diff --git "a/data/dm_maths/full_data/10673_11255.jsonl" "b/data/dm_maths/full_data/10673_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10673_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 2, -59, 1, -1 in decreasing order.\nAnswer: 2, 1, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/7 - 2*r**3 - 9*r**2 - 52*r\/7 - 427. Let o(c) = 0. Calculate c.\nAnswer: -2, -1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27\/28 - 5\/4. Sort -2, 3, v in descending order.\nAnswer: 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 35251*o - 1022282. What is m(29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 3*d**2 - 2*d + 3. Suppose -5*m - 24 = -74. Suppose -3*t + m = 22. Determine u(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l + 5. Suppose 5*d = 459 - 39. Suppose -l*y + 106 = -d. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*o + 20*o**4 + 11*o + (3*o**3 - 2*o**3 - 2*o**3)*(10*o - 14 + 14) - 5*o**4 + 2*o**4 + o**4.\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Suppose 3*l - i*z - 30 = -l, -2*l + 30 = 2*z. Suppose -2*v = v - 12. Calculate the remainder when l is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -1\/27 (b) 3 (c) -1\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2709*-288031\nAnswer: 78027.5979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6270, 30000, 69548, 124914, 196098, 283100, 385920?\nAnswer: 504558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3752740.\nAnswer: 2, 5, 187637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2 - 29. Let m(t) = -3*t. Give m(c(w)).\nAnswer: -15*w**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01028 at most 7\/138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270629 divided by -6?\nAnswer: -270629\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650853?\nAnswer: 3, 7, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-34)\/(i**(4\/7)\/(i**7\/i)))\/((i**(-2))**46)**(-21) assuming i is positive.\nAnswer: i**(-13248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) + (1040\/(-30))\/(-13). Solve -16 = -4*v, -3*q = 2*q - o*v - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.172 and 6?\nAnswer: 1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33322*x = -33290*x - 128. Solve x*m - 3*k + 3 = -0*m, -33 = -m - 6*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104714 or -104741?\nAnswer: -104714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 13422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 386490 and 832.\nAnswer: 12367680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243900.\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7596)\/(-90))\/(2\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 7:11 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 5938353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 554.40936 + -554.2. Let z = 0.2589 - r. Let o = 0.05 - z. Round o to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*1.628038.\nAnswer: -0.04884114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 1771.\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)*(7 + -5). Suppose 2*r + 247 = -3*j, -r = c - 6. Let a = j + 105. What is the least common multiple of a and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262198 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -122. Suppose 8*p = p + u. Solve 0 = -p*x + 2*v - 31, -4*x - 7 = 5*v - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -880, -917, -970, -1045, -1148?\n\"Answer: -y**3 - 2*y**2 - 24*y - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**7\/42 + 8161*z**6\/30 - z**4\/12 - 4549*z**3\/6 + 795*z + 1. Find the third derivative of h(o) wrt o.\nAnswer: -60*o**2 + 195864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 501 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l**2 + 4*l - 2. Let c = 1613 - 1611. Calculate f(c).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**3\/6 + 13*b**2\/2 + 3*b. What is the units digit of l(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/154 + 2\/7. Which is the biggest value? (a) 4 (b) 12 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g - 4*m = 20, -g + 5 = -4*m. Suppose 5*c + 15 = 5*y, -4*c = -0*y + y - 13. Is c*g\/6 - -20 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/74 and 51\/10040024.\nAnswer: 10040024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/140 + 12\/84. Factor 0 - 3\/4*y + 1\/4*y**2 - z*y**4 + 3\/4*y**3.\nAnswer: -y*(y - 3)*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 + (1 - 0). Suppose -s*h - 3*h = 30. Let i(r) = -7*r + 160*r**2 - 324*r**2 + 163*r**2 + 3. Calculate i(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 237 + -241. Put l, -0.7, 3 in increasing order.\nAnswer: l, -0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 + -144.0000147. Round r to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 422 + -370. What is the greatest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 - -71. Let z = g + 191. Solve 3*r - z = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2375 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, 5, 6 in increasing order.\nAnswer: 5, 6, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001100111110110 (base 2) to base 9.\nAnswer: 618502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:26 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 8, -8, -52, -136?\n\"Answer: -2*o**3 + 4*o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 2085 = -8*j + 147*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -3927?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.18 (b) -363 (c) -1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*g + 49, -2*z = -5*g + 42 - 50. What is the remainder when 1815 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388558, -388549, -388538, -388525, -388510, -388493?\nAnswer: -388474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139470 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3540 and 19650?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -811 * 29\nAnswer: -23519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/27064 and -57\/10?\nAnswer: 135320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -24, 0.476, -11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 6. Let o(b) = -b - 2. Give -7*o(d) - 2*u(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37908 is divided by 1227.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 6080637632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216 + -214. Solve 2 = y*t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/6 and -14\/1089.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/4156 and 45\/16.\nAnswer: 16624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -184, -183, -182?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 12*n**2 - 10*n - 26. Is z(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 90 = b, 3*s + 33 = 2*b - 132. Let f = -76 + b. Are f and -1\/58 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247328 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -42*m**2 - m + 1. Let k(a) = -69*a**2 - 2*a + 2. Let n(i) = k(i) - 2*o(i). Let j(x) = 2*x**2. What is j(n(v))?\nAnswer: 450*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 3. Let w = -8 - g. What is the closest to -0.1 in -1\/4, w, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 30. Suppose -5*g + u*p - 227 = -1016, 4*p = -4*g + 612. Suppose 0 = 8*o - 772 + g. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-15)\/(-6)) - -2. Suppose 4*k + k + 10 = b. Is (k - 1)\/(9\/(-138)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*1*1*5 - ((sqrt(330)*2)\/sqrt(6))\/sqrt(11)*2.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 422*k**4 - 1 - 857*k**4 + 6*k - 2*k**2 + 430*k**4 to the form r + w*k**3 + i*k**4 + s*k + t*k**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102954 divided by 6.\nAnswer: 17159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -85, -8609.\nAnswer: -8609, -85, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101001001110001 (base 2) to base 13.\nAnswer: 42474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 17*k + 189. Suppose -50 = -166*v + 171*v. Let l be y(v). Which is the biggest value? (a) 5\/2 (b) l (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**3\/3 + 45*y**2\/2 - 119*y + 85. Is m(40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 20372?\nAnswer: 61116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200012002 (base 3) to base 16.\nAnswer: -80ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194609370 by 23154.\nAnswer: -8405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28199329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1153 + -1150. What is the second biggest value in 7, -31, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1109706141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -5. Let d(a) = -a**2 - 8*a + 4. Let x be d(-7). Suppose p + 5*u - x - 2 = 0, -3*u + 17 = -4*p. Put 0, y, p in descending order.\nAnswer: y, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-1\/3)*d)*d)**(1\/3)*d**(-4)*(((d**6*d)\/d)\/d)\/d assuming d is positive.\nAnswer: d**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1724, 3452, 5180, 6908?\n\"Answer: 1728*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-84) - (-22)\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - 1000001101000110?\nAnswer: -1000001101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6752407349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -470, -4, 4 in ascending order.\nAnswer: -470, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 64 = -0*n. Suppose 27*g - 136 - 99 = -73. Find the third derivative of 61*c**5 + n*c**5 + 32*c**g - 23*c**2 - 125*c**5 wrt c.\nAnswer: 3840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 8 - 2\/15*a**2 - 34\/15*a = 0.\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82366648 divided by -2941666\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -129*d**5\/20 - d**3\/6 - 2655*d**2. Let c(a) = a**2. Calculate h(c(l)).\nAnswer: -387*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32658021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-359*b - 1172*b + 479*b)*(3 - 2*b - 3).\nAnswer: 2104*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/16 + 1\/4. Let y = 2 - -2. Let b = y - 3. What is the smallest value in b, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = c + 5*j, 0 = -j - 3 - 2. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1230.19 + -1246. Round z to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 + u - 2*u - 2*u**3 as k + l*u**3 + f*u**2 + g*u and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1452 and 6456318?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 64. Let s = d - -34. Let y = 26 - s. Which is the nearest to -1? (a) -1\/4 (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-0.024.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 66.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2686, 5378, 8056, 10714, 13346, 15946, 18508?\n\"Answer: -k**3 - k**2 + 2702*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 5, p: 1, v: 1}. Give prob of picking 1 v and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k + 2*k**3 + 21*k - 10*k**3.\nAnswer: -8*k**3 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kclk when four letters picked without replacement from tkjckkltk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104327736 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 + -4 - (30 + -34). Suppose -j - t + 4 = -6, -5*j - 2*t = -44. What is the third biggest value in 3, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 6. Suppose 4*t = p + 1, w*p + t + 4*t = 70. Calculate the smallest common multiple of 7 and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 - r + 12. Give v(5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = f, -2*j + 11 = 5. Let z be f\/(-1) + 2560\/4. Suppose -4*v = -4501 - z. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by -3\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-6)\/g)\/g)\/g)\/((g\/(g*g*g\/(g\/(g*g**(-8\/7))*g)*g))\/g))\/((((g**(9\/4)\/g)\/g)\/g)\/(g**14\/g)) assuming g is positive.\nAnswer: g**(185\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402 and 8241.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Let f be ((-1)\/(-5))\/(s\/(-10)). Let u = 2680\/13 + -206. Which is the nearest to f? (a) -5 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from clclccccccl?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*(-4)\/(-6))\/1. Let z be (-2 - 1 - -3)\/1. Suppose -s + 3*s - 22 = z. Solve 1 = r*j + s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*r**2 + 4*r**3 - r**3 + 51*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -9. Is 2\/p + (-7473)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 14*f**2 - 19*f - 241. Let s be b(-4). Let m(d) = 1. Let i(x) = 2 + x - 2*x + 4. Give s*i(q) + 30*m(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1061*b + 31. Let q be c(1). Let i = q - -1749. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15225 and 95350?\nAnswer: 58068150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 81*u**2 + 4*u - 180. What are the prime factors of g(-11)?\nAnswer: 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014336487 rounded to five decimal places?\nAnswer: 0.01434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 6. Suppose -4*k + 7 = -17. Let g be j(k). Which is the nearest to g? (a) 3\/2 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 98543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, -3, -164, 3, -1 in increasing order.\nAnswer: -164, -22, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56.4 - -61.054. Round b to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((-4)\/2) - -2. Let o = 237 + -1192\/5. Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 2, b: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 2*z**2 + 115*z\/3 + 100.\nAnswer: -(z - 15)*(z + 4)*(z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, v: 6}. What is prob of sequence mmm?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Suppose -g*b = -5*p + 2*p - 111, -29 = -b + 5*p. Let l be (14 - (-1 - -14)) + -3. Sort 1, b, l.\nAnswer: l, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 7*x - 2. Let k be n(6). Let s be 0*-2*2\/k. Solve u = -3*q + 2*q + 1, s = q + 2*u + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213403793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15186 + -12141. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - k - 39879 - 15869, 0 = -3*r + 3*k + 41802. Is 101 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -402934.969 to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 101, 210, 319?\n\"Answer: 109*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/92 and 25\/322?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6837547.8 rounded to the nearest one thousand?\nAnswer: 6838000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9749 and 5.\nAnswer: 4.0251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1133972 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -88.2 * -0.3\nAnswer: 26.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 5 (b) 4\/5 (c) -1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 3 + 3)*(-2*b + 2*b + 2*b)*(7619 - 3392 - 3736 + 4*b).\nAnswer: -8*b**5 - 982*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1816? (a) 1\/164 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5852\/101 less than -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(48\/784)*1\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0*t + 0 + t**2 - 1\/24*t**4 - 1\/2*t**3. Give o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 8) to base 12\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 590031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + r + r)*(r - 2*r + 3*r) + 0*r**2 - 2*r**2 - 3*r**2 + 2*r to the form l*r**2 + g*r + u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 1. Let q be (-9)\/(-5) - 2\/(-10). Which is greater: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 64 = -5*r + 3*y, y = 2*r - 26. Let z be 4\/6 - (-46)\/(-6). Let h(l) = l**2 - l + 4. Let c be h(z). Calculate the highest common divisor of r and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuur when four letters picked without replacement from {u: 5, m: 2, r: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*l = 331*l + 2568. Let d = l + -316. Solve -5*b + 23 = -3*v, -d = -2*b + 2*v - 5*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o - o**2 - o**3 + 2*o**3 - 3 + 4*o**2 + 0. Give b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/(4\/(-14)) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4\/23, 9\/343, 0.5, 0.6 in increasing order.\nAnswer: 9\/343, 4\/23, 1\/4, 0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 310902 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 30*f = 28 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**(3\/4))**(-9)\/((v**(2\/9)\/v*v**(2\/7))\/(v\/(v\/(v*v**(-3\/4)*v))*v\/(v*v\/v**(-1\/8))*v)) assuming v is positive.\nAnswer: v**(629\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1*4)\/(sqrt(54)*3))**2 + (sqrt(190) + (sqrt(190) - (sqrt(190) + sqrt(190)*3))*5)\/(sqrt(10)*1*4).\nAnswer: -7*sqrt(19)\/2 + 304\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/328328 and 37\/1595638.\nAnswer: 580812232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3 + 118*w**2 + 62*w**2 - 21*w**2 + 1. What is the units digit of d(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158228.\nAnswer: 2, 7, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894*b + 18209 + 5815 + 10532 = -2098 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34216280821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 + 2.3. Let f = 0.2 - 0.3. What is the nearest to f in -2, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/3 (b) -5 (c) -2\/5 (d) 29.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*c - 29181, -28*n - 38891 = -32*n + c. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -1\/48*v**4 + 3\/8*v**2 + 1\/12*v**3 - 1 - 69*v. What is s in w(s) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 90?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 5*b**2 + 2*b + 2. What is s(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) - (-5 - -10). Let o(h) = 5*h + 26. Let r be o(y). Let j be 3\/(5 - 4) + r. Solve -d = -4*s + 12, -4*d - j = 5*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 3*a = a - 17*w - 45, 382*a - 2*w = 378*a + 30 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Suppose 7 = 3*d + p*u, -23 = -2*d - 3*d + 3*u. Let c = -1894\/11 - -172. What is the closest to 1 in d, -2\/13, c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2447 and -26909\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 13. Let n be o(-11). Let r(s) = 4*s**2 + 3*s. Let t be r(n). Is 6\/t - 74\/(-10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1 + 3 + -6. Let k be -5 + 2 + 8\/l. Which is greater: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142107100?\nAnswer: 2, 5, 31, 45841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 8:46 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 17*c - 46. Determine k(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952 and 3604.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11623*g**2 - 11610*g**2 + 23231*g**2 + 1262.\nAnswer: -2*g**2 + 1262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b + 16. Solve -2*y = y - b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 7:29 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 1\/119 (b) 18 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 13*d**2 - 4*d - 20. Let z(u) = -26*u**2 + 7*u + 39. Let x(f) = 7*y(f) + 4*z(f). Differentiate x(b) wrt b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8596415887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*d = 275*d + 12. Suppose y - 3*m + 0*m - 601 = 0, -3*m = -d*y + 1791. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 5*n**8\/42 + 103*n**4\/6 + 811*n**2. What is the second derivative of s(k) wrt k?\nAnswer: 800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*j + 600 = -224, 3*x - 2*j - 1231 = 0. Calculate the greatest common divisor of x and 1036.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 254210 to the nearest one thousand.\nAnswer: 254000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*k + 170208 = 25130, -4*k = z - 29042. What are the prime factors of z?\nAnswer: 2, 11, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2446 by 13845.\nAnswer: -2446\/13845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293214978 to the nearest integer?\nAnswer: 17124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:10 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 + 46. Let q = j + 103. Calculate the highest common divisor of q and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/7, 15.6834, 0.1, 5, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 2*w + 6. Suppose -4*y + 2*c = 6*c - 504, -y + 3*c + 114 = 0. Suppose 12*g + y = 51. What is u(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a74a0c - 4?\nAnswer: -a74a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 6\/5, -4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 - -223dd?\nAnswer: 22425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265 - -152. Let x(f) = 14*f**2 + 12*f + 8. Let o be x(-4). Let t = o + l. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/33? (a) 2\/9 (b) -2\/3 (c) 3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b**2 - 5*b**2 + 23*b**2 + 6*b - 3*b wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 + 8*t**4 + 26*t**4 + (-3*t - 1 + 1)*(-3*t**2 + 3*t**2 - 3*t**3).\nAnswer: 38*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 100a527 - 8?\nAnswer: 100a51e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37 (b) -2\/13 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2\/3 (c) 8 (d) -0.47 (e) 0 (f) -1\/6 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*v**2 + 44*v**2 - v**3 - 35*v**2 - 1 + 2*v as w + m*v + y*v**2 + o*v**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 975 = -3*j - 0*l, -2*j - 2*l + 658 = 0. Suppose -26 = -6*r - 2. Suppose -j = u - r*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + n. Let a(f) = 21*f**2 + 11*f. Let y = 165 - 161. Let b(z) = y*a(z) - 44*o(z). Let k(m) = m**2. Determine b(k(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 2*f)*(1 - 3 + 0) + f + 3*f - 2*f - 2*f + 2 - 2 - 97*f + 48*f + 72*f.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 5*f = -92. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 11. Let z(u) = -1. Determine i(a) - 3*z(a).\nAnswer: a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4555658 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) 0.2 (b) 5389 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -57. Suppose -4*o - 4 = -c + 14, 0 = 2*c - 3*o - 31. Suppose 10 = -5*k + 6*k - 2*n, -c = k + 4*n. Calculate the highest common factor of k and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(63) + sqrt(7))*-6.\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 6*o**2 + 5*o. Let f(s) = s**3 + 2*s**2 + 4*s + 3. Suppose 4*v - 12 = 4, -5*h - 26 = -4*v. Let x be f(h). Give q(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, z: 7}. What is prob of sequence sss?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 56 = 2*q, -q = -2*h - 0*q + 49. Let c(s) = -2*s**3 - 7*s**2 - 3*s. Let j be c(-6). What is the greatest common factor of h and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 + -5 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389495781 is divided by 236?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, 2, -1, -5 in ascending order.\nAnswer: -5, -1, 2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 65821 (base 9) to base 5\nAnswer: 2344203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -72?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 112) + 21 + 7 + -7 + 0?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -371 or -125165\/338?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1369 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3896*m**3 + m**2 + 21*m + 36. List the prime factors of d(-2).\nAnswer: 2, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -37. Suppose -3*l + 8 + h = -4*a, 2*l = 4*a + 6. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-1\/4)))**(41\/5)\/(l\/l**0)**(1\/32)*(l\/(l*l\/l**(3\/7))*l)\/(l\/l**(-6)*l)*(l\/((l\/l**(-2\/7))\/l))\/l*l**(3\/5)\/l assuming l is positive.\nAnswer: l**(-11579\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138888 - -63888. What is o rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72541909 divided by -5\nAnswer: 72541909\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 587069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0*b**6 + 2\/525*b**7 - 1\/75*b**5 - 1\/60*b**4 + 0*b + 1\/840*b**8 + 17*b**2 + 0*b**3 + 0. Factor u(h).\nAnswer: 2*h*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 33*l - 263. Give a(12).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 39.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 5 + 31 = 0. Does 12 divide (268\/16)\/(l\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 10 + 102. Let s be g\/192 + (-4)\/(-6). Let h = -11 + 7. What is the second biggest value in h, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 3, e: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, -0.2, -5, 34\/9, 1.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 10) to base 3.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.573246 nanograms in tonnes?\nAnswer: 0.000000000000008573246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166812821.\nAnswer: 3, 129645869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 - 95*p - 977*p**2 - 12 - 429*p wrt p?\nAnswer: -1954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1829.59 to the nearest 10.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3) + 1 + (-11662)\/2058?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39636, -76394, -113154, -149916, -186680, -223446, -260214?\nAnswer: -296984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/6, 33, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(320) + ((2*sqrt(320) + sqrt(320))*-1 - sqrt(320)) + sqrt(320) + ((sqrt(320) - (sqrt(320)*2 - sqrt(320)))*-1 - sqrt(320)) + 4)**2.\nAnswer: -192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 2*z**2 + 0*z**2 - 5*z**3)*(6 - 1 - 3).\nAnswer: -4*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 14}. What is prob of sequence eeze?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 689321 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*1*(375 + -7). Are 181 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/4 - (-15345)\/44. Suppose 15*c - 760 = d. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*j, -62 = -3*s - 5*j. Let q(i) be the second derivative of i**5\/20 - i**3\/3 - 3*i**2\/2 + 3*i. What is the remainder when q(4) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkuukjnkknnj. What is prob of picking 2 k?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*u - 1 + 4, 0 = -3*f + 2*u + 3. Differentiate 3*r**3 - 4*r**f - 5*r**3 + 2 with respect to r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 12223110122333?\nAnswer: -12223110123010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.7. Let t = -9 + 17. Let k = t + -9. Sort x, 0, k in decreasing order.\nAnswer: x, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*l**3 + 3*l - 108*l**3 - 129*l**3 + 88 - l with respect to l.\nAnswer: -555*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.21, 0.06, -1.4, -17 in increasing order.\nAnswer: -17, -1.4, 0.06, 5.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/7 + 53*c\/7 + 580 = 0. Calculate c.\nAnswer: -29, 140\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2847 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 16778\nAnswer: 3\/16778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by (-304)\/(-14) + 10\/35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*x + h - 2*h, -3*h = -3. Let f(w) be the first derivative of w**2 + x + 1\/4*w**4 + 0*w**3 + 0*w. Find the second derivative of f(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + -3 + -2 + 2 - (-530 - -532)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-392)\/(-70))\/(2\/5). Calculate the remainder when 33 is divided by -2 + (b*6)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 0*j**2)*(189*j + 28*j - 15*j) - 3*j + 6*j**3 + 3*j.\nAnswer: -196*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2*x**2 - 306*p**2 + 23*p*x**3 - p*x**2 with respect to x.\nAnswer: 4*p**2*x + 69*p*x**2 - 2*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-214536)\/(-70))\/(3\/1010). Let f = y + -699816. Round f to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 1. Let c be u(-3). Suppose -15 = -c*z, 0*n - 6 = 2*n - 2*z. Solve -s - 4*s + 10 = n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:52 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 40 + 8. Let s be -70*-2*(-30)\/(-42). Is 9\/j*s\/5 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -70. Suppose -l*g = -24*g + 17015. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thtj when four letters picked without replacement from nhhthjtjjt.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071473373 to six decimal places.\nAnswer: -0.007147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + y - 4*y = -1612, -3*b + 2*y + 971 = 0. Suppose 0 = -8*d + b + 9813. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*f - 270 + 116 + 1124 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3667 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 506184 divided by -131.\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3017?\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26953 - 26953 - 514*c)*(6 + 2 - 5)*(-4*c + 2*c + c).\nAnswer: 1542*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - 15*x**2 - 36*x + 22. Let z be o(-13). Suppose z = 7*j - 1803. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 + 8 = 0. Let j = 8 + x. Suppose -j*a = -0*a - 30. Solve 0 = 3*l + 3*w - a, 6*l + 13 = 2*l + 3*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in 5, -37\/5, -3, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -1 + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1, -83 in descending order.\nAnswer: 1, -1, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/20 + z**3\/6 + z. Let v be b(1). Suppose v*l - 12 - 2 = 0. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91363555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2320 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1394, -1319, -1200, -1043, -854, -639, -404, -155?\n\"Answer: -g**3 + 28*g**2 - 2*g - 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86411 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(10\/6) + -2. Suppose 2*t = 5*t - 15. Let y = t + z. Let w(n) = n + 3. Calculate w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 729 - 7509 = -3*c, 13775 = 5*c - 4*f. Suppose -5*k + 18 + 7 = 0. Suppose -3*u + 238 = k*q - c, 0 = -4*q + 4*u + 2404. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m**3 - 77*m**3 + 0*m**3 - 76*m**3.\nAnswer: -173*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21136 take away -0.5?\nAnswer: -21135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -3 - (0 + 1). Let z(h) be the first derivative of h**3 + 5*h**2\/2 + 4*h + 2. What is the lowest common multiple of 16 and z(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/(k\/((k*(k*(k\/(k*k**(-6))*k)\/k)\/k)\/k*k)))**18*(k**(-1\/3)\/(k**(-5\/4)\/k*k*k))\/(k*k*k*k**1*k)**(-1\/43) assuming k is positive.\nAnswer: k**(55745\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaoaoo. What is prob of sequence oa?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**4 + 0*a**4 - 3*a**4)*(3*a - 4*a + 6*a) + (-a**4 + 0*a + 0*a)*(6*a + 16*a - a) + 8*a - 2*a**5 - 8*a + a**4.\nAnswer: -13*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 6 + 5 + 6. Let n be 2 + 4\/(8\/6). Let -s + 56*v + 11*v**2 - 49*v**2 + 43*v**3 - 58*v**2 - 11*v**4 + 23*v**2 + v**n = 0. What is v?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = 42*x - 581. Solve -p + x - 24 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 71 = -z, -3*z = -l - 0*l + 3. Suppose -r - l = -4*r. Let j(b) = -b + 6. Let h be j(r). Solve -7 = 4*c + h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -332, -320, -300, -278, -260?\n\"Answer: -r**3 + 10*r**2 - 11*r - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11261283 is divided by 1832?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 1. Let t(o) = 10*o - 2. Let m(j) = 4*n(j) - 3*t(j). Determine m(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 15*y - 53. Calculate j(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38546074769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 551 + 3?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2 - 6329241*f + 58671331.\nAnswer: 4*f - 6329241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1095\/(-30) + 39 + (-1)\/(-4)*-2)\/4. Let n = 0.09 + -5.09. Put n, b, 19 in descending order.\nAnswer: 19, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6966 divided by 162\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + v + 12, -5*v = -i - 0*i + 4. Suppose -2*n = l + 3*n + 24, 0 = -9*l - n + 48. Calculate the least common multiple of l and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -12. Let k = a + 4.9977. What is k rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62736.0955 to the nearest integer.\nAnswer: -62736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42756931\/33 + 1295772. Let b be (-3)\/(-12) - 1345\/(-12). Let f = b - i. Calculate the common denominator of f and -74\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315567143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 63*n + 99. Let h be c(33). Solve -17 = -5*m - h*w + 2*w, 0 = -3*m - 2*w + 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhqhyhhhqhiqqhqi.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-24))\/((-1)\/(-1)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/828 and 55\/1158.\nAnswer: 159804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01935909 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8094068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14944 and 6176.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 28 + 5*w + 33. Calculate the remainder when 41 is divided by k(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*1*6 + sqrt(98).\nAnswer: 49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 8*i - 0*i. Suppose -2*z - 8 = i, 0 = 2*g + 4*z - 2*z - 876. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2 - 23736*g + 35212356 = 0.\nAnswer: 2967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13590515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5094 - 2189. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1349 - 824. Suppose 531 = 4*w - 3*l, 0*w - 3*l + u = 4*w. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 14. Let c = -275 - -176. Let n = -86 - c. What is p(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 3*z + 87. Determine p(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4210143414 to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114.6185 meters to millimeters.\nAnswer: 114618.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z - z)*(-z - 2*z + 2*z) + 0*z**2 - 2*z**2 - 2*z**2 + 878*z**2 - 231*z**2 + 376*z**2.\nAnswer: 1021*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 4*g + 2*g - 5*g + 3*g - 11.\nAnswer: -g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 647, 2432, 6125, 12416?\nAnswer: 21995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -29*w**4 - 9600*w**3 - 84373*w**2 - 2898*w = 0?\nAnswer: -322, -9, -1\/29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-2)\/(-4)). Let c be (-2)\/8 + 114\/(-24). Put c, f, 5 in decreasing order.\nAnswer: 5, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 11 = -4*k - f, 3*k + 2 = -2*f. Let o(b) = 8*b**2 - 4*b + 1. Let n be o(1). Solve k*i - 4*g = -i - 9, -n*i - g - 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) 2\/11 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1297 - -2058. Let f = h + -761.371. What is f rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(10668\/12744 - 10\/12). Let h = -116\/177 - j. What is the closest to h in 2\/11, 2\/7, 8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 0*r**4 - 2*r**4)*(3 - 3 + 2*r).\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r + 7. Let y(p) be the third derivative of -5*p**4\/24 + 4*p**3\/3 + 52*p**2 - 3*p. Calculate 4*l(h) - 3*y(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-96)\/9)\/4)\/(3\/(47223\/318))\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1.5, -78, -1689.6?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11652 is divided by 5772.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2683 - 788?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 11*v**2 - 38*v - 5. Calculate the remainder when 100 is divided by b(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Suppose 5*x - 2*x - 3*p = 15, -2*x - 3*p + 10 = 0. What is the nearest to h in x, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqqtxtjbxgbbxbjqqjt. What is prob of picking 2 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 9. Let g be (-1)\/(16\/17 + n). Solve -f + g = 4*m - 0*f, -m - f = -5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1\/8, -297, 0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30705, -122864, -276461, -491496?\n\"Answer: -30719*v**2 - 2*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1502 - -1505. Let i(l) be the first derivative of 1 - 6*l + l**s - 3\/2*l**2. Factor i(q).\nAnswer: 3*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**2 + 2296*t + 28128 = 0?\nAnswer: -12, 586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/60 and -91\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 883 - 884. Which is the nearest to l? (a) -5 (b) 2\/3 (c) -1\/3 (d) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**5*r))**(-32)\/(r\/r**(-17))**(-9) assuming r is positive.\nAnswer: r**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1460.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in -0.3, 12, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4*m + h = 73, -2*h - 39 = -m. Suppose 7*g - 6*g - m = 0. What is the remainder when 71 is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*i, 6*t - 2*t + 23 = 5*i. Let z = i + 0. Suppose 2*k = z*d + 32 + 2, 4*k - 5*d - 64 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28)\/(-4))\/((1*-2)\/(-26)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r + 7. Let o be d(8). Suppose 4*z = -5*x - o, -5*z - 30 + 8 = x. Let j = x - -17. What is the lowest common multiple of j and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 132 + 5*q - q)*(-8 - 5 + 4).\nAnswer: -36*q + 1296","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 21684608789155?\nAnswer: -21684608789155.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 13.2 (b) 9\/11 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7526 - 0.8474. Let a = -3.8 - 1.2. What is the third smallest value in 2\/9, 0.5, a, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/63*(-42)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5889?\nAnswer: 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - ((-30143)\/44 + 1). Let s = l - 683. Let v = -1\/4 + s. Which is the closest to -0.1? (a) -2\/13 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 1. Let t be l(-1). Suppose 19 = 4*y - t*i, -9 + 1 = 2*y + 2*i. Solve 2*x - 7 - y = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1494445*j**2 - 6*j - 16. Let o be t(-6). Round o to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - -30. Let z(u) be the first derivative of -4*u**2 + 71*u - 4. Calculate the remainder when y is divided by z(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 14*d - 13. Let b be j(-15). Suppose b*k - 28 = -10. Find the third derivative of -7*l**2 + 12*l**5 + 14*l**2 - k*l**2 wrt l.\nAnswer: 720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2. Let s(k) = -19*k + 2. Determine q(s(m)).\nAnswer: -361*m**2 + 76*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310 + 265 + (2 - -92).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0564728*-3\nAnswer: 0.1694184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-6)\/9*(-54)\/2. Suppose 3*z - 6*z = 0. Suppose 2*d = -z*d + 8. Let r(h) = -3*h - 1. Let w(l) = -13*l - 4. Give d*w(p) + u*r(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 6*v + 3. Calculate a(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 38. Let b be j\/(-30)*10\/(-4). Does 8 divide 193\/8 + b\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 2*s + 4. Determine c(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -255?\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1453 - 1452.9. What is the nearest to w in -4, 1, 1.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 96 - 1345*k**3 + 89.\nAnswer: -1345*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*c + 6023 = 0, 13*i - 17*i - 5*c + 4832 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -174428 and -174427 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*(-27)\/18. Let x be (-2)\/5 - (-16)\/(-10). Let l(u) = u**2 + 3*u + 2. Let q be l(x). Sort 3, k, q in descending order.\nAnswer: 3, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1551 - 1?\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 166 = -20. Let g be (-1)\/4 - k\/(-24). Let c = 8 + g. Solve 0 = 5*u + 5*i - 15, u + c*i + 3*i = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52\/7, -0.4, -1.\nAnswer: -1, -0.4, 52\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/220270 and 3\/40.\nAnswer: 881080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -39 (c) 0.053 (d) 1\/87 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - f + 68804*f**2 - f + 23768*f**2.\nAnswer: 92572*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2337532.2 milliseconds to hours.\nAnswer: 0.6493145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) -3 (c) -0.018 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20955 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrgrgrgrrggrr. Give prob of picking 4 g.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51076 is divided by 382?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o + 64. Suppose -19*t = -438*t - 9637. Determine a(t).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:52 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x. Let u be m(-3). Suppose 0 = -u*l + 2*l + 54. Suppose 0 = -6*t + 3*t - v + 48, -4*t + l = -2*v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.8439 or -16904?\nAnswer: -16904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22 + 17*b**2 - b - 23*b + 38*b**2 - 56*b**2. Give g(-17).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 9:12 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 + -168. Solve z = -0*z - 5, -3*g + 3*z + a = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1.88. Let r(g) = 14*g**2 - 95*g - 16. Let w be r(7). Which is the biggest value? (a) w (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 13660 = -0*v. What are the prime factors of v?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -401 (c) -1 (d) 0.14 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(325) + sqrt(13))**2 + -1 + sqrt(13)*1)*4.\nAnswer: -236*sqrt(13) + 1968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(16) + 1*sqrt(16))*3)\/(sqrt(32)\/sqrt(4)*-5 - sqrt(8)).\nAnswer: -5 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 5*z**7\/42 + 11*z**3\/6 + 13*z**2. Differentiate p(s) with respect to s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/7, -3, 354?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 2*u**3 - 8*u**4 - u**2 + 6*u**4 - u as p + d*u**2 + f*u**3 + t*u + w*u**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - 660. Calculate the common denominator of -115\/24 and -366*(-4)\/g - -2.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41280*h**2 + 3*h**3 + 115134*h**2 - 36928*h**2 - 36926*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20402 + 11?\nAnswer: -20341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofs when three letters picked without replacement from offsfoof.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 9. Let r(c) = 2*c**2 + 2*c + 3. Let b be r(-2). Let j(p) = 4*p - 2*p + 6*p**2 - 2 - p**3 + p - b. What is j(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 5, w: 12}. Give prob of sequence wkg.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3479?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 27. What are the prime factors of ((-812)\/(-10) + -2)*(q + 0)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/9 and 47\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = 5. Suppose -2*b + y + 20 = 3*p, 3*p = 5*b. Solve 3*m = -15, 8*z - 3*z = b*m + 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*f + f + 38, -4*o + 5*f + 152 = 0. Let n = 76 - o. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*g**3 + 117*g**3 + 18*g**3 - 157*g**2 + 11*g**3.\nAnswer: g**3 - 157*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.49 to one dp.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 27*u**2 + 15. Let n(x) = 5*x - 25 + 4*x**2 - 5*x + 23 + x**3. Let f be n(-3). Let z(l) = 0 - f*l**2 + 2 - 6. Calculate 4*h(q) + 15*z(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -453.74 + 454.24. Let f = -1.3 + 0.3. What is the second biggest value in r, f, -0.2, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 314 - 114. What is b rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12104)\/(-20) + (-6)\/(40 + -10). What is the highest common factor of 165 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -128*f - 1011. What are the prime factors of i(-31)?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 5404*g + 614612\/3.\nAnswer: (g - 16174)*(g - 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -422*w**3 - 247*w**2 - 235*w + 13. Give y(-1).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 134587078 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**26*(y\/(y**(-28)\/y))\/y)\/((y**(-18\/5)*y)\/(y\/(y*y\/(y\/y**(-1\/17))*y*y*y))) assuming y is positive.\nAnswer: y**(4646\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 87)*(4*z + 0*z + 2*z)*(-25*z**2 - 4 - 3*z**2 + 3).\nAnswer: -14280*z**3 - 510*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 7*c + 10. Let z(p) = 5*p**2 - 36*p + 51. Let j(o) = 11*a(o) - 2*z(o). Let i be j(7). Solve -5*t - i = r - 4*r, 2*r - 18 = 4*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 17, -0.0622, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -528, -806, -1098, -1392, -1676?\nAnswer: -1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -630 + 5672\/9. What is the closest to -2\/5 in -0.3, 0.9, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3.2. Let u = 11 + -11.1. What is the second smallest value in o, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*l - 158 = 1422 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24030204 - 3?\nAnswer: -24030212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-18)\/14 + (-185)\/(-35). Suppose -j*d + 1010 = 5*l, 0 = -2*d - 10 + 2. List the prime factors of l.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -16. Suppose 11 + 19 = 5*b. What is the derivative of -4 - b + f - 4*i**2 + 7*i**2 wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7705 + 11338. What are the prime factors of z?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:27 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c (base 15) in base 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -142410, -284821, -427232, -569643?\n\"Answer: -142411*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135212 is divided by 66000?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:36 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523*l - 109*l = -31600. Let x = 121 - -54. Calculate the greatest common factor of l and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 6*t + 8. Let v be z(6). What is the hundreds digit of 447*v\/(-48)*-14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, -1\/3, -1, -34, 4, 0.402 in decreasing order.\nAnswer: 4, 9\/4, 0.402, -1\/3, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426*k - 280 = 416*k. What is the greatest common factor of k and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8)*-2*-2) + 2)*-3*-6.\nAnswer: 9*sqrt(5)\/2 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {d: 2, s: 3, t: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -32. Let d(x) = 3*x**2 + 10*x + 13. List the prime factors of d(q).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3583.\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1244\/7 - -178. Let v = -5.5 + 0.5. Let d = 116512 - 116506. Put d, 0.5, m, v in descending order.\nAnswer: d, 0.5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1517 + 4?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p - 8. Suppose -15 = 4*b - 47. What is the units digit of b\/p*(-20)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 256\/(-44) - (12 - 5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2110 and 142469310.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yynnnyyynnnyqn. Give prob of sequence nn.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93353219 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2486*s**3*x - s**3 + 449 wrt x.\nAnswer: 2486*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 - 2*l. Let x(u) = u**3 + u**2 + u. Let c(b) = -o(b) - 5*x(b). What is the second derivative of c(s) wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - -100000?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -41.4. Which is the second biggest value? (a) 1 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 8, r: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 119 * -738911\nAnswer: -87930409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Suppose -3*f + f = s + 1, -3*f - 4*s - 4 = i. Suppose -a - 3*t = -18, -a + 5*a + t = 17. Solve 5*y + 3*w + 10 = 4*y, w + a = f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-20)*-14*(-15)\/(420\/16). Factor 0 + 1\/3*a + a**3 + 1\/3*a**4 + a**y.\nAnswer: a*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -75. Let j = t + -56. What is the closest to 0.1 in j, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 99*m**2 - 1381*m + 1037. Give d(-82).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17880 or 72?\nAnswer: 17880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -191, -248, -299?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497350*f - 2*f**2 - 248677*f - 248673*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10796 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 116093*k + 348288. Determine x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9198*m**6 + 9*m**2 - 3830*m?\nAnswer: -1103760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose 21 = k*w - l, 2*w + 4*l - l = 41. Let a = w + -8. Solve -5*v - n - 2 = 0, -2*v - 4 - 6 = a*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) -30 (b) -1\/3 (c) -4 (d) 2 (e) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 3*s**2 + s - 1. Let o be m(3). Let g(x) = -x**2 + 3*x + 3. Let r be g(3). Solve -r + 1 = -o*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -781*(-1)\/(-2)*(0 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 184 (c) 0.3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**7\/42 - t**6\/6 + 11*t**5\/12 - 5*t**4\/4 - 17*t**2 + 2*t. Factor s(g).\nAnswer: -5*g*(g - 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 485?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-9 + -2 + 19)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n. Let h(s) be the third derivative of 1\/3*s**3 - 14*s - 2*s**2 + 181\/24*s**4 + 0. Determine f(h(x)).\nAnswer: -362*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1522 by -6.\nAnswer: -761\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4503 and 3528851.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 o, and 1 b when four letters picked without replacement from bobbbouunonhbobouho.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -4656.3.\nAnswer: -4658.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:39 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*a + 19*a + 24*a**3 - 5*a**3 - 3*a**3 - 18*a**3 - a - a**3 + a - 2*a**2 + 2*a**2 + a**3 + (4 + 1 - 3)*(a**2 + 2*a**3 - a**2) + 4*a**3 - a**3 - 2*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -26*z**3 + z**2 - 4*z - 3. Suppose 3*b + 16 = -b. Is a(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20790 - -20795. Suppose -4 = 3*d - 2*d. Let t be 4\/3*6\/d. Which is the closest to 0? (a) m (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3846538752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 3*r + 3. Let d be i(3). Solve -12 = p + 2*t, -d*p - 4 = -t - t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and -189936.\nAnswer: -3608784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2*u**2 + o**2*u + 129733*o**2 + 16302*o*u**2 - 9*o*u wrt o.\nAnswer: -4*u**2 + 2*u + 259466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) 2 (c) -13.4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 9*i - 6. Suppose -4*s - 8 = 2*t, 3*s + 22 = -5*t - 12. Let f be b(t). Let g(k) = 0 - k**2 + 2 - f - 1 + 4*k. Determine g(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1056715 by -11.\nAnswer: -96065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 != -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.4113377 seconds in weeks?\nAnswer: 0.00028507165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*m**5\/5 + 136*m**4 + 550*m**3 - 53700*m**2 - 633456*m\/5 - 72576 = 0. What is m?\nAnswer: -105, -24, -4\/3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4044012 + 14?\nAnswer: 4044031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 2 - 9*s + 4*s**2 - 9*s + 21*s. Let a be h(-3). Suppose 5*g = -4*b - 10, a*g + 0*b - 24 = 4*b. Solve -g*p - 3*p + 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(4\/9)))\/o*o)**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 0*b**2 - 4 + 2\/3*b**3 + 0*b. Let p(n) = -12*n. What is t(p(u))?\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*v - 8, 5*b = v + b + 7. Is v\/3 + 4 + 26 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -115*c**2 + 1037*c - 19. Let b be o(9). Sort 3, 26, 0, b.\nAnswer: b, 0, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/2 - -3. Let y = -125 + 121. Which is the nearest to t? (a) y (b) 4 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -3 - (-4 + 15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/221 >= 5140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**2 - 7*m**2 - 3*m**2 - 2*m**2. Let n(q) = 13*q. What is p(n(w))?\nAnswer: -507*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2880\/(-384)*(-1)\/((-9)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65787087299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120867 + 35*r + 69*r - 120867.\nAnswer: 104*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 5*x**2 - 18*x - 5. Let p be g(3). Calculate the greatest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**12)**(7\/4)*((y**1)**5)**(-32) assuming y is positive.\nAnswer: y**(-181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*s - 307*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 227083*o - 51566688889\/2.\nAnswer: -(o + 227083)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000968241797 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5942\/333 - 652\/37. What is the fourth smallest value in 6\/7, -5, 1\/6, h, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**3 + 24. Let x(a) = a**3 + 2*a**2 - 2*a + 1. Let c be x(-3). What is the tens digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -97*o**4\/24 + o**3\/6 + 2*o**2. Let i be b(-1). Suppose -i = -5*l + 3*l. What is the remainder when l is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8*n**2 - 17*n - 12. Let x(t) = 3*t**2 + 3*t + 64 - 60 + 3*t. Let c(m) = 6*b(m) + 17*x(m). Differentiate c(r) with respect to r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*c = 0, 4*c + 13 = 3*u - 1. Suppose -2*k - 5*s + 30 = -0*k, 2*k - u*s = 16. Let i = -6 + k. Calculate the least common multiple of 10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/8*r**4 - 87\/8*r**3 + 0*r + 45\/4*r**2 + 0 = 0. What is r?\nAnswer: -30, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p**2 - 7*p. Let h(s) = 1057*s - 525*s - 13*s**2 + 0*s**2 - 526*s. Determine -7*h(q) - 6*m(q).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 6*m - 373. What is r(-16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -5. Let w = i + -26. Let u = w - -1. Is u at most as big as 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*h = 98. What are the prime factors of (-2)\/(-7) - 976\/h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177135.\nAnswer: 3, 5, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l + 32 = 0. Let p = 190 + -191. What is the closest to p in 0, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.5 - 3.8. Let x = r + -20. What is the closest to -0.1 in 1\/2, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -25, 22, 109, 248?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:58 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2757624.\nAnswer: 1\/2757624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 102*t + 188 = 0. Let k = -5 + 9. Let m = -10 + 26. Solve -5*j = 2*g + m, -t*g - 5 - 9 = k*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.14 - 0.14. Let n = -1.1 + v. Let r be (-783)\/(-12) + 4 - 1\/32*8. Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 36 = -0*y. Let o(x) be the first derivative of -2 + y*x - 9*x + x**3. Let j(t) = 2*t. Determine j(o(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 343 + -223. Suppose 2*w = -3*w + y. Is (6\/w - 10\/8)*-973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 22*q**2 + 26*q + 51. Let c(g) = -g**3 - 12*g**2 - 78*g - 1206. Let l be c(-13). Determine t(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p + 5*p - 34. Suppose -86 = -5*i + 2*o, -3*i - i + 68 = -p*o. Calculate the greatest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 18*z**2 - 5. Determine h(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130977 and 623084?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*c = -44, 12*c - 42 = -4*b + 10*c for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58594462 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(5445) - sqrt(5445)*-2)*-6 - (sqrt(5445) + -2*sqrt(5445))*6)\/((sqrt(72)*1*-6)\/(sqrt(8) - 2*sqrt(512))).\nAnswer: -330*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 8*j**2 + 8*j - 2. Let p(r) = r**3 - 17*r**2 - 39*r + 13. Let t be p(19). Determine w(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33752 - 33752 - 1690*y**2 to the form o + t*y**2 + d*y and give t.\nAnswer: -1690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojooooo. Give prob of picking 2 j and 1 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 540610*c**2*s**3 - 116278*c**2 - 3*s wrt s.\nAnswer: 3243660*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14427000)\/27)\/(-14)*(-474)\/1. Round a to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 0 - (0 + 3). Let v be (-3 + 1 + 2)\/p. Suppose -2*m = -12 - v. What is the greatest common divisor of 15 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*f**2 + 1946354*f - 144142807.\nAnswer: -106*f + 1946354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 6*o + 4*o**3 + 8*o**2 + 54 - 16 to the form b + z*o**2 + v*o + c*o**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -730022.\nAnswer: 5\/730022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*w**6*z**3 + 8*w**3*z**3 - w**2*z**3 - 194*w*z**3 wrt w?\nAnswer: 17400*w**3*z**3 + 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2 - 5. Let u be ((-1)\/(-3)*-1)\/j. Let c = -0.1195 + 2.1195. What is the closest to c in u, 6\/7, -2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26896061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 183 + -14*8\/16. Calculate the greatest common factor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - w**3 - 16)*(1 - 5 + 3).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 3*b + 5 + 1, 4*b + 13 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 18*x**2 - 18*x + 8. Calculate q(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69619 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 8*u**2 - 41*u - 190. Give y(13).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000111000110111 - 10011?\nAnswer: -101000111001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3409170.98 rounded to the nearest ten thousand?\nAnswer: -3410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.4941 from -0.4.\nAnswer: 2.0941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 b when three letters picked without replacement from xxoob.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 336 - 138. Suppose -189*v + g*v = 99. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1239168 divided by -6.\nAnswer: 206528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1168*y**3 + 1206*y - 1. Let o(c) = -1752*c**3 - 1809*c + 1. Let s(i) = 7*l(i) + 5*o(i). Find the second derivative of s(r) wrt r.\nAnswer: -3504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 2\/2 - 0. Suppose -j*v + 2 + 6 = 0, v + 11 = m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-456)\/80)\/((12\/60)\/(2\/12)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3092 - 1912 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 47\/2*h**2 - 43\/6*h**3 + 0*h - 16 - 17\/24*h**4. Let s(u) be the second derivative of c(u). Differentiate s(j) wrt j.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 3, 27, 69, 135, 231, 363?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1220*n + 430*n**2 - 3663*n + 1220*n - 422*n**2 + 1223*n.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -43075527 divided by -3?\nAnswer: 14358509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23452*s = 31685*s + 74097 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/543250 and 11\/19885?\nAnswer: 52695250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-12)\/(-9)*3*(-9)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1093, -3\/23, -1\/4, 1\/17, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 174. Is 36 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -66*x - 457. Let h be u(-7). Let g(q) = q**2 + q - 6. Determine g(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 12 - 21) + 16 - 18.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)*1 + 1. Let i be (((-104)\/(-130))\/(1\/(-5)))\/(-2). Factor -2*v**i + u*v - v**2 - 4*v + 7*v.\nAnswer: -3*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2556, 4478, 6292, 7992, 9572, 11026, 12348, 13532?\n\"Answer: -b**3 - 48*b**2 + 2073*b + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -537077 divided by -1?\nAnswer: 537077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -363\/2 + 183. Is b not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwn when four letters picked without replacement from nnwwnwn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = 0, 9 = -u - 2*k - 12. Let v be 1 + -80 + 29 + u. Let a = -53 - v. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 564 + 492. Find the common denominator of 27*116\/s + -2 and -97\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 28 - (2 + -14 + 14) - 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 2 = 0. Let n be 8\/12*k\/6. Let g = 0 - -2. Which is the third biggest value? (a) g (b) -1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 323?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**5 - 387*v**4 + 2418*v**3 - 1638*v**2 - 2415*v + 2025 = 0.\nAnswer: -135, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*w**2 - 220*w**2 + 2*w - 4685*w**3 + 4684*w**3 + 3*w.\nAnswer: -w**3 - 397*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 440463 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*x**3 - 375*x**3 + 1118*x**3 - 350*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**6 - 59*s**5 + 19*s**3 - s**2 - 13*s + 137?\nAnswer: -360*s**3 - 3540*s**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916418 a multiple of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31770 is divided by 7834.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8468395*y**3 - 16*y**2 - 55576*y wrt y?\nAnswer: 50810370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 7*o**2 + 3*o. Let h be y(-5). Let m = h - -25. Let r = m + 321\/5. Which is the second biggest value? (a) r (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -179*t**2 + 1. Suppose -2*i + 16 = -y, 0 = 6*y - 5*y. Let a(h) = i*h - 30 + 30 - 9*h. Determine a(f(b)).\nAnswer: 179*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -33. Which is the closest to -2? (a) -2\/15 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g**2 - 3*g**2 + 3*g**2)*(g**2 + 0*g - 2*g - 3*g**2) - g**2 + g**2 - 2*g**4.\nAnswer: -18*g**4 - 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 3*t**2 + 3*t**2)*(-4*t - t - 2*t) + 14*t**3 + t**3 + 11*t**3.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 12:57 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddan when four letters picked without replacement from adndddnad.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/11696 and 113\/14620.\nAnswer: 58480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 9:15 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -835.19836 + 835. Let a = u - -0.2. What is a rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-198)\/12)\/11)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000098254 rounded to 7 decimal places?\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1831, -2052, -2273, -2494?\n\"Answer: -221*l - 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**6\/48 - 27*m**5\/160 - 25*m**4\/48 - 3*m**3\/4 - m**2\/2 - 49*m. Find r, given that w(r) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3002*o - 2. Let p = 13 + -10. Let d be h(p). Suppose -4*b = -t - 9008, -3*t + 4*t + d = 2*b. What is t rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(28) + -3.\nAnswer: -3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 39*m**4 - 3*m**2 + 3*m - 14. Let w(o) = 77*o**4 - 5*o**2 + 5*o - 27. Let p(k) = 5*t(k) - 3*w(k). Differentiate p(f) wrt f.\nAnswer: -144*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-39))\/((-102)\/51)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 0*h**2 + 1 - 2*h**2 + (1 - 2*h - 1)*(-5*h + 3*h + 3*h).\nAnswer: -4*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*a + 202*a + 292 + 5*a**2 - 69*a - 44*a wrt a?\nAnswer: 10*a + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-18)*3*0. Suppose 4*l + 250 = 58. Let m be (-4)\/(-18) - l\/27. Sort -1, f, m.\nAnswer: -1, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from wwwiwi.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlxl when four letters picked without replacement from {q: 1, x: 6, s: 3, t: 5, l: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-2)\/(-12)). Suppose -v*p = -p. Let z = 78 + -73. Solve p = -m + z - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5340561 + -1?\nAnswer: -5340562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 10.1. Let p = h - -2. What is the nearest to p in 3\/4, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 52. Let d be g(-10). Suppose d = 4*y, -3*s - 4*y - 1 = -22. Find the second derivative of -11*x**3 + 7*x**s - 23*x**3 + 3*x wrt x.\nAnswer: -162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(2*t**4 - 2*t**4 + t**4) + 54 + t**2 + 50 - 105 - 203*t**4.\nAnswer: -201*t**4 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 457*d**2 - 2746*d + 11. Calculate w(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7089959*j + 7089898*j - 3.\nAnswer: -61*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40293 is divided by 19632.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 plus -944688829651?\nAnswer: -944688829650.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3397.229 millennia to months.\nAnswer: 40766748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j + 1. Let o(q) = 28*q - 46*q + 8*q**2 + 11 + 27*q. Determine -2*o(t) + 18*u(t).\nAnswer: 2*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 2*d**7\/735 - d**6\/70 + d**5\/105 + d**4\/14 - 4*d**3\/21 + 2*d**2. Factor y(f).\nAnswer: 4*(f - 2)*(f - 1)**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 26, 6\/11, -96 in ascending order.\nAnswer: -96, 6\/11, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 j when four letters picked without replacement from ljjjttjltjllj?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 325, 1, -1\/6, 0.3, -0.2 in decreasing order.\nAnswer: 325, 1, 0.3, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1270, 2539, 3806, 5071, 6334?\nAnswer: 7595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b**5 + 3280*b**4 - 77260*b**3 + 525750*b**2 + 1465625*b + 156250 = 0. What is b?\nAnswer: -2, -1\/9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 674624.311 rounded to the nearest 1000?\nAnswer: 675000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 595*c**3*z - 638*c**3 wrt z.\nAnswer: 595*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8067, -8110, -8191, -8328, -8539, -8842, -9255?\nAnswer: -9796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2348669 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/6)\/(o*o**(-2\/3))*(o**(-1\/2)\/o)**(22\/5) assuming o is positive.\nAnswer: o**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i - 14. Let t(h) = -2*h + 5. Let o be t(0). Let q(x) = 4*x + 9. Determine o*p(v) + 8*q(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 81667278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/120 + 13*v**4\/48 - 7*v**3\/6 - 16*v**2 + 10. Factor l(a).\nAnswer: (a - 1)*(a + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (66\/(-4))\/((-81)\/8964)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5956507, 11912983, 17869459, 23825935, 29782411?\n\"Answer: 5956476*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 3123210.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m + 44 + 37 - 249 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37\/156 + -2\/13. Let v(k) be the second derivative of 0*k**2 - k + 0 - 1\/3*k**3 - y*k**4. Find the second derivative of v(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 3 + 72\/8 + -7. Solve m + 2 = d + s*m, 6 = 3*d - 5*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1480 and 240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -663.008 - -660. Let m = 3 + d. Let q = m + 0.0079961. Round q to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + y + 10 = -1, -5*y = -3*w + 31. What is the fourth smallest value in -18, -4, w, -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z\/z**(-5\/6)*z)*z\/(z*((z*z**(1\/6))\/z)\/z)*(z*z\/z**(2\/15))**(-1\/16) assuming z is positive.\nAnswer: z**(-127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 - 7*w - 4. Let x be t(6). Let l = x + -68. Suppose -14 = -o + 2*o + 5*f, 5*f = -5*o - l. What is the closest to 0.1 in o, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 - -142. Let i(k) = -r*k + k - 3 + 2*k. Give i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-10)*k**6\/((k\/(k*k**(-4)\/k))\/k) assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 17 + -6 + (5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -232\/11 and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -2*y**3\/3 - y**2\/2 + 295*y. Determine t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4751\/16 - 297. Which is the nearest to -0.1? (a) r (b) 2\/29 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321 + 320.6. Which is the closest to -4? (a) -4 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c**3 + 0*c**6 + 0*c**7 + 0*c**4 + 1\/12*c**5 + 0*c - 5*c**2 - 1\/336*c**8 + 0. Find the third derivative of i(a) wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -4. Let g = -6 - u. What is the units digit of 2\/(-8) - (-51)\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -76, -164, -294, -472, -704, -996, -1354?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2. Let w(i) = -284*i + 1. Calculate w(h(k)).\nAnswer: 1420*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1*(10\/1)\/(-2). Suppose 25 + 435 = -n*a. Let i = -43 - a. Solve i*c + 3 = d + 10, -5*d = 4*c - 41 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424821080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000646765 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -225791 from -2289.2061.\nAnswer: 223501.7939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 8, 0.3, 188, 0.04, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147177*r**3 - 73564*r**3 - 73604*r**3 + 3*r**2 - 3*r**2.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3110*y - 5545 = 16225 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 86 = 2*z + 2*x + 120, 4*z - 68 = -3*x for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 9*w + 23. What is u(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-17 - -10)*2*(5 + -7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-15) - 7586\/(-5). Suppose -3*j + t = j + l, -380 = -j - l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**4 + 2573*n + 5361 wrt n.\nAnswer: -4*n**3 + 2573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from mfqqmllty.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.063 and -0.258819.\nAnswer: -0.195819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.4 (c) 0.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(78)*-1 + sqrt(78) - sqrt(78) - sqrt(78)))\/(sqrt(150) + -3*sqrt(150)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/17, -5, 2, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*-2*sqrt(132))\/((sqrt(120)*-1)\/sqrt(10)) + 0.\nAnswer: -12*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1920 = 5*d - t, t - 1920 = -5*d + 5*t. Is d a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81765 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {e: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2448, 0.1, 1\/5, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.15579 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 7*p**4\/8 + 2*p**3\/3 - 3907*p**2. Determine n(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 2)*(-z - z + 4*z + (-z - 2*z + z)*(-4 - 2 + 5) + 70 - 8*z - 70) as p + x*z and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from {r: 2, z: 3, o: 1, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 265. Let v(y) = 7728. Let f(u) = -175*o(u) + 6*v(u). Let r(j) = -j - 15. Give 7*f(w) - 3*r(w).\nAnswer: 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/52382303 + 540952041557\/39915314886. Let r be (-660)\/(-3556) - 6\/(-14). Let h = u + r. Find the common denominator of h and 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134433514443 - 4?\nAnswer: 134433514435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.97926 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.53 + -26.47. Let k = 26.964 + m. Let j = k - 0.004. Which is the closest to 0? (a) 4\/7 (b) j (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 814?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 26*k + 24. What is the units digit of h(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.1 - -46.5. Round y to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3537670 to the nearest ten thousand.\nAnswer: 3540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -10, -33, -92, -199?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o - 3*k, 5*o - k + 4*k = 24. Let q(j) = -o*j + 0*j + 0 - 1 + 0*j**3 - 8*j**2 - j**3. Suppose -2*t + 3*t - 10 = a, 13 = -4*a - 5*t. Determine q(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 19 + 6 + -18 + -7 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -38\/9, -3.5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (1 - -9)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = l + 30, 4*z + 34 = 2561*l - 2562*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6283*p**3 - p**2 + 78*p + 157. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -353 - -278. Let m be (4\/(-30))\/((-60)\/p). What is the closest to m in 14, 5, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 - 31. Let k = t - 115. Let o be (1\/12)\/(2\/6). What is the closest to 2\/5 in 0.2, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -f, r - 2*r = -f - 3. Let y = 147 + -1469\/10. Which is the fourth biggest value? (a) f (b) 5\/4 (c) y (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-266)\/1995)*(-3)\/20.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/304974 and 7\/15.\nAnswer: 1524870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.15 minus 0.22?\nAnswer: 16.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (170 - 148).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 6.32. Let c = -2.59 + n. Let h = 1.2807 + c. Round h to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (6 + (10 - 7))) + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -0.02?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 5*s**2 - 2. Suppose -r + 0*l - 19 = -2*l, -r = l + 19. Let x = -24 - r. Determine g(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*l**4*w + 8*a*l**3 - 2*a*w + 15*l**4*w + 4*l**2 - 9*l - w wrt l.\nAnswer: 48*a*l*w + 48*a + 360*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 9, 0.\nAnswer: 0, 9, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 613058414 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -127\nAnswer: -51\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 1 + 17. Suppose -6*r + i*r = 120. Calculate the highest common factor of 16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 95, 33, -55, -169?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + x)*(4 + 1 + 4) + 3*x - x + 4*x.\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 9*j**3\/5 - 116994*j**2 + 974931*j\/5 - 77994 = 0.\nAnswer: 2\/3, 1, 64995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 - 2*g**4 + 0*g**3 + (3*g**4 - g**4 + 0*g**4)*(-1 + 5 + 0) as y*g**2 + m*g**3 + z + j*g**4 + q*g and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.423*-2\nAnswer: -0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4320.815 grams?\nAnswer: 4320815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/20 - 7*v**4\/12 + 4*v**3\/3 + 102*v. Suppose b(i) = 0. What is i?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*n - j, 24*n + 2*j = 26*n - 34. What is the closest to 0.3 in -1, n, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3794 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b + 57 = 0. What is the smallest common multiple of 25 + 4288\/(8 - -24) and b?\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 47*m**2 + 71*m - 1361. Calculate w(48).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 - 5*f - 2. Let g be k(-3). Suppose 33*p - 26*p - 1365 = 0. Suppose 6*m - p = -7*m. Solve -g*r - m = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*m + 95*m - 194*m - 991.\nAnswer: -m - 991","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 2. Let o be t(-4). Suppose -119 - 289 = -6*p. Suppose 0 = -2*q + o*q - p. Solve z + 3*z + 15 = -3*r, q = -2*r - 5*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125621634 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -660.309 less than -80411?\nAnswer: -79750.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2288 and -67\/72.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:52 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96.27 or -8723?\nAnswer: 96.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 10 + 4. Sort s, -3, 4, -7 in decreasing order.\nAnswer: 4, s, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62624*f*v*w - f*v + 149*f + 2*v*w + 190 with respect to w.\nAnswer: 62624*f*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*((sqrt(252) + (sqrt(252) + 2 + sqrt(252) - sqrt(252)))*-2*-4 + 6*(0 + sqrt(252))*-6))**2.\nAnswer: -13440*sqrt(7) + 403984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 997507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 55 - b - 2*b + 6*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllklllkllkllkk. Give prob of picking 1 l and 3 k.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 11.8. Let i = d + 0.2. Let x = -1062.8 - -1063.2. Put -1, x, i, 2 in increasing order.\nAnswer: -1, x, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rurgvuvo. What is prob of picking 2 u and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 - 11*z - 36. Let t(h) = h**2 + 5*h + 17. Give 5*t(p) + 2*u(p).\nAnswer: -p**2 + 3*p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + h = 3*j + 923, 3*j + 5*h = -893. Which is bigger: j or -307?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34*(-243)\/15147)\/((-1)\/3)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1025 and 1?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.317663m to kilometers.\nAnswer: 0.002317663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 1144?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + (2 + -11)\/3. Let h = i + 14. Suppose -h*r = -5*r + 12. What is the remainder when 35 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - -341331?\nAnswer: 341310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-34 + 26 + -17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237 + -121. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**2 + 20*t = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 355344 (base 6) in base 13?\nAnswer: 11176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09173 + 0.09173. Which is the second smallest value? (a) -2\/7 (b) -11\/2 (c) g (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*u + 46 = 0, u - 6 = t + 4. Let h = t - -10. Suppose -h*x + 0 = -84. 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: Let g be -2 + -1 - -1*9. Let k be (3 - g - 420001) + 4. What is k rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66 or 52913\/808?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:25 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(224) - -3*sqrt(224) - sqrt(224) - sqrt(224) - sqrt(224)))\/(6*sqrt(24)\/sqrt(12)) + 4)**2.\nAnswer: 64*sqrt(7)\/3 + 592\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1669 and -4462 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = 0, 3*x - 88 = -3*y + 47. Let n be y\/(-740)*(2 + -1)\/5. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*s**2 + 27*s**2 - 11*s**2 + 755*s**2 - 203*s**2 + 56*s**2.\nAnswer: 750*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -900*s**4 + 1619 wrt s.\nAnswer: -3600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48872128, 97744264, 146616402, 195488542, 244360684, 293232828?\nAnswer: 342104974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1934199 or -1934198?\nAnswer: -1934198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439741 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5 - 2*i**4 + 114785*i**3 + 322970*i wrt i?\nAnswer: 40*i**3 - 24*i**2 + 688710*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32360358 - -0.2?\nAnswer: 32360358.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 177*r - 175*r - 12)*(-3*r + r - 2*r + 20 - 8*r - 20 + (-3*r + r + 4*r)*(-2 + 2 + 2)).\nAnswer: -16*r**2 + 112*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -20 - l + 38 - 15. Let d(t) = 46 + 41 - 86. Give -3*d(u) + y(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 7*t - 79 = 25*o, -2*o = 2*t + 5 - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b. Let s be u(1). Suppose 5*d + 5*t - s = 0, d = 5*t + 1 + 26. Suppose d - 39 = -8*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2*q)*(0 + 2 + 0) - q + q + 2*q + (-4*q + 0*q + 3*q)*(-1 + 0 + 2) - 3*q + q + 4*q)*(2*q - q + 2*q) + (3*q + 3*q - q)*(-6 - 2*q + 6).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1060\/7 (b) 3 (c) -2\/7 (d) 3\/7 (e) -1\/259 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Let w(j) = -j**2 - 8*j. Let o be w(-8). Suppose o*k + 12 = 2*k. Solve g*q = -q - 16, -q = 2*t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -9 - -9 - 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2217 + -99749\/45. Let k(f) be the first derivative of -25\/36*f**4 - 9 - 2\/27*f**6 + h*f**5 + 1\/9*f + 19\/27*f**3 - 7\/18*f**2. Factor k(u).\nAnswer: -(u - 1)**3*(2*u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146727.1199944 + 146727. Let i = p - -0.12. What is i rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from xoxoxoxmooo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 35*k**2 + 180.\nAnswer: 5*(k - 6)*(k - 3)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4138*g**2 - 2*g - 2. Let k be p(2). Let i = -3268 - -5499. Suppose -7*j - i + k = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 393*h**2 - 402*h + 792.\nAnswer: 3*(h - 132)*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/4))**(-37)\/(m\/(m*m**(-2\/7))*m**(3\/7))*(m**(-1))**(-2\/73)*(m*m**0)**(-39\/2) assuming m is positive.\nAnswer: m**(-97983\/2044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 94, 141, 188, 235, 282?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753.6 rounded to the nearest ten?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 5. Let u(l) = 5*l**2 + 2*l - 1. Let r be u(1). Let y(j) = 521 + 514 - 1555 + 524. Give r*y(n) + 5*z(n).\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97 - (-71 - -28) - -59) + (-1 - -1) + -14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*j + 25 = 0, 60 = -2*r - j + 50. Let f(c) = c**2 + 8*c + 3. Determine f(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.067 - -227.933. Let h = -227.94 + l. Which is the second smallest value? (a) 5 (b) -2\/5 (c) -5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r + 6. Solve r = -3*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 94712.\nAnswer: -1\/23678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 4 + 4)*(-4*t**3 + 6*t**3 - 4*t**3) - t**5 + 0*t**2 + 0*t**2 + (-3*t - 3*t**2 + 3*t)*(-t**3 - t**3 + t**3).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3026786 (base 9) to base 10.\nAnswer: -1612464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eene when four letters picked without replacement from {n: 2, e: 10}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9882 and 53\/6.\nAnswer: 9882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 32 = -n + 3*n, -x - n = 7. Let k(t) = -6*t**2 + 3. Let a(b) = -b**2 + 1. Let g(p) = x*k(p) + 18*a(p). Let z(h) = 2*h. What is g(z(y))?\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9541503?\nAnswer: 3, 353389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.034 * 1.075979.\nAnswer: 1.112562286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -73465*d - 3*d**3 + 73465*d - 30 + 2*d**2 as o + m*d**3 + a*d**2 + i*d and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 71.57051 years?\nAnswer: 0.7157051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354*b + 3 - 50*b - 5 + 1 + 1413*b to the form m*b + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.1 + -8. Let y be (-416)\/507*9\/(-60). What is the third biggest value in 5\/4, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43354252?\nAnswer: 2, 79, 137197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8ab2 (base 14) to base 8\nAnswer: -57004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26478, 106590, 240098, 426996, 667278, 960938, 1307970?\n\"Answer: -s**3 + 26704*s**2 + 7*s - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -23, 183, 655, 1483, 2757, 4567, 7003?\nAnswer: 10155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgg when three letters picked without replacement from kgsskkksssskksskkkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:20 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -28.42?\nAnswer: -2.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 2080?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -b, 11*x + 6*b - 32 = 13*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*6\/(1 - 11\/(-4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -211, -238, -305, -412?\n\"Answer: -20*r**2 + 33*r - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 13 = 2*t + 3*t, 0 = -t - w - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 + 14 = 0. Let r(t) = -2*t - 21. What is the remainder when o is divided by r(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*p - 195*p + 1976900. What are the prime factors of p?\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y. Let o(z) = 5*z**2 - 16. Let x(h) = 2*h**2 - 6. Let d(b) = -3*o(b) + 8*x(b). Give d(j(m)).\nAnswer: 121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v - 40*v = 44 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -947, -1484, -2025, -2570, -3119, -3672?\nAnswer: -4229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 322565 + 5?\nAnswer: 322603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 4. Let f(b) = 6*b - 7. Let t(p) = 4*f(p) - 7*n(p). Let c(w) = 4*w**2 + 80*w - 80*w. Calculate c(t(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -36 + 2 - (-2 + (10 - (15 - 5))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -3 (c) 1 (d) -0.266\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 5. What is the second smallest value in 4, k, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/8)\/(0 - (-1)\/(-6)). What is the third derivative of 239618*b**3 - o*b**4 - 72*b**2 - 239618*b**3 wrt b?\nAnswer: -504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -36 + 16 + 33\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(0 - (-16)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5428 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*2 + 4)*5 + sqrt(304) + 2*sqrt(304) + 4 + sqrt(304) + 0 + sqrt(304)*1)**2.\nAnswer: 2880*sqrt(19) + 68976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (145\/7540)\/(2\/(-91))\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) - sqrt(768)*1)\/(-5*(sqrt(6) + sqrt(54))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1736 by 2.\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34097 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-13 + 6 + -15 + 26)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5550 and -812411.\nAnswer: -817961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -17*o**3\/3 - o**2 + 6*o + 85. Let k(c) be the second derivative of c**4\/4 - 2*c. What is y(k(s))?\nAnswer: -102*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/((-14)\/(-4606))*(-116)\/696\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6408 and 2888584.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.06\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.01 + 0.01. Let o = q + 8. Which is smaller: -1\/3 or o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4704 + -4703.857. Put 4, 4\/5, 10\/7, s in descending order.\nAnswer: 4, 10\/7, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.5, 3\/2, -6127, 47, 2\/11 in descending order.\nAnswer: 47, 3\/2, 1, 2\/11, -1.5, -6127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 61. Let o(t) = 4*t**2 + 5*t - 7. What is the remainder when o(u) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 1, a: 5, t: 3, z: 3, i: 3, h: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666069 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187004 is divided by 62328?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5568, 5416, 5298, 5232, 5236?\nAnswer: 5328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-3 + 203)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -210*p**2 - 2060*p. Let b(k) = 56*k. Calculate c(b(f)).\nAnswer: -658560*f**2 - 115360*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7529 + -7529. Solve 0*h = 5*h + 4*a + 30, r = h - 4*a - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/(o**(-1)\/o))\/o)\/o)**(-39)*(o**(-2\/7)\/o)\/(o**(1\/4)*o))**0)**(18\/7) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -8 - 15) + -43 + (-5 - 2) + -10.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4273266663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 = -0*k. Let b(n) = n**3 + 5*n**2 + 2*n - 1. Calculate the remainder when 32 is divided by b(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from pcfpggnf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*f*v - 114459*f - 13254*v wrt v?\nAnswer: -41*f - 13254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozzzjjj. What is prob of sequence zzoz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372243450 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 1313 - 2092. Suppose p = 59*r - 54*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.78 + 1.22. Let o = 2 - 7.5. Let s = o - -0.5. What is the third smallest value in 2\/9, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.3 + -1.3. Let g = 533 - 533. What is the fourth biggest value in b, g, 0.1, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6*(-6)\/(-4). Let d = -465 + 460. What is the closest to -3\/7 in 0.2, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 94804\/1903 + 0 + (-4)\/(-22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 > -11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1 (c) -0.6 (d) 0 (e) -5 (f) -84418\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -0.04 (b) 88.3 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 32*d. Let l be i(32). Suppose t - 37 + 24 = l. Suppose 150 = 2*x - 28. What is the remainder when x is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040247 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)*-3)\/sqrt(12) - sqrt(55))\/(sqrt(605) + sqrt(605) + sqrt(605)*-1).\nAnswer: -4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6569 and 4.8?\nAnswer: 5.4569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, 47984, -0.4, 2\/17, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*w + 298*w - 248 = -x, -5 = -5*w. What is the remainder when x is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41566? (a) -0.5 (b) 9 (c) 1.8 (d) -5 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzzuupzzaapppppzzzpa. What is prob of sequence ap?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 126 - 118 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okaa when four letters picked without replacement from {k: 1, f: 2, a: 2, y: 3, o: 4}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.7 + -30. Let r = -1 - -1. What is the second biggest value in g, r, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/9)\/(-1))\/((-115)\/5865)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(12\/7))\/(((-1007)\/608)\/53)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by (-3 - -5)*15\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00425451 rounded to five decimal places?\nAnswer: -0.00425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 61 = -7*u + 3*u, k = 3*u - 41. Calculate the remainder when 25 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981646.\nAnswer: 2, 31, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 14*s**3 - 22*s**3 + 2*s as t*s**3 + o*s + c*s**2 + h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7520 - 7301. Calculate the remainder when s is divided by 212.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -97*z + 100*z. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 36 = -0*j. Suppose -2*t + j = 2*g, -t = -5*g + 4*t + 45. Let c be 0 + g\/(9\/(-13900)). What is c rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6444250276.\nAnswer: 2, 41, 47, 836047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(187)\/sqrt(11) - sqrt(17))**2 + 0 - ((5 + sqrt(17))*-2 - sqrt(17)).\nAnswer: 10 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 4263?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*f + 14 = 0, -2*t - 3*t - 4*f + 21 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -60, -44, 0, 84?\n\"Answer: 2*t**3 - 4*t**2 - 2*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84403 (base 12) in base 6?\nAnswer: 3414403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347819844 a multiple of 3086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111202122212 - -10012?\nAnswer: -111202112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1546688348 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2781*i**3 - 66741*i**2 + 175131*i + 189.\nAnswer: 3*(i - 21)*(i - 3)*(927*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10 - 4\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**4 + 29862*l**3 + 53784*l**2.\nAnswer: -2*l**2*(l - 2988)*(5*l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + 0.3. Let s = 15 - 10. Let f = s + -7. Which is the closest to l? (a) f (b) -1\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*4\/(-40)*6. Suppose n*k - 1724 = 6298. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 677111, 677108, 677105, 677102, 677099, 677096?\n\"Answer: -3*h + 677114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/(-2))\/(110\/(-800)) and 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o + 7. Suppose 2*b = -4 - 8. Let d be v(b). Let z = 75 + d. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 20. Let l(s) = 6*s + 60. Calculate 2*l(n) + 7*p(n).\nAnswer: -2*n - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1144 by -11.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 6:08 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55192237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/3*p**3 - 1\/3*p**4 + 0*p - p**2 + 1\/3*p**5 + 0 = 0. Calculate p.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/688 and 109\/2408?\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 4, 6, 23, 12, -9 in descending order.\nAnswer: 23, 12, 6, 4, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 710 + 639. Does k = 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139.331 * -60.\nAnswer: -8359.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1924 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 58921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (6 - -22 - -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -150, -99, -44, 15, 78, 145?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1476251, 1476263, 1476275, 1476287, 1476299, 1476311?\n\"Answer: 12*f + 1476239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -122243340?\nAnswer: 122243335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3690?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 265\/412 - -11\/103. What is the nearest to u in -0.01, 0.3, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z**3 + 7*z**2 - 19*z - 3. Let k(d) = -7*d**3 + 5*d**2 - 13*d - 2. Suppose -3*y - 17 = -32. Let o be (28\/12)\/(y\/15). Give o*k(f) - 5*j(f).\nAnswer: f**3 + 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*q - 1 - 6469*q**2 + 0 - 4088*q**2.\nAnswer: -10557*q**2 - 49*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23479\/75294 - 82\/423. Is k less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 943117640 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.9512 + 30.7. Let q = -0.853 - -1.103. Let l = q + c. Round l to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 488381?\nAnswer: -488375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145424 + 61393 + 6879 = 371*h. Solve 8*k = -h + 536 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -216 - -101. Let c = -15 + l. Let x = 0 - c. What are the prime factors of x?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(3\/5)*j*j*j\/j**(-6)*j**(-2)*j*(j**(1\/4)*j*j)\/j)\/(((j**(-2)*j)\/(j\/j**5))\/(j*j**1\/j)**44) assuming j is positive.\nAnswer: j**(1057\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f**3 - 13*f**3 - 20*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 248 - 120 - 128.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 + 5*o - 2. What is l(3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 70030*g - 2256. Let n(q) = 279*q - 9. Let u(x) = -3*a(x) + 752*n(x). Let d(p) = 2*p. Determine d(u(b)).\nAnswer: -564*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65.1801077497 - 0.006.\nAnswer: -65.1861077497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 8, t: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902 = -2*d - 910, 2*a = -2*d + 76 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2. Let d(s) = -21*s + 6. Let p be d(-6). Let t(v) = p - 132 + 7*v. Calculate t(k(h)).\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -258.00424 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -320 - -353. Suppose 0 = -p*f - 16*f + 27146. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (0 + sqrt(684) + -2) - sqrt(684))**2 - (2 + sqrt(684)*3).\nAnswer: -42*sqrt(19) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 - 9*d**2\/2 + 54.\nAnswer: -(d - 3)*(d + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29928 and 52890.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/6 of a minute in seconds?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/45 and 17\/243?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3964.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 8. Let q be b(-10). Suppose -o = o + q. Let y = o - -12. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1498 * -28.\nAnswer: 41944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-9))**(1\/20) assuming y is positive.\nAnswer: y**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/7*325\/(-125)*7)\/((-194)\/(-1455)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 4. Let y(w) = w + 1. Let k(h) = -2*a(h) + 2*y(h). Let o be k(-5). Let b = 2 - 3. Put b, 0, o in increasing order.\nAnswer: b, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1609\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(48)\/sqrt(4))\/sqrt(2))\/(sqrt(12)\/(sqrt(6) + sqrt(6)*2)) + (3*(4 + sqrt(3) + 2*(sqrt(9)\/sqrt(3) + sqrt(3))))**2).\nAnswer: 1089*sqrt(3) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 3}. What is prob of picking 1 r and 1 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/1)\/((-12)\/4). Suppose -4*x = -0*x - 212. Let l = -33 + x. Solve o = 5*m + l, 0*z - 5*m - 24 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12180 divided by -3045\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 = -4*y. Put -5, 3, y, 1 in increasing order.\nAnswer: -5, 1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23041684.096 + 0.3.\nAnswer: 23041684.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(1*sqrt(6)))\/((sqrt(2) - sqrt(2)*-1)*5) - (3 + (sqrt(8))**2 + -5 + (sqrt(8)\/sqrt(4))**2).\nAnswer: -8 + sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 411?\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 15*t**2 - 236459*t - 8 + t**3 + 236472*t - 5. Determine y(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-13) - (-18)\/(-117). Solve p = w + 1 - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -22. Let x = -7 + a. Calculate the remainder when 12 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + ((-3)\/(-3) - 2). Suppose 3*d - u = 1. Suppose d = 5*t - 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17797 is divided by 57.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -182039, -364073, -546107?\n\"Answer: -182034*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 - 26*v + 80 = 0. Calculate v.\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 37935 + 104255 = 0. Let t = -1365067\/96 + d. Calculate the common denominator of t and -23\/14.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) 0.02 (c) -6.9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001075 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/14047, -1, 1 in descending order.\nAnswer: 1, 2\/14047, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 11)*(-84)\/(-24). Let d be (-36)\/(-2 + 5 - 2). Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -82 + 34878?\nAnswer: 347e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 82*z - 5*z - 3.\nAnswer: 77*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Suppose 0*l = 4*l - 5*k - 34, p = -4*l + 2*k + 40. Suppose -2*s + s = -l. Calculate the remainder when 41 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*i**4 + 48*i**3 + 146*i**2 + 2*i - 900659.\nAnswer: -276*i**2 + 288*i + 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235996589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(45))**2 + sqrt(45) + -2*(sqrt(25)\/sqrt(5))**2)*1 - (sqrt(360)\/(sqrt(16)\/sqrt(2)))\/(2*sqrt(729)).\nAnswer: 53*sqrt(5)\/18 + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtttttttdtttttd. What is prob of picking 1 d and 1 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**5*k*(k*k**(1\/3))\/k*k*k**(-2\/13)*k**(4\/3)*k\/(k**8\/k)*k**(-8)*(k**(-2))**(1\/32) assuming k is positive.\nAnswer: k**(-9079\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26219 divided by -26219\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 10*n - 21. Determine q(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 - -0.01. Let o = f + -0.2. Let y be 32\/14 + (-76)\/266. What is the nearest to 1\/3 in y, -2\/9, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-11)\/(99\/(-1161)))\/(3\/52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 880.8 + -881. Let w = -22 + 21.5. Let x = 5 + -4.6. What is the nearest to f in x, 2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyrrrrrrrrrrr. What is prob of sequence yr?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*g - 48531, -225*g - 2*j + 16174 = -224*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2488*z**2 - 107*z**4 + 2488*z**2 + (-z**3 + z**4 + z**3)*(0 - 5 + 3).\nAnswer: -109*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1\/2*q**2 - 3\/2*q - 5 = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 10. Let x be l(5). What are the prime factors of (2 - x) + (-6)\/2?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202 + 3028\/15. Suppose 3*p = 4*p - 3*l - 675, 5*p + 4*l = 3470. Let f be p\/945 + (-4)\/14. Which is the smallest value? (a) 4 (b) f (c) s (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*g - 220*g - 49134 = 0. What are the prime factors of g?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589\/62 + (-6)\/(-4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3\/5 - 317578*a**2\/5 + 25214264096*a\/5 - 50427257888\/5 = 0.\nAnswer: 2, 158788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l + 4*l - 19*l + (32 - 24 + 3*l - 2*l)*(-3 + 1 - 5))*(-l + 0*l + 0*l).\nAnswer: 30*l**2 + 56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 12:53 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 s when four letters picked without replacement from ssissssssiis.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2189 and 9999209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*-1 - (1 - 2). Let j be (-74)\/8 + o\/8. Let k = -3 - j. 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 5 + (-7 - 4) - -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s + 30 - 491 = 499 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -266, -394, -522, -650?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, 15\/182 in decreasing order.\nAnswer: 15\/182, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32b2 - 4e?\nAnswer: 3264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -32. Suppose 4*a + 26 = 2*t, a + l*a + 22 = -t. Let d = -3.22 - -0.22. What is the smallest value in d, 2\/5, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - o + 4 - 3*o**4 - 5 + 3*o to r*o**2 + v*o**4 + p*o**3 + g*o + t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 86, 123, 124, 65, -78?\n\"Answer: -4*f**3 + 18*f**2 + 23*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*l + 1201 + 437 = 0, 3*o + 3*l - 981 = 0. List the prime factors of o.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72226 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5921, -1, 1166, 4, 2.\nAnswer: -5921, -1, 2, 4, 1166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 - u**2 + 2*u**2)*(2 - 16*u + 24*u - 25*u) as z*u + l + v*u**3 + i*u**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3187?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b2 (base 12) in base 11?\nAnswer: -3027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Let z be -1*(6\/(-2) + s). Find the second derivative of -3*j - z*j - j**5 - 2*j**5 wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 36. Determine z(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 - 11*r. Let a(i) = -i. Let p(k) = -4*a(k) + o(k). Let d be p(7). Suppose 3*n = -2*c + d, -4*n = -2*c + 254 + 12. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b + 4*h, 6*b + 12*h - 66 = 10*h. Solve 0 = -5*g + 4*k - 10*k + b, -2*g + 2*k = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2 (b) 0.1 (c) -0.3 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 1, v: 4, h: 1}. What is prob of sequence vp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 20*o**2 + 11*o - 9*o.\nAnswer: 20*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tti when three letters picked without replacement from rdttitrrttr.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 403 + 0?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4121235558 to the nearest integer?\nAnswer: 64197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*a*m**3 + 3219*a*m**2*z - 3*a*m + 59827*m**3*z - 3*m**2*z + 6*m**2 wrt m.\nAnswer: -492*a + 358962*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.76 - 0.86. Let t = 812\/2055 - -2\/411. Which is the nearest to 1? (a) t (b) -6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 2*w**3 + 0*w**3 - 2*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 72*u**2 + 181*u + 199. Is x(-28) a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Let m(v) = 3*v**3 - v**2 + 1. Calculate the remainder when s is divided by m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 180778247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 6*a**2 + 2 - 5*a**2 - 4*a**4 - 2*a**2 - 2*a**3 as f*a**2 + v + c*a**3 + s*a + o*a**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p + 15. Let d be (1 + 5)*(-70)\/(-21). Let w = d - p. Calculate the remainder when 43 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 + 6*z + 6. Let n(r) = -7*r**2 + 6*r + 7. Let g(v) = 5*n(v) - 6*s(v). What is the tens digit of g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2436*j - 11. Is k(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eecbebeeeerreebefce. What is prob of picking 1 e and 1 b?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(28) + 3)**2*3.\nAnswer: 48*sqrt(7) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -11.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o + 43*o + 38*o + 35*o - 70*o.\nAnswer: 75*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:52 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 10908.\nAnswer: 54540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 0.35. Let m = y + 10.34. Let x = m + -10.1. Which is smaller: x or -0.04?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 12\/328339, 5, -0.2 in ascending order.\nAnswer: -0.2, -0.1, 12\/328339, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 - 58.5. Let b = -56.000000704 - s. Round b to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50471819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)*c\/c**(-3\/8)*(c*c**(-2\/39))\/((c\/(c*(c*c*c**(1\/2)*c)\/c))\/c))**36)**(6\/5) assuming c is positive.\nAnswer: c**(-8919\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 33 + -87 - -18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 131 = -4*t + 2*y, 0 = -t + 2*y + 30. Solve 1 - t = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 31 - 25)*(-1 + 1 + 2*a**2).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 4, a: 7, z: 1, g: 4}. What is prob of picking 2 m?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 4*x + 3. Let r be (-12)\/5 - 3\/5. Let w be q(r). Suppose -5*d + 5*i + 85 = w, d + 4*i + 0 = 32. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 13*q**2 - 3*q - 45. Let t be n(-13). Let k be (54\/36)\/(3\/t). Let x(c) = -2*c**3 - 4*c**2 - 5*c - 2. Calculate x(k).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-9 - (9 - 19) - 0) - 22 - -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**16*(a*a**(2\/5))**(-20) assuming a is positive.\nAnswer: a**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42392851, 84785709, 127178569, 169571431, 211964295, 254357161, 296750029?\nAnswer: 339142899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 9) to base 15\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/3 - 8*l**2 - 13*l. Let i be y(-10). List the prime factors of (1 + i\/(-6))\/((-8)\/(-2808)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inni when four letters picked without replacement from qiinqiniqqqq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - 71. Let v(q) = 2*q**2 - 9*q + 27. Let p be v(d). Suppose 0 = r - 4*b - p, -5*r - 18 = -b - 509. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 29, -28, -83, 0.1, 5?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -872.3 - -1108. Let f = 143 - i. Let p = -93 - f. Sort -2, 7, p.\nAnswer: -2, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 49 = -106 + 35 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i + 15. Let q be b(5). Let h(s) = 2*s**2 + 10*s. What is the remainder when (q\/(-21))\/(2\/(-66)) is divided by h(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 92662.71cm?\nAnswer: 926627100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6477864098 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/27)\/(198\/165*30\/(-162)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = -2*x - 13*g - 57 - 34 + 6, -4*g + 111 = 7*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 35 = -21. Let i be 3\/((15\/j)\/5). Does 8 divide i\/63 + (-870)\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2 - 3*o + o + 3*o + 1. Let h be r(2). Which is the closest to -0.1? (a) 0.2 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137.64 + -3.784\nAnswer: 133.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.5 (c) 30834 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 319044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 + 3*n + 4. Let q(c) = -3*c - 3*c**2 + 2*c**2 + c - 5*c**3 - 3 + 2. Let o be q(-1). Calculate l(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 5*x - 2. Let r be g(3). Suppose r*k = -169 + 545. Suppose -4*u - k = -3*s, 2*s - 3*s + 73 = -3*u. What is u rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, -2, 28, -5274 in increasing order.\nAnswer: -5274, -8, -2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u + 33. Let m be a(-11). Let o = 50 - m. What is the greatest common divisor of 180 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.3, 0.3, -3 in increasing order.\nAnswer: -3, 0, 0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**9\/3024 + n**5\/60 + 7*n**3\/6 + 6*n. Let z(m) be the second derivative of c(m). Find the second derivative of z(p) wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 16*s + 60. Let c be a(7). Calculate the highest common factor of 384 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) 67 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 - 5*l**2 + 9*l - 18. Determine a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -35*r**2 + 3*r - 1. Calculate x(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.7156838 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - 2.5. Let x = 0.5 - 0.3. Let n = x + -0.1. Which is the biggest value? (a) -2 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30256 + 43?\nAnswer: -30213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.325 - -0.425. Let f = u - 2.1. Let p = 37.99999906 + f. Round p to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 2*b - 1. Let i be l(1). Factor -3*o + 0*o**3 + 3*o - 2*o**i + 2*o**5 - 2*o**3 + 2*o**2.\nAnswer: 2*o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 17. Let p be x(10). Let n(v) = 32*v - 9. Is n(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19780 at least as big as -19677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -7*s**2 - 3\/4*s**4 - 6*s - 4\/3*s**3 - 2. Let j(a) = -a**3 - a**2 - 5*a - 2. Let u(m) = -3*d(m) + 8*j(m). What is u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790004.\nAnswer: 2, 3, 43, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 14)\/(2\/1). Solve -m*k + k = 3*g + 22, 0 = -k - 4*g - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -690567*i**4 + 92*i**2 - 962?\nAnswer: -16573608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 + 31122?\nAnswer: 30665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 8. Suppose 12*g + 24 = 13*g. Suppose 4*a + g = -4. Determine b(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = -5*y, -5*y - 3*d + d + 13 = 0. Suppose 4*p + 21 = 61. Calculate the smallest common multiple of y and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = m + 2*m. Suppose 3*d - 49 + 8 = 4*j, 4*d = j + m. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Suppose 2*r - 5*p = -40, -2*p + 0*p = -3*r - 49. Let a be r\/n - (-3)\/(-6). Let v(w) = -w - 3. What is v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 4.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 562*m**3 - 594*m**3 + 7914 - 8016 - m to j*m**2 + r + u*m**3 + c*m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) - (sqrt(13) + (sqrt(65)\/sqrt(5))**2*-3)).\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -79*t - 38. What are the prime factors of p(-4)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001210 + -20122?\nAnswer: -22022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-30))**(-2\/9) assuming b is positive.\nAnswer: b**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 39, -15\/14, -5?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 4*t + 0*t)*(-3 + 3 + t) + 4*t**2 - t**2 - 4*t**2 + (4*t + 6*t**2 - 4*t)*(1 - 5 + 1).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 15*s**2 + 16*s.\nAnswer: -s*(s - 1)*(s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 2*v**3\/3 - 7*v**2\/2 - 5*v - 118. Let a(z) = -3*z**2 + 10*z + 7. Determine -5*a(u) - 7*g(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5043296618 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6) + 8 - 5 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -0.5, -0.036, -1508, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Let g(o) = o**3 - 4*o**2 - 4*o - 3. Let u be g(a). Suppose u*c - 69 = -c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333992 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: Is 21373037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/601580 and 101\/17188.\nAnswer: 601580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1532 + 1525.7. Which is bigger: -2\/23 or b?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367734403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 4:23 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpudpundndd. What is prob of picking 1 p and 1 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13722 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2673\/(-216))\/33)\/(33\/(-5544))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g + 2. Let v(i) = -23*i**2 - 55*i + 22. Let l(o) = -11*o**2 - 25*o + 10. Let s(x) = -22*l(x) + 10*v(x). What is s(b(q))?\nAnswer: 1200*q**2 + 480*q + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 7*z**2 - 10*z - 31. Give q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249*f**5 - 413*f**2 wrt f.\nAnswer: -14940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = 2*h. Let z = h - -4. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 2631*b - 2629*b - 7*y, -4*y - 35 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 138 = -42. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**8\/36960 + s**6\/3960 - 11*s**4\/6 - 17*s. Let n(a) be the third derivative of u(a). Determine b so that n(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2169 + 2168.0005. Let l = g + 1. What is l rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/14, -3, 3, -1211, 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 439506 and 1458.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 1283911473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 5 (c) -20.92 (d) -0.4 (e) 244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*w - 329 + 386, 2*n - 114 = -2*w. Calculate the remainder when n is divided by 27\/(-6)*(-16)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n + 8 = 0. Let x(a) be the first derivative of 1\/3*a**3 - 1 + 0*a**n - a. What is the first derivative of x(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 16. Let c be z(-5). Let a(k) = -c + 1 - 198*k + 200*k. Let i(g) = -g. What is a(i(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 - 4953*q - 54120 = 0. Calculate q.\nAnswer: -1640, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65, -116, -165, -212, -257, -300, -341?\n\"Answer: q**2 - 54*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2 and -77\/5128042.\nAnswer: 5128042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 10) to base 8\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221449558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 2864256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. Suppose 0 = n + f*l + 3, -l + 5*l = -4. Sort 1, n, -0.1 in increasing order.\nAnswer: n, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 8*v**2 - 3*v - 12. Calculate the remainder when (4\/(-6))\/((-64)\/10272) is divided by d(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 12*t - 7. Calculate the remainder when 189 is divided by x(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 12. What is t(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 73.\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2610949925.\nAnswer: 5, 3527, 29611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13445601919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 45 (b) 19\/3 (c) -1 (d) -2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19472128 is divided by 738.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1 + (5 + 2 - 4)*(-1 + 2 + 0))*(-34 + 34 - 3*u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -680 - -834. Suppose -3*t + 5*v + 437 = 0, 3*v + 0*v + 293 = 2*t. Is t < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7953, -7997, -8061, -8139, -8225?\n\"Answer: x**3 - 16*x**2 - 3*x - 7935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -12)*(2 - 1). Let a(s) = -s**3 - 2*s**2 + 2. Let m be a(-3). Suppose -9 = -t + 5*r, -3*t + r = -y - m. Solve u + t - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -104*k - 9966. Calculate s(-97).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**2 - 16*y**2 + 0*y**2 - 3*y**2.\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169322*m**2 - 419641*m wrt m.\nAnswer: -338644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -85*i + 1. Let q be (-11)\/9 - (-22)\/99. Let y be g(q). Round y to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -824465424 divided by -137410904\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402*i = -400*i - 8. Suppose -17*f - i*f = -378. What is the smallest common multiple of 768 and f?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35041567 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b**0)**(-3) assuming b is positive.\nAnswer: b**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:41 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - b)*(0*b + 2 - 3*b + 0*b).\nAnswer: 3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 + 188.55. Let p = n + -189.00079. What is p rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from {t: 10, k: 4, w: 5}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36466.\nAnswer: 2, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n - 76 = 47 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7 = -1. Let p be 12\/27 - n\/(-9). Which is the second biggest value? (a) 4 (b) -9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 62 = 2*a, -5*a = -2*a + 3. Calculate the greatest common factor of 588 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 12. Let n(m) = 3*m + 12. Let r(q) = 6*l(q) - 5*n(q). Let j be r(-13). Suppose 34 = 8*u - 7*u. What is the greatest common divisor of j and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 1\/543 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12 > -8\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1900) + 2.\nAnswer: 1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose 3*s + f = -1. Which is bigger: s or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + n**2 - 1 + (2*n**2 - 4*n**2 + 4*n**2)*(1642 + 2529 - 359 - 629).\nAnswer: 6367*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, t: 8}. What is prob of picking 4 t?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let c(u) = 20*u - 25. Let r(x) = x**3 - 7*x**2 - 11*x - 13. Let a be r(9). Let w(g) = a*i(g) + 2*c(g). Let b(d) = d. Calculate b(w(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(16\/(19 - 3)). Solve a*i = -20*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*-3*(-2)\/6. Let t(r) = -2*r - 4. Let w be t(-3). Suppose -5*a + 4*q = -634 + 196, 5*a - 444 = w*q. Calculate the highest common factor of a and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.981 + 0.019. Let o = y + -13. Let f = 123\/4 - 31. Which is the closest to 2\/3? (a) f (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 13*a**3 - 131*a + 8 - 2 - 1.\nAnswer: 13*a**3 - 131*a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 470?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 221289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 223771556*h**2 + 87254986?\nAnswer: 447543112*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*v**2 + 11 + 16*v + 5*v**3 - 49*v**2 + 175*v**2 - 86*v**2 as s + f*v + a*v**3 + n*v**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1140*p - 111 - 390*p + 612*p wrt p?\nAnswer: 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1059 - 1266 = -31*l. Calculate the greatest common factor of 50 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:42 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -496290 divided by -165430.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3919 = 3*a - 3886. Let l = 18 - -6. Let w = l + a. What is the remainder when 51 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 653, 652, 651, 650, 649?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, d: 8, a: 2, k: 1, x: 3}. What is prob of picking 2 x, 1 d, and 1 k?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 5}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (205\/1700)\/1 - 704\/(-23936)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -121*k + 3. Let s(f) = 202*f - 5. Let l(r) = -3*s(r) - 5*u(r). Let x(n) = -246*n**2 + 2. Determine x(l(t)).\nAnswer: -246*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -3 + (-2 - -7). What is the smallest value in -5, i, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1726613792 and 10?\nAnswer: 8633068960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 2225. Let r(d) = d + 2146. Give 4*a(m) - 5*r(m).\nAnswer: 3*m - 1830","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:19 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p**3 - 5\/6*p**5 + 4*p**2 + 35\/8*p**4 + 0 + 8*p. Find the second derivative of y(f) wrt f.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*n = 30, 30 = 5*g - 0*n - n. Suppose 1676 = g*p + 2*d, 6 + 0 = -3*d. Calculate the greatest common divisor of p and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(2\/27)*j**(-20)*j assuming j is positive.\nAnswer: j**(-461\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 573439 + 374940 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4359.537l?\nAnswer: 4359537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9) - 2\/4. Let l(q) be the second derivative of -2*q + v*q**3 + 0 + q**2. What is the derivative of l(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56849 is divided by 661.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 15 = -4*b - 5*h, -2*h + 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 940 divided by -940.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8674 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 57 + 6*i - 41 + 347*i**2 - 26 - 349*i**2. Calculate s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + (8\/(-2) - -6)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*45970\nAnswer: 18388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24855517 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 0*q - 2*q)*(-26 + 286*q + 57 - 31) to d*q + w*q**2 + y and give w.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -565*z + 13354. Determine d(24).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhwf when four letters picked without replacement from {v: 1, u: 1, w: 1, f: 1, h: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353019018.\nAnswer: 2, 3, 11, 617, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 58*q**6\/3 + 3*q**4\/4 + 344*q**3\/3 + 3. What is the third derivative of d(f) wrt f?\nAnswer: 6960*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.088 - -0.072. What is the fourth smallest value in f, 1\/4, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -111, -218, -335, -468, -623, -806?\n\"Answer: -g**3 + g**2 - 103*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663018?\nAnswer: 2, 3, 110503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:58 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 + -0.417\nAnswer: -0.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 48775698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 52\/(11 + 2) + 2 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - (-80)\/45. Let k = -1333708\/261 + 5110. Let w = 38\/87 + k. Which is the nearest to 2? (a) -0.1 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -65. Let t be n + 2\/(8\/28). Suppose 0 = 3*h + t*i - 404, -i - 532 - 104 = -5*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -912*t + 2 - 20 + 450*t.\nAnswer: -462*t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 - 2*h + 4. Let w(p) be the third derivative of p**5\/15 + p**4\/12 - p**3\/2 + 7*p**2. What is 5*s(n) + 6*w(n)?\nAnswer: -n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -4.\nAnswer: 189\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 - 10\/(-5). Suppose z*f + 4 - 20 = 0. What is the second derivative of -4*y + f*y + 2*y**5 - y wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17339, -25288, -33237?\n\"Answer: -7949*x - 9390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*i + 4068 = 767 - 1259 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 - -0.51. What is the nearest to f in -5, -1\/8, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 162.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 134568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x + 40*x + 18 = 0. Solve m - 2*o = 1, -5*o - 1 = -x*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72982266.\nAnswer: 2, 3, 7, 23, 43, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.782 rounded to 0 dps?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3*g - 3)*(-1 + 0 - 2) - 12 - 2*g + 12 + 0*g + g - 5*g to the form w*g + n and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123899503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152777\/10 - 76386\/5. Factor i**3 - y*i**4 + 1\/2 - i + 0*i**2.\nAnswer: -(i - 1)**3*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.5556 minus 53450.181?\nAnswer: -53499.7366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.32 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -320*m + 13 wrt m?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/11 + 1442*z\/11 + 1440\/11 = 0. Calculate z.\nAnswer: -720, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.555 - -18.855. What is the closest to 1.21 in s, 1, 0, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 greater than -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23190958, 46381914, 69572870?\nAnswer: 92763826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20842467 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 hundreds digit of 317477327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566*q + 2*v = -570*q + 464, 5*q - 2*v - 580 = 0. Solve 3*u + q = -2*c + 122, -4*c - 4*u = -4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616660725 to the power of 1\/3, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/6 + 81*f**3\/2 - 1377*f**2\/2 + 6111*f\/2 - 4050 = 0. Calculate f.\nAnswer: 3, 12, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.1546241 rounded to 2 decimal places?\nAnswer: 29.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3 - 99*d**2 - 702*d = 0. What is d?\nAnswer: -6, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 - 521.47.\nAnswer: -477.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 - 15*j - 33. Let a(v) = -10*v**2 + 46*v + 92. Calculate 5*a(s) + 14*u(s).\nAnswer: 6*s**2 + 20*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d - 1353 = -142*d - 32*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298861137 to the power of 1\/3, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1564*143.\nAnswer: 223652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8071 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(15\/(-1614)))\/(-6 - -4). Suppose -273*c = -u*c - 173240. Round c to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 22*x**2 + 86*x + 4. Let z be h(-5). Calculate the highest common factor of 3782 and z.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h - 2 = 0, -4*h = a - 19. Let v(n) = n**2 - 1. Let m be v(3). Let u = a - m. Solve 2*c + u = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 2*x**2 + 41 - 17.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 1.1123\nAnswer: 32.2567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4283184 and 2516.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -1 - (-22)\/4*(-688)\/(-473).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 - 7*v + 8. What is f(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5 - 915*a**4 + 3729*a**3 + 6423*a**2 - 20466*a - 22248 = 0.\nAnswer: -309, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 50763404?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326031.\nAnswer: 7, 189433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - 9 = 2*t - 30*m, 0 = -4*t + 3*m - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 44*w + 2216. Give u(-38).\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 2*b**2 - 5*b**2 + (-b + b + b)*(-3*b + 3*b - 2*b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 30*c**3 - 3*c**2 - 7*c + 6. Is d(5) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 30*v - 28 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564486 is divided by 37?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -19, -39, -79, -145, -243, -379, -559?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 1 - 2*h - 3. Let r(k) = k**3 - 45*k**2 + 124*k + 80. Let w be r(42). Calculate l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 + -2. What is the nearest to i in -0.1, 3\/7, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -324?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7429)\/51*1518\/(-5819)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.6 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*v**5\/9 - 10298*v**4\/9 + 283318*v**3\/9 - 482720*v**2\/9 + 247528*v\/9 - 37856\/9 = 0. Calculate v.\nAnswer: 2\/7, 1\/2, 1, 28, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 3*a)*(5*a - 2*a - 2*a) + 4*a**2 - 5*a**2 - a**2 - a**2 - a**2 - a**2 + a**2 - a**2 - a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31052898*u**3 - 6211938*u**2 - 2 wrt u.\nAnswer: -186317388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + w + 18 = 2*l, -5*l + 26 = -3*w. Let u = l + -8. Sort u, 0, -5 in increasing order.\nAnswer: -5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001392081272 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 78, 111, 160, 231, 330?\n\"Answer: r**3 - r**2 + 19*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-18))**28)**(6\/11) assuming d is positive.\nAnswer: d**(-3024\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**3 + 22278063*k**2 - 41359307502216*k - 124078123009296 = 0.\nAnswer: -3, 3713012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {y: 1, x: 9, s: 4}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -4*q + 27*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, 1887 in decreasing order.\nAnswer: 1887, 24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + 1*sqrt(17))*-2.\nAnswer: -40 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*d - 6 = -17, 30 = 3*p + 5*d. Suppose -p*u + 305 = 5*x, -x - 23 = -u + 28. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 + 14838*p**4 - 18332343*p**3 - 36709212*p**2 - 18362028*p.\nAnswer: -3*p*(p - 2474)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 1\/8, 516, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -0.4 (c) -24 (d) 2\/139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1))\/j**(-2\/25))\/(j**(3\/17)\/j*j**(3\/2)) assuming j is positive.\nAnswer: j**(1193\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 5*w - 8. Let d(l) = -l. Give -4*d(v) + k(v).\nAnswer: -v**2 - v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 5:51 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 2808 + 2808.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1389049 or -1389054?\nAnswer: -1389054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-9)*(-45603)\/(-2252). Solve 95*j - 97*j = x for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + 0 + (2 - 2). Let f be ((-45)\/10)\/(n\/(-24)). Let m(l) = -l**2 + 10*l + 4. Let o be m(10). What is the greatest common factor of f and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:05 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26740 or 9831?\nAnswer: 9831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 7. List the prime factors of (r\/(-2))\/5*44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 bigger than 1847\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 204544?\nAnswer: -204541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*1*(3*sqrt(567)*6 + sqrt(567) + (sqrt(567) - (-4 + -3*sqrt(567))) + sqrt(567)) + -5)**2.\nAnswer: 129600*sqrt(7) + 32660100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by 225\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 9. Suppose -180 = -9*g - 21*g. Solve -2*b - j*p = -b + g, -18 = -5*b - p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, c: 2, b: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 134735160 rounded to the nearest one hundred thousand?\nAnswer: 134700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 35. Determine b(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - 1 - (-6)\/(-9 + 20 - 10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by -2 + (70\/15 - 5) + (-85)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580059346 - 4\nAnswer: 580059342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1546 = 3*n - 1175. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 5066*o + 5064.\nAnswer: 2*(o - 2532)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -47, -61, -75, -89, -103?\n\"Answer: -14*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4 = -2*m, 4*m = 5*d - 0*m - 37 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-195))\/(12\/(-900)) + -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 8*l - 2*l**2 - 3*l**2.\nAnswer: -2*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1426 and 186?\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3*n + 3. Let v be ((-12)\/4)\/((-6)\/(-8)). Let r(b) = b**3 + 3*b**2 - 2*b + 4. Let o be r(v). Calculate s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 + (-513)\/(-15). Suppose -550 = 18*o - 2998. Calculate the greatest common factor of t and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4497*a**5 - 3775*a**2?\nAnswer: -269820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*g - 21*g + 63*g.\nAnswer: 149*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 606, 1204, 1802, 2400, 2998, 3596?\n\"Answer: 598*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -211, -1\/3, -1\/174, 0.1?\nAnswer: -1\/174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*b - 17 - 77*b + 34*b + 52*b to s*b + r and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g. Let w = g + -3. What is the units digit of 0 + w + (-4)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.741660005 rounded to 2 dps?\nAnswer: -2.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3 - 433*w**2 - 6209*w - 21903 = 0.\nAnswer: -7, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/21 and -79\/3477.\nAnswer: 24339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(102)*1)\/sqrt(6) + sqrt(17) + (sqrt(17) + -2)*-4 - ((sqrt(17) + 2)*2 + sqrt(17)*-1 + 0)) + 3)*-3)**2.\nAnswer: -378*sqrt(17) + 1818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 287962667 to the power of 1\/4, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258134 is divided by 258131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*s + 6 = -2*s, -4 = 2*i - 3*s. Let k be (1 - 1)*i\/(-60)*10. Solve 0 = -5*z + 2*c - 18, 0 = 2*c - k - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*z = 187*z - 358 + 43 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241795 + 858130478\/3549. Calculate the common denominator of -93\/14 and s.\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*b**2 - 44*b + 73*b - 29*b.\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u. Let w(p) = 17748*p + 25. What is i(w(z))?\nAnswer: -53244*z - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) -5 (d) 3 (e) 5\/4 (f) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/7)\/4*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/441, -3, -0.0121, 2\/5?\nAnswer: -1\/441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 434, 571, 710, 851?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -467\/28 - -115\/7. What is the closest to -93 in 0.3, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7166800141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 - 21 - 30 - 4*u - 21 as j + i*u and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000548 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/6)\/(-9)*6. Suppose -12 = -3*m - 2*v, -8*m + 4*m + v = -5. Suppose 0 = -i - 0 - m. What is the fourth smallest value in f, 3\/7, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/315 - x**5\/42 - x**4\/18 + 41*x**3\/63 - 10*x**2\/7 + 2*x - 87. Let o(a) = 0. What is a?\nAnswer: -3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54272*v + 54310*v - 1444 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -24*g - 1021. Calculate p(-43).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - 0.22. Let x = 0.1 + o. Let f = 13\/9 - 47\/45. What is the nearest to f in -0.1, 3, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732307449 divided by 244102483?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 + -13927923?\nAnswer: -13928164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 85?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 5*d**2 - 4*d**2)*(13*d - 7*d + 5*d).\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from gggggggwwgg?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 112\/42*3\/2. What is the second biggest value in i, 1.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756289236.\nAnswer: 2, 3, 63024103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17133, -17129, -17125, -17121, -17117, -17113?\n\"Answer: 4*r - 17137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 2*c. Let y be n(-1). Suppose -5*r + 2 = -2*v, -5*v + y + 21 = r. Let h(f) = 51*f + 1. What is the units digit of h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115d0 (base 16) to base 14.\nAnswer: 1bcc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -1c?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 100, 126, 152, 178?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 127, 242, 349, 448?\n\"Answer: -4*v**2 + 127*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 285.\nAnswer: -1\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007087014 to seven decimal places.\nAnswer: -0.0000709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 5*w - 11. Let a = 16 + w. Solve 2*n - 35 = -4*k - k, 0 = 2*n + a*k - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gshq when four letters picked without replacement from {c: 1, q: 1, t: 1, s: 2, h: 1, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from ssssoomssms.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -57. Let f = 15 - u. Let q be (-1 - 12\/(-10))*-1. Which is the biggest value? (a) q (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(250) + (sqrt(250) - sqrt(250)*-2) - sqrt(250))\/(sqrt(5) + -5*(sqrt(5) - sqrt(35)\/sqrt(7))).\nAnswer: 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 16 = 5*v, -2226*v + h + 16 = -2223*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 139*o - 64. Suppose 0 = 5*d + 3*j - 42, 3*d - 6*d + 6 = -3*j. What is the tens digit of c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = u + 6, -4*s + 3 + 9 = -2*u. Let c = u - -2. Let p(w) = -w**3 + 2*w**2 + 6*w + 5. Is p(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37133*h**4 - 1885*h + 1.\nAnswer: 445596*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 65*c - 3. Is q(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2146.46085s?\nAnswer: 0.024843296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3463, -4187, -4911, -5635, -6359?\n\"Answer: -724*h - 2739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*(sqrt(56)\/sqrt(8) - sqrt(7)) - 1*(sqrt(7) + -1))*4)**2 + -5.\nAnswer: -192*sqrt(7) + 763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, v: 9}. Give prob of sequence vaa.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/3*(-4)\/(-16)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3 = -c - 5*l, -c - 1 = 3*l. Suppose c*k = k + 23. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54724, -54723, -54724, -54727, -54732, -54739, -54748?\n\"Answer: -o**2 + 4*o - 54727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/20, 0.42, 2\/9, -0.3?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/600 + 38*a**5\/75 - 5*a**4\/2 + 83*a**2 - a + 23. Factor i(z).\nAnswer: -z*(z - 150)*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5039 to two decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13713 and 1995568?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 + 22*v - 10. Let r(w) = -90*w. Determine r(x(t)).\nAnswer: 360*t**2 - 1980*t + 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/28*204\/6*(-2)\/(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 61806\nAnswer: 15451.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3903*a**4\/4 - 9182*a - 6803. Differentiate c(l) with respect to l.\nAnswer: -11709*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38724 = -350*g - 42*g + 14137 - 13829 for g.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifbf when four letters picked without replacement from yyiyyybgyyysfgy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 + 48*f + 26690\/3 = 0 for f.\nAnswer: -85, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 953 + -547. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y + 14. Let x(j) = -6*j - 9. Let p(s) = 32*s + 46. Let z(d) = -2*p(d) - 11*x(d). What is -2*g(t) + 5*z(t)?\nAnswer: 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -388.\nAnswer: 9\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70.382 + -70. Round v to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:31 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5ff (base 16) to base 13\nAnswer: -911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.324 + -0.676. Sort 5, s, -1, -2.\nAnswer: s, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (18\/28)\/((-8)\/28).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-10))\/(806\/195). Do -1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/4*(-4844)\/(-1557)*3\/2. Let t = 194 - 47. Calculate the highest common divisor of t and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78848199 to the nearest 100000.\nAnswer: 78800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 756*g + 14. Let c(z) = 754*z + 14. Let d(x) = 7*c(x) - 6*l(x). Let k be d(1). What is the highest common divisor of k and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8.99 and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158535 and 18135.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 8, 2, 0, 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywy when three letters picked without replacement from cycccccwccyyccc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 997710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 14*s**2 + 2*s - 20. Let p be t(14). What is the highest common factor of p and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 370892*j*n**5 + 3*j*n**3 + 72*j*n - 7132*n wrt n.\nAnswer: 7417840*j*n**3 + 18*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:11 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11210021020322 + 1?\nAnswer: -11210021020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - -15401?\nAnswer: 153e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16509060*n - 6920265?\nAnswer: 16509060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 121*l. Let r(d) = -12*d. Calculate r(h(j)).\nAnswer: -1452*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 4:02 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 84*k**2 + 2*k - 3. Let l(a) = -252*a**2 - 6*a + 10. What is 10*f(z) + 3*l(z)?\nAnswer: 84*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 + 57*p + 5. What is g(11)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*d**2 - 2 + (0*d - 5*d + 4*d)*(1 - d - 1) - 2 + 2 + 2*d**2 + (2 - 3 - 1)*(2*d**2 - 5*d + 5*d) to the form b + w*d**2 + q*d and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or -15931?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/11 + 3*k**3\/11 + 12*k**2\/11 - 52*k\/11 + 48\/11 = 0 for k.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -3. Let k be (0\/(-2))\/(c\/2). Solve a + 5 + k = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 7 - 6 + 3)*(0*f + 0*f - 2*f).\nAnswer: 2*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/45, 3, 6\/7, 1\/5, 1?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41718445.55 rounded to the nearest 10000?\nAnswer: 41720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immpimippojmmpimyj. Give prob of picking 1 p and 1 i.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 30*b + 20*s - 156 = 0, 15 = 3*s for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 79*o - 76*o + 57, 3*o = j - 21. Calculate the greatest common divisor of 315 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and 1234?\nAnswer: 1234.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -668 + 964. Let l = -250 + z. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**13)\/l**(-11) assuming l is positive.\nAnswer: l**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 64 = 3*p, 2*p - 30 = 6*l - l. What is the smallest common multiple of 80 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 + 0.08. Let h = 21.3 + -22.3. What is the third biggest value in u, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 16 - 6) + -1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 213100547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/12)\/((-120)\/228) and 70\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -48 - -30) + -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 20*m**2 - 68*m + 52. Let x be t(2). Which is the smallest value? (a) x (b) -384 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11*i. Suppose -7*q = -5*m - 3*q, 5*m = 3*q + 5. Suppose 7*f = 2*f, -2*s + m*f = -2. Determine l(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 1. Let w be i(1). Suppose -6*l - 46 - 14 = 0. Is 1272\/10 + w\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + -3*sqrt(13) - sqrt(13) - sqrt(13)) - (sqrt(1573) + -1))**2.\nAnswer: -70*sqrt(13) + 15926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (101 - 60) - 26?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/55 + 3\/55. Let r be -1*(0 + 2\/3). Suppose 5*t + 10 = 3*y, 9 = 4*t + 2*y - 5. Which is the second smallest value? (a) z (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-3 - (1 + -2)) + -5376 + 5371\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14433, 14430, 14427, 14424, 14421, 14418?\nAnswer: 14415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 49 - (7 - 10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r**5 + 268*r**4\/3 + 674*r**3\/3 + 460*r**2\/3 + 25*r = 0. Calculate r.\nAnswer: -1, -5\/21, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-10))\/((-14)\/(-50)*1) + 2928\/(-5124)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**3 - 15*c**2 - 203*c + 1248. Determine y(5).\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.0856 rounded to 2 decimal places?\nAnswer: -53.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/336 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198 is divided by 742?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219486937?\nAnswer: 219486937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 25*c - 23*c - 5.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-63)\/3)\/(-7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*v + 3991 - 8024 - 10957 - 7585 = 0 for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-318)\/1113)\/(6\/(-28))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*r - 1190 = -69*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3318.43 * 0.23.\nAnswer: -763.2389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345 is divided by 540.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - 8*a + 7*a + 73 + (2*a - 2*a + 2*a)*(1 + 1 + 2) + (2*a + 0*a + 0*a)*(1 - 1 + 1) as o + n*a and give o.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 5 - 1872\/126) + (-18)\/(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 12 - 7*g + g + 7*g in the form r + c*g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*c + 3*t, -3*c = -0*c - 4*t - 19. What is the second derivative of 2*y**5 + 8*y + 30*y**c - 6*y**5 wrt y?\nAnswer: 520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124979816?\nAnswer: 2, 3, 19, 2467061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5067\/4 - -15203\/12. Let a(t) be the second derivative of 1\/20*t**5 - t**2 + 0 - n*t**3 + 1\/3*t**4 - 15*t. Calculate a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 549, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 5*s**4\/6 - s**3\/6 - s**2 + 7*s. Let u be r(2). Let d = u - 16. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/4 - 7*d**3\/3 - 7*d**2\/2 - 6*d - 2. Let z be x(8). What is the units digit of (3 + -4)\/(z\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-10)*(-791)\/(-2712)*-30?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 16, -21 = -3*j + x + 1. Suppose -j - 6 = 4*m. Is m at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 7:32 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/1237 (b) 3\/4 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-8)*2)\/((-234)\/52). Let g(q) be the second derivative of 1\/12*q**4 + 0 + a*q**3 + 4*q + 0*q**2. Find the second derivative of g(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {x: 9, o: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**5\/20 + 17*o**4\/12 + 29*o**3\/6 - 15*o**2\/2 + o + 8. Let m be p(-15). Solve 16 = -m*a + 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:00 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/7, -2\/186835, 2\/7, 5 in ascending order.\nAnswer: -5, -2\/7, -2\/186835, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 9*c - 8*c = 1. Suppose -n - c = -5. Calculate the remainder when n is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/55*85\/34\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 3, j: 3, s: 2, u: 1, h: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**3 - 2*h**2 + h**3 + 3 - 3 + (h**2 + h**2 - 4*h**2)*(3 + 12 + 366*h - 364*h) + (-2*h + 5*h - 5*h)*(2*h**2 + 3*h**2 - 2*h**2) + h**3 - 4 + 4.\nAnswer: -10*h**3 - 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -51, -63, -79, -99?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9 - 4*q - 4*q + 3*q + 6*q. Suppose 6 = -b - 0*b. Calculate a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 14 + 96. Let n be ((-31)\/(-4))\/(33\/44 + -1). Let s = n - -42. What is the highest common factor of s and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5 - 4*z**3 + 5*z**3 - 2*z**3 + 4 + 4*z - 4*z**2. Let c be q(-5). Suppose -80 = -c*m - 0*m. Calculate the greatest common factor of m and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24036 + 6999. Suppose 32*n + 6491 = z. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*0*((-9)\/1)\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -2270, -7831, -18716, -36701?\nAnswer: -63562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10022121200121 (base 3) to base 6.\nAnswer: -101450241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010494604 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**1)*f*f)\/((f*f**(-8\/15))\/f)*(f**35)**(-1\/13))**23 assuming f is positive.\nAnswer: f**(-5198\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8*(-2)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3796, -3798, -3800, -3802, -3804, -3806?\n\"Answer: -2*b - 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(53*r - 8*r + 4*r + (3 + 2*r - 3)*(2 - 3 + 6))*(-3 + 3 + 2*r) in the form t*r**2 + f + u*r and give t.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:45 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52742766 = 402*p - 21*p - 97699275. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10304 by 9.\nAnswer: 10304\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13191412.\nAnswer: 2, 13, 253681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -0.5, -0.6856 in increasing order.\nAnswer: -5, -0.6856, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(20\/6)*(-4)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 218056014564.83?\nAnswer: 218056014564.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d. Let g(w) be the second derivative of -3*w**5\/20 - w**4\/2 + w**3\/2 + 3*w**2 + 3*w + 16. Let x(k) = g(k) + j(k). Find p, given that x(p) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2 - 216*y - 213 = 0. What is y?\nAnswer: -71, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o. Suppose 3*b - 11 - 13 = o. Let n(l) = 658*l - 56524. Let u be n(86). What is the highest common divisor of b and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 721.4671 centimeters?\nAnswer: 0.007214671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 6*o**2 - 5*o - 7. Let b = 8 + -15. Let i = b + 12. Give z(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.76317cm in millimeters?\nAnswer: 407.6317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(1\/35)*(f**(1\/3))**(2\/11)*(f\/f**(-2\/7)*f\/(f\/f**2))\/(f**(2\/5))**(-1\/15) assuming f is positive.\nAnswer: f**(6603\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -125*w - 73. Let j(y) = -390*y - 222. Determine -5*j(g) + 16*s(g).\nAnswer: -50*g - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 468 + -459. Solve 26*b - a = 17*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3, -2\/9, -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c**4 + 28*c**2 + 339 wrt c?\nAnswer: -32*c**3 + 56*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/8 - 6\/4. Suppose 0 = -3*f + 5*f - 12. Let r(q) = q. Let d(u) = 5*u - 1. What is f*r(z) + o*d(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5577 and 2132181909.\nAnswer: 5577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 12*m**2 + 6*m + 6. Give q(7).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 4. Let b = -28 + 25. Let g be w(b). Solve r + 12 = -g*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 11) to base 14\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 2*j + 4. Let z be p(-4). What is the remainder when ((-1)\/3)\/(z\/804) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202060126 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*y + 1 + 1, -5*p = 2*y - 7. Let a(v) = -v**3 - 4*v**2 - v. Let g be a(y). Solve -n = -g*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) -9.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7*j**2 - 32503*j + 32503*j - 3 - 2*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 268 (b) -3\/4 (c) -1\/4 (d) 1\/6 (e) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2407608599 - 12.\nAnswer: -2407608611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-120)\/18)*10\/(-4)*(-15642)\/(-711).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(1584) + 2)**2.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = o. Let f be ((-5)\/o)\/((-1)\/4). Let u = 35 - 30. Solve u*i = -2*d - f, -d + 5*i = -0*i - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x - 207. Let i(h) = -22*h + 289. Let o(t) = -5*i(t) - 7*v(t). Let k be (-2)\/(-9) - 102\/(-27). Let f(u) = 2*u + 1. Determine k*o(a) - 11*f(a).\nAnswer: -2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151 or -1169?\nAnswer: -1169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c - 6. Let a = -5 + 10. Let k(q) = -q**2 + 3*q + 6. Let o be k(a). List the prime factors of r(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -9.924.\nAnswer: -15.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**3 + 3*n**2 - n - 1. Let u be c(1). Put u, 3, -4 in ascending order.\nAnswer: -4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 3*b**2 - 3*b + 6. Calculate the lowest common multiple of z(4) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -34.5. Let n(a) = -6*a**3 - a**2 + 2*a. Let o be n(1). What is the second smallest value in 11, u, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 37*w**3 - 61)*(-5*w**2 + 0*w**2 + w**2)*(-3 + 5 + 0).\nAnswer: 296*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/((-3)\/((132\/16)\/11))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -47*r**2 - r - 3. Let w(d) = 95*d**2 + 3*d + 7. What is -2*w(q) - 5*y(q)?\nAnswer: 45*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-1))*y)\/y)**17)**(-3\/13) assuming y is positive.\nAnswer: y**(-51\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4196, -4051, -3968, -3977, -4108, -4391, -4856?\nAnswer: -5533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1471 and -0.07.\nAnswer: -102.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -78750 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*h - 15*h**2 - 24*h**2 + 58*h**2 - 21*h**2 + h**4 in the form o*h + p*h**2 + w + t*h**3 + k*h**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 78 + -104 + 65?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4080?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 1, 31, 67, 109, 157?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 10*n**2 - 6*n - 4. Let j be a(1). Solve 2*z - 3*p - 14 = 0, 4*z + 3*p - j - 7 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 433 + 377. Suppose -s = -0*m + m. Let c = -96 - m. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6\/13)\/g)\/g*g*g**18*g**(-4\/7)\/g**36)**(-2\/19) assuming g is positive.\nAnswer: g**(3646\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4 + (-9)\/27).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-20)*(6\/(-7) - (-475)\/350)*-232?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 161?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8176\/(-273) + 5050\/390 + -13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3655\/4*q - 5\/4*q**3 - 3055\/2 - 155\/2*q**2.\nAnswer: -5*(q + 2)*(q + 13)*(q + 47)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -11. Solve -2 + 5 + a*r**2 + 3*r**2 - 6*r - 2*r**2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from hjwdzqd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-216)\/64\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by 31\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 16*r**2 + 13294 - 2*r - 11*r**2 - 4*r**2 + 29*r**2.\nAnswer: -2*r**2 + 2*r + 13294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13476 less than 13476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 275174 - 20?\nAnswer: 275154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/41, 0.3, -1\/3 in increasing order.\nAnswer: -1\/3, -2\/41, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**3 - 10. Let y(u) = 1. Give -s(m) - 10*y(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -22417648?\nAnswer: 22417648.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - 26\/(-24). Let m = 6 + -6. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -22 + 16. Let b = -2 + r. Let q(i) be the third derivative of -i**5\/30 + 5*i**4\/24 + 2*i**3\/3 + i**2. Calculate q(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -16*x**2. Let q(n) be the second derivative of -n**6\/720 + n**4\/3 + 3*n. Let u(k) be the third derivative of q(k). Determine h(u(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7196370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.432033 seconds in microseconds?\nAnswer: 432033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**6)\/z*z**(1\/2)*(z**0)**2 assuming z is positive.\nAnswer: z**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 630149 and 101233623?\nAnswer: 100603474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0, -6684.\nAnswer: -6684, 0, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5 + h - 6 - 3*h. Let x be n(-8). What is the closest to 0.2 in -0.4, x, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 48 = 4*o. Suppose 4*f - 3 = o. Suppose s + 12 = f*s + 2*b, -48 = -4*s + 4*b. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 415, 828, 1241?\n\"Answer: 413*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 54, 67, 84, 105, 130?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffluf. What is prob of sequence fffl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**5\/20 + u**2\/2 - 3. Let w(b) be the second derivative of v(b). Let q(j) = 8*j. Give q(w(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-792)\/15)\/(4\/(-20)). Suppose 2*w + t = 3*w. Let c = w - 186. Round c to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4.413564 seconds?\nAnswer: 0.0735594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520 is divided by 522?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -142, 5 in increasing order.\nAnswer: -142, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = y + 51. What is the remainder when 6 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from iqeqeimmqhqhm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(605) + 2 + -4 + -5 + 5 + -3)*-4.\nAnswer: -60 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -181, -208, -233, -256, -277, -296, -313?\n\"Answer: d**2 - 30*d - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75375742.\nAnswer: 2, 13, 2899067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -88243298 divided by 9?\nAnswer: -88243298\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 45. Let a(o) = -17*o**3 - 13*o**2 + 17*o + 11. Let v(y) = -8*y**3 - 6*y**2 + 8*y + 5. Give c*v(t) + 6*a(t).\nAnswer: 2*t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20941.\nAnswer: 43, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 8*m**2 - 200. Let l(d) = 16*d**2. Determine n(l(f)).\nAnswer: 256*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 40*t + 56. Let q be u(-18). Let p = q + -442. Solve p*b + 0*b = -10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g + 28 = 51*g. Solve 24 = g*f - 2*a, -6*a + 2*a - 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1268350?\nAnswer: 2, 5, 25367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**3\/6 + p**2\/2 - 31*p. Let u(o) = -7*o - 15. Let w(h) = -5*f(h) - u(h). Give w(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/2, -0.5, -5, -2\/3.\nAnswer: -5, -3, -2\/3, -0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 18 - (-3 - -14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - i = -3*i + 152, 2*i = 2*q + 296. What is the remainder when 221 is divided by (((-10)\/4)\/(-1))\/((-24)\/q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2471, -9966, -22481, -40016?\nAnswer: -62571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 107 (base 8) to base 16\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6223375?\nAnswer: 5, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 11*r**2 + 17*r - 16. Let g be u(13). Let y = -52 - g. Suppose -4*a - f = -91, 2*a = -2*a - 3*f + y. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -30, 0.04131, 24\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-7)\/y*y)\/(y\/y**(-2\/17))*(y**1)**(34\/3))**(4\/7))**40 assuming y is positive.\nAnswer: y**(26240\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -130, -129, -118, -91, -42?\n\"Answer: l**3 - l**2 - 3*l - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 5*k + 96. Let p be (-3 - (-25)\/10)*6 - k. Solve p*x - 4*m = 3*x, 0 = -3*x - m + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281779623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1449 + 1452. Let f(g) be the first derivative of g**2 + 2\/3*g**p - 2*g - 19 - 1\/2*g**4. Factor f(w).\nAnswer: -2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -64, 0.2, 5, 2\/9 in increasing order.\nAnswer: -64, 0.2, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 6, -0.3, 1\/7, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 0.2. Let l = 0.13 - 0.03. What is the closest to w in l, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0 + 4*b**2 - 1\/8*b**4 - b**3 + 0*b - 1\/120*b**6 - 1\/20*b**5. Calculate the remainder when r(-5) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 872999?\nAnswer: -872997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6410.\nAnswer: 2, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-18))\/(28\/21)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18.505 or -3836.5?\nAnswer: 18.505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104.9 + -32.1. Let v = w + 130.9. Let l = -6 - v. Which is the closest to 2\/5? (a) 4\/5 (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.108 (b) -5 (c) -3\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*s + 27*s + 30*s**2 - 9 + 9*s**2 + 9 + (4*s + s - 3*s)*(-2*s - s + 2*s) + s**2 + 3*s**2 - 6*s**2.\nAnswer: 35*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -52679 greater than -52679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 183066, 183614, 184162, 184710?\n\"Answer: 548*n + 182518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16883751 to the power of 1\/2, to the nearest integer?\nAnswer: 4109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 63291\/13688?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 2*x = 12*c - 17, 5*c - 27 = -3*x. What is the nearest to -0.5 in -0.2, 1, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39619 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*4*1\/20*(-1965)\/(-62487)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 22. Let r be 2 - ((-10)\/4 - p)*4. Suppose -o = -r + 16. Solve -4*q + 0*q + m - 13 = 0, o = 3*q + 2*m - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or -118?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/6*(-6)\/3. Let l(m) = -m**3 - 2*m**2 - 4. Let k be l(a). Solve 3*o = o + k*p + 10, -2*o - 5*p - 30 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*(-477)\/742\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -4, -1, 0 in increasing order.\nAnswer: -4, -1, 0, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -53 and 1\/342 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = z. Suppose 5*u = -5*n - 7 - 38, 39 = -5*n - z*u. Calculate the remainder when 25 is divided by (-51)\/n + 3\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 79*t - 21*t - 35*t - 23*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 14. Let n be m(-11). Let f = n - 11. Which is the second smallest value? (a) -1\/2 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1326952 divided by -120632.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + c = -3*v - 2340, v - 1170 = -4*c. Let h = 1644 - v. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -0.057\nAnswer: 2.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a**2 - 5*a - 2. Suppose 619*m - 59 = 596*m + 33. Let j(u) = 5*u**2 + 2*u + 1. Determine m*g(z) + 9*j(z).\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 177*t - 3 + 2 + 0 + t**3 + 3 to d + h*t**3 + o*t**2 + i*t and give i.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let d be y(4). Suppose -49*o + 25 = -44*o. Let m(u) = -d*u + o*u - 3*u. Let t(v) = v**2. Give t(m(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34543944*3.\nAnswer: 103631832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -100, -170, -298, -502, -800, -1210, -1750?\nAnswer: -2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -2 + 0*t**2 + 4\/5*t**5 + 0*t**3 + 1\/2*t**4 + 1\/3*t**6 + 0*t. Determine w so that b(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/25738 and 29\/25738.\nAnswer: 25738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 20 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6*-2)\/(40\/560)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2. Let j(m) be the second derivative of -m**3\/3 - 2*m. Calculate t(j(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 11*z. Let l be x(-11). Does 7 divide 0\/(-1) - (-46 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 62 + 94*g - 93*g - 16 - 23.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*s + 14, -5*s + 2*w + 22 = 3*w. Let d(i) = 6*i**2 - i + 1. Let z be d(s). Let n = z + -51. What is the highest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1823, -5469, -11561, -20105, -31107, -44573, -60509?\n\"Answer: -t**3 - 1217*t**2 + 12*t - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**3 + 5*a**2 - 7*a + 9. What are the prime factors of h(3)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from www. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -4 - 0) + 28. Let k be (d*7)\/2*2\/4. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000976519764 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2011412 (base 5) to base 11\nAnswer: 22139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**3 + 23*z**2 - 5*z + 5. What is the units digit of p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6756\/11 = -615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5073?\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3506, -6209, -8028, -8963?\n\"Answer: 442*i**2 - 4029*i + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572*j**4 + 40563*j**3\/5 + 7769*j**2 - 56922*j\/5 + 216 = 0. What is j?\nAnswer: -18\/11, 1\/52, 4\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/(-396) - (-20)\/80. What is the smallest value in -3, k, 0.076, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -107, -38, 2, -6, 0, -31.\nAnswer: -107, -38, -31, -6, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 + 44*t\/15 - 34\/3.\nAnswer: -2*(t - 17)*(t - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168384.\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 32*r - 58. Let l be i(30). Suppose -v - l*y - 3 = 0, -3*v + 3*y = -2*v - 7. Let b(u) = 7*u + 3. Let o(m) = -m - 1. Determine v*b(a) + 2*o(a).\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -36\/11, -0.01, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 817063 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*f - 1412682 = -1418730 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29\/3 + 24\/(-18)*-1. Let f(n) = 11*n**2 + 15 - n**3 + 7*n - n**2 + 2*n. Give f(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**27*a*a**(4\/13)*(a\/(a**(-18)*a))**(-2\/57) assuming a is positive.\nAnswer: a**(-6255\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-2 - -6)) + 5 - 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p - 41*p + 28*p - 27*p.\nAnswer: -66*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1045311 (base 6) to base 4.\nAnswer: -30330223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 7:00 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -a4b6c (base 15) to base 16\nAnswer: -7f857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/13 + 176*w**2\/13 + 4250*w\/13 + 31212\/13.\nAnswer: 2*(w + 17)**2*(w + 54)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 1. Let x(s) = 15*s**2 - 10. Calculate 2*h(n) - x(n).\nAnswer: -17*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64962 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 12*o - 3. Let h be z(12). Let m be (h + (-56)\/(-16))\/(2\/(-28)). Suppose 0*k + 5*k = -35. Is k less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**2 + 18*y + 3. Let h = -14 - -24. Suppose 0 = 4*l - 2*d + 20, -2*d = -l + d - h. Does 33 divide u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 10*y**2 - 18*y - 5. Let s be m(8). Let t = s - -28. Let k(j) = 4*j**2 - 2*j - 2. Let p(w) = -12*w**2 + 7*w + 7. Give t*k(q) + 2*p(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 2*a**2 - a. Let v(f) be the second derivative of 0*f**2 + f - 1\/3*f**3 + 0. Determine v(s(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3672 - 33631?\nAnswer: -27737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353923387 is divided by 2151.\nAnswer: 2149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -10. Let i = 12 - f. Let x(m) = m**2 + 8*m + 3. Is 17 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -605.9 - -605.90008698. What is v rounded to 6 dps?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -500351, -1000671, -1500963, -2001227, -2501463, -3001671?\n\"Answer: 14*z**2 - 500362*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 18*n - 22*n = 8, 3*i + 10 = -5*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 62*j**2 - 116*j + 147. Determine b(-29).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/79772 and 8\/481.\nAnswer: 1037036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(-17)\/(-714)*14.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 - 11 = 0. Which is smaller: 19 or o?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -512 + -4?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3826, -3665, -3518, -3391, -3290, -3221, -3190?\nAnswer: -3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - -2155?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a\/((a\/(a\/((a**(4\/11)\/a*a)\/a)))\/a))\/a)*a**(1\/3))**(46\/7)\/((a**1\/a**(-4))\/(a*a*a\/a**1*a\/(a\/(a*a*a*a**(-3\/4))))) assuming a is positive.\nAnswer: a**(3539\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*a + 22 = 0, 3*a + 0*a = -9. Suppose 5*j + b = c, -48 = 5*c - 9*c - 5*j. What is the first derivative of -c + 19 + 33 - 28*p**4 wrt p?\nAnswer: -112*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267092635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 47.96. Let l = 0.04 - p. What is the nearest to 0 in 5, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 4. Let p = -3 + 2. Let r be 6*(c - p\/(-2)). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18672 (base 14) to base 6\nAnswer: 1153220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*f = 88*f - 8. Let y(a) = 12*a**2 - 11*a**2 - 11 + f*a**3 - 3*a**3. What is y(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:36 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*q = 335*q + 232*q - 31*q + 47205 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 4*d. Suppose 0 = 5*y - 5 + 30. Let z(m) = -7*m**3 - 9*m + 1. What is y*p(i) + 2*z(i)?\nAnswer: i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259 - 246. Let f = 2 + 0. Suppose f*j - 113 = -x. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6859*-2.\nAnswer: 1.3718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 13*s = -45. Let b(n) = 3*n**2 + 8*n - 10. What is the hundreds digit of b(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34129, -34339, -34705, -35239, -35953, -36859, -37969, -39295?\nAnswer: -40849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 41. Sort 3, f, 2, 0 in increasing order.\nAnswer: f, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n + 2*n - 781517 + 783827 = 0 for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*1\/10)\/((-30)\/75). What is the fourth smallest value in 2, a, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x + 6. Let a be (4 + -1)*(0 - x). Which is bigger: a or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 11:25 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9. Suppose 4*n + 3 + 5 = v. Is 2 a factor of 4\/12*n*(-8 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/4494 and 27\/37016.\nAnswer: 11882136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 7 = 22. Suppose 0 = -g - 2*g + 3. Suppose 4*x + g = -3*u, -x - p*x + 3*u = -17. Solve -5 = -x*y + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -0.2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-10)*2\/10*1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-3 - (-33)\/9). Suppose 22 = 2*n + 12. Suppose -9 = -2*d - 3*i, 3*d + 0*i + n*i = 16. Which is the biggest value? (a) d (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*b + 12442, 36*b = 4*d + 29*b - 24890. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2545 - 2930. Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 882113751 to the power of 1\/2, to the nearest integer?\nAnswer: 29700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.545 to one dp.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 18 - 42. Factor -2*x**4 - 10*x**2 - 3*x + 0*x**4 - i*x**3 - x + 4*x**3.\nAnswer: -2*x*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6239 + 6083 - u**2 - 18399 + 6077 + 7*u**2 - 4*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37179 divided by -729?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -e3a?\nAnswer: e3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**3 + 223*u**2 + 47*u**3 - 93*u**2 - 88*u**2 + 46*u**3 - 42*u**2.\nAnswer: 75*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4665417 is divided by 58?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -2763892527.\nAnswer: 2763892533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.005565 - -0.01415. Round h to four dps.\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**3 + n - 2*n + 1 - n**4 + 7*n**3 - 9*n**3 to f*n**4 + c*n**2 + p + s*n + q*n**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -545\/3 or -72?\nAnswer: -545\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*d**3 - 8*d**3 - 3*d**3 - 2*d**3 + 2*d**3 - d**3 + (-2 + 2 + 2*d**2)*(-d + 0*d + 0*d) - 3*d**3 + 5 - 5.\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2*(-3 + -3). Suppose 2*d = 5*y, -5*d = -2*y + v*y. Let k be (-1)\/24 + (-1)\/3. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716784 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7231 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30285300 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12\/35, -1\/4, -2\/453, 67, 1 in descending order.\nAnswer: 67, 2, 1, -2\/453, -1\/4, -12\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*f + 1 + 93*f + 43274689*f**3 - 175*f - 43274699*f**3 - 1.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267425 + 267591. Let n = -0.1 + 0.2. Are j and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943432 to the power of 1\/2, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -431\/87 + 101\/116. Calculate the common denominator of t and 58\/1371.\nAnswer: 5484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1 + -1 - 11) + 7368 + -7364.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -595, 496, 2313, 4856, 8125, 12120, 16841?\n\"Answer: 363*a**2 + 2*a - 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -5) + -34 + 1. What are the prime factors of 2 + 16\/(-4) - x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 5973*i**2 + 11892243*i + 7892485271.\nAnswer: (i + 1991)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212908?\nAnswer: 2, 17, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 - z**4\/24 - 2*z**3\/3 - 116*z**2. Let h(o) = 6*o**2 - 5*o - 19. What is 2*h(r) - 11*s(r)?\nAnswer: r**2 + r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(19) + 2)**2*1 + (-2 + sqrt(304)*-1)**2.\nAnswer: 28*sqrt(19) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 44 = -5*w - 43, -y + 4*w = -7. Let z(j) = 6*j - 14. Let p(g) = 2*g - 5. Determine y*z(t) - 8*p(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.022*-442732.\nAnswer: -9740.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.3? (a) -2\/3 (b) -0.2 (c) -3 (d) -1 (e) 0.7 (f) -316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 6*t - t + 5*t. Let d(y) be the third derivative of 0*y**4 + 0*y**3 + 0 - 4*y**2 + 1\/15*y**5 + 0*y. Determine v(d(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -292 + -1.6\nAnswer: -293.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(0*s - 3*s + 4*s)*(-1 - 6 + 1)*(-3*s**2 + 0*s**2 + s**2).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*l = 3*a - 65, -4*l + 47 = 3*a. Let i be (-6)\/(-9) - (-39)\/a. Let q(y) = y - 10. Let p be q(5). Put i, p, 4 in descending order.\nAnswer: i, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*f - 20 = 0, -2*b + 2*f + 8 = -2*f. Suppose -8*q = -7*q + b. Let u(a) = -a**3 + 5*a**2 - 5*a + 2. Let s be u(3). Put s, 3, q in decreasing order.\nAnswer: s, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minus 0.00347762809?\nAnswer: 341.99652237191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 3*m**3 + 0*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 6:54 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(0 + -8)\/(-1). Let v(u) = 5*u**3 - 12*u**2 + 4*u - 5. Is v(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + 1*(sqrt(168)\/sqrt(4) - sqrt(42)) - sqrt(210)\/(sqrt(5)*-3))\/((4*sqrt(216))\/(sqrt(64)*-6)).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370940*p**2 + 185682*p**2 - 546603*p**2.\nAnswer: -731861*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*k + 12 = 318*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (1 + 0)\/((-8)\/784*-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 61*v - 10. Is c(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 25 + 24 - 74 - 252*l + 25. Let f(h) = 4*h**2. What is f(a(o))?\nAnswer: 254016*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1506217 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4967 + 19869\/4. Which is the closest to s? (a) 0.2 (b) 3 (c) -3\/2 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 5*g - 5*g**2 + (2*g**2 - 4*g**2 + 0*g**2)*(0 - 2 + 3) + 6*g**2 - 5*g**2 - 2*g**2 + (-2*g + 2*g - 2*g**2)*(2 + 1 + 2).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (-33 + 12 + 32)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 78*v**2 - 3*v - 13. Let g = -63 + 69. Is o(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m**3 + 415*m**2 + 1112*m + 275. Calculate i(-29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 662662967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4 - 19. Let y = u - -17. Suppose -3*b = -8 - 4. Solve -3*p + y*l = 11, -p + l = -0*l + b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1899 + -1873.582. Let m = w - 30.46. Let j = m + 5.1. Round j to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36082 - 36073. Solve -23 = -k*t - 95 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/i**(-1\/21))**(11\/6) assuming i is positive.\nAnswer: i**(187\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**3 + 2*a - 113. Let d(l) = 4*l. Determine i(d(c)).\nAnswer: -48*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 25 = 0. Suppose 5*l = 5*z - 319 - 241, 4*z + 3*l - 483 = 0. Let j = z + -112. Solve -p = j*t - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/f**(2\/19))\/f)*f**(-17)*(f\/(f*f*f**(-3\/5)))\/(f\/(f*f\/(f\/(f**(-10)*f)))) assuming f is positive.\nAnswer: f**(-2403\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o**3 - 12 + 12)*(-12*o + 9 - 1739*o**2 - 10 + 1726*o**2).\nAnswer: 234*o**5 + 216*o**4 + 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 656*h**2 + 12*h + 4. Let g(f) = 6561*f**2 + 126*f + 42. Let v(o) = 6*g(o) - 63*w(o). Let j(c) = c. Calculate v(j(m)).\nAnswer: -1962*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -52.4.\nAnswer: -52.4, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + 0.1. Let m = -3.96 - 0.04. Which is the closest to 1? (a) 0.2 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, p: 2, x: 2}. What is prob of picking 2 p?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54334400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdddtd. What is prob of picking 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p*y**2 - 7*p - 577*y**3 - 35 wrt y?\nAnswer: -2*p*y - 1731*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/((-1569)\/(-7322)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, p: 5, n: 1, u: 5}. Give prob of picking 1 p, 1 n, and 1 u.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-1 + 0 + 2)*(-y + y + y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 3*j**2 + 2*j + 6. Let n be m(-4). Suppose n = 4*c - 34. Suppose r = -r + c. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37590402 or -37590404?\nAnswer: -37590402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from lsjdlldlllllllpl?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:49 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 3*f + 242380*f**5 - 268188*f**5 + (-4*f**4 + 7*f**4 - 2*f**4)*(-3*f - 2*f + 6*f) + f**5 - 3*f**5 + 3*f**5.\nAnswer: -25806*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033 (base 8) to base 15.\nAnswer: 25e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {v: 1, g: 2, j: 3, r: 1, d: 5, y: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 1. Let x be 20\/(-4*1)*-1. Suppose x*l + 4 = -1. Which is the biggest value? (a) l (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d1714 (base 14) to base 5\nAnswer: -231310431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 789732756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1)\/(9\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/10)\/(-2))\/((-31)\/465)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 12*x + c - 6 = 0, 5*x + 3*c = 24. Suppose 5*a - 5 = -2*w, 4*a - x*w - 19 - 8 = 0. Solve 2*p = -q + 4*p - 10, q - 5 = -a*p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -39.2. What is the third smallest value in 2, 0, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572650.8km in micrometers?\nAnswer: 572650800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2. Let l(k) = -5*k + 6 + 3*k + k - 19. Calculate p(l(b)).\nAnswer: -b**2 - 26*b - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = w - 4*w. Suppose -2*h + 192 = w. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(30\/(-6))*5\/10*70\/15\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2 + m*o - 69*m*p - 2*o*p + 4*o - 16 wrt m.\nAnswer: -2*m + o - 69*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 44*o = 41*o - 242525, -69293 = -2*b + o. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3277 divided by -6240.\nAnswer: 3277\/6240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -8684602 at most -8684603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-15))\/((-18)\/30). Let j(q) = q + 1. Let k be j(1). Let v = 2 + -1.5. Which is the closest to -1\/2? (a) k (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 247386*i**6 + 2320*i**2 + 2?\nAnswer: 29686320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3726 + -3723. Solve 0 = -a*h, 5*o + 2*h - 7*h - 15 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(1290564\/(-27456) - -47).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/28500 and 65\/24.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -29*m + 26*m - 5*x, 4*m = 2*x + 392. What is the highest common factor of 192 and m?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58591 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*w - k - 100 = -179*w, 2*k - 382 = -4*w. What is the remainder when 1057 is divided by w?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -545ab (base 15) to base 16.\nAnswer: -41687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 1017 + 2110 = 913 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*d**2 + 1203*d**2 - 304*d**2 - 284*d**2 - 310*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 268536574 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-52)\/10)\/((-14)\/280).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20b1a7 + 235?\nAnswer: -20ab72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 0, 7\/20, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12171 = 2*n + 3*c, -164*n = -169*n + 2*c + 30475. Calculate the remainder when n is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-4 + 2))\/2. Suppose 0 = -5*g - l*g + 40. Calculate the lowest common multiple of 7 and (g\/4 + -7)\/(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -3*i - 1\/6*i**4 - 1\/15*i**6 + 0 - 1\/5*i**5 + 0*i**3 + 0*i**2. Factor q(l).\nAnswer: -2*l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1. Let a(o) = 3*o - 17. Calculate -a(g) - 6*j(g).\nAnswer: -3*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22423071\/91 or 246407?\nAnswer: 22423071\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 39729 + 39729.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9579564 rounded to the nearest 100000?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 59605?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5 + 8*x**4 - 24*x**3 + 4*x**2 + 22*x - 12 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.6 or -7?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 56 = 5*t, 108*t + i + 7 = 113*t. Factor -2\/11*v**4 + 24\/11*v**3 + t*v + 0 - 72\/11*v**2.\nAnswer: -2*v**2*(v - 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -216581, -433145, -649695, -866231, -1082753, -1299261?\n\"Answer: 7*l**2 - 216585*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 90 = 40. Let f(l) = l**2 + 2*l + 2. Let j be f(4). Solve 4*m - j = -o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + 3 + sqrt(3))*6*-5 - ((sqrt(216)\/(sqrt(9)*-2))\/sqrt(2))**2.\nAnswer: -123 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*v - 7*v = 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13663 (base 8) to base 4.\nAnswer: -1132303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81554163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56697187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*d + 22*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -54*k - 22. What is the remainder when d(-4) is divided by 105?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*a = -21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 290*q + 33148920.\nAnswer: -5*(q - 2546)*(q + 2604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**5\/120 - n**3 - 7. Let t(q) be the third derivative of f(q). Let l(o) = 2*o**2. Calculate l(t(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 42*b**2 - 210*b - 67. Give n(14).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d**3*p**2 + 429457*d**3 - 191631*d*p**5 + 4*d*p wrt p.\nAnswer: 18*d**3 - 3832620*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5234?\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.0547, 0.1, 3 in ascending order.\nAnswer: -2, 0.0547, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186556 is divided by 741?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t - 2 + 2)*(3 + 2 - 2) + 1 + 2*t - 1 - 4 + 2*t + 4 + 3 - 3 - 2*t + 0*t + 3*t - t + (-4 + 4 + 2)*(2*t + 0*t + 0*t) - 4*t + 4*t + 2*t.\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 2*z**2 + 4*z**2. Suppose -7 = -3*y + 2*y. Let u(g) = -2*g**2. Calculate y*f(i) + 3*u(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 1892 + 2704. Let q = -310228\/135 - a. Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - a - 2*a + 2*a. Let c be b(4). Let v be (-5)\/((-20)\/c) - 6. Let z(m) = m - 1. Calculate z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 847\/54865, 4, -1\/3 in decreasing order.\nAnswer: 4, 0.5, 847\/54865, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 s when four letters picked without replacement from sppppppppspp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22542, 22995, 23470, 23967, 24486, 25027?\n\"Answer: 11*t**2 + 420*t + 22111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/3 + 48364*t + 877153686 = 0.\nAnswer: -36273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 76.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1124516, -1125518, -1126520, -1127522, -1128524?\n\"Answer: -1002*i - 1123514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*k = 2*r - 5, -k - 5 = 3*r. Let h(x) = x. Suppose 0 = i - 4 + 1. Let b = 0 - i. Let z(v) = -4*v + 2. Give b*h(p) + r*z(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9707 + 0.0293. Which is the closest to 2\/25? (a) 2\/13 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219475 is divided by 21947.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5400898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 2:53 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7207891 to the nearest integer?\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 2 + -1 + -6 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10932*a**4 + 5*a**5 + 80*a**6 - 3*a**5 + 10932*a**4 + 60*a**2 - 6*a + 453*a**6 wrt a.\nAnswer: 63960*a**3 + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 98*s - 102*s. Suppose 2 = -i + 2*i. Solve -c + 4 = -i*l, 5*c - 4*l - s - 10 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 348491 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 245*g**3 + 6*g**2 - 13*g - 12. Give v(-1).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 2*n + 3*n + (1 - 1 + n)*(2 - 1 + 0) - 23*n + 128*n + 87*n - 3*n + 2*n - 2*n)*(2*n + 2*n**3 - 2*n)*(-3 - n + 3).\nAnswer: -378*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - (3 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let p(k) = 2*k**2 - 236*k. Calculate p(r(b)).\nAnswer: 8*b**4 - 472*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15630 + 15570 = 60*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8670, 17340, 26010, 34680?\n\"Answer: 8670*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 - 504*v + 2570 = 0. Calculate v.\nAnswer: -257, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 4*q - 8 = 0, 0 = -f + 602*q - 599*q - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.021 - -22271.\nAnswer: 22254.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgpg when four letters picked without replacement from gggpgpggpgg?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/(471*5\/(-4)). Suppose 11*f + 1 = 8 - 7. Is x less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 3. Let a be r(-4). Find the first derivative of 19*k + 7 + 2*k - a*k wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (0\/4)\/5 + 2. Suppose x*k - 3*k + 130 = -3*y, 2*k - 275 = y. Calculate the remainder when k is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-1\/3))\/(f*f**5*f))**27 assuming f is positive.\nAnswer: f**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 4. Suppose 0 = 5*j + 16 + 4. What is r(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*a*v**3 - 13953*a*v**2 - a*v - a - 30*v + 470 wrt v?\nAnswer: 66*a*v - 27906*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Suppose -16*p + 31 + v = 0. Let i be 2 - -1 - (0 + 0). Sort p, i, 0 in decreasing order.\nAnswer: i, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 656\/15)\/2. Let a = -8159\/105 - p. Let c = a + 98. What is the closest to 6 in 0.1, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 8*q + 2. Let m be k(8). Suppose -m*b = -0*b - 8. Suppose 0 = -b*x - t + 13, 2*x + 7 = -0*x - 5*t. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 1805.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*u - 242. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.728083271 to 3 decimal places.\nAnswer: -0.728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s, -a + 5*a + 5*s = 9. Let j be 1\/3*0 + 2. Suppose g = j*g. Is g at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d - 45 = -36*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3059*t = -3046*t - 858. Solve -t*o - 12 = -62*o + 4*m, -5*o - m = 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 23267772?\nAnswer: 69803316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 18. Let g = n - -25. Calculate the least common multiple of g and (3 + -1)\/(1\/2).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056024613 rounded to six dps?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 2*k + 0)*(25*k**4 + 27 - 27) + 2*k**5 - 7*k**5 + 2*k**5 + (k**5 - 6*k**5 + 3*k**5)*(-4 - 1 + 3).\nAnswer: 51*k**5 - 50*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 2934983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let k be y(-4). Suppose -4*f = -f + 3*t - 33, -76 = -k*f + 4*t. Let b = -43 + 46. Solve 4*r = -b + f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7856470638?\nAnswer: 2, 3, 101, 211, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14638792577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 2. Let o be (5*49\/35)\/((-1)\/5). Let l = o - -23. Let m(g) = g**3 + 12*g**2 - g - 8. Let t be m(l). Give v(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = 4. Solve -4*x = -5*i - 22, -x - 2 = l*i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o + 368. Let s = o + -53. What are the prime factors of s?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:11 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*r - 54, -5*g - r + 6*r = -0*g - 0*g + 209 - 129 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108521842 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 82, 1\/8, -0.6, -71?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/25 - 8\/30. Let f = 272 - 295. Which is the smallest value? (a) f (b) -2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 2*w)*(-4 + 3 - 1) - 3*w + w + w + w - 2 + 2 + 0 + w + 0 + 2*w + 0 + 0 + (2*w + w - 4*w)*(2 + 0 - 4) + 3 + w - 3 - w + 84*w + 66*w.\nAnswer: 153*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92850 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:59 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1694010 is divided by 4896.\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 8631 = -5*l + 3*q, -4*l - 5*q = -11504. List the prime factors of l.\nAnswer: 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572 - 5907 = -5*p. Suppose 777 = 3*w + 4*o, 6*w - 5*o = 2*w + p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 2*n - 80. Let g be y(10). Let k(i) = i**3 - i**2 - i - 56. Calculate k(g).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 - 4*z - 7. Calculate j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -94, -225, -448, -787?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let i be ((-2)\/4)\/((-3)\/12). Calculate the remainder when 3 is divided by x(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10028*i + 60201. Calculate h(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216152 and 3116?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9070377738792 + 0.3\nAnswer: 9070377738792.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333 + -3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -834 divided by 4\nAnswer: -417\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6615.6 + -6616. What is the closest to -1 in 547, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4 - 0)*-2. Suppose u*b = 5*b + 68. What is the smallest common multiple of b\/(-10) + 4\/(-10) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:53 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 994000534*b**2 - 1725797*b + 33 wrt b?\nAnswer: 1988001068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*u - 5*y, -2*u + 128 = 2*u - 3*y. Let c be (7 - 13)*(1 + -2). Suppose u*o = 34*o - c. Solve -o*n = 9, -t + 6*n + 19 = n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595*s*w**3 + 164639*s*w - 27*w**3 - 1154123*w**2 + 4 wrt s.\nAnswer: 595*w**3 + 164639*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (8 - 9 - (-1 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 - 71*s**2 - 38*s - 100. Give m(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 14 = -5*j, 0 = 178*d - 179*d - 3*j + 22. Which is the smallest value? (a) -3765 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9094366 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31502364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10) - (-4)\/((-24)\/(-63)). Suppose -n + 2*s + 196 = 0, m*n - 560 = 8*n - s. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. Let w = 10 + -6. Suppose w*a - 17 = 35. Solve 0*u + 7 = v*o + 3*u, o - 4*u + a = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -10?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 2, y: 4, z: 3}. What is prob of sequence zzkk?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Find the first derivative of -g**4 - 6*g**4 - 2 + 4*g**l wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21)\/9)\/((-2)\/6). Suppose n = -2*b + 127. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 4*sqrt(20)*-1)\/((2*sqrt(44))\/sqrt(11)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 12*l + 15. Let b be t(-11). What are the prime factors of -144*(b\/(-8) - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 500344.26 - 500344.236102043. Let a = n + -0.0239. What is a rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 2199*l**3 + 2*l.\nAnswer: 2199*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/2049121 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5506675 (base 8) to base 3.\nAnswer: 2210002112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 57*f**2 - 2*f. Let z(g) = -4*g**2. Let d(k) = 5*k**2. Let y(l) = 5*d(l) + 6*z(l). What is y(b(a))?\nAnswer: 3249*a**4 - 228*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17338*x + 29786*x + 622400 = 0 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15542 divided by -38.\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -892 + 2596. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*a - 52, 0*a - 5*w - 104 = -4*a. What is the remainder when 4\/((-16)\/(-516))*1 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 6*m**2 + 6*m - 3. Let q(g) = -3*g**3 + 17*g**2 + 17*g - 9. Let j(n) = -n**3 + 18*n**2 - 2*n + 30. Let r be j(18). Give r*q(u) + 17*i(u).\nAnswer: u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v + 23*v - 194*v**2.\nAnswer: -194*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -33140*((-76)\/40 - 9\/(-6)). What is the thousands digit of (38\/(-152))\/(26510\/o + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/10 + w**4\/24 + w**3\/6 + 5*w**2. What is the units digit of a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6928 is divided by 210.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2078*k + 2083*k = -15, 4*k + 12 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-2 - (-2 - 1)) + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -2.68 (b) 1 (c) -7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -70*i**3 - 7*i**2 - 4*i - 1. Let d be z(-2). Calculate the greatest common factor of 14 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152.256 - -152. What is q rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3303321 (base 5) to base 12.\nAnswer: -2899b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5787 by -9.\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3455\/3213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2505\/10)\/(-4 - 26\/(-8)). Let u be (0 - 1) + 313*-2. Let h = m - u. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4262051.\nAnswer: 4262051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -117962731 at most -117962731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18530759 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17817967794 - 17817966015.4138767. Let l = 1236.58612808 - q. Let v = 542 + l. What is v rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14642558 and 895.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3, -5638, -0.3, -0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 - 195 = -5*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 1:17 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 628415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 59*g**2 - 92*g - 212. Determine l(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 105. What is the hundreds digit of g\/(-8) + (-51961)\/(-104)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36535029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 4*w + w. Suppose -10842 - 27270 = -1442*i + 21010. What is the highest common factor of i and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 4:50 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -3. Let k be (2*2 - 2)\/(90\/(-135)). Let j be 16\/(-6) + (k - -7). What is the second biggest value in 0, j, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1262, 1, -5, 0, -4 in ascending order.\nAnswer: -1262, -5, -4, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 228\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(20\/792))\/(-2). Let o = 169 - r. Calculate the least common multiple of o and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 9435*l**2 + 5*l**3 + 9435*l**2)*(0 + 1767*l - 1754*l - 4).\nAnswer: 65*l**4 - 20*l**3 + 39*l - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.559793 millilitres to litres.\nAnswer: 0.008559793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5212, 20818, 46836, 83272, 130132, 187422, 255148, 333316?\nAnswer: 421932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 13*q - q. Let h(s) = 129*s**2 - 2 + 2 - 127*s**2 - s. Determine h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 0 (c) -80\/71 (d) -1\/131 (e) 1 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - (14 + -16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 99184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-180)\/(-27))*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 0 + 1)*(0 - 4 + 3) + (59 + 54 - 125)*(0 + 2 - 1))*(-2*r + 4*r - r) as x*r + y and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 111151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 46 = 5*h, 2*h - h - 6 = 2*f. Suppose -2 = 6*y + h. Calculate the remainder when 2*(y + 1) + (-276)\/(-4) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -10. Suppose 19 - 4 = d*x. Suppose 0 = m - 2*o + 15, -4*m - o - x = 2*o. Is -6 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 8, 1360 in descending order.\nAnswer: 1360, 8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/60 - 5*w**4\/24 + w**3 + 762*w**2 + 2. Let l(n) = 5*n**2 + n - 1. Let m = -4 + 5. Let z be l(m). Give f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8*q + 2*u + 770 = 0, 0 = 5*q - u - 1295. Suppose -q*i + 254*i = -2118. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 35. Determine g(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s. Let x be 1*-6*(-175)\/42. Suppose -x = 5*b - 0, 11 = 4*y + b. Let h(i) = -11*i**2 + 8*i**2 + y*i**2. What is h(d(j))?\nAnswer: 100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*b - 34, 5*z = -10*b + 5*b + 145. Suppose 21*p = z*p - 57. Solve 5*j - p = -0*c + 2*c, -3*j + 2*c + 9 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10646138.\nAnswer: 2, 97, 54877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 15.36\nAnswer: 61.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 29*c**2 + 32*c + 91. Let o be w(-30). Suppose -15704 = o*i - 103837. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01177093916 to six decimal places.\nAnswer: -0.011771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8219175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-4)\/a*a)*a\/a**(-17))\/((a\/a**(-4\/7))\/a)**(-1\/10))**(-41) assuming a is positive.\nAnswer: a**(-33087\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllll. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/7 + 646*k**4\/7 - 3*k**3\/7 - 1940*k**2\/7 - 1292*k\/7 = 0. Calculate k.\nAnswer: -646, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12604 + 24611. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21165476723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**3 + 7*n**2 + 5. Let l(j) = -5*j**3 - 4*j**2 - 3. Give 5*l(b) + 3*u(b).\nAnswer: 8*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750515, 750455, 750395, 750335, 750275, 750215?\nAnswer: 750155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.337 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263593 (base 12) in base 10?\nAnswer: 9586047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7660 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1510 + 1465. What is the second biggest value in -4, x, -0.21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. Sort z, 4, -2, -3 in increasing order.\nAnswer: -3, -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30859835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286 + -284. Let u be 400\/(-500)*(-10)\/v. What is the nearest to -14\/3 in 3, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 250 + -247. Suppose -r*p - 845 = -2*a, -4*a + 5*p + 2413 = 728. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssssnsssssrssnssns.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*y = -25, -143*d - 2*y + 35 = -138*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-1 - -4) + 3 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.25271 meters in micrometers?\nAnswer: 9252710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-6) + (4 - (-24)\/(-3)). What is the third smallest value in 0.1, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36240*i**4 + 2*i**3 - 1559*i + 21 wrt i.\nAnswer: 434880*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9668591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2365 minus -22555.982175?\nAnswer: 22558.218675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -51. Suppose p*n = 19*n - 30. Differentiate -14*x**4 - 53*x**2 - 16 + 53*x**n wrt x.\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185059 less than 185061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*m - 144, 0 = -3*m + k + 77 + 55. Let o = 6 + m. Let t = o + 123. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + 2*q**2 - q**2)*(-3*q - 2*q + 4*q) + q**3 + 6*q + q**3 - 3*q**3 in the form b*q + w*q**2 + o*q**3 + r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 232.\nAnswer: 3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -70. What is the smallest common multiple of 4 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113.5*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -110.01. Put -13, 4, q in descending order.\nAnswer: 4, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+6.843109629021\nAnswer: 7.043109629021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*r + 30, 4*j = 3*r - 63 - 48. Let m = j + 39. What is the greatest common divisor of 48 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 1. Suppose 14 - 54 = -5*n. Let y = 12 - n. Determine x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1070 = i, 0 = 2*i - 4. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + n**2 - 2*n - 1. What is s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 2. Let s(g) = 2*g**2 + 9*g - 10. Let d be s(-7). Let z = d + -23. Determine n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, -63, 3 in increasing order.\nAnswer: -63, -5, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -423, -3\/5, 3\/4?\nAnswer: -423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2489591517.\nAnswer: 3, 7, 317, 373981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*j + 48, 0*j + 2*j + 34 = -4*g. Let x be 17\/g - (-2)\/9. Let h = -2 - -8\/5. What is the closest to 2\/3 in 0.5, h, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3420086 and 79402?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + n - 2 - 6*n - 1.\nAnswer: -11*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 187?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28611 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + r - 368 = 0. Let q = -43 + r. Suppose q*y = 391 + 566. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 550 - 557 = 36*z, 52 = -4*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108185*o + 108051*o + 8844 = 0 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -20 - (-1 - (-1 + 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43d (base 15) in base 3?\nAnswer: 1022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 1010001001011101001?\nAnswer: -1010001001011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*a**2*d**3 + 44*a**2*d**2 + 5*d**3 + d**2 wrt d.\nAnswer: 354*a**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3\/9 - 80*i**2\/9 - 68*i\/9 + 152\/9 = 0. What is i?\nAnswer: -19, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, -0.3, 0, -12\/7 in decreasing order.\nAnswer: 0, -0.3, -12\/7, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49.65370435 + -49.655. What is w rounded to five decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2. Suppose -y = -k - 204, 0*y = 2*k + 3*y + 433. Let d(c) = -23*c - 4. Let b(o) = 1197*o + 209. Let q(r) = k*d(r) - 4*b(r). Determine q(v(g)).\nAnswer: -38*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/13)\/(q*q**15*q) assuming q is positive.\nAnswer: q**(-218\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 9 + 2 - 26 + 10)*(-17*n + 17*n - 4*n**3) as v + g*n**3 + l*n**2 + u*n and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*m - 225*m = 7*t - 8, 2*m + 5 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 10*n + 120 = -120 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*r**5 + 4\/3*r**4 + 0*r + 0 + 5\/3*r**3 + 2\/3*r**2.\nAnswer: r**2*(r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g. Let t(n) = -11*n**2 + 4*n. Calculate r(t(d)).\nAnswer: -33*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2862 - 10527. Let m = 168659\/22 + g. What is the common denominator of m and (77\/(-6))\/(2\/(-3))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/7 + (-17)\/7. Let l be 3 - (x - -2) - 2. Let n be (47 + -46)*(0 + 7). Sort n, l, 5 in ascending order.\nAnswer: l, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -8 + -7 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 2213.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-8)*0)\/(-2). Let o(j) = j**2 + 9*j + 803. What is the units digit of o(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (9\/(198\/(-110)) + 344\/26).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46479 + 15794. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 15*q - 381 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 2*y**2 + 2*y - 2. Let d(m) = 5*m**3 - 4*m + 10 + 11*m**2 - 4*m - 3*m. Suppose 2154*g + 94 = 2147*g + 17. Give g*r(l) - 2*d(l).\nAnswer: l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 - 2 - (2 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13239731 less than or equal to -13239734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 68031 divided by -9\nAnswer: -7559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 105269 + 38469 = 0. Round n to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451135 (base 7) in base 12?\nAnswer: 3a117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*p - 175, -140 = 2*j - 6*j + p. Calculate the remainder when 102 is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 11, 6, -1, -2 in descending order.\nAnswer: 11, 10, 6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c2c32 (base 13) to base 6.\nAnswer: -131122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1324?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21*1)\/(6\/28). Let j = 176 + o. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*l + 38 = -2*s + 1387, 2*s + s + 13 = -4*s - 2*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scwjjcwwwcwswwwswwj. What is prob of picking 1 s and 2 j?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-14)*l**(1\/39))**(-47) assuming l is positive.\nAnswer: l**(21949\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 242, 388, 522, 638, 730?\n\"Answer: -y**3 + 153*y + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 13*w**6\/6 + 23*w**3\/3 + w - 15. Find the second derivative of m(y) wrt y.\nAnswer: 780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(-17)*(i\/(i**1\/i))\/(i*i\/(i**(-5)\/i)))\/((i*i*i\/i**(1\/2)*i\/(i**6\/i)*i)\/(i*i**(-4)*i**(-4))) assuming i is positive.\nAnswer: i**(-121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 857 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j - 1. Let y be q(-1). Let k be (-6)\/((-1)\/(10\/6)). Suppose -66*l + k = -64*l. Let t(u) = 4*u - 1. Let o(x) = -3*x + 1. Give l*t(c) + y*o(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5)\/(((-3)\/(-20))\/((-498)\/(-1328))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/38 - 7\/19. What is the second smallest value in 1, a, 25\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38942*q - 4*q**2 + 140 + 38946*q + q**2.\nAnswer: -3*q**2 + 4*q + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-8)\/(-80)). Let y be 72\/20 + (-2)\/u. Solve -l + y = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/667 and 37\/29.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-97148.8.\nAnswer: 2525868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-6))**(-41))**(-8))**(8\/3))**(-15) assuming n is positive.\nAnswer: n**78720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -619, -1018, -1405, -1774, -2119, -2434, -2713, -2950?\nAnswer: -3139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15469154 to the nearest integer?\nAnswer: 3933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.883 - 0.117. Let q = 54 + h. Which is the closest to 1? (a) q (b) 2\/9 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4 - 1) + -7 + (-31)\/((-93)\/(-222)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244126774.\nAnswer: 2, 122063387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -15\/8 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 34. Calculate the remainder when ((-64)\/2)\/(18 - (-55)\/(-3)) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/33 and 143\/6576.\nAnswer: 72336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 14, -3, -5 in descending order.\nAnswer: 14, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -325 (b) 0.1 (c) -555\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1782 - 196. List the prime factors of w.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814678 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/2 + 1823*n**4\/4 - 915*n**3\/4 - 2735*n**2\/4 + 913*n\/4 + 228 = 0.\nAnswer: -912, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 2, y: 1, m: 6}. Give prob of picking 1 y and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/(-30)*8\/(-6) + -4. Let w(o) = -o**3 - 5*o**2 - 3*o - 2. Determine w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13097*k**5 + 2*k**4 - 232*k**2 - 36 wrt k?\nAnswer: 785820*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = 3*b - 28, -5*b = 3*g. Suppose -5*m = -w + 1, b = -5*w - 5*m + 38. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 4. Let u = -1 + -1. Let s = 12 - 12. Which is the biggest value? (a) s (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*i + 4)*(-4 + 3 - 1).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7758608 is divided by 2930?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*g = -33*g + 1460 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-21)*(-10)\/(-6)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.2242 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -302*w - 221*w - 1268*w + 264*w in the form v + l*w and give l.\nAnswer: -1527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -64. Solve 3*n = -m - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/1815 - -49367\/1815. Let v = f - 28. What is the second biggest value in v, 1\/3, 6\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/4 + 14*a**3\/3 + 13*a**2\/2 - 17*a + 100. What is the hundreds digit of t(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 325.102 - 325. Let b = z - 0.10201886. Round b to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1750 (base 14) to base 13\nAnswer: -1ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16076?\nAnswer: 2, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1266972?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 2 - 3*k**2 - 3*k + k - k + 0. Let n be c(4). Find the third derivative of -2*g - g - 2*g**6 + 3*g - 3*g**n wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2712 + -2712.3. Which is the second smallest value? (a) 0.08 (b) 1 (c) h (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 43 and -1694348.\nAnswer: -1694305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 2*v + 1. Suppose 5*m - 3*m = 0. Suppose -5*f - g = -m*g - 5, 5*f = -3*g + 15. What is the units digit of u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*-6 + -3. Let y(m) be the second derivative of -1\/15*m**3 - 2*m + 0*m**4 - 1\/105*m**7 + 0*m**6 + q*m**2 + 1\/25*m**5 + 0. Factor y(s).\nAnswer: -2*s*(s - 1)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412 * 0.5\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**15)**(-47)*(p**(-3\/2)\/p)**(-30))**36 assuming p is positive.\nAnswer: p**26388","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icqiuwqqciqwiiciqq. Give prob of picking 3 i.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.1. Let y = 0.04 + -0.14. Let v = i - y. What is the third biggest value in 0.3, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.022 + -0.978. Which is the second biggest value? (a) f (b) -1\/3 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35360071.\nAnswer: 139, 254389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert f (base 16) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185079 is divided by 3191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014500522 to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 25. Let o be r(-14). Solve v = -6*j + j + 6, 0 = 4*v + o*j + 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -642.28 - -648. Round i to one decimal place.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 45 = -9*o. Suppose 54*b - 315 = o*b. Calculate the remainder when 64 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:23 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + 3 + sqrt(171) + 3 + -1*(sqrt(171) + -1))**2 + (1 + -2 + sqrt(171) + 4 + sqrt(171))*3)*-6.\nAnswer: -4452 - 612*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 - -3. Let u = 104 + -105.1. Let q = h + u. Which is the nearest to q? (a) 2\/19 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/5 - 94*j**3 - 110107*j**2\/5 - 732856*j\/5 + 640428 = 0. Calculate j.\nAnswer: -166, -10, 3, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**2 + 50*l + 4. Let b(r) = -4*r. What is b(t(i))?\nAnswer: 32*i**2 - 200*i - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-one fifths of a microgram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2354 and 2131734?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-8))\/(306\/(-952)*14\/12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 25 - 32\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 10*z - 19. Let n = 136 - 77. Suppose 9*d = -4 - n. List the prime factors of v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8302664?\nAnswer: 2, 17, 41, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31, 127, 303, 571, 943?\n\"Answer: 2*i**3 + 28*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**28)\/(k**28*k) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**2 - 3*o**2 - 79 + o**2 + 9*o**2 + 6*o**2 as j*o**2 + p*o + h and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 144*x - 457. Let n(h) = 78. Give 6*n(t) + q(t).\nAnswer: 144*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 243 = -3*m, g - 379 + 131 = -2*m. Calculate the remainder when g is divided by ((-671)\/122)\/((-1)\/12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1455\/165 + 2\/11. Suppose q + 6*f = y*f + 148, -5*q = f - 756. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12)\/((((p*p*p*p\/p**(-12))\/p)\/p)\/p))\/((p\/p**6*p)\/(p**(-2\/23)\/p)) assuming p is positive.\nAnswer: p**(-508\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:25 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(2 + sqrt(171)) + (sqrt(684) - (-4*sqrt(684)*1)**2) + -4.\nAnswer: -10934 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*p = 75*p + 320. Solve 3*d - p*f - 8 = 0, -2 = 2*d - 4*d + 2*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from bfqqbqmuffuo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -16, 5, 1, 13 in decreasing order.\nAnswer: 13, 5, 4, 2, 1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 195\/83, 8, 0.02 in descending order.\nAnswer: 8, 195\/83, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3575, 10144, 16717, 23294?\n\"Answer: 2*b**2 + 6563*b - 2990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-19)\/133)\/((-3)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2527 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + 6 + 4 - 8 - -1022 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2))**(23\/3)*i**(-1)\/((i**(-2)*i)\/i) assuming i is positive.\nAnswer: i**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -2)*(6 - 3)*-24. Suppose w + 278 = 7*l. What is the lowest common multiple of 30 and l?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l**2 + 7*l**4 + 190*l**3 - 544220 + 13*l**2 - l + 544221 to f*l**2 + c*l + z + w*l**3 + d*l**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*a**4\/4 - 15*a**3 + 36*a**2 - 16*a = 0. Calculate a.\nAnswer: 0, 4\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 28*t - 191. What is r(-36)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 56817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1653 = -5*k + 2337. Suppose 2*i - 156 = 2*u + 166, 2*u = -5*i + k. Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 39. Calculate the remainder when 9 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 8.5. Let t = -35.5 + 46. Let o = p - t. What is o rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*s + 516 = 2595 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.9999991. Round q to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y. Let n(m) be the second derivative of 0 + 1\/4*m**4 + 0*m**2 - 2*m + 0*m**3. Calculate n(g(a)).\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -42) + (0 - 4) - 9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 23*i + 230. Let p = -375 - -365. Let o be t(p). Factor -3\/4*h**5 - 15\/4*h**4 - 6*h**3 + 0 - 3*h**2 + o*h.\nAnswer: -3*h**2*(h + 1)*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (-52 - -27)) + (0 - (1 - 3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 15*k**2. Let u(w) = -2*w**2. Determine v(u(a)).\nAnswer: 60*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6257, 375, -5507, -11389, -17271, -23153?\nAnswer: -29035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41056 is divided by 436.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2073 and 1.593.\nAnswer: -3302.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**3)))**(1\/19)*(s*s**(-4\/27)*s)\/(s**(-16\/7)\/s) assuming s is positive.\nAnswer: s**(18071\/3591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -485*f**2*k**3 - 2*f**2*k**2 + 94*f*k**5 - 72*f*k**2 + f*k - 27*k**2 wrt k.\nAnswer: -2910*f**2 + 5640*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/((-4)\/6). Let p be -289*(-2 - (-34)\/18). Let d = -95\/3 + p. Is u bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y + l, y = -0*l + 5*l + 24. Let h = -1116 - -1117. Which is the smallest value? (a) h (b) 10 (c) y (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 59. Let w = u - -3. Suppose -w = -o + 105. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*q - 90 = -12, -a + 5*q = -30. Solve -a*b + 162 = 2*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1136408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/27840 and -131\/1044.\nAnswer: 83520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 239? (a) -2.1 (b) -13 (c) -0.7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*y - 5*m, -y + 4*m + 20 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 12*w + 26. Let g be f(9). Sort g, 4, -5, 2\/7 in ascending order.\nAnswer: -5, g, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -279, -508, -737?\n\"Answer: -229*g - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 3:20 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 136 + 7*o**2 - 136.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 109, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -10, -4 in decreasing order.\nAnswer: -4, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 52324 (base 6) to base 11\nAnswer: 5317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -673\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-52)\/78)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by 152?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**2 + 269*n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167*-662.\nAnswer: -110554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 t, and 1 z when three letters picked without replacement from {z: 1, t: 1, e: 4, m: 1, g: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1584) - (sqrt(11) + 5*(sqrt(11) + -5)) - ((-4*(sqrt(11) - sqrt(396))**2 - sqrt(11)) + (sqrt(704) + -1*sqrt(704))**2).\nAnswer: -65*sqrt(11) + 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*y = 183 - 183. Let u = -8 + 3. Sort -0.1, u, y in descending order.\nAnswer: y, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1))**(3\/26)\/((y**(-2\/19)*y)\/(y\/(y\/(y**(-9)\/y))*y)))**(-1\/17) assuming y is positive.\nAnswer: y**(2387\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4784423 is divided by 2299?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -437 - -436. Suppose -4 - 2 = 3*f. Suppose -4 = 84*i - 88*i. Put t, f, i in increasing order.\nAnswer: f, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 10\/3. Let p = -0.4 - -0.4. Is z >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 4*a + 83. Let h be z(11). Let g(s) = -s**2 + 8*s - 5. Calculate g(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/12*10\/25. Let i(m) = 17*m - 117. Let g be i(7). Which is the biggest value? (a) -1\/2 (b) 4 (c) r (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7039599 or -7039617?\nAnswer: -7039617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 2*k**3 + 0*k**4 + 5*k**2 - 9*k**2 - k**4 - 2 as x*k**3 + y*k**2 + j + f*k**4 + p*k and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 1. Let j(p) = 2*p - 16. Let c(z) = -g(z) + j(z). Calculate the remainder when 53 is divided by c(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21349895 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.5 (b) 42.1 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 9*o**2\/2 + 13*o + 29. Let u(b) = 5*b + 7. Let x(c) = -6*a(c) + 11*u(c). Determine x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 26, 1 in decreasing order.\nAnswer: 26, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11000101000110011011 (base 2) to base 10\nAnswer: 807323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 3851*u - 126935. Determine g(-33).\nAnswer: -941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 260703 bigger than 1042807\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -24 (b) 1416 (c) 1\/8 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 3, -2.6542, -3\/4, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3213 and 32844?\nAnswer: 295596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 5. Let l be o(-4). Suppose 8*m - 12 = 36. Let j be m\/(-3) + (-81)\/36. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, 0, 12701, 4.\nAnswer: -4, -3, -2, 0, 4, 12701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2593, -5190, -7789, -10390, -12993, -15598, -18205?\n\"Answer: -j**2 - 2594*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 9*k + 85. Let t be y(6). Let j(i) = 4*i + 5. Determine j(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*h**2*n**2 + 1149*h**2*n + 42*h*n**2 + h*n - 6*n**2 + 10*n wrt n?\nAnswer: 160*h**2 + 84*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/4)\/((-1)\/(-4)). Let o be (2 + (-7)\/2)*4\/6. Let h be (8\/(-6))\/o + (-4)\/(-6). Solve -x = -h*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1015013 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 - 308.999955. What is h rounded to six dps?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/(4*3\/48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22020 (base 3) in base 7?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8656, -19018, -29380, -39742, -50104, -60466?\n\"Answer: -10362*o + 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/13986 and 95\/35964.\nAnswer: 251748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3579)\/9*-3 + -1. Suppose -2341 = -5*z - 4*d, 5*z - h = 3*d + 1156. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 2. Let b be z(2). Let a be -3*((-165)\/(-9) - 1). Is 12 a factor of 4\/b*(a - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186.41 + 189. Let a = b - 0.65. Let r = 2 - a. What is r rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 2. Let q be (1 + 0)*(-3 + 4 - 5). Let l be -2 + 4 - (-1 + -1). Let r be -1 - (q + (l - 3)). Calculate g(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(-2 + 8 + 0)*(-4*z**3 + z**3 + 4*z**3).\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:29 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 51 = 0. Is v*(-29 - 1)*(-7)\/21 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17152623 or 17152622?\nAnswer: 17152622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52685 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggggpgpgggtggttgp. Give prob of sequence gt.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + 2 + -14 + 35 + -13 + (-6 - -1).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551545686?\nAnswer: 2, 3, 97, 35099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*p**3*u**3 - 122*p**3 - 3*p**2*u + 2*p*u**2 - 3*u**3 wrt u?\nAnswer: 78*p**3*u + 4*p - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 - 3*t**2 + 4*t - 4. Let r be y(2). Let j = -537 - -490. Do r and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + 49?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*g + 114*g = -480 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -a685c9 (base 13) to base 3\nAnswer: -21100021202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = g. Suppose 5*u - g*a + 10 + 5 = 0, -a + 8 = -2*u. Let y(v) = v. Give y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8140)\/(-3663))\/(8\/36)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 12:31 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, e: 1, n: 1, t: 4, z: 3, b: 5}. What is prob of picking 1 t and 3 b?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 99*x + 86. Let o be d(32). Which is the closest to -1\/3? (a) 7 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 57 - 353 = 0. Let b = 115 + h. What is the units digit of b\/9 + (-6)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 87 + 103 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*h = -90 - 83 + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -1.17.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 5*f + 0*f - f - 2*f + 4*f + (-f - 2*f + f)*(2 - 1 - 2))*(119 + 41 - 44) as m + k*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 10}. Give prob of sequence eeee.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189*c*p**4 + 2*c*p**3 - 270*c wrt p.\nAnswer: 756*c*p**3 + 6*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 58*y**3 + 35*y**2 + 47*y - 11. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(2\/3)))\/y**(1\/4))\/(y**(1\/4)*y**3*y)*((y*y\/(y*y**(2\/9)))**(-4))**(-2\/39) assuming y is positive.\nAnswer: y**(-3515\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40128397 and 11249?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpee when four letters picked without replacement from {j: 1, e: 2, p: 2, c: 1, y: 1, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + 0.008. Let v = k + -0.528. What is the nearest to -1\/3 in 4, v, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**3*v**2 - 401558*i**3 - 17*i*v**2 - 3*i*v - i + 8*v**2 - 1 wrt i.\nAnswer: 6*i*v**2 - 2409348*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.318644 times -1.1\nAnswer: -0.3505084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -246.53 + 246.830014. Let g = a + -0.3. Round g to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 590*u - 89*u**3 + 4 + 587*u - 1177*u + u**2 to l*u**3 + q*u + v*u**2 + d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -241305 - -4?\nAnswer: -241301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15920, 31824, 47714, 63584, 79428, 95240, 111014, 126744?\nAnswer: 142424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2709 and 1791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 32 + 7. Suppose -4*q - x + 12 = 0, q - 3 = 2*x - w*x. Solve 15 = q*o - 3*t, t - 3*t = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7047207\/377587 + -5990\/323. Let t = p + 4\/167. Let c be (1\/4)\/(2\/20). What is the closest to 0.1 in -0.3, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + n + 17. Let i(t) = 5*t**2 + 2*t + 26. Let z(u) = 5*i(u) - 8*y(u). Suppose -5*r - 12 = 13. Determine z(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16 + -7 + (-2740)\/(-120). What is the fourth smallest value in 2, 1\/23, m, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 7. Let z be f(-4). Let k be z + (-6)\/(-2) - -1. What is the tens digit of -8*(-1 - (3 + k))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqvvqxvrxrjrq. What is prob of sequence xxqr?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.05, 0, 0.09, -2, 18, 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8308)\/(-9412964)*(-44)\/(-10)\nAnswer: 2\/515","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/15860 and -10\/2379?\nAnswer: 47580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 298 + -1499\/5. Let y be 7 - (-66)\/(-55)*(-60)\/(-8). Let m = y - i. Which is the third biggest value? (a) 0 (b) 0.07 (c) 2\/11 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2) - (2 - 4). Let t(p) = 6*p**3 - 2*p**2 - 4*p - 3. Let b(a) = -5663 + 1888 + 2*a**2 + a**3 + 1886 - a - 2*a**2 + 1888. Calculate w*b(i) - t(i).\nAnswer: -2*i**3 + 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 m when four letters picked without replacement from zjrmmjmrzmmrzrmnjmr?\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 0 - (-39)\/(-6))\/(4 + -5). Put g, 5\/3, 140 in ascending order.\nAnswer: g, 5\/3, 140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.007056648*-1.6.\nAnswer: 0.0112906368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49 and -56\/33965181?\nAnswer: 33965181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/40964 and -59\/190.\nAnswer: 204820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 157\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -u + 539, u = x + 2*x - 317. Let p = -68 + x. Calculate the remainder when 148 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*z + 4 = h, -4*z + 10 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8372, 16743, 25104, 33455, 41796, 50127?\nAnswer: 58448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -115003*n + 229978. Calculate u(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2.5, -0.5, -3?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2528 divide 100925581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -32. Suppose -87 = -7*n - 10. What is the remainder when v is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17824164563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2080 and 17\/2080?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 0*u**3 + u**3)*(2 - 2*u - 2) + u**2 - u**2 - u**4 + 14*u**2 - 14*u**2 - 6*u**4.\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 1)*(42 + 6*v - 42)*(-1 - 2 + 1) - 4 + 4 - 2*v + (-3 + 3 + v)*(-2 + 4 - 1) - 2 + 2 - v as t*v + h and give t.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 + 0 = 0. Let v(b) = b**2 - 1. Let y be v(a). Suppose -2*o + 10 + 4 = y. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -7039537?\nAnswer: -7039536.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10)*(17 + -3)*15. Let w = -168 + i. Solve -6*b + 9*b + 15 = w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 370\/(-70))*(-21)\/(-6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1290429 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -172. Suppose -2*t - j + 35 = 0. Let f(c) = 11*c - 3. Let q(o) = 6*o - 2. Give t*q(p) + 3*f(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 9 = -3*s, -2*a + 948*s - 949*s = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:59 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 5423 = -24*f. Let k = 492 + f. What is the biggest value in k, -3, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27743423\/208300477 - -14\/142379. Let i = -2\/209 - u. Let r(o) = o**3 + 4*o**2 - 7. Let m be r(-3). What is the second smallest value in i, m, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkwkmwkkgpjkkk. Give prob of picking 1 j, 1 m, and 1 p.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 562*a - 32 = 558*a, 0 = w + a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 2*p**3\/3 - 1. Let j(t) be the third derivative of -t**5\/12 - 176*t**2. Give j(a(h)).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**3 + f**2. Let y be x(1). Let h(g) = g - 1. Let m be h(y). Suppose 0*t - 15 = -m*t. What is the highest common divisor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -175252 not equal to -175255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-2 + (-24)\/(-15)). Suppose 22*u = 24*u - 4. What is the second derivative of 2*l**2 + 4*l**2 + 7*l - u*l**r - 2*l wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Which is the third smallest value? (a) -5 (b) -5\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 at least -241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/12, -0.5, 1\/6, -19?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -2941*m**4\/2 - 6233*m**3\/3 - 3121. What is the third derivative of y(l) wrt l?\nAnswer: -35292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j - 122. Let t be g(10). Let m = t + 205. Solve -5*d + 12 = -m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -23. Suppose c = -2*y - c + 10, 4*y - 4 = 4*c. Sort 1, r, y.\nAnswer: r, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2675 - -2666 - ((-2 - 0) + 22)\/1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(5*n - 3*n - n) - 10 - 1 + 10 - 55*n + n - 2*n + 3*n.\nAnswer: -56*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3436 - -3012. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210261, -214561, -218871, -223197, -227545?\nAnswer: -231921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-212)\/(-12)*(-7 + 22)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 13. Let r(d) = 2*d**2 + 71*d + 2. Calculate f(r(i)).\nAnswer: -2*i**2 - 71*i + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 - h + 1. Let p be q(2). Let g = 0 - p. What is the second derivative of 4*z**5 + 1 + z - g + z wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 112. Let t be n(-37). Suppose 10 - 2 = -4*f. Is (f - t)*-4 + 4 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a**4 - 2*a**2 - 3 - 7*a**4 + a + 4*a**2 - 3*a to p*a + m + u*a**2 + q*a**4 + r*a**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/7, 4, 0, -409, 11 in descending order.\nAnswer: 11, 4, 0, -1\/7, -4, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**5 - v**4 - v**2. Let i(n) = -32*n**5 - n**4 - n**2 + 25*n. Let s = -92 + 91. Let u(o) = s*x(o) + i(o). Find the second derivative of u(j) wrt j.\nAnswer: -620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*m - 25*m - 14*m - 5*m**3 + 12*m**3 - 37*m as f*m**2 + n + y*m + s*m**3 and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/61, -1\/5, 1, -149.\nAnswer: -149, -1\/5, -2\/61, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1397c8 (base 13) to base 16.\nAnswer: -74b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Let q be (o - -5)*(-2 + 3). What is the units digit of 4\/10 - (-23)\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -4*x + 4*x. Suppose 2*w - t + 2*t - 344 = x, 4*w - t = 694. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/258727 and 37\/16261.\nAnswer: 26131427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/336 - 45\/(-240)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 515?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 271*p - 1345. Let x be k(5). What is the greatest common factor of x and 2880?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -12*c - 12. Is 14 a factor of (c\/6)\/((-34)\/4947)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59615985 by 33.\nAnswer: -1806545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/8*(-40)\/(-90)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + (sqrt(475) - 4*sqrt(475)*-2) - 6*(sqrt(475) + sqrt(475)*-1)) + 1 + -2 + 3*(sqrt(475) + -1 + sqrt(475) + 1))**2.\nAnswer: -160*sqrt(19) + 121601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*t - 6. Suppose 0*p = -t*p + 312. Suppose -s + p = 23. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 27*z**6\/40 + z**5\/60 + z**4\/12 + z**3\/6 - z**2. Let h be y(-1). Let s = h + 21. Round s to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -1078*o**5\/9 - 6188*o**4\/9 - 11248*o**3\/9 - 5216*o**2\/9 + 2336*o\/9 + 64\/9 = 0?\nAnswer: -2, -2\/77, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*g + 72 = 0, -2*x - 2*x - 3*g = 97. Let s be (6\/(-15))\/(2 + x\/10). Find y, given that 2\/3*y**4 + 0*y**3 + 2\/3 + 0*y - 4\/3*y**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3409 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(-2*r + 4*r - 3*r)*(-2*r**4 + 3*r**4 - 2*r**4).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1644 - 14801\/9. Sort o, 2\/5, 2, -0.03 in decreasing order.\nAnswer: 2, 2\/5, -0.03, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 5 (b) -3\/4 (c) 10 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -528*l - 486*l + 1042*l - 453 to the form u + o*l and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1*((-45)\/(-10))\/(-9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {m: 5, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*d - 290*d - 1630*d - 1174*d.\nAnswer: -3007*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 8\/11, 5, 0 in descending order.\nAnswer: 5, 1, 8\/11, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 169315 bigger than 169436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 378729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 30 = -5*q, 0 = -4*q - u + 9 + 20. Factor -y**2 - 3*y**2 - q*y**3 - 38*y**4 - y**3 + 34*y**4.\nAnswer: -4*y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011110 (base 2) in base 14?\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(2\/7)\/q)\/q**(-5))**(-12) assuming q is positive.\nAnswer: q**(-528\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 64. Let q be t(13). Solve -q*p + 75 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/48 - 1)\/((-20)\/(-16))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*j + 445 - 77 = 269*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 9. Let d(z) = -z**3 + 4*z**2 + 2*z - 3. Let f be d(4). Let m(l) = 3*l - 8. Let a be m(f). Give w(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-7))\/((-80)\/(-70)). Let l = 42 - 13. Which is the closest to -2? (a) r (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or -939\/11?\nAnswer: -939\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*10\/(-20) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = 2*o + 6, 3*o + 5*s - 1 = 0. Let n(k) = 2*k**2 - 39*k + 19. Let x be n(19). Suppose -2*u - 9 + 17 = x. Solve u*f - 1 = o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3923995, 3924004, 3924013, 3924022, 3924031?\n\"Answer: 9*v + 3923986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + b = -105. Suppose 2*f + 17 = b. Which is greater: f or -4\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*b = 628*b - 57155 for b.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2255*a + 2936*a - 7561*a - 3262*a - 772*a.\nAnswer: -10914*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 85\/75 + -5 + 4. Determine b so that 2\/15*b**4 - 2\/15*b**2 - a*b**5 + 0 + 2\/15*b**3 + 0*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 35*c - c)*((-c - 4*c + 2*c)*(-1 + 0 + 0) + 0*c + 3*c - c) + 7*c**2 - 6*c**2 + 18*c**2.\nAnswer: 194*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333220 - -1212?\nAnswer: -332003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -2*n, 0 = -2*a - n + 415. Let m = a + -189. Solve y = 5*d - 4*y + 5, -3*d = 3*y - m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -230 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41418420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/52619 or -1.103?\nAnswer: -1.103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217417?\nAnswer: 19, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - (4 - -26))*(-32)\/(-28)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -89345?\nAnswer: -89344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(0 + -3*(-3)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 - -109) + (38 - 152).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 963\/143 - 135\/11. Which is greater: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -20*n + 3. Let z be w(-5). Let a = -46 + z. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a1f0 (base 16) in base 11?\nAnswer: 29168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-847)\/(-968)*4\/14\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:24 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. What is the second derivative of z**3 + 3*z + z - 2*z**j - 2*z**3 wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 80 (b) -5 (c) 28 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 0 - (-14)\/(-1). Let z(w) = w**3 + 10*w**2 - 14*w + 16. What is the units digit of z(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034071 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/4 - 726*n**4 - 702768*n**3 - 226759808*n**2 = 0 for n.\nAnswer: -968, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*v + 14, -8*v + 10*v + 18 = 4*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 72 = 3*n, n = -5*i + 49 - 6. Suppose a + 4*q + 0*q = n, -44 = -3*a - 2*q. Suppose a = 3*p + 3. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3934632 and 236077920?\nAnswer: 236077920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*d*x**3 - 37632*d*x + 8*x**4 - 3*x**3 wrt x.\nAnswer: 48*d*x + 96*x**2 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppe. What is prob of picking 1 p and 1 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -3717, -12241, -28717, -55779?\nAnswer: -96061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163505 is divided by 1146?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(2*u + 0*u - 4*u)*(-2 - u + 2)*(-121*u + 121*u + 11*u**2) - u**4 - 3*u**4 + 5*u**4.\nAnswer: -43*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 3. Let z(k) = -k + 4. Let w(l) = -6*l**2 - 262*l - 169. Let u be w(-43). Calculate u*f(t) - 2*z(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111011 - -1101111111?\nAnswer: 10010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q*t**3 - q*t**2 - 233*q*t + 1767*t**4 + 3*t wrt t.\nAnswer: -6*q + 42408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 10, 1, -3.\nAnswer: -3, 0, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 104 + 337. Solve -7*d = -0*d + q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2233332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 31, -45, 4, -10 in decreasing order.\nAnswer: 31, 4, -4, -5, -10, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17803757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k. Let n(m) be the second derivative of 0*m**3 + m + 0 - 1\/2*m**2 + k*m**4 + 3\/20*m**5. What is the derivative of n(g) wrt g?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:34 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 1, b: 5}. Give prob of picking 1 b and 1 z.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 436*w - 15411. What is v(-33)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 81*l - 12*l to k*l + t and give k.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.81333894 from -340.\nAnswer: -346.81333894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, 44 in decreasing order.\nAnswer: 44, 28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12595840)\/(-256)*3*(-2)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h - 123*h**2 + 392*h**2 + 469*h**2 + 1094*h + 107*h**2 wrt h.\nAnswer: 1690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2.5. Let q = -0.056 + -0.644. Let s = 224 + -221. Which is the closest to 0? (a) v (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/9 + 8*p**3\/3 - 32*p**2\/3 + 128*p\/9 = 0. What is p?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 2. Suppose -4*s + 2*s + 28 = 0. Suppose v - j = 2, j = 3*v + 2 - s. Let m(w) = -w - 3. Give v*p(d) - 4*m(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = 3*k. Let b = k - 4. Suppose b = d + 5*t - 13, 2 = t - 1. Which is bigger: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose z*s - 4*s = -6. Suppose 3*i - 2*m = i + 6, -s*i - 2*m = 11. Sort 3, 0, i in increasing order.\nAnswer: i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5527 by 41.\nAnswer: -5527\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, u: 3}. What is prob of sequence uv?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2629 - -5445?\nAnswer: 7a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -27*f**5 + 78*f**4 + 155*f**3 - 110*f**2 - 128*f + 32 = 0.\nAnswer: -4\/3, -1, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g + 20. Let m be u(9). Let l be (2*(-1)\/5)\/(14\/m). Solve -5*z + 2*c = 27, l*c = -4*z - z - 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.006 - 1.616. Round p to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-24))\/((-1)\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**3 - 17*k**2 - 15*k + 7. Let b(r) = r**3. Let l(o) = 5*b(o) + d(o). Calculate l(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/11 - 2076*b\/11 + 11921310\/11 = 0.\nAnswer: -3015, 1977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.0878, 1, -1, 3\/2?\nAnswer: 0.0878","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7743 and 1424.\nAnswer: 123888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -285 + 303 - (2 + (-4 - -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6 - 2. Suppose -5*c = -5*y + 20, -y + 12 = -5*c - 0. Suppose 66 - 70 = -n. Solve y*w = n + g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q\/((q\/q**(11\/2)*q)\/q))\/q)))\/q**(18\/5) assuming q is positive.\nAnswer: q**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 657898\nAnswer: 3289490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -0.60718.\nAnswer: -0.39282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c*q**2 + 17*c*q + 2*c + 16040*q**3 - 3*q**2 + 1670 wrt q?\nAnswer: 10*c + 96240*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24524*r**2 + 122515*r + 525.\nAnswer: -(r - 5)*(24524*r + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 6. Let z be d(-6). Suppose -z*i + 15*i = 117. Suppose a + 26 = 3*a. What is the highest common divisor of a and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645476.\nAnswer: 2, 13, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 164159, 656618, 1477383, 2626454, 4103831, 5909514, 8043503?\n\"Answer: 164153*i**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82740)\/2758)\/(4020\/(-2)).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/8739 or 1?\nAnswer: 38\/8739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*x = -3370 + 12430 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5598 - 17887. What is p rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -84 - (39 - 36)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 2109?\nAnswer: 168720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 2*n + 0*n - 15*n + 30*n + 0*n - n - 4*n + 3*n + (-1 + 0 - 1)*(2 + n - 2).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01588732 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 take away 11843249?\nAnswer: -11843227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22150245, -22150244, -22150243, -22150242?\nAnswer: -22150241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-67 - (1 - 4\/(-17 - -16)))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 215 = 205 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-87)\/(-18))*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (146\/8760)\/((-2)\/(-20)) and 44\/159.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. What is the third derivative of 4*h**2 + 2*h**2 + a*h**3 - 5*h**2 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4114.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*k - 22*k - 12. Put 2, -0.3, k in descending order.\nAnswer: 2, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -4*b + 11. Find the common denominator of 51\/8 and b\/14*(-9)\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15231 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 17*s**2 + 3*s - 4. Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 17, 2, -45, -136, -283, -498?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 8042 = -20051. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqm when three letters picked without replacement from qqqmqqmqqqqqqmq.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.5, 5 in ascending order.\nAnswer: -0.5, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 569588.2 milligrams in grams?\nAnswer: 569.5882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c - 72, -9*i + 2 = 4*i - 18*i + 2*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eznseeen. What is prob of picking 2 n, 1 z, and 1 s?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -3557, -1, -3 in descending order.\nAnswer: 41, -1, -3, -3557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 9:30 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 7\/3, 0.498, 6, -1\/8, 1, 0.6?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198.00000584 + -198. What is u rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 18*p + 158. Let c be x(-9). What is the remainder when c\/(4\/12 + (-725)\/2085) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573736268?\nAnswer: 2, 7, 271, 75611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 12*l**2 - 14*l - 17. Let b be m(13). Calculate the remainder when 15 is divided by ((-33)\/55)\/(2\/b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*w - 50017 - 17388, -53926 = -4*f - 3*w. Is 73 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1154230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 842 + -760. Calculate the remainder when 240 is divided by g.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37313401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + -5*(((sqrt(1872) + -1)*-4 - sqrt(1872) - sqrt(1872))*-4 + sqrt(1872) + -2 + sqrt(1872)*2 + 1)**2.\nAnswer: -6824890 + 55080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -4963735\nAnswer: -4963734.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 1. Let q be u(4). Let a(k) = 2. Let n(m) = m**2 - m + 5. Suppose 0 = -2*s + y + 2, -s + 4*y = 2*s - 13. Let w(f) = s*n(f) + 4*a(f). Give w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 10\/25*20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-20)\/w)*w*((w\/(w*w**(-9)))\/w)\/w*(w**(-4\/5))**(2\/27))**(-35) assuming w is positive.\nAnswer: w**(-28294\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339117590 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/2940 and -35\/9?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3489 divided by -5?\nAnswer: -3489\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-85)*(-25)\/(-2). Suppose -3*u + f - 5*f + 590 = 0, 2*f = a*u - 966. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 1106 - 1451 = 0, -2*p = 5*t - 153 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-57)\/10)\/(-19))\/((-15)\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 141*o - 15447. Give w(101).\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135453 by 489.\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46 - 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 6, 0 = -170*s + 165*s - 2*w + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -9\/2, 0.2, -1\/2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*r, -4*f + 18 = -9*f - 4*r. Is (5498\/f)\/(70\/15 - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 8*m + 9. Calculate a(-6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + -10 + -22 + 55.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-21 + 1 + 13 + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 4*k + 1. Let j be t(-3). Let o = 4.02 - 0.02. Let w = -2.5 + 2.6. Which is the closest to w? (a) j (b) -1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 661.06 - 40490.\nAnswer: -39828.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 834 - 19*a + 16*a + 836 - 1670.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804*f**2 + 0*f - 382*f**2 + 21*f + 11*f - 420*f**2 + 3*f.\nAnswer: 2*f**2 + 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.00429 or -3?\nAnswer: -0.00429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(210)\/sqrt(6) + sqrt(35) + sqrt(35))\/(sqrt(5)*2*-2).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*l + 4*w, 2*w - 7 = 4*l - 5*l. Suppose 24*x - l*x = 136. Let d be -2*(87\/12)\/((-4)\/x). Solve d = 4*u + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -16, -1, -3\/2, 0.34, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.1 from -0.081.\nAnswer: 2.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*d = 24, -38*d + 34 = q - 42*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94165?\nAnswer: 5, 37, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9185 divided by -21?\nAnswer: 9185\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 67416*g**5 - 4048140*g**4 + 98674203*g**3\/2 - 166141350*g**2 + 15509475*g\/2 - 91125 = 0.\nAnswer: 5\/212, 6, 9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 152928?\nAnswer: 61171.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3 (c) 8\/9 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*c - 81*c - 5*h = 68849, 0 = -c + h + 17211. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*b - 271*b = 5*g + 11 + 44, 5*b - 2*g - 57 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*b**3 + 426*b - 28*b**3 + 99*b**3 to the form p + f*b + v*b**2 + c*b**3 and give f.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 846 and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 47, 4.\nAnswer: 4, 9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -60.945. Let l = b + -0.055. What is the closest to -3 in l, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175 + -59 + 73 + -30 - 39?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, 3\/4, 5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/(sqrt(4) + sqrt(20)\/sqrt(5)) + sqrt(36)\/((4*sqrt(84))\/sqrt(7) - sqrt(12) - sqrt(12)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 + 5072034*r**2 - 2 - 5072034*r**2 + 2.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7e92 (base 16) to base 15.\nAnswer: 9902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29192363107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3*sqrt(117))\/sqrt(9) + (sqrt(117)*-2)\/sqrt(9) + -4)**2.\nAnswer: 60*sqrt(13) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 2 + 2*g + 14 - 1 in the form a*g**2 + q + m*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 138. Let f = a + -107.3. What is f rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 10:53 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -122. Let k(i) be the second derivative of -11*i + 0*i**5 + 0 + r*i**4 + 0*i**2 + 1\/60*i**6 + 0*i**3. Factor k(m).\nAnswer: m**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, w: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289 - 282. Suppose 12*h = -2*n + u*h + 330, -2*n + 4*h = -330. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m + 2. Let u be g(0). Suppose -u*z - 2*z = 272. Round z to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 21 - 119. Let w = d - -55. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0)*((-3)\/12 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Let z = -1920 - -1934. What is the least common multiple of z and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**26\/f)**46\/((f*f**(-21)*f)\/f)**(6\/7) assuming f is positive.\nAnswer: f**(8170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 2, k: 1, y: 1}. Give prob of sequence ydj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - x. Let a(y) = y**3 - 14*y**2 + 2*y - 8. Let t(d) = -a(d) + 6*q(d). Let n = -729 + 736. Determine t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1*(-976*(-3)\/6 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 10 = -2*m. Solve -u + 2*i = -1, -i - m*i = -4*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -157*f + 33. Let s(v) = -v**3 + 15*v**2 - 12*v - 32. Let u be s(14). What is the tens digit of d(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10599, -13639, -16679, -19719?\nAnswer: -22759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/(-188))\/((-10)\/56).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2156305 + -86512. Suppose z = -f + 679793. What is f rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 8 + 2 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 17157*r + 21310532.\nAnswer: (r + 1348)*(r + 15809)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 1. Let p(b) = -53*b + 8. Let k(u) = -p(u) - 6*v(u). Let n be k(-2). Is 15 a factor of n\/4*3\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 709245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 110393?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4193, 4198, 4201, 4202?\nAnswer: 4201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 156 + 29)*(26*q**4 - 32*q**4 + 21*q**4).\nAnswer: 1815*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 6*g - 45. Let r(s) = -s**3 - 2*s**2 + 3*s + 2. Let u be r(-3). Put u, 0, g in ascending order.\nAnswer: g, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 + 496\/3. Let z(x) = -x**2 + 9*x - 4. Let w be z(8). Which is the smallest value? (a) w (b) p (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + j**2 - 3*j**3)*(-4 + 5 + 5) + 145*j - 145*j + 12*j**3 to the form a*j**3 + k + b*j**2 + f*j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -227 - 17107?\nAnswer: -17335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*j + r, 4*j = -4*r + 7 + 17. Suppose 4*h + v - 14873 = 0, 2*h - j*v = 4143 + 3310. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxoo. What is prob of sequence oo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.81?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + -8 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/28 - 3\/28. Let n = 0 + 1. Is n greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/3483 + 132*16\/(-6804).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (2\/(-2) - (-28 - 2)). Suppose -r*m = -15*m - 3230. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c + 516*c**2 - 261*c**2 + 141*c**3 - 255*c**2 + 99 wrt c?\nAnswer: 846*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -185a17409 - 3?\nAnswer: -185a17411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.7 + 162.7. Let y = p + -135.92. What is the closest to y in 1\/3, 0.4, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 39*z**2 - 50.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (832\/(-110))\/13 - (24\/15 - 2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-250)\/(-100)*(0 - (-2032)\/5). List the prime factors of r\/(2 - 6)*-1.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1875656020 divided by -4.\nAnswer: -468914005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let a(z) = z**3 + 2*z**2 + z + 2. Let x be a(o). Suppose -2*v + 7*v - 1 = -2*g, -4*g + 11 = v. Solve g*p = -x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2412*m**2 - 108*m + 72. Let s(y) = -3*y + 2. Give 36*s(v) - t(v).\nAnswer: -2412*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -469, -945, -1425, -1909, -2397, -2889, -3385?\n\"Answer: -2*z**2 - 470*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 291114394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**7\/560 - k**6\/360 + k**5\/20 - 13*k**4\/24 - 77*k**2. Let j(g) be the third derivative of f(g). Determine j(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-5*sqrt(400))\/(-1*(sqrt(245) - -2*sqrt(245) - sqrt(245) - sqrt(245)) - sqrt(245) - sqrt(245)))**2.\nAnswer: 50000\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 22 = 2*y + 5*p, 5*y + 27 = -4*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-36))\/(((-861)\/(-567))\/(-41))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (-2)\/(-4). Let s be 4\/16 + (-6)\/(-8). Sort 3, s, h.\nAnswer: h, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137327 (base 10) in base 16?\nAnswer: -2186f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Suppose 0 = -p + 4*p + k*j - 168, -280 = -5*p + 4*j. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o**1*o))\/o*o)\/o))\/(o\/(o\/o**(-1\/12))))\/(o\/(o\/o**1*o))**(-3\/5)*((o**(2\/9)*o*o)**(24\/13))**(2\/15) assuming o is positive.\nAnswer: o**(1699\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 9) + 8 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7864000*q + 15728011*q - 7864009*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -24*r**2 - 11*r + 13. Let x(j) = -12*j**2 - 5*j + 6. Determine -6*o(v) + 13*x(v).\nAnswer: -12*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g**2 - 3. Let o(n) = n**2. Let y(b) = -6*o(b) + z(b). Differentiate y(a) wrt a.\nAnswer: -40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 6, j: 6, s: 3}. What is prob of picking 1 n and 1 o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -215007 and 0.01.\nAnswer: -2150.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2309 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3 + 3*j - 75*j**3 - 2 - 3*j. Let t be i(-1). Calculate the greatest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4440807 (base 9) to base 13\nAnswer: 658435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-16))\/(-3*(-2)\/20). Which is smaller: n or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 274449 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavvaa. What is prob of picking 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 9*m + 73. Calculate the remainder when m is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21701246 divided by 4\nAnswer: -10850623\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -24*w - 2. Let d(j) = -12*j - 1. Let b(t) = 5*d(t) - 2*h(t). Let k = -1346 - -1345. What is b(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 18, 86 = 24*n - 22*n + 7*v. Let l = 43 - 10. What is the highest common factor of l and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7062\/11 - 3\/(-1). Suppose -p + y = 100. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v\/v**(2\/5))))\/(v\/v**(5\/2)))**(-2\/31) assuming v is positive.\nAnswer: v**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1171 = -3*h - 391. Suppose -4*b - 3*d = -173 - 86, 0 = -4*b - 4*d + h. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 9*p + 64 - 9. Let r(n) = 46*n**2 - 11*n + 9. Let f(b) = -23*b**2 + 6*b - 5. Determine p*f(d) - 6*r(d).\nAnswer: -23*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606 = 64*p - 65*p. What are the prime factors of p?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1000, 2001, 3002, 4003, 5004, 6005?\n\"Answer: 1001*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 1 - o**2 + 4*o**2 to the form d*o**2 + i + h*o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 177, 300, 427, 558, 693?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avavaaaaaavaavvvava. What is prob of picking 4 v?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-35 - -17 - -13) + 25 - 15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -28. Suppose q - 16 = z*q. Put 41, -1, q in descending order.\nAnswer: 41, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 2. Let b(o) = 215*o**3 - 8. What is -b(x) - 4*j(x)?\nAnswer: -215*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*l + 282*l = 240*l - 16815 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.96 + 0.04. Let m = u - 2.4. What is the nearest to 1 in m, 3, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n + 5*t = 31, n = 5*t - 23. Suppose 2*u - 9 = -z, -5*u + 5*z = -0*z - 60. Let h = u - n. What is the remainder when 9 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236847*d + 26*d**2 + 236847*d + 6*d**2.\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from {y: 2, f: 2, o: 4, d: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71\/1278)\/(-3*4\/12).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -3585e0d?\nAnswer: -3585e13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b. Let o(v) = -103531*v + 1. Give y(o(w)).\nAnswer: -517655*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38053828 or 38053829?\nAnswer: 38053828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/(-31))\/(5\/(15\/6))*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n + 4 = 0. Let a be 391\/102 + 2\/12. Suppose -a*f = -28 + 8. Sort n, -2, f, 2.\nAnswer: -2, 2, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/91074 - -8378995\/17030838. Let l = p - -34061\/3366. Let b = l - 139\/18. What is the common denominator of 31\/4 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z**2. Let p(w) = -2*w + 12. What is p(m(f))?\nAnswer: 16*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80720726 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -491389808 - -491392655.01619. Let y = 2847 - g. Round y to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 1)*(-10 - -11). Solve -i + y*i = 0, 0 = 5*q + 5*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 - -1111\/9. Let w = j - -17\/9. Let q(i) = i**2 - 3*i - 14. Let b be q(5). Sort -3, b, w in ascending order.\nAnswer: b, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 3328290*b + 6656560.\nAnswer: 5*(b - 665656)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3756 and 5892?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31218, -31107, -30996?\nAnswer: -30885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11 + -24.89. Let z = n - -22. Which is the nearest to 3? (a) -2 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 0, -4\/15, -2\/13, -3\/11 in increasing order.\nAnswer: -8, -3\/11, -4\/15, -2\/13, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 13*i**2 - i - 1. Let k(x) = -2911*x**3 + 39*x**2 + 2*x - 300. Let g(c) = 3*h(c) + k(c). What is the derivative of g(l) wrt l?\nAnswer: -8742*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n + 1. Let b be a(-3). What are the prime factors of (b\/(-10))\/(2\/(-55))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 26*z**2 + 0 + 2 + 4*z + 2. Does 25 divide m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w, -11711*x - 4*w - 32 = -11719*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*m - 20, -3*m - 40 = m + 2*g. Let s(o) = 2*o**2 + 4*o - 15. Is s(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 327500 and 147500?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = j + 2*z, 3*z = 3. Let s = -7 - j. Suppose 4*h - 65 = -c, s*h + 7 = 5*c + 27. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -9, 4, 37, 96, 187, 316?\n\"Answer: f**3 + f**2 - 11*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 47*n + 3003. What is the smallest value in 0.5, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 12. Let x be t(5). Suppose -3*i = -4*j - 7, -7 = -2*i + x*j - 2*j. What is the units digit of -2*i - -1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*t - 115, -3*l - 60 = -t + 25. Is -29 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156089*i**2 - 400995.\nAnswer: -312178*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v - 2*u, u = -3*v - 2*u + 9. Suppose -o - k = -6 + 1, v = -o + 2*k + 11. Suppose o + 21 = 4*a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18140 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6804\/12)\/21*7\/(-28)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**4 - x**3 + x**2 + x + 1. Let v(g) = -g**4 + 6*g**3 - 3*g**2 - 4*g - 3. Let h = -17 - -11. Let f(u) = h*b(u) - 2*v(u). Factor f(o).\nAnswer: -2*o*(o + 1)**2*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (2 - 16 - 0 - (-505 + 566)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 + 39 - 6)*(0*a - 2*a + a) + 4 + 0*a + 5*a - 3*a.\nAnswer: 68*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7056958, 14113927, 21170896, 28227865, 35284834?\n\"Answer: 7056969*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1800\/750)\/(((-6)\/20)\/1))\/(-26)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 3*i**2\/2 - 10*i - 11969. Let h(j) = 109*j**2. Determine x(h(b)).\nAnswer: 327*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68025.\nAnswer: 3, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d - 3*d - 26*d)*(121*d - 121*d + 94*d**3).\nAnswer: -4042*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 9:49 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -1.6. Let m be -8 - -8 - 8\/(-40). What is the closest to k in 2, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -270430, -270436, -270454, -270490, -270550, -270640, -270766, -270934?\n\"Answer: -u**3 + u - 270430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 265 + -123. List the prime factors of a.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (1 + (-20 - -2) - (207 + -218))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -587*p + 584*p + 31*c + 174, 0 = 3*p + 2*c + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 72, 139?\n\"Answer: 67*l - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 34 = -4*f + 4*w, 3*w + 21 = 3*f. Let c(u) be the third derivative of -u**4\/24 + 11*u**3\/6 + 119*u**2 - 2. Calculate c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23749*u - 4463 = -23906*u + 5504 + 4320 for u.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/14*(-3038)\/(-8680).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1292.54 to the nearest ten.\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4488\/26367*29986\/44\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -0*j + 3*j. Sort 79, -4, j in increasing order.\nAnswer: -4, j, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85\/7439 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 8 = 0. Suppose -v - 2*v + 40 = 5*y, 3*y = -5*v + 40. What is the greatest common divisor of y and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1896 and 828.\nAnswer: 130824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1035*x**2 + 3*x + 23409.\nAnswer: 2070*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 13\/3, 2\/73 in decreasing order.\nAnswer: 13\/3, 2\/73, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 143. What is the greatest common factor of 90 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 1\/30*d**4 + 4\/5*d**2 + 1 + d + 4\/15*d**3. Let r(u) be the first derivative of c(u). Factor r(j).\nAnswer: 2*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 - 267*g**4 + 6330*g**3 - 17418*g**2 + 16899*g - 5547.\nAnswer: 3*(g - 43)**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -301 - -299.998. Let v = -1 - b. Let d = v + -0.00084. Round d to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d0 - -66a?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 16*x**2 + 3532*x - 49832. Calculate q(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 52*h**3 - 15*h**2 + 27*h + 26*h**3 - 10*h**2 + h**2 - 3*h**2. Let n(u) = 6*u**3 - 2*u**2 + 2*u. What is -27*n(g) + 2*o(g)?\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/9, 1\/29, 0, -3, 0.1043?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 16*u**2 - 4*u + 384. Let b be g(17). Solve 18*k = b*k + 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m, -39 = -4*u + 5*m + 1. Solve 2*q + 5*c - 8 = 0, -3 - 4 = -3*q - u*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15*16*230\/(-368))\/(2\/(-53)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 24136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1756569274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 43 = -5. Suppose -5*f - 34 = -154. Suppose 0*v + f = 3*v. Calculate the greatest common divisor of v and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 13*n**2 + 3. Let j be t(-13). Let p(s) = -3*s - 3. Calculate p(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/33284 and -69\/6280.\nAnswer: 332840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/(-43)*8\/(64\/(-30)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2116 is divided by 1052?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2577472723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 519, 1608, 3253, 5454, 8211, 11524?\n\"Answer: 278*n**2 + 255*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.138 take away -0.1562?\nAnswer: -26.9818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73239364*c**3 + 30687225052*c**2 + 28686400*c + 6704.\nAnswer: -4*(c - 419)*(4279*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 divided by 1?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9830103 and 7.\nAnswer: 9830110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*g**5*q - 38*g**3*q + 14*g*q + 27*q wrt g.\nAnswer: -180*g**3*q - 228*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1450\/302317?\nAnswer: -1450\/302317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 411*k + 373*k - 9408 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00231 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325798429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 351841 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 15. Let w be m(6). Suppose 2*x = -4*b + 25 - w, -5*b = -5*x + 70. Find the second derivative of 13*f - 5*f + x*f**5 - 16*f**5 wrt f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 12) to base 11\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 0*r**3 - 3*r**3 + 9*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27193?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from erewrererrrererrrre. What is prob of sequence errw?\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4305315561 to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyyqggygquqgyzm. Give prob of picking 1 m and 1 u.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -43 - (-41 - -43) - 45?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -276*f**5 - 2*f + 40 wrt f.\nAnswer: -5520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -98041.3 rounded to the nearest one thousand?\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 76*t**2. Let q(c) = 87*c**2. Determine a(q(j)).\nAnswer: 575244*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f**(-15))\/(f\/(f**(-1\/10)\/f)*f*f\/(f*f**(4\/9)*f)) assuming f is positive.\nAnswer: f**(1021\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -9.5 (b) 10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 12:46 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/17, -1\/2, -1\/3, 0.06, 3.2, -0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73837.56l in millilitres?\nAnswer: 73837560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14980887 minus 2532.8?\nAnswer: -14983419.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j + 90. Suppose -j = -6*q + 2*q + 3*t, -3*q + 2*t + 22 = 0. Calculate the lowest common multiple of q and (18 + 2)\/(-2)*-1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 7. Let v = 9.2 - -0.8. Let k = 13 - v. Which is the smallest value? (a) 2\/7 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*i + 28, 4*a + a + 2*i + 40 = 0. Let c(n) = 16 - n + 4 - 2*n. Let v(b) = -b + 7. Determine a*c(z) + 17*v(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 49, 9, -5 in decreasing order.\nAnswer: 49, 9, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**38\/((((d*d*d**(-2\/15)*d*d)\/d)\/d)\/(d**(-4\/5)*d)) assuming d is positive.\nAnswer: d**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29770 + -9552. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 5:05 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5575.9979078 + 5580.6381. Let k = -4.64 + i. What is k rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 2, 1\/6, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87039?\nAnswer: 3, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8564*0.2\nAnswer: -1712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 15. Let g be r(-4). Suppose g*s - 70 = 3*s. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = -2*o - b, 5*o + 4*b + 1794 = 5*b. What is the hundreds digit of 1 + (-5 - (o - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 - 117. What is the greatest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -204 and 6.22?\nAnswer: -1268.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 >= 1126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - (-5850)\/12)*2 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, c: 7}. What is prob of sequence ccec?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4333*r + 5*r**2 + 1 + 2166*r + 2172*r as n*r + f + l*r**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -162 + 595 - 213 - 220 + 32134*h as j*h + i and give j.\nAnswer: 32134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 133 - 496. Let z = d + 37. Calculate the greatest common divisor of 16 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -99*t**4 - 5*t + 3000.\nAnswer: -396*t**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0006438*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -13*q - 22*q. Solve -5*c + 4*p = -3, 5 = 5*c - q*p - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61932\/(-6352)*(-4)\/(-3) - 12294\/(-946).\nAnswer: -2\/473","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 6*b. Let j be (-4)\/(-14) - 74\/14. Let r be o(j). Suppose -11 = r*l - 61. What are 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 291 minutes after 11:34 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h**(-1))))\/h)**(-31)\/(h**(-1)*h*h)**(-23))\/((h**(-2\/3)*h)**(-17\/6)\/(h**4\/h**(2\/5))) assuming h is positive.\nAnswer: h**(5269\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 191*t - o = -201, 4*o + 150 - 188 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1125))*-5 + sqrt(1125) - sqrt(1125)) + 2.\nAnswer: -75*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 3*k - 6. Let o(u) = 3*u**2 + 4*u + 2. What is the remainder when h(6) is divided by o(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 770\/13 + -605207\/10218. Let n = s - -87\/262. Which is the closest to n? (a) -0.5 (b) -2\/131 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 877, 875, 873?\n\"Answer: -2*c + 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 482129 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 65 divided by -247?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22345 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413, 739, 1065, 1391?\nAnswer: 1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(68) + -1)*6 + ((sqrt(68) + 1 + sqrt(68))*-3 - sqrt(68)))*6 - (sqrt(68) + 1 + 1 + sqrt(68) + -4 + sqrt(68) + 0)*-6)**2.\nAnswer: -3168*sqrt(17) + 14148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - a**3 + 0 + (0*a**3 - 2*a**3 + a**3)*(-4 + 5 - 5) + (4 + a**2 - 4)*(0*a + 0*a + 2*a) to t*a**3 + n + p*a + f*a**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.80127 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/31, -2\/15, -3, -2\/5 in decreasing order.\nAnswer: 2\/31, -2\/15, -2\/5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3936696 to the power of 1\/2, to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16414 (base 8) in base 10?\nAnswer: 7436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k - 39. Give o(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 478 - 845. Let t = z + 372. Solve h - t*h = -12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 2 n when four letters picked without replacement from rcldccmccccdmccrmn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 160*k**3*r**3 - 2*k**3 + k**2*r**2 - 381*k with respect to r.\nAnswer: 480*k**3*r**2 + 2*k**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 687584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + k**2 - k + 1. Let p be v(1). Let w be (-1705)\/(-20) + (-2)\/8. Suppose -p*m + 63 = -w. What is the remainder when m is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 8. Let h be 1\/(z*4\/(-32)). Determine f so that -2\/3 + 2\/3*f**h + 0*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0457 to 3 decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*((sqrt(99) - (-1*sqrt(99) - sqrt(99) - sqrt(99) - sqrt(99)))*2 - (-1 + sqrt(99) + sqrt(99) + -2))**2.\nAnswer: 144*sqrt(11) + 6346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 33. Factor -2\/9*l + a - 4\/9*l**2.\nAnswer: -2*l*(2*l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/43776 and 61\/576.\nAnswer: 43776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 38. Suppose -331 = -p*x + 179. Round x to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 118784? (a) -22 (b) -0.2 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:30 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43129)\/1224)\/(-59) + 3\/(-8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 + 168 = 3*v + 148. What is the remainder when 1444\/6 + (-4)\/6 is divided by v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48.109 and -12.55.\nAnswer: -603.76795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 1120400414?\nAnswer: -1120400433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*f - 18 = 34, -5*a + 59 = -23*f for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*v = 28, -3*y - 2*v = -34 + 8. Calculate the highest common factor of y and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 12 + x - 19 - 3*x. What is the units digit of b(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djyd when four letters picked without replacement from {y: 2, d: 5, j: 1, o: 1}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((((v**(-2\/5)\/v)\/v)\/v)\/v))\/v)\/v)**38)**(24\/11)*((v\/(v*v**1))**(-1\/4))**(-2\/25) assuming v is positive.\nAnswer: v**(155029\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3*g + 76. Calculate the remainder when 2107\/28 - 1\/4 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91027 or 91029?\nAnswer: 91027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -171*v - 1885. Let l be s(-11). Put 3, -16, -1, 0, l in decreasing order.\nAnswer: 3, 0, -1, l, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 13*w**2 - 16*w - 23. Let s be a(-14). Let t(m) = m**2 - 6*m - 10. Let y(q) = 2*q**2 - 12*q - 17. Let b(l) = s*t(l) - 3*y(l). Calculate b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, -3, -7386 in increasing order.\nAnswer: -7386, -16, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1152*h**2 - 2 - 4018*h**3 + 1130*h**2 + 0 - 2249*h**2 wrt h?\nAnswer: -24108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/82111 - -328462\/738999. Find w, given that -4\/3*w**3 - o*w**2 + 0 + 8\/9*w + 4\/9*w**4 + 4\/9*w**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.31514389 rounded to two decimal places?\nAnswer: -12.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87848*h + 95114 wrt h?\nAnswer: 87848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 6*m + 2*m - 86*m**2.\nAnswer: -86*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - y - 1. Let z(m) = -6*m**2 + 4*m + 5. Let o(d) = -5*q(d) - z(d). Let g(i) = -4*i**2 - 3*i - 3. What is -g(s) - 3*o(s)?\nAnswer: s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -1. Let t = 360\/7 + -51. Which is the third smallest value? (a) f (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + y)*(-82 + 61 - 65).\nAnswer: -86*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdmttkd. Give prob of sequence mht.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*d - 11 - 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282 and 4606?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:13 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3 (c) 24 (d) -58 (e) 14\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.733 or -3.977?\nAnswer: -3.977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150\/467 - -4019\/2335. Determine m, given that 2\/5 + 3*m**4 - 19\/5*m**3 - m**2 + b*m = 0.\nAnswer: -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2 + 195*a + 6097. List the prime factors of p(-27).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -17, -7, 15?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179*b**4 + 187*b**4 + 2*b**2 + 3 - 2 to the form h*b**4 + k + i*b**3 + u*b**2 + g*b and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from {f: 2, p: 1, t: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137806, -276598, -415390, -554182?\nAnswer: -692974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsgwkwwgkwgr. What is prob of picking 1 n and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -11. Let t(u) = u. Let b be t(r). Which is bigger: b or -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 0*u**6 + 2*u - 2 - 1\/5*u**5 + 1\/21*u**7 + 0*u**2 + 1\/3*u**3 + 0*u**4. Let p(h) be the first derivative of n(h). Factor p(s).\nAnswer: 2*s*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:38 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2977 >= -2\/1425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -1\/6*a**3 + 0*a**2 - 1\/40*a**5 - a + 0 + 0*a**4 - 1\/120*a**6. Let g(c) be the second derivative of w(c). Calculate g(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9925.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 18582.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7375994 divided by -401\nAnswer: 18394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)\/((sqrt(28)\/sqrt(2))\/sqrt(2)))\/((sqrt(9) + (sqrt(9) - sqrt(864)\/sqrt(6)))\/sqrt(3)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9316515 divided by -1863303?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/34 and 32\/187.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0\/(-1))*(-6)\/12. Which is smaller: t or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 + 1 = o, -3*o - 9 = 0. Solve 0 = 3*i - 4*n, -14 = -7*i + c*i + 2*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -22*q - 2351. What is d(-107)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*b**2 - 163*b**2 - 25*b**2 + (-b**2 + 2*b**2 - 3*b**2)*(1 + 0 - 3) to v*b**2 + p + j*b and give v.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3553 + 3552.6. Which is greater: d or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405)*3)**2.\nAnswer: -162*sqrt(5) + 3654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-1 + 1 + -2 - 58 - (2967 + -2975)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7174003 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 1. Let u(p) = p**3 + p**2 - 2*p - 3. Let c(o) = o**2 + 6*o + 8. Let j be c(-5). Let k be u(j). Let n = k - 20. Calculate l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56087\/3904 or -14?\nAnswer: -56087\/3904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 11, 10, 0 in increasing order.\nAnswer: -25, 0, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, m: 4, v: 2, r: 1, g: 1, u: 7}. What is prob of picking 1 r and 1 u?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271535375\/53 + -5122896. Let r = m - 413. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - 109. What is the smallest common multiple of 40 and q?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 12 + -9 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (5 + -7 - (-3 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1. Let n(f) = -f - 5. Let a(t) = n(t) + 5*w(t). Let z(v) = -45*v. Let j(h) = -5*h. Let g(d) = -35*j(d) + 4*z(d). Calculate g(a(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/60 - i**4\/24 - 5*i**3\/6 + 2*i**2. What is the tens digit of p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15416.427012 + 16301618737.572988. Let f = g + -16301634038.99999891. Let a = -115 + f. Round a to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -17, -27, -51, -95, -165?\n\"Answer: -l**3 + 2*l**2 - l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/(-52) + -2*18\/(-8). Let j(r) = 3*r**2 - 51*r + 4. Let g be j(17). Solve -u = w + g*w - 6, -f*w = -2*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -18 + 15 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = 2*w. Suppose 21 = w*y - 17. What is the remainder when (-803)\/(-22) + (-1)\/2 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 882 divided by -49\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*z + 8, -10*z - 9 = -13*z - 3*b. Let k be (-37 - -39)*z\/(-12). What is the nearest to -9 in 1, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(-3401*a + 343 - 343) to the form z*a + x and give z.\nAnswer: -3401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 47\/14?\nAnswer: 47\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 235774.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 285 + -284.8892. Let t = 0.0108 - y. Let x = 17\/12 + -3\/4. Which is the closest to x? (a) -3 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220589833 and 7671.\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/826 and 11\/958279.\nAnswer: 113076922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 13. Let o be 15\/90*(-3)\/(-30). Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7065\/(-55107)*3\/5\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21933936 divided by 16?\nAnswer: -1370871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - -44. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 2*r - 1. Let n be w(-1). Suppose b - 4627 + 14227 = n. What is b rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7887*n*z - 4*z + 486 wrt n.\nAnswer: 7887*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1715 = 8*t. Suppose 2*j - 2 - 6 = 4*i, 3*i = j - 4. Suppose -j*o = 2*q - 366, -2*o - 4*q = -t + 71. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320494 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-62)\/(-8)*(6 + -2). Suppose -5*z = -14 - g. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.86 + -22.86. Is -1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -4 - 373) + -4. Is (7 - 6)\/((-1)\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 0 - ((-2 - 0) + -29). Let c = i + -31. Suppose c*y - 35 = -7*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 + -269?\nAnswer: -263.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -d - 3*t, -d = -3*t - 4 + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92.07 + -92. Which is the smallest value? (a) 7 (b) 0.3 (c) -3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -32.98924.\nAnswer: -3.298924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 1 - 1)*(-5374 - 24267 + 386 - 11916)*(-l + l + 2*l).\nAnswer: -82342*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/11 (b) -1 (c) 8.48 (d) -7 (e) 3 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2446816.\nAnswer: 2, 76463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*q = 54128, p - 4*q - 4415 = 13621. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44982781 is divided by 616.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1155 and 297.\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7237*w + 3901*w - 2 + 3781*w + 2.\nAnswer: 445*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/3 + -3. Let s = 3333 + -3332. Sort f, -0.5, -3\/4, s in increasing order.\nAnswer: -3\/4, -0.5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 - 2*w + 1. Let r(b) = b**2 + b. Give -a(d) - 4*r(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2809794\/11 or 0.1?\nAnswer: -2809794\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 2*s = 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**4 - a**3 - 2653*a**2 - 46207 wrt a.\nAnswer: -4*a**3 - 3*a**2 - 5306*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**4 + i**4 - 4*i**4 + (67*i**2 - 8*i**2 - 2*i**2)*(0*i**2 + 2*i**2 + 4*i**2) to the form f*i**3 + d + z*i**2 + o*i + c*i**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 151830 divided by 4338?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 1297*z**6\/120 - z**4\/24 - 1835*z**3\/6 + 5*z**2 - 43. Differentiate g(x) with respect to x.\nAnswer: 3891*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, g: 10, p: 2, o: 1}. What is prob of sequence gpp?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 813*h**2 - 202. Is b(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7 + 3 - u**2 - u**4 + 5*u**3 to n*u + a*u**2 + w + o*u**4 + r*u**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*h + 2*h + 5*w, 3*w = -h + 18. Let b = -4 - h. Let y = -18 - b. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 3. Suppose 3*m + 593 = -3*m + 575. Calculate s(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183032 and 2192?\nAnswer: 366064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/40 + (-9)\/(-4). Suppose 0 = -r*z - 137 + 11. Let q be (-2 + z\/(-15))*-10. Do -7 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(20)\/sqrt(4) + -1)**2.\nAnswer: 4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(4\/7) assuming t is positive.\nAnswer: t**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 4*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 29. Let t(k) be the second derivative of -k**3\/2 + k - 34. Calculate p(t(y)).\nAnswer: 9*y**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 515\nAnswer: -8240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from zzxxzxzzddxxz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 40*y + 7. Let c(i) = -i**2 + 30. Give c(m(j)).\nAnswer: -1600*j**2 - 560*j - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 573032 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 48 = -5*h, -4*y = -2*h + 22 - 70. Let i = -5 + 3. Let l be i*(2 - 26\/y). Put 0.4, l, 3 in descending order.\nAnswer: 3, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*u + 3*u = 12, 0 = 5*b - 2*u + 1. Solve -2*n + 9 = -5*g, 5 = -5*g + 3*n - b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-6)*1*(-2)\/(-18).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101024423 + -2?\nAnswer: 101024421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 245\/(-210)*(-3)\/14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4860 is divided by 410?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-q + 0*q + 2*q)*(-19*q + 12*q - 37*q) as t*q**2 + u*q + h and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169347 and 25.61.\nAnswer: -4336976.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -7 + (-59)\/((-2714)\/874)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14000*x - 97722. Give n(7).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 2*b + 105. Let j(d) = 2*d**2 - 3*d + 106. Let h(z) = -2*j(z) + 3*w(z). Let m be h(10). Solve 0*v + 3*v = -m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.02. Let u = -2.98 - j. Let y = 664 + -663. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + 3.4. Let t(q) = q**2 + 7*q + 6. Let k be t(-6). Which is the smallest value? (a) d (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 962 + -508897\/529. Let r = w - 24866\/1587. Let y = 15 + r. What is the third biggest value in 0.3, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*v**5 - 1080*v**4 + 24*v**3 - 990*v**4 + 3197*v**4 - 1027*v**4.\nAnswer: 4*v**3*(v + 1)*(19*v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*3\/3 - -65. Let t be y\/28 - (-2)\/(-8). Suppose t*l - 10 = 6*l - 5*f, -5*l + f = 2. Solve -z = a, -3*z = -l*a + 2*a - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x - 10. Let z(m) = 17*m - 19. What is 5*g(a) - 3*z(a)?\nAnswer: -6*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 - c**5 - c**5 + (c + 3*c - 3*c)*(-2*c + c**4 + 2*c) - 5*c**5 + 5*c**5 + 2*c**5 + 147*c**5 + 3054*c**4 - 3054*c**4.\nAnswer: 152*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - -2 - (-15 - -9). Solve -n + 30 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbe.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-16)\/6)*-2. Suppose -2*h - t = 4*t - 10, -h = -t + 2. Let j(q) = q**3 + 7*q**2 - 2*q - 10. Let r be j(-7). Solve h = -g - b*g - r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188580?\nAnswer: 2, 3, 5, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-22) - -827*1\/11. Suppose -153 = -3*g + c. What is the remainder when g is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v + 32741*v**3 + 62*v**2 + 3*v**2 - 32740*v**3 = 0. What is v?\nAnswer: -64, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1747*n - 22453. Calculate o(13).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 2850, 6318, 11160, 17376, 24966, 33930?\nAnswer: 44268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12\/13 (b) 0.03 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -145*i + 495. Let v(l) = -16*l + 56. Determine -35*v(a) + 4*z(a).\nAnswer: -20*a + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 7*u + 169. Let b be p(-11). Suppose o = 3, -w - 5*o + 21 + 3 = 0. Solve 1 = b*x + w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*l + 45*l - 22*l in the form m*l + h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5240088, -5240163, -5240238?\n\"Answer: -75*d - 5240013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48865984 is divided by 424.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -156600 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1 - (2 - 0). Suppose 2*g - 9 - 15 = r. What is the remainder when 22 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -213719.\nAnswer: -213714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83789\/44, -6, -2 in decreasing order.\nAnswer: 83789\/44, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.60324 + 0.04824. Let u = -0.445 + i. What is the nearest to 0.1 in -2\/3, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 28, 20, -10, -68, -160, -292, -470?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95737567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55773 - -90842. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.49 less than -0.954?\nAnswer: 1.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g - 5*g - g + 0 + 0 - 3*g + 2*g + g - 4*g + (-4*g + 2*g + 4*g)*(3 + 3 - 5).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Factor -7 + 2*q**h - 5*q + 2*q**3 + 5 + 3*q.\nAnswer: 2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*x - 155, 3*x - x = -5*w + 261. What is the greatest common divisor of 477 and w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 12. Let h be r(8). Suppose -7 = -h*s + 1. What is the derivative of -3*o**s + o**2 - 7 + 8 wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(540)\/sqrt(48) + (sqrt(135)\/sqrt(3) + sqrt(45) + 0 - sqrt(45)) - ((sqrt(180) + -1*sqrt(180))*4)\/sqrt(4))*1 + -5))**2.\nAnswer: -405*sqrt(5) + 4545\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.87 - 18.7. Let t = 0.08 - 0.11. Let i = y + t. What is i rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 300. Let i = f - 43. Suppose -2*u + i = -13. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -177\/7 in 7, 0, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h - 238. Suppose -3*f + h = 26. Solve f - 6 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23963 - -23972. Solve -27 = 9*s + a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228359 is divided by 454.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)*7*7\/245\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474231*x - 474264*x + 948492*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0863049 to 4 dps.\nAnswer: 0.0863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:42 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a57 (base 12) to base 7.\nAnswer: -4252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 4.5, -3, -182?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190494 = 4354*o - 7696*o for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 124, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5181.634ml to litres.\nAnswer: 5.181634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*x + 20. Let r be (-6)\/(-6)*(-4 + (1 - x)). Let k(s) be the first derivative of -s**3\/3 - 2*s**2 - 3*s - 66. Determine k(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**49)**(-9)*((t\/(t**(-1)*t))\/t)**(26\/3)\/(t*t*t*t\/(t**(-1)\/t)*t\/(t\/(t*t**(2\/9)\/t))*t) assuming t is positive.\nAnswer: t**(7873\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(1\/2)*q)\/q*q)**45\/(q**1\/(q\/((q\/(q\/(q\/(q*q\/(q*q**(-3))*q))))\/q))) assuming q is positive.\nAnswer: q**(235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/6800 and -163\/1020.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 8*o + 1. Let y be l(4). Let j = 223\/3 + -75. Which is the third biggest value? (a) -5 (b) y (c) j (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(25\/6)\/m)*m)\/(m\/(m\/(m*(m\/m**40)\/m*m))))\/((m**(4\/5)\/m*m)\/(m**48*m)) assuming m is positive.\nAnswer: m**(2551\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/47 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -960 divided by -15\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 1\/12*s**4 - 3*s - 1\/2*s**2 + 0 - 1\/6*s**3. What is o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1721*o + 4*o**2 - 642*o - 550*o)*(-o - 4 + 4)*(0 - 2 + 5) to the form c*o**2 + m*o + i + p*o**3 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -134574286?\nAnswer: 134574286.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15 - 1) + 16 - 55) + 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482568262 to the power of 1\/2, to the nearest integer?\nAnswer: 38504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826170559?\nAnswer: 19, 47, 925163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**4 - 366*s + 2891 with respect to s.\nAnswer: -12*s**3 - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1511434 + -34?\nAnswer: -1511470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + t - 2 = -24, -d = -t - 10. Suppose -4*q + d + 17 = n, -n - 2 = -q. Suppose b + n*b = -w - 13, -16 = 4*b. Solve w*s + 12 = 6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(396) + -2*sqrt(396) + sqrt(396) - sqrt(396))**2.\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*l**4 + 74*l**3 - 345*l**2 - 198*l.\nAnswer: l*(l - 3)*(l + 6)*(21*l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one fifth of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 + -1166999987369?\nAnswer: -1166999986228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -30 + 14 + -8 - (31 - -8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49396 and 3180.\nAnswer: 740940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 5:13 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26873994 divided by 1279714?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 16 - 6. Suppose 6*w = w + 10. Solve 5*q = w*s - 1, -s + 4 + 1 = p*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 10*x + 29*x + 44 = 38*x, f + 83 = -2*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 - 25*w - 26. Let o(c) = c**2 + 5*c + 5. Let b = -40 - -42. Suppose 2*j = -4*z, 3*z - j + 2*j = b. Let m(g) = z*k(g) + 11*o(g). Give m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 17 = 3*x, -5*b = 4*x - 0*b + 21. Suppose x + 1 = n. Suppose 0 = -6*w + n*w. Solve -5*j - 15 = -w*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 8299?\nAnswer: 8297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14932797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*k + 11 = 0, -x = -4*x - 3*k + 3. Let v be 22\/8 - (-2 - -5). Which is the second biggest value? (a) v (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1599?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97966*a - 1 = -97967*a - 3*r, 5*r = -11*a + 95 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5191224 and 11\/16300.\nAnswer: 129780600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -46.8. Let t = -1.14 - -0.14. What is the biggest value in -3\/2, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**3 + 2*y**2 - 2*y + 2. Let x be j(2). Suppose 3*w + 13 = 40. What is the highest common factor of x and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.036 - 54.614. Round l to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/56088 and -139\/56088.\nAnswer: 56088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17045690*x**3 + 36854975*x?\nAnswer: 102274140*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 - 3*q**2 - 8*q - 23. Let n(h) = 20*h**3 - 8*h**2 - 24*h - 68. Let b(a) = 17*f(a) - 6*n(a). What are the prime factors of b(-8)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**6\/q))\/((q*q\/q**(-4))\/q)*(q\/(q*q**(3\/4)))\/(q*q*q**1))\/((q*q**5)\/(q\/q**7))**(-14) assuming q is positive.\nAnswer: q**(621\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26 + 1957\/(-76) - (-13)\/(-20). Which is smaller: l or 2.508?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1387280704 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 11*g**9\/504 - 17*g**8\/336 + g**5\/12 + 41*g**3\/6 - 317*g**2. Find the third derivative of b(m) wrt m.\nAnswer: 1320*m**3 - 1020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 359.7738 + -359.3. Let v = -0.47 + i. Round v to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*m + 85*m + 229*m - 4572 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 greater than or equal to 936\/511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - -1.24. Let t = 0.48 + r. Let j = 0.14 + 0.36. What is the biggest value in -2\/5, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - k**3 + 856*k**2 + 6400*k.\nAnswer: -k*(k - 32)*(k + 8)*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26840 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 170\/(-218) - (-5)\/5. Let r be (8\/545)\/((-90)\/(-34075)). Let y = r + t. Find the common denominator of 109\/10 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-175)\/(-315) - 1306461\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 29*y**3 - 69*y**2 - 4*y - 13. Let g(s) = 13*s**3 - 34*s**2 - 2*s - 6. Determine 13*g(u) - 6*v(u).\nAnswer: -5*u**3 - 28*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + 3 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1655749619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-8 + 3 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4352 (base 8) in base 3?\nAnswer: 10010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*2 + 17. Let d be (-6)\/4*t\/84. Let j be 1\/(-4) - 2\/(-8). Which is the biggest value? (a) -1\/2 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (3 - 5)) + (-8 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-258)\/(-36) - 7\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 3. Calculate the least common multiple of 12*(15\/6 + -2) and b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113051 (base 6) in base 3?\nAnswer: -111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -19*n - 133. Let c be f(-7). Suppose 226 = -5*u - 3*m + 721, c = u - 3*m - 81. Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.87 + 2.094. What is m rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) + sqrt(80)*-2).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 + 21061. Let t(c) = -48*c - 2. Give y(t(b)).\nAnswer: -6912*b**2 - 576*b + 21049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 i when three letters picked without replacement from {m: 5, c: 2, f: 3, a: 1, i: 1, v: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1050 - 1621. Let p be (-74872)\/(-34) + 8\/(-68). Let u = c + p. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.119 - 0.019. Let o = h + -3.095. What is o rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5298141, -10596281, -15894421?\n\"Answer: -5298140*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 739818\/27*-3. What is a rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1847 (b) 2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 211 + 56. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -28*l - 844. Let a(g) = -5*g - 167. Give 11*a(c) - 2*n(c).\nAnswer: c - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.45437 months in years?\nAnswer: 2.3711975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:52 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 3*g)*(3 - 14*g + 8*g - 4).\nAnswer: -6*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 20*b**2 + 13*b - 7. Let x be v(-19). Let d = x - 27. Let c = d - -10. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1501?\nAnswer: -1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 2, -5, 1, 0.04, 0.17?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 + 0.35. Let i = j - 0.49000054. What is i rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96144 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(-4 + (sqrt(242) + 0 + 5 - sqrt(242)) + -3) + -2 + 2)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63 - 9?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 86*c**2 - 60*c + 119. Calculate g(2).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469 - -500. What is the remainder when 152 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*4*9\/(-36). Sort 6, -1, p in increasing order.\nAnswer: p, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.1147 - -0.1147. Which is the second smallest value? (a) -2\/7 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from ltggglggl?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 3:30 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 104?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010101010000011 + 1000?\nAnswer: 100010101010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -673.3 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059253 rounded to 5 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/2*3. Let h = -93 - -97. Which is the second biggest value? (a) q (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -176 - ab8?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 229 + -228.9. Which is the third smallest value? (a) 2\/7 (b) i (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/3204 and 73\/396.\nAnswer: 35244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21064 * -983.\nAnswer: -20705912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 8, -1, 3, 5, -42.\nAnswer: -42, -1, 3, 5, 8, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 2*v - 2506 + 6*v - 2*v + 576.\nAnswer: 11*v - 1930","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 times 59780\nAnswer: -32281.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 - 5*k**3\/2 - 9*k**2 - 19*k\/2 - 13\/4.\nAnswer: (k - 13)*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 22*k**2 - k + 1. Suppose 11 = -5*z - 4*h - 4, 5*z = 3*h + 20. Let v(j) = 8*j - 4. Calculate the least common multiple of p(z) and v(5).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.458 + -7.858. Suppose -v + 2 = 2*o - 2, 4*v - 2 = -o. Let t = 208\/15 + -44\/3. Which is the smallest value? (a) i (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/508*284\/(-781).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1034892 by 1292.\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24012211 + -5?\nAnswer: -24012216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 18*a**2 - 2. Let v be k(18). Let o be 22 + -1 + (v - -4). Let p(m) = -o*m**2 + 47*m**2 - 9 - 30*m**2 - m**3 + 6*m. Determine p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 2*h**4 + 17 + h - 33 + 33*h**2 + 38*h**2 + 2*h**3 - 22*h**2 as c*h**4 + f*h + g + r*h**2 + n*h**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 50*q + 1233346*q**2 + 49*q - 1233350*q**2.\nAnswer: -4*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 - (-4 + 2). Let b = 18 - u. Let -25 + 9 - 8 + 4*c + b*c**2 + 4*c**3 = 0. What is c?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) + (-68)\/16*10. Is (-2298)\/q + 4\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.998 to one dp.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 15\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 + 14*t**4 + 47*t**3 - 244*t**2 + 44*t + 320 = 0. What is t?\nAnswer: -5, -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1964 + -1964.3. Let h be (1 + 0)\/((-5)\/(-3)). Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f - 2*f**2)*((2*f**2 - 2 + 2)*(5 + 0 - 3) - 3*f + 3*f - f**2 + f**2 + f**2 + 0*f**2).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 40 = 8*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113 + 1112 - 694*g - 4910*g.\nAnswer: -5604*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 4\/(5028\/(-564) + 9).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -10. Let p = -17 - -25. Does 2 divide ((-14)\/p)\/(5\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21460816.\nAnswer: 2, 13, 103177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 84*a**3 + 2*a**2 - a - 4. Let h(f) = -f**3 + f**2 - 1. Let r(z) = -2*h(z) + k(z). Find the second derivative of r(c) wrt c.\nAnswer: 516*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6 + 23*d**2 + 29*d**2 + 57*d**2 - 5*d. Let n be z(6). What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 50, -5488, -1\/4, -1, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2669271 (base 11) to base 12\nAnswer: -16636b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.52 + 0.52. Which is smaller: -2\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/235 - -429\/235. Find the common denominator of (-6)\/8*130\/3 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.07 and -4?\nAnswer: -4.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, v: 11}. Give prob of picking 4 l.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/21*91*4\/26)\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -7 + 3 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -33*m**3. Let v be p(-1). Suppose -k = -6*k - 4*s + 101, k + 4*s = v. What is the remainder when 30 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165558875 - -0.03\nAnswer: -165558874.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzk when three letters picked without replacement from kkkkzzkk?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1. Let s(d) = -d**2 - 1. Let v(l) = 2*q(l) - 2*s(l). Let r(x) = 4*x. Determine v(r(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 1337 (c) 0.5 (d) 2 (e) -0.5 (f) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-12)\/((-1056)\/376)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 23*d**5 + 21*d**4 + 19*d**3 - 17*d**2 - 16*d - 14*d**5 - 1 - 3 - 12*d**3 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*l - 374*l + 6*l**2 - 378*l + 1128*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 15 + 70 = -5*a, -2*b + 2*a = -30. What is the highest common factor of 640 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3639a (base 11) to base 14\nAnswer: 15137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 93*t**3 + 14*t**4 - 21*t**4 + 82*t**2 + 5*t**4 - 13*t**3 = 0. Calculate t.\nAnswer: -1, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**2 - 385*f - 19600 = 0?\nAnswer: -35, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/5840045 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3298404 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-54)*3*(-9)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -5*i, 3*v - 3*i = -2*i + 15. Suppose -h + 34 = -v. Suppose -2*s + h = 2. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7514948.\nAnswer: 2, 7, 59, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**3\/6 - 17*f**2\/2 + 3*f. Let m be v(-12). Let o(q) = q**3 + 4*q**2 - 6*q - 4. Let t be o(m). Are t and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y - 1. Give h(12).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 2*d - 5*a, -2*d + 2*a = -64 - 80. Suppose -5*n - 103 - 12 = 0. Let l = n + d. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1172 * 24\nAnswer: 28128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 318, 319, 322, 327, 334, 343, 354?\n\"Answer: o**2 - 2*o + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3\/5, -2\/5, -1.6, 4\/3.\nAnswer: -6, -1.6, -2\/5, 3\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(704) + 1)*6 - sqrt(704)) + (0 + sqrt(704) + -5)**2 + 0.\nAnswer: -40*sqrt(11) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -67400 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q. Let s(a) = 5*a - 45. Let c be s(10). What is the units digit of (c + -22)\/(q - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12*j = -14*j - 2, -5*j + 45 = -5*c. Put 5, c, -23 in ascending order.\nAnswer: -23, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058700 rounded to the nearest 1000?\nAnswer: 1059000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9755657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {t: 2, f: 2, k: 2, x: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*a*n**3 - 24*a*n**2*u**2 - 23*n**3*u + 2*n**3 - 17*u**2 - 8*u wrt a.\nAnswer: -83*n**3 - 24*n**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 9*i**2 - 9*i - 6. Let c be (-2)\/(-6)*72\/8. Suppose c*n + 36 = -30. Let b be (-77)\/n*20\/7. Give f(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-18 - -17) + (11 - 0) + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (951 - 944)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71051777.\nAnswer: 269, 264133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + 3b1?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187)*-2*-4 - sqrt(187)))\/(sqrt(132)\/sqrt(588)))**2*-1.\nAnswer: -29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/45 and -55\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2\/21, -5, -80, 5 in descending order.\nAnswer: 5, 2\/21, -5, -15, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 7:26 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - d - 3*d + 2*d - 3 + 3 + (d - 2*d - d)*(-2 + 3 - 3) - 157*d - 56 - 59 + 117 as f + c*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-35 + 49)) + 16 + 0 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 3123\/791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 11. Let v(g) = g + 5. What is the lowest common multiple of v(n) and (-94)\/(-8) + 2\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301267126 a multiple of 9845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -903*l + 977*l - 1776 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 10:11 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9. Let z(j) = 2*j + 57. Is z(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 2*f + 10. Let s be w(-5). Suppose -s = 4*x - 5*d, -12 = 2*x + 10*d - 12*d. Which is the nearest to -2? (a) 0.1 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + 3*t**2 + 5*t - 6. Let d(m) = m**3 - 1. Let p = -74 + 75. Let i(v) = p*l(v) - 4*d(v). What is i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 7*k + 17. Let z = 213 - 209. Let w be d(z). Which is the biggest value? (a) -4 (b) w (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -25*c**2\/2 - 4. Let p(v) = v**2. Determine p(a(r)).\nAnswer: 625*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 113, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/((-6)\/14)*70932\/23644\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*g - 52 = 117, 0 = 3*m + 3*g - 102. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 2142\/12)*(-8)\/6?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*a - 7 = 7, -m + 12 = a. Suppose 3*h = 2*h + m*h. Solve 5*n = -h*u - 5*u - 10, -5*n = -3*u - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 4*l**2 - l - 1 - 2*l + 6*l. Let g be h(-3). Let f be (-1)\/(g + 5\/2). Which is bigger: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.03 - -3.97. Which is the fourth biggest value? (a) 1 (b) r (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -35. Solve -4 = -x*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-10)*(56 - (-72790)\/(-1305)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 - 8 + 483*j**3.\nAnswer: 483*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576126 is divided by 2775?\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 15.7. Which is the second biggest value? (a) 4 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + 27\/(-5). Let k be ((-126)\/(-15))\/((-1)\/a). Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 580 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 1983198*k + 39665160.\nAnswer: -3*(k - 20)*(k + 661086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 37*i + 4. Calculate z(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 11. Let d be 2\/(-27)*2\/(-2). Are d and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*m - 3901 = 22046 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/10 - 13*q**2. Let p(r) = -r. Let s(j) = 3*j. Suppose -25 - 19 = 4*i. Let k(x) = i*p(x) - 4*s(x). Determine k(t(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**2 + 14577*m - 1892 wrt m?\nAnswer: 6*m + 14577","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = -5. Let g be -1*3 + 12\/12. Suppose 15*b - 2 - 13 = 0. Sort n, g, b in decreasing order.\nAnswer: n, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000626746 to five decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-2\/3)))**(-1\/8)*((n*n**1*n*n)\/n)**(-12)*(n**5\/n)\/(n\/(n*n**(-1\/3)*n))*(n\/(n*n**(-1\/3)))**(-2\/9) assuming n is positive.\nAnswer: n**(-6829\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5752)\/(-55363) - 2\/(-7)*-1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014621928 rounded to four decimal places?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let m(v) be the second derivative of v**4\/12 + v**3\/3 + v**2 + 21*v. Let f(q) = -5*q**2 - 9*q - 9. Determine 4*f(w) + 18*m(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 6*l + 1 + 3*l. Let c be (-16 + 984\/60)*(-10)\/4. What is t(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxuk when four letters picked without replacement from {s: 2, u: 4, g: 1, k: 2, v: 1, x: 7}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 0*k**3 + 0 + 0*k**2 + 2\/13*k**4.\nAnswer: 2*k**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46 + 45)*(0 + 0 - 0). Let t = -0.7 - 0.3. Which is the second biggest value? (a) o (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001043492382 rounded to 7 dps?\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 9*w - 6. Suppose -g = -0*g + w*p + 4, -10 = -5*g - 5*p. Solve -t + 8 = -g*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3651338 (base 9) to base 8\nAnswer: 7437735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*p - 34. Suppose -2*b = -p*w - 0*b + 1410, 2*b = -2*w + 720. What is the remainder when w is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 696088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24.2789 millennia?\nAnswer: 2427.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/25 and 11\/85102240.\nAnswer: 425511200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -98, -132, -202, -320?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -423535, -1693936, -3811201, -6775330, -10586323, -15244180, -20748901?\n\"Answer: -423432*z**2 - 105*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 13*q**2 - 18*q + 98. Give g(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 12. Let w be g(-9). Suppose 0 = -4*h + w*h + 295. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*2\/(-110)*-95.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 17 + 2*j + 13 + 6.\nAnswer: 2*j + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426, -291, 402, 1653, 3462, 5829?\nAnswer: 8754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 30841?\nAnswer: 30845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011291 to five dps.\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 12*y**2 - 15*y + 15. Let s(w) = 2*w**3 - 14*w**2 + 15*w - 14. Let u(g) = 3*i(g) + 4*s(g). What is u(9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 + 130 + 48)*(-10 + 10 + 3*x).\nAnswer: 924*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1824\/(-64)*((-7)\/3 - -1). Suppose 4*v - t = 7*v - f, 15 = 3*t. Solve 0 = v*n - 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310\/8*8852\/68603\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u*u**(8\/7))\/u*u**(5\/9))**(-8\/13) assuming u is positive.\nAnswer: u**(-1864\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 9:23 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -563*m - 5. Let b(a) = 189*a + 2. Calculate 8*b(g) + 3*l(g).\nAnswer: -177*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6383304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-62568)\/(-924))\/79)\/((4\/(-14))\/2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 60 = 5*s. Calculate the greatest common divisor of 18 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (42 + (5 - 4 - (-17 - -22)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + -5*sqrt(196))\/sqrt(7).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -2*y. Suppose -4*f - 32 = 2*w, 0 = y*w + 5*f + 65 - 16. Let o be 10\/3*w\/(-15). Solve -3*z - o = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/25528 and 43\/5?\nAnswer: 127640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255 or 256?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j + 426750. Suppose j = w - 4*w. Let a = w + -151750. Round a to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*m*x*y - 12*m*x + 6*m*y + m - 8*x*y - x + 2*y + 7 wrt m?\nAnswer: -63*x*y - 12*x + 6*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6662, 6663, 6664, 6665?\n\"Answer: t + 6661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 36 + 159 - 42 + 7*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 2*s**2 + s**2)*(0*s - 3*s + 5*s) + 5*s**3 - 3*s**3 - s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(117) - sqrt(117)) - ((-2*sqrt(143)*4)\/sqrt(11))**2.\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 l, and 1 t when four letters picked without replacement from {t: 10, s: 3, l: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let z(y) = 5*y**2 - 27*y + 54. Let p(q) = g(q) - z(q). Factor p(v).\nAnswer: -3*(v - 6)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10*z = -492. Let q be (-4)\/12 + z\/3. Calculate the highest common divisor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72445\/4 - 17997. Suppose -2*n - 483 = -4*z - 15, 3*n = -z + 103. Which is bigger: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - (-10058)\/235)\/((-8)\/(-190)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2835*g**2 - 5665*g**2 + 2828*g**2. Let w(h) = h - h + 2*h**2 - 24*h**2. What is w(o(s))?\nAnswer: -88*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*h**2 + 3)*(-8 - 4 - 3)*(4*h**2 - 3*h**2 + 0*h**2).\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -x + 5*m - 7, 0 = -2*m + 6 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/106914 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 39 = -r, r + 2*t + 29 = -t. Let l be (r\/(-5))\/((-1)\/5). Let j = 1 - l. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6340903111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944.3361 litres to millilitres.\nAnswer: 944336.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 149 = g, 2*c - 2283 + 4556 - 2334 = -g for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-2*4)**2 + ((sqrt(1584) - (-1 + sqrt(1584))) + 4)**2 - ((sqrt(33)\/sqrt(3))**2 + 2 + (sqrt(44)*4)**2).\nAnswer: 100684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(102) + sqrt(102)))\/((sqrt(96)\/sqrt(4))\/sqrt(4)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = j - 89 - 85, 0 = 5*m - 2*j - 290. What is the highest common factor of 319 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.31 in 0.45, 1\/3, -78, -2\/9, -0.02?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -505694973?\nAnswer: -505694977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 0.04\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*p**3*r + 1093743*p**3*u**3 + 78*p**2*u**3 - p*r*u**2 + 4*p*r + 3*p*u**3 + 2*p*u + 3*p - 144*u**2 wrt p?\nAnswer: 150*r + 6562458*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f + 39*f - 7 = 0. Let l(q) = q**2 - 6*q - 45. Does 16 divide l(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s + 42. Let y be o(-6). Suppose 5*j - 90 - 30 = y. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**5 + 288*z**4 + 2252*z**3 - 3096*z**2 - 5056*z = 0. What is z?\nAnswer: -8, -1, 0, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.3 (c) 5 (d) 0 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.64 - 5.64. What is the third smallest value in -4, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 - (11 + -19 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 646 and 1?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2893ad (base 14) in base 8?\nAnswer: -5276635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-7 + (-10 - -16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let x(c) = 2152*c - 1591. Determine x(z(a)).\nAnswer: -4304*a**2 - 1591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 74\/14 - (-2997)\/(-2331). Let d = 6 + -4. Let i be (d - 2) + (-9)\/6. Which is the nearest to -3? (a) i (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0*k**2 + 1\/5*k**5 + 0*k**4 + 0 + k + 1\/3*k**3. What is the second derivative of l(t) wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -5*l**5\/4 + 5*l**4\/12 + l**3\/6 - 9*l**2 + 114*l. What is the tens digit of h(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = r - 23175, 0 = 5*p - 516 + 546. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4599 + -4603. Put -0.4, -12, 3, u, 3\/7 in increasing order.\nAnswer: -12, u, -0.4, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -1\/4*c**4 + 38*c + 0 + 0*c**3 - 1\/180*c**6 - 1\/24*c**5 + 0*c**2. Let p(d) be the third derivative of s(d). Give p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 2\/73, 4, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*o - 7, -3*o - 1 = -u + 5*u. Let i be u - (36\/(-4))\/3. Which is smaller: i or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816781 to the power of 1\/2, to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*j - 35, -4*a - 30*j = -26*j - 64. What is the smallest common multiple of -2*(196\/(-8))\/7 and a?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 27*l**2. Let r(a) = 38*a**2. What is m(r(s))?\nAnswer: 38988*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and 540.\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 815057494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47531\/4 + -11881. Suppose 3*d - 1 + i*d**2 = 0. Calculate d.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119149186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(6\/5))\/o)**(-22)*((o**1\/o*o*o)\/o*o)**(-24))**(12\/13) assuming o is positive.\nAnswer: o**(-5784\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10920 divided by -56\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 20 (b) -6\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -760779 divided by -3.\nAnswer: 253593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 125 + 507*c**2 - 245*c**2 - 260*c**2 as u + t*c + b*c**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - (18 + -16) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 313005011 (base 6) to base 12\nAnswer: 19b3767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 51*f**2 + 2 + 253*f**2 to d*f + w + j*f**2 and give j.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(2*h + 6*h - h - 3*h - h + 5*h + (2 + 0 + 0)*(2*h + 0 + 0) + h - 3*h + h + 3 - 3 - h) in the form c*h + z and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, 2 in descending order.\nAnswer: 2, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:12 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 6 - 1) + -1. Let u(z) = z**2 + 16*z + 21. Let i = -177 - -162. Let y be u(i). Solve -p*f - f = y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6885 and 1189890?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80657.24ml to litres.\nAnswer: 80.65724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19286270.7*-0.1.\nAnswer: 1928627.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11004, -11003, -11002, -11001?\nAnswer: -11000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1349604?\nAnswer: 1349602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/12)\/((-46)\/(-414))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*((i\/(i**(-2\/11)\/i))\/i)\/i)**(-35) assuming i is positive.\nAnswer: i**(-455\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122001020210010102 - 11?\nAnswer: -122001020210010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*v**3 + 24*v**3 + 17*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 8:18 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 794.3 - 767. What is the closest to -1 in 1, 3, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -194, -485, -1028, -1901, -3182?\n\"Answer: -13*w**3 - 9*w**2 + w - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b62 + -34bb?\nAnswer: -1859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*(5\/6)\/(284\/(-213)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 806869053*r**3*t - 6914*r**2*t + 111*r**2 - r*t + 5*r wrt r?\nAnswer: 4841214318*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 1\/5 (c) -176\/9 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -5977425?\nAnswer: -5977424.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3740*p + 18610. Give h(5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from vovoovvqvov?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-68)\/1224)\/((-74)\/12).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-119 - -134 - 73).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 37*s**3\/6 - 3*s. Let m be z(1). Is (-2 + 5 - 3) + m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50355013 take away -60?\nAnswer: 50355073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 159*b + 1138. Determine q(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619950.\nAnswer: 2, 5, 179, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - p = -26, 143127*m - 143125*m - 7*p = 8 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*p - 46, 5*p - p - 1 = s. Suppose 3*w = 4 + s. What is the lowest common multiple of 9 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6759040 by 640.\nAnswer: 10561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g. Let u(i) = -61*i - 7. Calculate -u(t) + 2*y(t).\nAnswer: 71*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1479 + -644980.21.\nAnswer: -646459.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002429451 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294248305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/115 and 39\/3147734?\nAnswer: 15738670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, 3, 0, -6411 in increasing order.\nAnswer: -6411, 0, 8\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-18)\/42 + (-31)\/(-56)). Let v = 845 + p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.747768507 to 3 decimal places.\nAnswer: -0.748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/21)\/(-2))\/(75*(-7)\/(-10290))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/120 - 2*r**5\/15 - 11*r**4\/24 + r**3\/2 + 13*r**2. Let x be q(-6). Is 10 a factor of 4\/(-28)*x + (-694)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v*((v\/(v**(-16)\/v))\/v)\/v)\/v)*v*v)\/v)\/(v**41\/v))\/((v\/v**(18\/7))\/v**(3\/16)))**37 assuming v is positive.\nAnswer: v**(-216487\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + z = -66, 3*z - 2*z + 130 = 4*i. Suppose 0 = -4*y + 4*p + 16, 3*y + 4*p + 13 = -3. Put -4, -2, i, y in increasing order.\nAnswer: -4, -2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*n*s*x*y + n*s*y - 130*n*x*y - 32*n*y + s*x*y - 1653*s*y + 3*y wrt s?\nAnswer: -8*n*x*y + n*y + x*y - 1653*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 14*c**2 - 2*c + 5. Is z(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38595542 * 4.\nAnswer: -154382168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 58*t + 183. Let i be y(-61). Let p(r) = -r**2 - 22*r - 12. Calculate p(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64102, 64097, 64096, 64099?\n\"Answer: 2*h**2 - 11*h + 64111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-four fifths of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79323020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 783 - 1332. Let z = d + 599. What is the remainder when 499 is divided by z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -124*s + 2971. Give d(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1711, 1600, 1499, 1414, 1351, 1316, 1315?\n\"Answer: m**3 - m**2 - 115*m + 1826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*16\/(-24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7536 divided by 7536\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*k**3\/15 - 26214*k**2\/5 + 1094814*k\/5 - 11473938\/5.\nAnswer: 2*(k - 21)**2*(7*k - 39027)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 10:33 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/14 - (-2050)\/5453).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18855, -150606, -508159, -1204416, -2352279?\nAnswer: -4064650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -18*c + 1184. Determine x(84).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4517773 divided by 6557.\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/12 - 2*t. Let i(v) = 17*v. Give d(i(f)).\nAnswer: 289*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 1264*o**3 + 18880*o**2 - 96000*o.\nAnswer: 4*o*(o - 4)*(o + 20)*(o + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 771, 1153, 1533, 1911?\nAnswer: 2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 + (-2 - 0) - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.554428 microseconds?\nAnswer: 0.000004554428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5\/3, -0.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3260368 from 168177.\nAnswer: -3092191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, 10, 2\/375155?\nAnswer: 2\/375155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236530819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2575249053?\nAnswer: 3, 13, 66032027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -y + 2. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87.4 + -107. Let g = a + 23. Let b = -3 + g. Is b >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4245753 - 9173036. Let t = c - -3427283. What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -433, -870, -1307, -1744, -2181?\n\"Answer: -437*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 413311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -5*b + 2*t, -14*b - 5*t - 51414 = -51189 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 4. Let b(l) = -2*l**2 + 1017*l + 24. Determine -b(z) - 6*y(z).\nAnswer: 2*z**2 - 1011*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 7*v + 5. Let c(n) = -6*n**2 - 36*n + 26. Let q(j) = -2*c(j) + 11*w(j). Calculate q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19107 is divided by 600?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 32509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 61\/2 of a day?\nAnswer: 43920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 26591*w + 707081281\/2.\nAnswer: (w - 26591)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -5, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.70146cm to micrometers.\nAnswer: 997014.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 68*g + 320. Give i(0).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15872, -31675, -47478, -63281?\nAnswer: -79084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a = -w + 12, 4*w = 4*a - 12. Suppose 244 = w*q - 2*f, -217 = 5*q + f - 815. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179 and 1267141.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**3 - j**2 + j. Suppose -9 - 6 = -3*p. Suppose p*f = -3*s - 17, 6*s + 17 = s + 3*f. Let w = s - -5. What is z(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + -11. Find the common denominator of 59\/15 and (-136)\/f*14\/(-6).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.103\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 + (15 - (20 - 13)) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*o**2 - 8*o**2 + 216*o**2.\nAnswer: 326*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -909*o - 19. Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-10) - (-4)\/(-20). Suppose p = 1 - t. Let j(x) = -1 + 3*x**3 + 2*x + 0*x - 2*x**3 + 5*x**2. Determine j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1620926769 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2273 - -2276. Suppose -2*k = 2*k - 80. Suppose 0 = -4*m - m + k. Solve -f*s - m = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*4\/6*-4. Suppose 5 = 9*w - 10*w. Let c be 0*(-1)\/w + (38 - -2). What is the highest common factor of c and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-9 - 3) + (56 - 62) + -8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32500, -32499, -32498, -32497?\n\"Answer: n - 32501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4 and 79\/378466.\nAnswer: 756932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -239400098 divided by 1\nAnswer: -239400098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**18)\/o*o\/o**(-7\/5) assuming o is positive.\nAnswer: o**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 5*p**2 - 11*p + 7. Is l(7) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 38*l**2 - 78*l - 85. Calculate h(40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/12*1 - (-1167)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -51. Let f = -26.104 + l. Let r = f + 0.16. Round r to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23138361 + -87.\nAnswer: 23138274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:06 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -352.9 + 353. Let x = -0.26 - -0.13. Let d = x + -0.87. Which is the closest to h? (a) -5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -a7b4?\nAnswer: a7b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15158 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-3 - (-16 - -10) - -5)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/(p\/(p*p*p**(1\/12))*p)*p*p)*p*p)\/p**(-7))\/(p*(p*p*p**(1\/3)\/p*p)\/p)**(-24))**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3215, 6371, 9557, 12791, 16091, 19475, 22961?\nAnswer: 26567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 21821\nAnswer: -6546.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 23*r + 60*r + 5 + 35*r + 4*r**3.\nAnswer: 5*r**3 + 72*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31624 - 31457. Sort 0, s, -10, 5 in ascending order.\nAnswer: -10, 0, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -8. Let z(v) = -2*v + 1. Let x(l) = 1. Let k(c) = d*x(c) - z(c). Let t(u) = -4*u + 4*u + 2*u. Calculate k(t(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 24 = 34. Let f be z\/8 - (-2430)\/8. Differentiate 304*t - f*t + 3 - 11*t**2 wrt t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 18 = 3*q, 4*q + 28444 = -5*z + 28430 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2801*p**6 - 51*p**3 + 204600*p**2 + 3 wrt p.\nAnswer: 336120*p**3 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:52 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 4\/9 (c) -2\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -375*d + 290. List the prime factors of w(-8).\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 9*p = 5. Let x = 2839\/3 - 937. Let c = 143\/15 - x. Put c, -1\/11, p in decreasing order.\nAnswer: c, -1\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 129832821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*d + 30*d - 640. Suppose -163 + d = -7*o. Calculate the least common multiple of 31 and o.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666239 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247606, -495198, -742742, -990238, -1237686, -1485086, -1732438?\nAnswer: -1979742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/4 + 4)*-1. Let z(t) = -3*t**3 + 7*t**2 - 6*t + 7. Let j(d) = d**3 - 3*d**2 + 3*d - 3. Calculate x*z(i) - 7*j(i).\nAnswer: 2*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9386918350 plus 0?\nAnswer: 9386918350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -161645 (b) 3 (c) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**2 - v. Let m be i(-1). Suppose 0 = -0*z - 2*z - m. Let c(r) = r + 1. Let l be c(z). Let u(f) = -f**3 - 4*f**2 - f + 2. Calculate u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 11 + (-42 - 2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 + (-207936)\/(-1584) - 140\/(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*w**4 + 118648*w**3 - 293357148*w**2 + 390773808*w + 390931984 = 0. Calculate w.\nAnswer: -2\/3, 2, 4943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z - z**3 + 2057130*z**2 - 2057130*z**2.\nAnswer: -z**3 + 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.05. Let n = -0.0268 - -2.9968. Let v = n + d. Which is the second smallest value? (a) 0.4 (b) 2\/11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.6 - -9. Let h(j) = j**3 + 4*j**2 - 8*j - 11. Let p be h(-5). Which is the second biggest value? (a) 4\/3 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0)\/(m*m**1*m))\/(m**2*m\/(m\/(m*(m**(-2)\/m)\/m))) assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 5*s + 26 - 113 + 42.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 33. Put 2, -4, h in decreasing order.\nAnswer: 2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 10*q**2 + 7*q - 3. Let j = -6 + -3. Let d be z(j). Solve 3*r - 12 = -t - 0*t, -3*r - 2*t + d = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2242687*d - 164546?\nAnswer: -2242687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/36 + 2 + (-13 - 14542\/198) - 12.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -116850, -467347, -1051568, -1869561, -2921374, -4207055, -5726652, -7480213?\n\"Answer: -8*b**3 - 116814*b**2 + b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 239*y**2 - 2301*y - 28. Determine p(9).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9337607 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1996620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16*(-255)\/(-720) - 10\/6. Factor -40\/3*t**2 - 50\/3*t**5 - 208\/3*t**3 + 0 + 0*t - 290\/3*t**j.\nAnswer: -2*t**2*(t + 5)*(5*t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1635445629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21046 divided by -11051\nAnswer: -21046\/11051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 749 = 737, p = -3*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose j = -b*j. Suppose w - 6*w = -10. Solve j = -2*s - 8 - w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 11*a**2 - 26*a + 5. Give k(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = 2*f - r, -4*f - 3*r + 5 = 0. Let p(y) = -4 - 3*y**f + 0*y + 3*y**3 - 4*y**3 + 0*y**2 - 3*y. Calculate p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(5\/(-15) - -1). Solve -3*y - 2*r - 17 = 0, j*r + 12 + 0 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2*(-3)\/(-6). Suppose -3*p + n = 178, p - n + 4*n + 66 = x. Let k = p + 208. Calculate the remainder when k is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -13. Suppose -3*w + 5*y = 8, 37*w - 3*y = 33*w + 4. Suppose 5*k + 6 = -w, 4*m = 3*k + 26. What is the remainder when v is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13034\/(-126))\/(-7) - 15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 211, -1, -10.\nAnswer: -10, -2, -1, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imm when three letters picked without replacement from dmdimiiddd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*w + 106. Let p be (-14)\/(-35) + w\/(-5). Let y be 216\/40 + 2\/(-5). Put p, -1, y in ascending order.\nAnswer: p, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27360 divided by -4560?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2 - 1 + 3*h + 2*h**2 - h**2. Let b = 748 - 751. Calculate d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 + 711\/81)*6. Let d = 2 + -2.5. Sort 0.2, 4, d, a in descending order.\nAnswer: 4, 0.2, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -75 - (-11 - 64)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 11*m - 6. Let r be x(10). Let g(b) = b**2 + 15*b + 6. Let o be g(-14). Let z = o + 9. Sort 2, r, z in decreasing order.\nAnswer: r, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 3 + 3)*(-5*x - 2*x + 3*x + (-7*x - 3 + 3)*(4 - 5 - 2)).\nAnswer: -51*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4543*m - 3046*m**4 + 1 + 7049*m - 1 - 281*m**4 wrt m?\nAnswer: -39924*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601441053 to the power of 1\/2, to the nearest integer?\nAnswer: 51004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15758 to 3 decimal places.\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 6*1*sqrt(80) + sqrt(80))\/(2*sqrt(8)*2))\/(sqrt(10)\/(sqrt(5) + (sqrt(60)\/sqrt(2))\/sqrt(6))*-5).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/21)\/3 - (-144)\/(-28). Which is bigger: 14 or o?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*m = 61, -73 = -4*f + 2*m - 3*m. Suppose 0 = -i - 6*i + 343. What is the remainder when i is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53\/4? (a) -4 (b) -6\/7 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(5\/4))\/(f\/(f**(-5)*f)))\/(f**(2\/13)\/f**(1\/2)))\/((f**(1\/2)\/f)\/f**(-7))**(-9) assuming f is positive.\nAnswer: f**(2787\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200992883 to the power of 1\/2, to the nearest integer?\nAnswer: 64815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a2468 (base 16) to base 15.\nAnswer: 65ea74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (-1 + sqrt(1872) + -2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**8\/2240 - l**7\/1260 + l**4\/6 + l. Let z(g) be the third derivative of x(g). Find the third derivative of z(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 12:56 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.3 (c) -6 (d) 1038\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -24*l**2 - 46*l**2 + 81*l**2. Let w(g) = -17*g**2 + 8. Let x(s) = 6*s**2 - 3. Let y(p) = -3*w(p) - 8*x(p). Give u(y(v)).\nAnswer: 99*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249299 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**2 + 3*g - 5. Let v be a(2). Suppose 7*f + 17 = v. Let x be f - (-5)\/110*-36. Is 1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3302 + 7054. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-22)\/((-440)\/(-20)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.9? (a) -0.051 (b) 1 (c) 72 (d) -4 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (22 + -115)) + -13?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/8 (c) 3.6 (d) -4 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n**3 + 3*n**2 + 12*n + 1. Let i(r) = 7*r**3 + 2*r**2 + 11*r. Let m(k) = -2*g(k) + 3*i(k). Does 5 divide m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/88 and 109\/14?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260 divided by -10?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 244110*b - 245684*b + 4.\nAnswer: -1574*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 - -70. Let i = 5 + r. Which is the closest to -2\/5? (a) -0.3 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 864807897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5080\/(-762))\/(14\/36))\/(18\/(-63)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from zzydnznnnnhz?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-8) - (3 + (-52)\/16). Factor 14*j + 4*j**4 - 4*j**b + 2*j - 6*j**2 - 8*j**2 - 2*j**2.\nAnswer: 4*j*(j - 2)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*c - 110*c + 2958 = -327 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-1\/6)))\/v*v\/(v*v**4))**(-33\/5))**48 assuming v is positive.\nAnswer: v**(7656\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*t - 15 = 11, -g = -2*t + 8 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0*j**4 + 2*j + 10 - 4\/3*j**6 - 5*j**3 + 0*j**5 + 1\/2*j**2. Find the second derivative of w(d) wrt d.\nAnswer: -480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1731904329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 2348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 18044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -11ba44?\nAnswer: 11ba49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.76 - -22.76. Which is the third smallest value? (a) -21 (b) -2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8898 + 8897. Let b(c) = -40*c - 6. Give b(n).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**5\/12 - 15*k**2. Let l(o) = o**2 + o**2 + 6*o**2 - 7*o**2. Give l(b(q)).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*w - 0*w - 13, -4*z + 4*w = -16. Suppose -24 + 9 = -z*k. Sort -3, -4, k in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52e0714 + -2?\nAnswer: -52e0716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**0\/c))**(-4\/5)*(c\/c**(1\/3))**(-34))\/((c**0\/c)\/c*c**2*((c\/c**(2\/9))\/c)**20) assuming c is positive.\nAnswer: c**(-892\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -23) + (-1 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-32) + 6)*100\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y - 1. Is a(-7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 0. Suppose -4*y + y - 4*r + 7 = f, 4*y - 14 = -3*r. Solve y*g - 22 = 3, g = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/5, 86, 21, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80761747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (122 + -46 + -21)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-1)*f)))**(6\/31))**(2\/77) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4970)\/(-213))\/(1\/24). Calculate the highest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-12)\/8)*254. Let y be (10\/15)\/((-4)\/426). Let f = k + y. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 - 3*x**3 - 2*x**4 + (1 + x**2 - 1)*(x - x - 2*x**2) + 127*x**4 - x + 1449*x**2 - 1449*x**2.\nAnswer: 123*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10790521 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-5)*p*p*p**(10\/3) assuming p is positive.\nAnswer: p**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*k + 300 + 190, 310 = 3*k - h. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3348.18 - 3389. Let y = b + 0.42. Round y to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68232662*t**2 + t + 19674922 wrt t?\nAnswer: -136465324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(13\/(-65)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/10, -36\/17, -1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8d96 - 32?\nAnswer: 8d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(1900)*-5 - (5 + sqrt(1900)*2) - ((sqrt(1900) - 5*((sqrt(1900) + 1 - sqrt(1900)) + sqrt(1900))) + -1*sqrt(1900)*3)))**2.\nAnswer: 200*sqrt(19) + 190001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004012771 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8)*8\/(-6). Suppose 2 = c*y - y. Suppose y*o - 5*h - 1 - 7 = 0, -3*o + h = -12. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/12 in 14, 0.02, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 21103131?\nAnswer: -21103140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose -1 = 4*t + 3, w*u = 2*t + 53. Let o(c) = 8*c + 217. Calculate the remainder when o(-23) is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (435\/(-3828))\/((-15)\/(-72)*1)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.98 + -0.02. Let p = 7.96 - 1.8. Let o = p - 1.16. What is the second biggest value in -0.3, y, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x + 7. Let g be y(10). What are the prime factors of 15 + g + (-3)\/(1\/1)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 171281550 to the nearest 1000000.\nAnswer: 171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*o - 3268, 3*o + a - 1623 - 3259 = 0. Suppose 4*g + 625 = o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 - 2 = 0. Suppose v*p - 12 = -3*l, 2*l = 3*p + l + 4. Solve t + 2 = -p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 take away -1164709?\nAnswer: 1164960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 247*w**2 + 117*w + 118. Determine c(-1).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 + 26268*l**4 + 131436*l**3 - 183966*l**2 - 131433*l + 157698 = 0 for l.\nAnswer: -6, -1, 1, 8761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 10:29 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41958472477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211819692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255568?\nAnswer: 2, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 1, o: 1, m: 1, y: 1}. What is prob of sequence oy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1194*p + 2 - 1320*p - 2. Let l(n) = -6*n + 2. Determine w(l(b)).\nAnswer: 756*b - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52739, 211104, 475095, 844712, 1319955, 1900824?\nAnswer: 2587319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2457 - -242. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -10*n - 807. Let g(r) = 6*r**2 + 5*r - 36. Determine w(g(o)).\nAnswer: -60*o**2 - 50*o - 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 629 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -247\/15229 or -1?\nAnswer: -247\/15229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -401, -3, 2, 4, 5 in descending order.\nAnswer: 5, 4, 2, -3, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -7*k + 180. What is k rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2205*c + 7560 = 1575*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 6*a + 1. Let l be t(-6). Let c be 0\/(-1*(l - 3)). Solve c = s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6619*l - 6623*l = 36 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -11.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*3\/(-30)*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 3:19 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, o: 5, p: 2, t: 2, e: 2, q: 3}. What is prob of picking 2 q, 1 t, and 1 o?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.26608 decades to years.\nAnswer: 932.6608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236 or -223?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*w - 3 = 0, 2*w + 10 + 11 = -3*n. Let v(a) = -a - 4. Let f be v(n). What is the greatest common divisor of 11 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 7*j**2 - 4*j**2. Let u(b) = 12*b**2. Calculate q(u(k)).\nAnswer: -1440*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 15, s + 3*q + 690 = -6*q + 726 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 214*j**2\/7 - 7110*j\/7 + 68850\/7.\nAnswer: -2*(j - 45)**2*(j - 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8451 + 8450.9. Put 0, -7, j, 3, -2 in decreasing order.\nAnswer: 3, 0, j, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-8)\/v*v*v**13\/v)**(-1\/8) assuming v is positive.\nAnswer: v**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -139*y**2 - 8*y - 12. Let d(k) = 857*k**2 + 49*k + 73. Calculate -6*d(h) - 37*o(h).\nAnswer: h**2 + 2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5438 * 2.\nAnswer: -1.0876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 3. Let u(x) = x**2 + 5*x - 9. Let p be u(-7). Let i = 214 - 214. Let m(g) = 4*g + i*g - 1 + p - 7*g. Calculate 7*l(b) + 5*m(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) 0.5 (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006934443 rounded to five decimal places?\nAnswer: 0.00693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (33 + -89) - (-6 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -933 - -1556. What is the highest common divisor of m and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343337058?\nAnswer: 2, 3, 19074281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 31\/(2015\/900)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2165, -5, 9654, 3 in decreasing order.\nAnswer: 9654, 2165, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 90, 145, 208, 279, 358?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.8, -1.59, -37\/2?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 45. Let o be t(-16). Suppose -3 = 3*s - o*f, 4*s + 2*f - 1 - 19 = 0. Suppose 48 + 156 = s*d. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2922 (b) 3\/5 (c) -7\/111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -288, -654, -1418, -2718, -4692, -7478?\nAnswer: -11214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*(-13*3\/15 - -3). Let q be c\/2 - -2*2. Find the common denominator of 14\/(-35)*17\/q and -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10}. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + -1 + 3)*1.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303506411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 - -3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 327, 4, -3 in ascending order.\nAnswer: -3, 2, 3, 4, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 8*p - 7. Suppose 5*j - 2 - 5 = -3*g, j + 22 = 2*g. Let s be h(g). Suppose -6*k + s*k = -112. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*m**2 + 727*m**4 + 9*m**2 - 710*m**4 wrt m.\nAnswer: 408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -17855\/6, 2, 175 in ascending order.\nAnswer: -17855\/6, 2, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -153 - 151. Suppose 2*q + 17*q = v. Solve -3*o + 5*w - 9 = 2*w, -q*w = 3*o - 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = -0*m. Let w(k) = -k**3 - 6*k**2 - k - 4. Let d be w(m). Factor 1\/5*t**4 + 1\/5*t - 1\/5*t**3 + 2\/5 - 3\/5*t**d.\nAnswer: (t - 2)*(t - 1)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 12\/676933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 6*m + 12. Sort -0.2, -4, m in decreasing order.\nAnswer: m, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34164, -4, 0.1.\nAnswer: -4, 0.1, 34164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f + 53*f**3 + 21*f.\nAnswer: 53*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22064 + -13196. What are the prime factors of 5\/(105\/(-6)) + x\/21?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1140\/(-760)*71\/(-3) + (-1)\/2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-140)\/21) - 19\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*f + 2*u, 5*u - 7 = f - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/4 - 4845*j + 4153600.\nAnswer: 5*(j - 2596)*(j - 1280)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 30*y**2 - 33*y + 45. Calculate the remainder when r(-29) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*y + 11*y + 3*y - 73*y**2 - 3 + 134*y**2 to h*y + n + b*y**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - 122 - (-1 - 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irwifrwriifiwriu. What is prob of sequence rir?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = -0. Let b be -88*(34\/(-16) + 2). Suppose 2*n - 8*s = -b*s + 9, -4*n = -3*s + 9. Solve n = -2*l - i - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 128 - 18. Let h = g - 100. Solve -5*r = 15 - h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (16 + (4 - 5)) - (6 + -1)) + 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - ((2 + sqrt(117) - sqrt(117)) + sqrt(117)))*-6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*z**3 - 2010*z**3 + 670*z**3 + 672*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-2\/7))**(13\/3))**34)**(-1\/68))**(-16) assuming y is positive.\nAnswer: y**(-208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, d: 1, y: 2, u: 8}. Give prob of sequence uy.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 3*o**2 - o**2 - o**2 - 1 - 3*o. Suppose -53*i + 8*i + 22 - 67 = 0. Let f(p) = 4*p**2 - 10*p - 5. Calculate i*f(k) + 6*s(k).\nAnswer: 2*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.1 - 67. What is the biggest value in 0.2, k, -4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37050 divided by -6?\nAnswer: -6175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**7*j)\/j**(-7))\/((j**(1\/7)*j)\/j**5))**(-9\/10) assuming j is positive.\nAnswer: j**(-1251\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 16400, 1 in increasing order.\nAnswer: 1, 29, 16400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93.00169 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/1984*(-16)\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 2*b. Let j = -16 + 18. Let l(y) be the third derivative of -y**4\/24 - 2*y**2. Calculate j*l(c) - h(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 23*n + 259. Let r be p(-11). Suppose 4*k - 8 = 24. Is r > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9282 divided by -273?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 7*i - 7. Let s be ((-27)\/15 + 3)*5. Suppose 5*l + s = -29. What is k(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31286 - -7?\nAnswer: 31304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51429333.\nAnswer: 3, 19, 43, 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 951 in -10, 1, 0.06, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 230\/(-4)*36\/45. Let q = 108 + g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 14. Suppose -3*s = 3*w, -f*w - 14 = -2*s + 4. Suppose s*c + 27 = 2*q, c + 15 + 43 = 3*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 768147060?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 110204, 220545, 330888, 441233, 551580, 661929?\n\"Answer: m**2 + 110338*m - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139382 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: Calculate the remainder when 5306 is divided by 758.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -694 - -623. Which is bigger: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175140, -175135, -175128, -175119, -175108, -175095?\nAnswer: -175080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/2 - (171\/(-17) - (-23)\/391).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120276 >= 1120279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 0*l**2 - l**3 + 0*l + 3\/4*l**4 - 1. Find the third derivative of b(c) wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 divided by 1?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -31, -5, 1, -2.\nAnswer: -31, -5, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 9*k + 2*k - 55 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11486 + -11483. Factor 2\/3*a**4 + 2\/3*a + 0 + 2*a**v + 2*a**2.\nAnswer: 2*a*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261553458.\nAnswer: 2, 3, 733, 59471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/15 - 34*r**3\/15 - 34*r**2\/3 - 82*r\/5 - 36\/5 = 0.\nAnswer: -9, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 - -69.984851.\nAnswer: 70.174851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -408 and -84.\nAnswer: 34272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-41) assuming j is positive.\nAnswer: j**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 830, 838, 846?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112097*h + 162 + 486 = -112085*h for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*v**3 - 82*v**3 + 25*v + 23*v - 48*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 8*u - 23*u)*(1 + 3 - 1)*(1 - u + u + 3*u).\nAnswer: -243*u**2 - 81*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36370043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:29 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 - 14*u + 28. Let k(j) = j**2 + 5*j - 10. Let h(n) = -14*k(n) - 5*p(n). Let l(g) = -2101*g**2. Calculate l(h(q)).\nAnswer: -2101*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206483 by 1.\nAnswer: -206483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2*-2)\/(sqrt(12)\/sqrt(27)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3287 = 4*j + 11342, j + 58621 = -4*g. What is g rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21184281879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.179150445 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*g**4 - 19*g**3 + 2*g - 2989?\nAnswer: -28*g**3 - 57*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215454682.\nAnswer: 2, 3, 7, 19, 2776259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, n: 1, z: 6, t: 3}. Give prob of picking 3 z and 1 t.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74580 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 4 + (2 - 4). Suppose x*a - a - 16 = 0. Suppose a*j = 9*j - 160. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 5*n**2 - n**2 - n**2 - 84994*n**3 - 1.\nAnswer: -84994*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3359430*k**2 + 2820344.\nAnswer: -6718860*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*z**3 + 156*z + 1154*z**3 - 574*z**3.\nAnswer: -15*z**3 + 156*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -14.2. Which is greater: -2\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011001012100 (base 3) to base 11.\nAnswer: 710405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 807269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:21 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 5.9 (c) 4.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 326 + -8198?\nAnswer: -7872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -832*t**5 - 246*t - 1.\nAnswer: -16640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 - 6 = 0. Let g(p) be the second derivative of 1\/20*p**5 + 1\/12*p**4 + 0 - p**2 + 0*p**3 - 16*p. Calculate g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1184940180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*b = -222, -3*p - 4*b = -149 - 38. What is the greatest common factor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 5. Suppose -2*g = -3*a - 0 + 4, 0 = -5*a + 3*g + 6. Suppose a = -2*n + 4*n. Let c be -2 + n - (1 + 1). Calculate q(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((14\/4)\/(-7)). Solve -q = o*g, -5*q + g + 11 = -0*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -44\/5 (c) 0 (d) -2\/9 (e) 4066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (1 - (0 + 1)). Let k(f) = 9*f - 13. Let n(y) = -1290 + 640 + 2*y + 646 + y. Calculate g*k(q) - 7*n(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 13*r**2 - 8*r - 70. Let b be i(11). Is b < 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 699544?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -38. Which is the biggest value? (a) 2\/29 (b) s (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -18, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/57 or -1\/367891?\nAnswer: -1\/367891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17380*t**3 + 30912*t**2.\nAnswer: 104280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 1 - 25. List the prime factors of j\/(-24) - (-89)\/4.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000685 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let y be ((-2)\/1 - -1) + (-3)\/(-3). Put l, y, -1 in ascending order.\nAnswer: -1, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*a = 2 + 3, 5*u = -5*a + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpd when three letters picked without replacement from {p: 1, d: 1, z: 9, g: 5, c: 1}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 398047, 0, -14 in descending order.\nAnswer: 398047, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-nine fifths of a microgram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*4\/24*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/10 - 4\/(-10). Suppose 64 = 4*x - 2*w, 2*w - 3*w - 86 = -q*x. Suppose -286 + 52 = -13*p. Is x bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -2*f + n, -5*f - 2*n + 150 + 362 = 0. Calculate the remainder when f is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35026\/5349 or -6?\nAnswer: -35026\/5349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135112 (base 6) to base 5.\nAnswer: 402123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m - 2. Calculate n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/6 - 6\/4. Suppose -4*i + 2 = s - 2, -y*s + 20 = -2*i. Suppose -s*b + 27 = -305. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -6 (c) 0.005 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 44 = -17*p. What is the smallest common multiple of 2 and p\/(-36) + 37\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-3)\/(3\/17). Let w = t - -27. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6204)\/(-47) - 26\/2. Let d(y) = -y**3 - 7*y**2 + 10*y + 5. Let v be d(-7). Let i = r + v. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 39*f**3 - 16*f**2 - 16*f. Let j(i) = -i**2 - 3*i. Give -6*j(v) + q(v).\nAnswer: 39*v**3 - 10*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Solve 4 = -4*p - m + 5*m, -2*p + d = -m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(5)*-1)\/sqrt(4))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*k + 53808 = 17088. What is the least common multiple of 288 and k?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grrg when four letters picked without replacement from rgrrrgrrrgrr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 660659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {s: 1, f: 12}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 148*k**3 + 13*k**2 - 15*k - 16. What is the lowest common multiple of n(2) and 935?\nAnswer: 13090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.046 and 312016.694.\nAnswer: 312016.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7175 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 1144124124?\nAnswer: -1144124140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b**2 + 119*b + 22. Let m be k(-10). What is the units digit of m\/(-406) + (-9192)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4033*n + 1116*n + 687*n to b + h*n and give h.\nAnswer: -2230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173897 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9370.\nAnswer: 2, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-9 + 20 + (35 - 23 - 31))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12540 (base 8) to base 7.\nAnswer: -21645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 19*p + 10. Calculate a(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -210*t + 1. Calculate r(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*u + 705026 - 693350 = -2587*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-176)\/(-40) + (-18)\/45. Let c(s) = s + 8. Let f be c(-4). Solve 25 = a*b + h, b = 2*h - f - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1061, 1063, 1065?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 857841290 rounded to the nearest one hundred thousand?\nAnswer: 857800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**3 + 2*b**3 + 2*b**3)*(-6 - 2 + 5 + 2*b).\nAnswer: -4*b**4 + 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231830760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k - 2. Let v be o(-2). Let q = -74 - -55. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(504)*2)\/(sqrt(32)*-2 + sqrt(8)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 18, 4 in descending order.\nAnswer: 18, 12, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 + -407. Let l(o) be the first derivative of 0*o + 1\/2*o**4 - 1\/6*o**6 - 1\/2*o**2 - 14 + w*o**5 + 0*o**3. Let l(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 10:03 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194702 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -23711 - -23709. Let p(a) = -a**2 - a - 1. Let n(f) = -3*f**2 + f - 1. Give v*n(i) + 2*p(i).\nAnswer: 4*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2117.5644 rounded to the nearest 10?\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -3. Let n(q) = -q + 1. Let b be n(-4). Let s = -202 + 206. Solve -s = -b*u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 10217214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2477672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -8. What is the lowest common multiple of p and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**3 - u**2 + 5. Suppose -4*b = -3*a + 68 + 89, -2 = 2*a. Let v be ((-10)\/8)\/(b\/(-160)). Let h(n) = -6*n**3 + n**2 - 4. Calculate v*h(z) - 4*y(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -334 - -333.6. Which is the second biggest value? (a) 0.7 (b) 9 (c) 1 (d) -5\/3 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1546 + -1545.99996631. What is k rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 467 or -1048?\nAnswer: -1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, g: 1, p: 2, n: 2, z: 8, r: 2}. What is prob of picking 1 p, 1 g, and 1 n?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/10 (b) 0.5 (c) 5\/6 (d) 1 (e) -36 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 4:51 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:53 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*y - 2*b + 132, 0 = 3*y - 5*b - 190. Calculate the greatest common factor of y and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Suppose -q = 5*m - 48, m + 79 = s*q + 16. Suppose -16 = -4*g - w, -2*g + 4*w = -q + 7. Solve -2*z = -4*o + 20, 0*z - o + g = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 12*p. Solve 19 + p*s + 0*s - 21 + 2*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.76071 - -0.7607018966. What is b rounded to 7 decimal places?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/152 and 43\/1632.\nAnswer: 31008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 354\/199?\nAnswer: 354\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 582*k - 4287. Give f(-201).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -251, -340, -517, -812, -1255?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.18 minus 50305218.1918?\nAnswer: -50305221.3718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 34*l**2 + 63*l - 69. What is a(3)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -384, -765, -1146?\n\"Answer: -381*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.26969 rounded to two decimal places?\nAnswer: -5.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 16. Suppose 4*w - h = 1. Suppose w*c - 6*c = -76. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, 3849, 2, -0.2, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:11 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12941, 2\/13, 2, 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {w: 1, b: 2, i: 1, h: 3, c: 1, n: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m + m)*(-79*m - 137 - 170*m + 137).\nAnswer: -249*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47\/124 - -4\/31. Let m = -544 + 545. Which is the closest to m? (a) r (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-15) - 512\/20. Let k = 24 + w. Is (5\/k)\/(23\/(-46)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13737.0012 rounded to the nearest 10?\nAnswer: 13740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2538 = -42. Suppose -371 = t + 365. Let i = t + y. Round i to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 2*c - 1. What is d(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (45*10\/200)\/((-2)\/(-8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2165*f**2 - 824*f**2 - 453*f**2 + 296*f**2 + 413*f**2 in the form g*f**2 + d*f + z and give g.\nAnswer: -2733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 7*l. Suppose l = 2*b - 28 + 6. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 0*f**3 + 0*f**3)*(-2 + 5 - 8*f**2 - 2) + (-1 + 4 - 4)*(2*f**5 + 2*f**5 - 3*f**5) - 1 - 2*f**5 + 1 + 2*f**5 - 2*f + 2*f.\nAnswer: 7*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**4 + 1120*m**3 + 86215*m**2 + 1686930*m + 7266240 = 0 for m.\nAnswer: -29, -6, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:12 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1506553, -1506556, -1506559, -1506562, -1506565, -1506568?\nAnswer: -1506571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.6173*11792\nAnswer: -7279.2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(8\/24*-1)\/1. Solve -7*v - 177 + 156 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 74644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5372 - 5369. Let w(o) be the first derivative of 1\/2*o**2 + u*o - 14. What is w(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22211, 22218, 22229, 22244?\n\"Answer: 2*k**2 + k + 22208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -12, 0, 5, -88, -2, -4 in descending order.\nAnswer: 5, 0, -2, -4, -12, -20, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*t - 150*t + 73*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 - w. Let g be u(-1). Let f be 22 - g*(-2)\/4. Suppose 0 = -4*t - 2*b - f, -5*b = 3*t - 2*t + 23. Which is bigger: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*h - h**2 + 2*h**2 - 227*h + h**2 in the form y*h**2 + k + z*h and give z.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**4\/12 + 11*h**3\/3 - h**2 + 16*h. Let f(m) = -1. Calculate -2*f(x) - g(x).\nAnswer: -2*x - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -362959, -725924, -1088893, -1451866?\n\"Answer: -2*g**2 - 362959*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:54 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4711507*v - 13655790 wrt v?\nAnswer: 4711507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-3)\/((-30)\/4)) - 2. Let l be (60\/21 - j) + 969\/21. Is 46 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7233 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: Suppose -9 = -q - 7. Suppose -6 + 1 = 5*y, -40 = -2*m + q*y. Is 20 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/12 and 69\/556?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9136 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243604 by 80.\nAnswer: 60901\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 109678 divided by -122\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104748\/25 + -104628\/25. Factor 18\/5*n - d - 3\/5*n**2.\nAnswer: -3*(n - 4)*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/38661 and -55\/49?\nAnswer: 38661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 - 4*m**2 - 3*m**2 + 0*m - 2*m**2 + 0*m + (2 - 2 + m**2)*(0 + 0 + 1) + 5*m - 2*m**2 + 4*m + 8*m to the form z*m**2 + o + c*m and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y + y + 0*y - 6*y - 764 to a + n*y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1100098\/5607 + -40\/1869. Let k = m - -196. Which is the third biggest value? (a) 1\/3 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3236112596 + 3236112402.00000022. Let i = -194 - o. Round i to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-721)\/206*-3*12\/21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, c: 7, h: 1}. Give prob of picking 3 c and 1 h.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -12*b - 8*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 196863 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 1 + (16 - 23) + -29.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfff when four letters picked without replacement from {g: 1, f: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -21*d**2 - 5*d + 5. Let c(j) = 221*j**2 + 52*j - 52. Let y(k) = -5*c(k) - 52*u(k). Let g(f) = -f**2. Give y(g(o)).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13488193 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 304\/240 - 3\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 31 = j, -4*p + 3*j = -0*p - 37. Calculate the greatest common divisor of p and 140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*y + 5*y - 12 = 0, -5*m - 4*y = -33 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from ndkknmkkd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + a + 15867, -2*a - 21 = -31. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 1583740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 415.02 - 411. Let w = -49 - -45. Let c = w + h. Which is smaller: c or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917225.1cm in millimeters?\nAnswer: 9172251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268419 is divided by 20686.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587 = -20*k - 327 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Suppose 42*r - 48 = 26*r. Calculate the greatest common divisor of y and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 - 950072*f**2\/9 - 32304182*f\/9 - 274590460\/9.\nAnswer: 2*(f - 475070)*(f + 17)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 213*d - 430. Let v be r(2). Solve -v*b = -83 + 43 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 902, 1730, 2556, 3380, 4202, 5022?\nAnswer: 5840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85541035 is divided by 2861.\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -632\/5 + 126. Let n = 0.9 + 0.1. Which is the biggest value? (a) s (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -4, -26\/9, 73.4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f - f**2)*(f - 3*f + 3*f + f + f - 3*f + (-3 + 3 + 3*f)*(2 - 4 + 0)).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j + 166. Let m be b(14). What is the greatest common divisor of m and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 170\/20)*(-2 + 3 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 1, c: 2, o: 1, h: 2}. Give prob of picking 1 h, 1 o, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**3 + 5 + 2*i**3 + 3*i**3 + (-2*i**2 + i**2 + 0*i**2)*(4 - 4 + 31*i) + (-2 + 2 - 1)*(i**3 - 4*i**3 + i**3).\nAnswer: -30*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 16418*r + 98436. Give o(-6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.94294 to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7195*w + 1012 = -7239*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2303004 (base 5) to base 11.\nAnswer: 28897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1 + (-6196)\/(-44). Let x = 145 - d. Factor 4\/11*t**2 - x*t**4 + 0*t**3 + 0*t - 2\/11.\nAnswer: -2*(t - 1)**2*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 64*m - 848. Calculate o(44).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 14 = -4*l, -l + 2*l - 10 = 4*i. Suppose 2*z = -o + 2 - 0, 8 = 2*o + 2*z. Suppose a - o = -l*a. Solve 4*j - a = -2*r, 0 = -4*j - 0 + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245*i**4 - 4*i**3*v - 81*i**2 + 10*v wrt i.\nAnswer: -5880*i - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 43891 divided by -4813\nAnswer: -43891\/4813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -131. Let r = x - 67. Let t(b) = 15*b**2 - 13*b + 5. Is t(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15060 - 9809. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 393612314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ege when three letters picked without replacement from pegeejeep.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 16 + 54024*x**3 + x**4 - 54025*x**3 - x - 11 in the form n*x**4 + d + r*x**2 + h*x + l*x**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28000275 divided by 2\nAnswer: -28000275\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(144\/(-3)))\/(935\/(-1530))?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 39792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + 8. Let z be h\/10 - (-1465)\/25. Suppose 3*g + z = 3*l + g, -g - 55 = -3*l. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 12. Let w(b) = 24*b + 306. Let v(c) = -153*q(c) + 6*w(c). Let u(y) = 90*y. What is 2*u(x) + 21*v(x)?\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 37*d = 2*d + 35. Let g(c) = -3 + c**2 + 88*c**3 + 4 - 85*c**3 - 2*c. What is g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-2\/15)*w*w*w))**16)**(2\/25) assuming w is positive.\nAnswer: w**(-1376\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) 0.1 (c) 0.4 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.18, 0, 24, 0.044, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-1)\/3*12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -4 - (-11 + 36 - 25)) + -3 + -80.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(4 + 0) - 18\/(-7) and (-34)\/238 - 487\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**4\/12 + o**3 + 2*o**2 + o. Let v be p(7). Let g be (-88)\/(-12) + 1\/v. Calculate the highest common factor of 35 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3210260907 to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/829562?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**5 - 70020671*v**3 + 78782184*v wrt v?\nAnswer: -20*v**3 - 420124026*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 4) to base 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2835\/10)\/(-9)*-20. Let w = 1192 - m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1417759 divided by -601.\nAnswer: -2359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3080 and 425285630.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = 4. Let u(x) = 6*x + 1. Give u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*y - 1 + 2, -2 = 2*y. What is the units digit of ((-3)\/(-2))\/(l - 1445\/730)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 2*b**2 + 0*b + 0*b**3 + 7\/60*b**5 + 1\/24*b**4 + 0. Determine i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.6. Let j(t) = -t + 1. Let p be j(1). Let l = 2\/9 - 35\/36. Sort l, p, f.\nAnswer: l, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-2 + -4))*2. Let u(j) = -1 + 2*j - j - 4. Let z be u(8). Solve z*o + 5 = -y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:00 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1213514 (base 6) to base 13.\nAnswer: -23395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.345, -1\/2 in decreasing order.\nAnswer: 0.345, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.376 + -1.7839. Let d = s + 0.0599. What is the nearest to 0 in -3\/7, 4\/3, d, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -12032?\nAnswer: -12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3, 1\/7, 24\/11, -10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1006*q + 7954. Calculate n(8).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 39703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - p**2 - 5*p + 22. Calculate g(-6).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.9 (c) 3 (d) -1.6 (e) -2\/11 (f) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**9\/5544 + p**8\/3080 + 2*p**3 + 2*p**2 - 3*p. Let t(u) be the second derivative of i(u). Factor t(l).\nAnswer: 6*l**4*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-727)\/6543 + 1 + -1 + 37\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262975\/40 - 3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18885018, 18885025, 18885032?\n\"Answer: 7*s + 18885011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7 + r**2 + 4 - 14 + 3. Let d(b) = 1 - 99*b - 1. What is d(n(c))?\nAnswer: -99*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 5, 290, 11, -41 in decreasing order.\nAnswer: 290, 11, 5, -41, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 315?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b61b6 + 34?\nAnswer: 2b621a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 85*p**2 + 3*p - 1. Let d be t(2). Let h = -96 + d. What are the prime factors of h?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -141.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 21.94. Let x = f - 1.1. Let d = -0.16 - x. What is the second biggest value in 0.1, 0.6, -0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3022543957.\nAnswer: 3022543957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbxxxxxxxxxxbxxxxbb. Give prob of picking 2 x.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*-2*sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88) + -6*sqrt(88)*-2 + sqrt(88) + sqrt(88))\/((sqrt(224)*-4)\/(sqrt(28)\/(sqrt(4)*2))).\nAnswer: -21*sqrt(11)\/16 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*d + 83*d - 16*d to the form l + w*d and give w.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 + 2*v - 1. Let g(x) = x**2 + 7*x + 3. Let k be g(-7). Suppose 6 = k*w, 4*l = -4*w + 1 + 11. Give z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 49. What is l(-11)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 1240*f + 28860.\nAnswer: 5*(f + 26)*(f + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -18. Let y = 654 - 621. What is the lowest common multiple of y and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a - 17. Let j(i) = 2*i**2 + 120*i + 259. Let v(g) = 31*d(g) + 2*j(g). Let z(n) = 3*n**2 - 7*n - 8. Determine 5*v(c) - 6*z(c).\nAnswer: 2*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-10))\/((-12)\/(-60)). Suppose -3*u - 66 = 3*x, -a*x = 3*u - 2*u + 45. Let r = -20 - x. Sort -3\/7, -5, r in decreasing order.\nAnswer: r, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -34. Let a(s) be the second derivative of -1\/3*s**3 + 0 + u*s - s**2. Determine a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 1, j: 4, g: 2, h: 2, f: 7}. What is prob of sequence gh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -486102*c**3 - c**2 + 680?\nAnswer: -2916612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Let n = 2 + b. Let d = 5.687 + -5.687. Sort -3, d, n.\nAnswer: -3, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 0, -190 + 505 = 5*u - 5*r. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 12\/9)*342\/(-4). Suppose f*x - 22*x = 962815. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 18, 0 in descending order.\nAnswer: 18, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 20 in decreasing order.\nAnswer: 20, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 s when three letters picked without replacement from soosaogosagkgogsskkg.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3235.2022 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 2. Let r be 4\/(-2)*4\/(-8). Let k be x(r). Let z(g) = g + 1. Let u(w) = 4*w - 3. Let p(d) = -u(d) + 2*z(d). Give p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (694\/(-1190) + -2 + 5). Let m = 2\/119 + s. Which is the second biggest value? (a) -3 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131880238*g**2 - 120*g - 117558 wrt g.\nAnswer: 263760476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:19 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 8*a - 23. Let h be j(12). Let y = 87 - h. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/15 (b) -5 (c) 0 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-9))\/(7\/(-28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1044 and 8561148.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 28 = -48 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -177169926, -177169925, -177169924, -177169923, -177169922?\n\"Answer: u - 177169927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-1 + c**4 + 1) + 6326*c**4 - 7449*c**4 - 12328*c**4.\nAnswer: -13450*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 24*s + 119. Let x be j(-7). Solve 4*m + 20 = -x*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(-1 + sqrt(7) + (sqrt(1008) + -1 - sqrt(7))) + (sqrt(112) + 2 - ((-1*sqrt(70))\/sqrt(10) + sqrt(7))))**2.\nAnswer: -512*sqrt(7) + 28688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1311)\/46)\/(3\/(-4)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*h + 20, h + 12 = o + 2*o. What is the second derivative of 118*w**o - 108*w**4 + 19*w - 3*w wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**6\/15 - h**4\/6 - 3*h. Factor c(a).\nAnswer: 2*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-106)\/25 - (-40)\/10. Which is the closest to -1\/8? (a) -4 (b) y (c) -2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + (sqrt(200)*-1 + sqrt(200))*6)\/sqrt(5))\/((sqrt(495)\/sqrt(176))\/sqrt(9)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = -53*p + p + 10140. Solve 29*w - 44 = p for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 3*f + 0*f)*(1211*f - 3652*f + 52*f**2 - 2 + 1217*f + 1215*f) as n*f**3 + m*f**2 + r + s*f and give n.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 304565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8)*-2 - -374. Let g = v - 1859\/5. What is the third smallest value in 5, g, 3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:43 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbgpggpe. Give prob of sequence pgbe.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 157921 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 14 = 11. Which is the second biggest value? (a) o (b) -2\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160995085 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -2\/7, -3\/8.\nAnswer: -39, -3\/8, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -5, 40 in descending order.\nAnswer: 40, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 21959883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*p - 102, -u + 33 = -0*u - 5*p. Suppose -17*r + u = -15*r. Let -r*j + 509*j**3 - 514*j**3 - j + 15*j**2 = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -13*j - 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 8:13 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 10) in base 11?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + -99.1. Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f - 1. Let i(g) = g - 1. Give -5*i(t) + k(t).\nAnswer: 9*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125771.2 plus -0.88?\nAnswer: 125770.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 23*s**2 - s - 3. Let f be (0 - 2)\/((-2)\/3). Suppose -5*b - 21 = l + l, 26 = f*l - 4*b. What are the prime factors of p(l)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4\/5 + 558*f**3\/5 - 1056*f**2 = 0. What is f?\nAnswer: 0, 10, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 14*z - 16. Give b(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/13, 0.2, -0.2, -0.052127 in increasing order.\nAnswer: -0.2, -0.052127, 0.2, 10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -5*s**6\/3 - 7*s**2\/2 - 6. Find the second derivative of r(z) wrt z.\nAnswer: -200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 - -103242?\nAnswer: 103120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1035\/90)\/(-23))\/(19\/2)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -311223210 (base 4) in base 12?\nAnswer: -a72b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-1368)\/(-16)*(-4)\/6. Is -57 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4029 + 4029.033. Which is the smallest value? (a) -0.3 (b) l (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -1\/4, 2, -3, 4, 40 in descending order.\nAnswer: 40, 4, 2, -1\/4, -3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let v = -105 + 423\/4. What is the second biggest value in -0.3, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 5*y**2 + 6 - 1 - 4*y - 2. Give z(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478983.7 meters to micrometers.\nAnswer: 478983700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 1915*g**7\/42 - 83*g**4\/24 + 10*g**3\/3 - 418*g**2 - 8. What is the second derivative of p(l) wrt l?\nAnswer: 114900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1880*y**4 - 149*y**3 + 7*y - 819562.\nAnswer: -22560*y**2 - 894*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**(10\/19)\/(s**(1\/3))**(-2\/17)*(s\/(s*s**(-2\/7)*s*s))**(-7\/4)\/(s*(s*s**0)\/s*s**0) assuming s is positive.\nAnswer: s**(1772\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*p - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 1 r when three letters picked without replacement from {r: 4, n: 10, t: 5}?\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 0*i**2 + 12*i**2 - 3*i.\nAnswer: 13*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 u, and 1 w when three letters picked without replacement from zuzzuztwwuuuutuu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = 10. Let n be r\/(-7) - 182\/49. What is the smallest common multiple of 6 and (-6 - -2)\/(2\/n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.17, -4, 0.1, -198.1, -0.074, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3311047 is divided by 1514?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1438 + 1428. What is the second biggest value in -2, -5, v, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26.8 and -4541566526.\nAnswer: -4541566552.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228679 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 47 + 11. Calculate the lowest common multiple of r and 168\/27 + (-10)\/45 - 2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 6*v - 2*v + 557 - 217 + 0*v as g + j*v and give g.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1572*t**4 - 40*t**3 - 19*t**2 + 10*t. Let a(u) = u**4 - 5*u**3 - u. Let w(m) = -8*a(m) + y(m). What is the third derivative of w(g) wrt g?\nAnswer: 37536*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3 = -5*q - 0, -5*a - q = -503 + 508 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 0.7, 1.171, -3, -2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 537.7073 days in minutes?\nAnswer: 774298.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 92, 184, 310, 476, 688, 952, 1274?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 54*g + 21*g + 1173 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876 + 1184 = -28*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45190509\/220 + -205412. What is the common denominator of b and -115\/1078?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 9. Suppose 210 = 111*n - 96*n. Let l be 6\/(-9) - n\/(-3). Solve 0 = l*o + 5*f + 16, 0 = 4*o - 2*f - y + 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*sqrt(325) + 3 - sqrt(325)) - (sqrt(325) + (sqrt(325)*1 + sqrt(325))*3 - (-1 + sqrt(325) + -5))) + -4)**2*4.\nAnswer: 4560*sqrt(13) + 48244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + -1 + sqrt(1900) + -4)**2 + 2*sqrt(1900) + -3 + sqrt(1900)*-3 + 1.\nAnswer: -70*sqrt(19) + 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(242) - (sqrt(242) + sqrt(242) + 0))**2.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + 0 + (-63 - -146 - 40).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6 - 3632.\nAnswer: -3628.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*w - 188*w - 9*w**4 - 192*w + 19 - 2*w**2 + 2*w**4 + 556*w - 15*w**3 wrt w?\nAnswer: -84*w**2 - 90*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23208517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.26 - -4.74. Which is the nearest to 5\/8? (a) o (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5293382.4ns to days.\nAnswer: 0.000000061266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 4. Let u(j) = -3*j + 77. Let p be u(26). Determine s(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s**2 + 423*s - 213. Give g(-39).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.91 - -3.445. Let s = 0.465 + i. Let h be (0 - 2)\/(2\/(-4)). Which is the closest to 0.1? (a) s (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134863894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 4.7. Let k = 379 + -379.1. Which is the closest to k? (a) 1\/54 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 3. Let c(j) = j + 4. Let m be c(6). Let b = 5719\/5 - 1135. What is the common denominator of b and o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2 - 14*n - 17. Let m(y) = -5*y**2 - 13*y - 16. Suppose -20 - 1 = 3*z. Let c(g) = z*m(g) + 6*f(g). What is the units digit of c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oocc when four letters picked without replacement from {o: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-8) - 25\/(-90)*-63?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-1 - 1 - 8) - (-5 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 27*v - 1. Let j(n) = -n**2 - n - 1. Let t(f) = 2*f**2 + 5*f + 5. Let y(d) = v*t(d) + 5*j(d). Let b(p) = 3*p + 5. What is y(b(r))?\nAnswer: -27*r**2 - 90*r - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 25*i - 27. What is k(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33853 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5690 and 3414?\nAnswer: 17070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -761*l + 42583. Determine a(56).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 260\/69?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l**3 - 3*l)*(4 + 6 + 1) + l**3 + 2*l**3 - 2*l**3 + l**3 - l**3 - 5*l**3.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m + 0*m)*(4*m - 4*m + m) - m**2 - 4*m**2 + 4*m**2 + m**2 + 5*m**2 + m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 4:58 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*b - 24 = 3*b, -4*y - 2*b + 50 = 0. Let w = y + -9. Calculate the remainder when w is divided by (-6)\/(-3)*(-12)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 286343*d + 285793*d + 1)*(85 - 16*d - 85).\nAnswer: 8800*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 45*m + 36. Let h be q(-17). Calculate the greatest common factor of 3680 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2721 - 5?\nAnswer: -2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, z: 7}. What is prob of sequence pzzz?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 38*u + 64. Let o(i) = i**2 + 40*i + 65. Let r(l) = 2*o(l) - 3*y(l). Give r(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1870884 and 23\/11918224.\nAnswer: 321792048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90744, -181495, -272246, -362997?\n\"Answer: -90751*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57, 25, -37, -135, -275, -463, -705?\n\"Answer: -k**3 - 9*k**2 + 2*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-4)\/3) + 1. Differentiate -4*b**4 + 6*b**c - 3*b**4 + 3 with respect to b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - 0.01. Which is the third smallest value? (a) n (b) -1\/2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 61, 135, 249, 409, 621, 891?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2 - 78*f - 77 = 0. What is f?\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1188)*6 - 2*(sqrt(1617) + sqrt(33)))\/(sqrt(12)\/(sqrt(4) + 2*sqrt(576) + sqrt(4))*2).\nAnswer: -3 + 260*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 5*f - 2. Let m be ((-12)\/(-15))\/((-6)\/45). What is the lowest common multiple of 14 and s(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Let w(l) = l**3 - l. Let k(q) = -q**3 + 2*q. Let s = 35 - 36. Calculate b*w(x) + s*k(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3224*n + 5. Let d(k) = -3218*k - 6. What is 3*d(m) + 4*z(m)?\nAnswer: 3242*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1410 + -1412. Put t, -17\/32, -1\/3 in ascending order.\nAnswer: t, -17\/32, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2688)*-5 - (sqrt(6048) - (sqrt(6048) - (sqrt(6048)*-1 + sqrt(6048)))))\/((2*sqrt(4320))\/((sqrt(5) + sqrt(45))*-2)))**2.\nAnswer: 11200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 750229013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -47. Let t be ((-4)\/(-5))\/(4\/370). Suppose -10 = 4*h - t. Calculate the remainder when p is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 232?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -8. Let k be ((11 - 42\/7) + -4)*-5. What is the closest to -0.1 in 1, n, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 4, -0.4, -7, -5, 14\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 11 - 31. Solve -4*d - o = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515565 (base 10) in base 13?\nAnswer: 15088b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.1 + -4.9. Let o = -22 - t. What is the nearest to -3 in -5, 1\/4, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 20 = -0*q. Let j = -24 - -22. Let o be (1 + j)*(-141 + 1). Calculate the greatest common factor of q and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(288) - (sqrt(288) + 0))**2 + 5 + sqrt(2)*-2.\nAnswer: -2*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 4\/5 (c) 6\/55 (d) -706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 0.3, 0.2, 3\/26, -1868 in increasing order.\nAnswer: -1868, -3, 0.1, 3\/26, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -2757*r**5\/10 + 15*r**4\/2 - 5*r**2\/2 + 156*r + 1. What is the third derivative of u(d) wrt d?\nAnswer: -33084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.99548583 and -0.1877?\nAnswer: 0.80778583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2 + 3*o - 21 - 5*o.\nAnswer: -2*o - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in -2\/7, 1\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*q - 184 = c, q - 137 = 3*c. Let z = c + 105. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1606 and 117414.\nAnswer: 8571222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 57 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17776 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 79 + -82 + 6\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/11, 0.4, 7\/6, 0.1, -2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2592)\/128)\/(-81)*-180.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.09 (b) -0.21 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {z: 8, m: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 323*d = -327*d - 20, 4*l - 32 = 25*d + 34 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7144 + -78588\/11. Which is the smallest value? (a) 4 (b) l (c) -4\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88294?\nAnswer: 2, 131, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 + 148010*i**4 + 6521380*i**3 + 21975000*i**2 - 1095857280*i + 4183643520 = 0. What is i?\nAnswer: -28, 6, 29646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 140265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20656 (base 10) to base 8\nAnswer: -50260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 108281, 216562, 324843, 433124?\n\"Answer: 108281*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1475278335 by -5.\nAnswer: -295055667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 16 = -11*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from cjcjcj?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.844009821 - 1.844. What is w rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 20*x + 192. Let s be p(-12). Calculate the highest common factor of 804 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 13, -5, -9 in decreasing order.\nAnswer: 13, 1, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 44528408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2. Suppose 0 = 3*z - 9 - 21. Let l(k) = -k + 2*k - z*k**2 - k. Determine l(r(m)).\nAnswer: -40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*1*464\/(-32). Let n(c) = 45 - l - 24 - 4*c. Let z be n(-8). Calculate the highest common divisor of 192 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101332 (base 5) to base 2.\nAnswer: -110100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/20*12\/(-8)*4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Let a = -4274\/1245 - -296\/83. What is the nearest to 1\/3 in -14, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-4)\/(-6)) + 17. Suppose 0 = -3*b - 5 + t. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55568990.\nAnswer: 2, 5, 983, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13362 and 4683905?\nAnswer: 477758310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-40)*(-2)\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 92 = -4. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305 divided by -5.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.4 (c) 3 (d) 0.4 (e) -2.558\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201 + -197. Which is the closest to 0.7? (a) 1\/5 (b) -8 (c) -5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7.3, 0, 2, 0.1, -1\/20?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*f + 1, 2*d - 16 = -4*f + 6*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -47, -5.97, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a factor of 1187737438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**4 + k - 4*k + 1 - 4 - 2*k**4 + 57*k**3 + 5*k in the form d*k + g + n*k**2 + o*k**4 + m*k**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 2)\/(16\/120). Let q be 10*(3 - (-42)\/d). Solve -3*i - 3 = -q*n + 1, 5*n - 3*i + 8 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15300 + -15261. Let l(j) = -17*j**3 + j**2 - j + 1. Let t be l(-2). Calculate the highest common factor of y and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101077236 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2931919 divided by -8.\nAnswer: 2931919\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 4*p**5\/5 + 852*p**4 + 362952*p**3 + 77308776*p**2 + 8233384644*p + 611. Find b, given that k(b) = 0.\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/67 (b) -62 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 505, -1 in decreasing order.\nAnswer: 505, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 28. Let b be o\/(-10) + 3*2. Solve 2*d = -4*i, 3*i = -0*d - b*d + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 25. Let y(f) = -f**2 + 7*f. Let s be y(v). Let r = 0 + 0. Are r and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:58 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.048548 * -1.801\nAnswer: 0.087434948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 0*k + 0*k - 675*k**3 + 2991*k**3.\nAnswer: 2316*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7296*z + 1 - 4 + 12207*z + 3.\nAnswer: 4911*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 + 70.7. Let o = -110 + w. Let q = -49 - o. What is the biggest value in q, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2853820 - 50?\nAnswer: -2853870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + u - 1 - u. Suppose 0 = 5*n + w - 31, 0 = -n + 70*w - 71*w + 7. Give z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -10\/99?\nAnswer: -10\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1*(84 - -12). Let g = d + 220. Let z = g + -73. What is the greatest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124424 (base 5) in base 11?\nAnswer: -3826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -498997*j**3*x + 4*j**3 + 31*j**2 + 16*j + 13 wrt x?\nAnswer: -498997*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/15 + 3 - 468\/45. Let t = p + 1208. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = a + 6*f - 3*f, -5*a + 50 = 5*f. Suppose -2*c = n - a*c + 2740, -4*n = -2*c + 11030. Round n to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**4 + 5*w**4 - 5*w**4)*(-6330 - 1883 + 124 - 9251) as h + f*w + l*w**3 + n*w**2 + i*w**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((((q\/(q**(-11)\/q*q*q*q))\/q)\/q)\/q))*q**(-5\/4)*q*(q**(-2))**(2\/3))**22 assuming q is positive.\nAnswer: q**(715\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17140 - 2?\nAnswer: 17137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-51)*2*6\/4. Suppose 0 = g*h + 4*h - 3000. Let b = h - 1985\/4. Calculate the common denominator of b and 23\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/90*3\/2. Let n = z - -2\/3. Suppose 5*s + 1 = 11. Which is greater: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, -5\/8, 4, 2\/9?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(-a - a + a) + a + 2*a - 4*a + (5*a - 7*a - 3*a)*(0 + 2 + 0).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334847.\nAnswer: 41, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73 - 987*g**2 + 568*g**2 + 502*g**2 wrt g?\nAnswer: 166*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36455 (base 7) to base 3.\nAnswer: 111000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 75405475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 94*z - 280*z + 93*z + 93*z + 2*z**2. Let g(y) = 191*y. Give g(f(m)).\nAnswer: 382*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 + -0.37. Let k = b - -0.3. Put 3, 5\/3, k in increasing order.\nAnswer: k, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/6 + 29*x**3\/3 + 154*x**2 + 87*x - 2. Factor c(v).\nAnswer: 2*(v + 7)*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = -2*v, -26 = -5*v + 4*b + 22. Suppose -14*c - v = -78. Suppose -j + 31 = -5*o, -41 = -2*j + c*o + 6. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 16. Let v be (4 + -1)\/(27\/(-72)). Let x be d(v). Are x and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-9 - (-8 + (-7 - -13)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 552926 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 5*s + 5*s)*(-1 + 0 - 1).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 78 = 84. Calculate the smallest common multiple of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 6*g**3 + 232*g**2 + 1248*g - 8064.\nAnswer: -(g - 14)*(g - 4)*(g + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1024 and 18144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/((-16)\/4))\/(8\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6974 by 133.\nAnswer: -6974\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 29 - 250*p - 798*p + p - 5*p + 2*p + (-5 - 2 + 5)*(2 + 2*p - 2) - 3*p + p + p.\nAnswer: -1055*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 - 10*y + 5. Let t be u(2). Suppose 15 = 4*x - t. Let q = 8 - 36\/5. Sort -0.2, x, q.\nAnswer: -0.2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 + 5*q + 3. Suppose 29 = -9*x + 83. Let c be 156\/39*x\/(-8). Determine f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33\/6)\/(24842\/(-8)). Let k = i - -24705611\/136631. Let j = 181 - k. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 11, 8, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-51)\/(-12)*4\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32301112 (base 4) in base 3?\nAnswer: 10001222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2097618*c**3 + 2*c**2 + 2*c + 118207784 with respect to c.\nAnswer: 6292854*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 8*r + 2. Let l(i) = -i**2 + 0 + 6 - 3*i - 1. What is the least common multiple of l(-4) and j(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7631, -15759, -23839, -31847, -39759, -47551, -55199?\n\"Answer: 4*b**3 - 8156*b + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**2 + 3*v - 2. Let k be (-1)\/(-2)*(2 + 4). Suppose 0 = -4*o, k*h + o - 4 = h. What is the smallest common multiple of 12 and l(h)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 1070*x**2 - 1086*x**2 - 2*x**3 + 2156*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1530\/(-17))\/15 - (-3 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -16*b - 515, 56*b + 57*b - 4*j + 116 = 109*b for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -148*q**2 + 2*q. Let p(s) = 2*s**2 - s. Determine 2*o(c) + 4*p(c).\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 8)\/(6\/(-9)). Solve -1 = y*c - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -11*w**4\/12 - w**3\/3 - 53*w**2 + 10*w. Let a(z) = 23*z + 2. Give 3*a(v) + 4*i(v).\nAnswer: -19*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**7\/70 - 3*z**6\/20 - 9*z**5\/20 - 3*z**2 + 15. Factor a(y).\nAnswer: -3*y**2*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 794 + -758. What is the second biggest value in -0.3, v, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0726878 rounded to 3 dps?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486884 is divided by 386?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-314 - -305) + (-66)\/(-1 + 4)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x + 279. Let z be d(56). Are z and -16\/103 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -539\/18 at least as big as -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 81296*s**2 - 162608*s.\nAnswer: 4*s*(s - 2)*(s + 20326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 20 = -5*f, -2*n - 13 = f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 317380877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/20 and 31\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36, 64, 94, 126?\n\"Answer: d**2 + 25*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**3 - 7*u**3 + 3*u**3)*(4 + u + 2 - 5) - 5*u**4 - 3*u**2 + 3*u**2 to s + j*u**4 + h*u + k*u**3 + g*u**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20 + 2*h + 7*h - 5 + 0*h - 2*h**2. Let w be v(11). Let k = w + 207. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b7b0 (base 14) to base 6.\nAnswer: -2154302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-4)\/2)*(-24)\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(171)*1 + -2*sqrt(171)*-2*-5)\/(2*(sqrt(225)*1 - sqrt(225)) - -6*(sqrt(144) + 2*sqrt(144))).\nAnswer: -19*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 5*j**3\/3 - j**2\/2 + j. Let q be 1 + (-2 - -2)\/1. Give s(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 - -22.34. Sort -4\/5, s, 2, 4 in increasing order.\nAnswer: -4\/5, 2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*1\/2*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 195764 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 7 - 0. Let w be 1*(q + 3 + -2). Suppose -33*g + 32*g = 0. Solve 3*c = 2*d - g*c - 11, -d + 4*c + w = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -78*h + 34*h + 44*h - 1, -4 = h - 4*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43528647579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169632?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 1977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.1 - -13570011599?\nAnswer: 13570011615.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hchvvvhvchvvhchhh. What is prob of picking 2 v?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a hour in minutes?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 3*o - 50*o)*(56 + 18 - 1)*((1 - 1 + 1)*(-4 + 2 + 0) + 1 - 1 - 6) to y*o + g and give y.\nAnswer: 30368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 33726397.\nAnswer: -33726396.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d + 68. Let z(g) = -15*g + 90. Let p(t) = 7*k(t) - 6*z(t). Let u(w) = 3*w**2. Give p(u(h)).\nAnswer: 18*h**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/21 + (-4)\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37133*i + 42795 with respect to i.\nAnswer: 37133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/54 - (-2)\/(-6). Sort 0, i, 28 in descending order.\nAnswer: 28, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15035 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyooyooo. Give prob of sequence yyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*f + 397*f + 0*f)*(75 + 50 - 59) to the form u + h*f and give h.\nAnswer: 24552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 10066851\nAnswer: -50334255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + n**2)*(-3*n**2 - 2*n**2 + 6*n**2 + 0 - 2*n**2 + 0 + (3 + 2 - 6)*(0*n**2 + 2*n**2 + n**2)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 198\/(-10)*(-762)\/2286\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - 2*sqrt(980))\/sqrt(4) + sqrt(20) + sqrt(500) + -3 + sqrt(20) + -5.\nAnswer: -8 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -111?\nAnswer: 5\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.35, 17, -1\/3, -9\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22693983)\/(-9) - 1)*(-234)\/276. Let l = 2137313 + a. Let k = l + 525. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*c - 10 = 213*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 80, 158, 308, 554, 920?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 = -m, -2*x = -4*m - 7*x - 12. Let g(y) = -18*y + 74. Let i be g(4). Suppose -v = i*h + 2, 2 = -2*v + 4*h + 6. Solve v = -m*n + 2 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 81*v**2 - 2264*v - 199. Determine n(103).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-1))\/(3 - 1). Suppose 60 = 2*v + 2*g - 26, 4*v - 3*g - 151 = m. Suppose 5*z = -3*f + 262, -v - 51 = -f + 2*z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1406897\/676 = -2080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6646520 to the nearest one hundred thousand.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 7*o + 51. What is the remainder when 101 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)\/(x**0\/x))\/(x**(2\/5))**19 assuming x is positive.\nAnswer: x**(-117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Let l(h) be the first derivative of 551*h**3\/3 - 115. What is c(l(j))?\nAnswer: -1102*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(20\/(-5) - -3))\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15353023, -30706041, -46059059, -61412077?\nAnswer: -76765095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ed843 - 1?\nAnswer: ed842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292002 divided by 219?\nAnswer: 2292002\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/5 + 57*x**4\/5 + 238*x**3\/5 + 362*x**2\/5 + 243*x\/5 + 61\/5.\nAnswer: -(x - 61)*(x + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685000 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 24*g**2 + 114*g - 6. Let l be w(28). Solve 47*x = l*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 59049*i - 4938948.\nAnswer: -3*(i + 84)*(i + 19599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 22960 = -2*s, -34444 = -3*t - 12*s + 7*s. What are the prime factors of t?\nAnswer: 2, 3, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/54792 and 49\/1938.\nAnswer: 17697816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -331?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 7, d: 1, r: 4, l: 4, p: 2}. What is prob of picking 1 d and 1 a?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 20 = 3*l. Solve l = k - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -367.\nAnswer: -366.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12 + 6)*2\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -1366*c**3\/3 - 78*c**2 - 70*c. Let r be t(-8). What is r rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-1)\/2). Let p be (1 - d\/(-1)) + 1092. Let h = -1602 + p. What is h rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 0.08, -0.3, 1829, 3\/5?\nAnswer: 1829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from savppapwyapass. What is prob of picking 1 w and 1 a?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 24. Let b be o(27). Suppose 538 = 2*g + b*t, -1076 = -4*g + 3*t - 2*t. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1601*n = 1671*n - 23042 + 171582. Which is greater: n or -2123?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 - 42. Suppose -54 = -4*r + 5*y, 0*y = -5*r - 2*y + s. What is the remainder when 42 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(20)\/sqrt(2)*-1 + 2*sqrt(250) + sqrt(10))\/(-1*sqrt(224)\/sqrt(7)).\nAnswer: -11*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by 10?\nAnswer: 143\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -3 (c) 2 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + -3 + 3))*-5 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*k = -3*l + 294*k + 143, -4*k - 20 = 0. What is the greatest common divisor of l and 1778?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.22, -0.07, 46.5, -0.1, -3\/5, 3, 5?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 6*o**2 + o + 4. Let i be u(-6). Let c be 3\/((-21)\/(-9) + i). Let b be 1\/3 + 87\/c. Calculate the highest common divisor of 90 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/36624 and -97\/156379902.\nAnswer: 1251039216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -16, -165?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3)*s*s*s**0)**47)**48 assuming s is positive.\nAnswer: s**5264","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u - 2. Calculate m(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1900) + 1*sqrt(1900) - sqrt(1900)))**2 - (2*sqrt(1900) + 5 - sqrt(1900)))*-1.\nAnswer: -7595 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79 - -8403975?\nAnswer: 8404054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 0.5, -1, 1213 in ascending order.\nAnswer: -1, -3\/7, 0.5, 1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -32 + (28 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7014 and 8183?\nAnswer: 49098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 9*m**2 + 8*m + 15. Calculate n(-7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 368357\/42 - 8770. Find the common denominator of 6\/(-18)*1710\/(-84)*(-1 - 8 - -8) and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8186, 16341, 24484, 32609, 40710, 48781, 56816, 64809?\nAnswer: 72754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 67480056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 117*f**2 + 55*f - 173. Let w be l(-58). Sort 4, -1, 2, w in increasing order.\nAnswer: -1, w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*-6 - 685. Let f = -5515\/8 - w. Calculate the common denominator of -30\/7 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 39*k**2 + 4*k - 137. What are the prime factors of h(27)?\nAnswer: 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.340258112 to 4 dps.\nAnswer: 1.3403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 435*p - 424*p. Put 122, 2, p in ascending order.\nAnswer: 2, p, 122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*x**2 + 2*x + 413.\nAnswer: -116*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/23*((-10)\/(-110))\/(150\/(-1100))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8947024 centuries to millennia.\nAnswer: 0.08947024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 b when four letters picked without replacement from {w: 5, f: 9, b: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 459.64 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.908389 less than 0.5?\nAnswer: -226.408389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22645, 87475, 194481, 343657, 534997, 768495?\nAnswer: 1044145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 = -c - 209 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8437 = j, 3*y + y = 2*j - 8446. Is 3\/6 - (-1 - y\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*a - 324*a - 1809 = 500*a - 28576 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - y**3 - 7*y + 5 + 7*y**2 + 4*y**3. Suppose -26*x - 13*x - 136 = -22*x. Calculate s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*q = q - 1, 3*v - 12 = 2*q. Suppose v*l - 4*l + 8 = 0. Suppose h + b = -2, -l*h - h = 4*b + 8. What is the third smallest value in 3, h, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2485, -5177, -7869?\nAnswer: -10561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 48, 1, 5 in ascending order.\nAnswer: 0, 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122086 or 122087?\nAnswer: 122086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/51 in 0.028, 20040, -0.4?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*(k\/(k**(-1)\/k*k))\/k)\/k)**(-1\/17)\/(k\/(k\/(k\/(k\/(k*k*(k*k**6*k)\/k*k)))*k*k*k)*k\/(k\/((k**(-18)*k)\/k*k))*k))**14 assuming k is positive.\nAnswer: k**(2114\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g + 202 = 587. Solve 0 = -g*s + 3*n - 8, -3*s = 5*n - 1 - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/8*1274468\/(-39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*b + 110, l = 5*b - 107 - 65 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 5*t**2 + 0*t**2)*(16 - 16 + 8*t) + 3*t**3 - 4*t**3 - t**3.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 - 3*x**4 - 4*x**4)*(-3 + 3 - 2*x) + (0*x**4 + 0*x**4 - 3*x**4)*(x + 0 + 0) + 2*x**5 - 3*x**5 + 0*x**5.\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-23))\/((-2)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -39*f + 67. Is l(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 3*f**2 + 3*f)*(0*f - f - f) + (26*f**3 + 28*f**3 - 21*f**3)*(-1 + 0 + 0) as n*f**2 + y*f**3 + h*f + l and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*c**3 - 533*c**3 + 265*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(6615\/140)*(-9)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 + l - 1. Let n(a) = a**3 + 13*a**2 + 22*a - 12. Let r be n(-11). Let v be 3\/(3\/r*-6). Calculate z(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + -1 + (-8 - -6). Suppose 3*c = 4 + f. Suppose -3*m - 4*q = -524, c*m + 2*q = -0*q + 682. Calculate the greatest common factor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6453*q**2 + 2*q**3 - 20294*q**2 - 10659*q**2 - 5.\nAnswer: 2*q**3 - 37406*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -264.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:35 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**2 + 2. Let p(y) be the third derivative of y**4\/8 - 4*y**2 + 2. Give a(p(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9205893051?\nAnswer: 3, 3068631017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 171, 239, 289, 315, 311, 271?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-480)\/64)\/((-6)\/(-4)). Which is greater: s or -95\/22?\nAnswer: -95\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/138 + (-196)\/138?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.127273 - -1.17669. What is v rounded to 4 decimal places?\nAnswer: 0.0494","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 864*s**2 - 5*s**4 - 2*s**4 - 868*s**2 wrt s.\nAnswer: -168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*o - 540*o + 12*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 4*z**2 - 4*z + 2. Let m = -12 - -14. Let b be i(m). Solve -4*p - 25 = 5*w, 6*w = -5*p + b*w - 29 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3610587?\nAnswer: 3, 29, 47, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d, 1515 = 5*b + 4*d - 815. What is the highest common factor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 2*n**2 - 2*n - 2. Let a be t(2). Suppose -14 - 10 = 6*f. Let q be (-2)\/(-11) - f\/(-22). Solve -5*r + a = -q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.01 (b) -8\/23 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*z + 1285 + 3043 = 6436 + 6052 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5067 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*-8)\/(1*-1). Let g(w) = w**2 - 11*w + 3. Let v be g(11). What are the prime factors of (v\/6)\/1*c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1.65?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63034785*n - 20402923 wrt n?\nAnswer: 63034785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 31. Let s be w(-9). Let g be s\/(-16)*(-4)\/5. Sort g, -4, 55.\nAnswer: -4, g, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930400846.\nAnswer: 2, 1741, 267203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7204)\/(-10) + 2\/(-5). Suppose -37*p = -40*p + q. Suppose 3*j + 12*f - 7*f - p = 0, -j = 4*f - 87. Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/2 - 50889*j**2\/2 - 127233*j - 101788 = 0 for j.\nAnswer: -4, -1, 50894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/42 - 134\/(-60) and -121\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.4408497 rounded to one dp?\nAnswer: 84.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 663306*c**2*l**2 - 6*c**2*l*z**2 - 5*c*l**2*z**2 + c*l**2 - 22*c*l*z**2 + 3*c*l*z + l**2*z**2 - 2*l**2*z - 2570 wrt c?\nAnswer: 1326612*l**2 - 12*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2*(-4)\/(-3). Let h = -10181\/9 + 1131. What is the nearest to j in h, 5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 339 = -5*g, d - 16*g - 93 = -11*g. Solve -d = 15*l - 18 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 4*w**3 - 4135 - 15*w**3 + 4135.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.75906ms in minutes?\nAnswer: 0.000862651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 + 546. Let y = h - 405.5. What is the closest to 2 in y, 6, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = -x, -2*l - 3 = 5. Solve k + 3*o + 9 = -2*k, 5*k + x*o = -16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 643 + 47445. What are the prime factors of a?\nAnswer: 2, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4 + 87151*o**3 - 3136464*o**2 + 28225260*o = 0 for o.\nAnswer: 0, 18, 87115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -650*(20\/(-8))\/5. Let n = u + -82. Suppose -2*c + c - q = -n, 0 = 4*c - 2*q - 942. What are the prime factors of c?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2070 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.31, 0.3, -0.5, 3, -2.8, -7 in increasing order.\nAnswer: -7, -4.31, -2.8, -0.5, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o**2 - 6*o + 3. Let s be t(3). Suppose 0 = 3*p + p - 12, s = d + p. Let k be (-4)\/(-10) + d\/(-765). Is k < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52435862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8677?\nAnswer: 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-324)*(-6)\/10)\/(-5)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546040 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248249542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 870 - 228. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and 128?\nAnswer: -243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 9. Let g be o(4). Suppose 7770 = 3*b + t, -2*t = 3*t + g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - m + 1. Let w(x) = x**3 - 2*x**2 - 2. Let c be 43\/5 - 4*(-3)\/30. Suppose -3*i + 2 = n - c, 5*i + 4*n - 30 = 0. Calculate i*v(u) + w(u).\nAnswer: u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let c(t) = -t + 1. Suppose 8*v = 4*v + 52. Let o be c(v). Let p = o - -9. Let n(z) = 4*z. What is p*a(h) - n(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -116*v + 2. Let a(x) be the second derivative of -x**3\/3 - 78*x + 3. Determine b(a(o)).\nAnswer: 232*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 2*b**4 - b**4 + (-7 + 7 - 5*b)*(3*b**3 + 4*b**3 - b**3) + 2*b**4 - 37*b**3 - 4 + 37*b**3.\nAnswer: -30*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -0.031359?\nAnswer: 0.031359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((15 - 6*o - 15)*(o**4 + 0*o**3 + 0*o**3) - 40*o**5 - 26*o**5 - 27*o**5)*(1 + 0 - 2).\nAnswer: 99*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*c**2 + 114*c**2 + 10*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let d(x) = -9*x + 12 - 18 + 6. Give h(d(a)).\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.04 (b) 14 (c) -4.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -220?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27817, 55578, 83349, 111136, 138945?\n\"Answer: y**3 - y**2 + 27757*y + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111010 + -10?\nAnswer: -111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(567)*-2 + 0)**2 + ((sqrt(567) - 1*(1 + sqrt(567)))*1)**2.\nAnswer: 56701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -121. Suppose -4*b - 1 = 51. Let o = b - f. Put 5, 2, o in descending order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71809 is divided by 17947.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 19 + 11 + 8. Let t(q) be the second derivative of -q**4\/4 + 2*q. Calculate c(t(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 819*y**2 + 10*y + 3. Is u(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = -12. Is 3 a factor of ((-3)\/y)\/((-3)\/4) + 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 246261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -526 - -4)*(1 - -4). Suppose -p = -4*i - j, 4*p - 7894 - 2703 = -3*i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 - -0.9. Let y = 7747 + -7746.7. Which is the closest to 4? (a) y (b) 14 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -624301 and -0.571.\nAnswer: -624301.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -20 - ((-3 - 8 - 1) + 7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j**3 - 2*j**2 + j + 3. Let a be z(0). What is the closest to 2 in 1\/4, -1\/11, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.48972mm in centimeters?\nAnswer: 4.748972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87822324 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:45 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2. Let j be -3 + (4 - (-6 + 2)). Suppose -2*r - 1 + j = 0. Let g(d) = d**2 + 3*d**2 - 7*d**2 + 0*d**r. What is g(c(k))?\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182967 is divided by 59863.\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2093 and 68\/273?\nAnswer: 6279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 + 162. Suppose -i*o - 3*q = 31, 0 = -2*o - 3*o - 5*q - 45. Let g(n) = -n. Let h(v) = v - 6. Let z(x) = -4*g(x) - h(x). Determine z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v - 167. Let i be o(-25). Suppose 33*s + i = 41*s. Is 6\/53 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Suppose 9*v + 223 + 47 = 0. Let p be ((-18)\/20)\/(v\/25). What is the closest to -1 in 5, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6075 + -6073. Sort s, -10, -3, -42, 3 in decreasing order.\nAnswer: 3, s, -3, -10, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16d0 + -c?\nAnswer: 16c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2 + 8*d - 9*d + 1 + 0. Let c = 5 - 8. Let l(m) = 4*m + 2. Give c*k(i) - l(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1747599 - 4?\nAnswer: -1747603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1*1)**2 - (sqrt(539) + 0).\nAnswer: -7*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*f - 27 = -1, -3*z = -2*f + 23. What is the closest to 2 in z, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5 - 42\/(-10) - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, d: 7}. Give prob of picking 2 s and 1 d.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -612030958*k**3 - 1240317*k**2 - 95?\nAnswer: -3672185748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.703 decades in years?\nAnswer: 2447.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-64)\/12)\/((-12)\/(-36))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 + 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**3 + 3*a**3 - 3*a**3)*(102*a + 522*a - 85*a) to o + m*a + k*a**2 + f*a**3 + y*a**4 and give y.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-10))\/(2\/(-456)). Suppose 8*k + 26 - b = 0. Suppose -u - 4*u = 2*p - 111, -3*p - 2*u + 150 = 0. What is the remainder when p is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7960496437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5 + 2*b - 2*b + 4*b. Let d(s) = -s**3 + 10*s**2 - 6*s - 22. Let c be d(9). What is the tens digit of l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -895\/6 less than -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = y, 2*a - 7 = 2*y + a. Let u = -1 - y. Let d(p) = 4*p + 2. Let h(j) = -2*j + 8*j - j + 0 + 2. Calculate u*d(o) - 2*h(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/337050 and -54\/595?\nAnswer: 5729850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 9\/(-2) - -16*(-66)\/(-2112)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441266425 to the power of 1\/3, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -4292290.\nAnswer: -1\/858458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - q - 3*q)*(3*q**4 + 0*q**4 - 4*q**4) + q**5 - 2*q**5 + 3*q**5 - 5*q**5 + 2*q**5 - q**5 - 3714*q**4 + 3714*q**4 + 374*q**5.\nAnswer: 371*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1417193522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/7 + 274954*p\/7 - 6597744\/7 = 0.\nAnswer: 24, 137453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -5. Let x = 49\/78 - -1\/26. Which is the smallest value? (a) 3 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11104889 to the nearest integer?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrmrrrrrmmr. Give prob of picking 2 m.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17235590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 4) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 10:02 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let c(x) = 7*x - 1. Let u be c(w). List the prime factors of 1\/(-2) - u\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5970, -33\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*(-2248)\/(-15736)*(-14)\/198?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3263, -3262, -3261?\nAnswer: -3260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 40, 66, 88, 100, 96, 70, 16?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412, -3195, -10742, -25435, -49656, -85787?\nAnswer: -136210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 41209*b = 41204*b + 10, -5*b = -4*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8316 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:22 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 20, -u - 6*l = -3*l + 7. Solve -n = u*j + 10, -2*n + n - 3*j - 8 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/6 + 354*a**4 + 1123573*a**3\/6 - 758633*a**2 - 6232912*a\/3 - 1132096 = 0.\nAnswer: -1064, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.26. Let p = 0.06 + n. Which is smaller: p or 0.02?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 4)*(0*b - 2*b + 0*b) - 3 + 3 + 2*b as d*b + q and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-385)\/798*10 + (-12)\/(-76)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 532?\nAnswer: 531.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = k + 10998, -79 + 94 = -5*k. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**3*x**3 - 17*v**3*x - v**3 - v**2*x**3 - 2*v**2*x**2 + 298*v*x**2 wrt v?\nAnswer: -36*x**3 - 102*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12562*g - 211371 + 124681 = -483713 - 557689 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10910?\nAnswer: 2, 5, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojvvyvvcjvvjkjo. Give prob of picking 1 k, 1 v, and 1 y.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 3\/7, 170, 838?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 93844 - (11 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -540531070*-0.4\nAnswer: 216212428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/48076 and 65\/8568.\nAnswer: 865368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2307987 millimeters to kilometers.\nAnswer: 0.0000002307987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k**3 + 11*k**2 + 31*k + 4. Let c(n) = 14*n**2 - 16*n - 2 + 15*n**2 - 8*n**3 - 51*n**2 + 16*n**2. Give -11*c(w) - 6*s(w).\nAnswer: -2*w**3 - 10*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7878061 is divided by 2625979?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + 17 + 6 - 2*o**2 - 13 - 21. Let m(w) = -w**2 - w - 6. Calculate -3*a(t) + 5*m(t).\nAnswer: t**2 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010 (base 2) to base 5.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 599.99999571 + -600. What is c rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -5*m**7\/4 - 59*m**6\/12 - 15*m**5\/4 + 5*m**4\/3 + 1186*m. Determine t, given that h(t) = 0.\nAnswer: -2, -1, 0, 4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 1)*(-1 - 2*w + 1) - 53*w + 147*w - 46*w + 4*w + 2*w - 2*w as y + l*w and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57.7 and -0.2.\nAnswer: -11.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1650 and 7755?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*z - 9055 = -1593 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25901, -25904, -25909, -25916, -25925, -25936?\n\"Answer: -x**2 - 25900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 24*y + 11*y - 5*y + 2*y + 4*y + (-y - y + 4*y)*(-2 + 6 - 2) + (y - 3*y - y)*(2 + 0 + 0) as u + v*y and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 117*b**3.\nAnswer: -117*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2387 + -2382. Which is the closest to -2? (a) 10 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3473246*k**3 + 79492*k - 6 wrt k?\nAnswer: -20839476*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25846254 to the power of 1\/2, to the nearest integer?\nAnswer: 5084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**(13\/5)*(b*b\/((b*b*b*b\/(b**(6\/11)*b))\/b)*b)\/(b\/(b\/(b*b\/((b**0\/b)\/b)*b))) assuming b is positive.\nAnswer: b**(-523\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/16*(-16)\/(-10) + 0. Suppose -s = 4*i - 93 - 60, 3*i - 110 = f*s. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29675 divided by -5935?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 846252956661 less than 5?\nAnswer: -846252956656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (924\/49)\/(0 + (-2)\/(-35))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 29*u - 3. Is p(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9739 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: What is the third biggest value in -5, -2, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 23279449.\nAnswer: -28\/23279449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 902980 + 8316\nAnswer: 911296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -31*q**4\/24 + 13*q**3\/3 + 18*q**2. What is the derivative of g(j) wrt j?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 2. Let w be h(0). Let t = w + -8. Calculate the smallest common multiple of 11 and ((-4)\/(-12))\/((-2)\/t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (45 + -11)) + 13 - (-50 - 2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (3 - 3)) + -1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 3 + 17 = 0. Suppose 3*v - l - l - 45 = 0, -3*l = t*v - 30. What is the greatest common factor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/11 - 67*u**2\/11 + 131*u\/11 - 65\/11 = 0. What is u?\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -5*u**2 - 7 - 5\/2*u**4 + 0*u + 0*u**3. Find the second derivative of y(m) wrt m.\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + n**5 + n**5 + 5*n**2 - n**5 - n**2 - 3*n**2 + (3*n**4 + 4*n**4 - 6*n**4)*(3*n - 5*n + 0*n) - 3*n**5 + 8*n**5 - 14*n**5.\nAnswer: -11*n**5 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3211 - 32?\nAnswer: 3146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 610 + -385. Is y a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = n, -2*n + 3*o = 3*n + 2. Suppose 0*v = -v + 3. Put v, -3, n in decreasing order.\nAnswer: v, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4222685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 3 - 4*q - 3.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 53 + 131. Is o a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.341 + 29.941. Let s be (1 + 5\/(-3))\/(-2). What is the closest to -0.2 in 3, s, 4, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162137760 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 8 = -13*f. List the prime factors of 2\/((-1)\/(485\/f)).\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9143557 rounded to 3 decimal places?\nAnswer: 2.914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, -10, -54, -136, -268, -462, -730, -1084?\n\"Answer: -2*h**3 - h**2 - h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 5*m**2 - 7*m + 1. Let s(y) = y**3 + 2*y**2 - 3*y. Calculate 2*g(a) - 5*s(a).\nAnswer: -a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -90*y**2 - 455*y + 665. Let a(q) = -7*q**2 - 35*q + 51. Let x(u) = 40*a(u) - 3*k(u). Factor x(l).\nAnswer: -5*(l - 1)*(2*l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + 70 + 142*l + 108*l + 71.\nAnswer: 250*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**5 + t**4 + 11*t**3 - t**2 - 70*t + 12?\nAnswer: 180*t**2 + 24*t + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 82 = -2*j + 5*h, 0 = -2*j - h + 38. Let r = 25 - j. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*g - 22. What is the second derivative of g*t**3 + 0*t**3 + 25*t - 2*t**2 + 2*t**2 wrt t?\nAnswer: 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)\/(sqrt(22)\/sqrt(2)))**2*-2.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 108. Is y <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let h(k) = -k**3 + 5*k**2 + 9*k - 14. Let i(f) = -h(f) - 6*j(f). Is 14 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319811 or -319787?\nAnswer: -319811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 421, 423, 425, 427, 429?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.8 - -6. Let o = c - -0.2. Let b be (15\/(-9) - -1)*-6. What is the third smallest value in b, -0.3, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106739 + -167317. Suppose 0 = -5*u + 5*n + 573765 - 5880, -4*u + n + 454311 = 0. Let y = v + u. Round y to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51\/71 + -7979\/852. Calculate the common denominator of w and -53\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 57\/15)*(-13)\/(-52). Suppose -3*n = 9 + 6. Let x be ((-1)\/n)\/(3\/6). What is the closest to x in -0.3, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60767285 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - 1) + -1782 + 1805.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.6 - 67.6. Let l = -59.853 - j. Round l to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3554, 6961, 10368?\nAnswer: 13775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 4*a - 1\/9*a**3 + 0 + 1\/18*a**4 + 0*a**2. Let w(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 257 = -283. Let o(d) = 443*d**x - 450*d**2 + 0 - 4. Let c(u) = -22*u**2 - 11. Calculate 4*c(q) - 11*o(q).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s + 7. Let y(d) = 13 + 19 + 39*d - 11*d - 12. Let r(j) = 21*t(j) - 6*y(j). Let k(q) = 3*q + 4. What is -27*k(m) + 4*r(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -22 - 186*f - 7 - 136*f + 80*f. Is q(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-55 - -66) + (-2 + 3 - -34).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*c - 1370 = -1394, 0 = -4*c for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 17 = -5*s, -9*n + 6*n - 3 = 0. Solve 3*v = -4*c, s*c + 10 = c + v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -160 - -163. Solve 4*m - 9 = -v*z + 13, 0 = -2*z + 2*m - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 4*a = 4*x - 36, 0 = -5*x + 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-12))\/1*-9. Suppose -5*z + p*d + 280 = 10*d, -z = 3*d - 67. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:49 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22810633*q**3 + 37091*q**2 - 38*q + 8 wrt q?\nAnswer: -136863798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247\/6 - -41. Let t be (3 + -1)\/((-4)\/(-2)). Is o at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a*(a\/a**(3\/5)*a)\/a)\/a)**(-26)*(a*a**(-1\/7))**(-49))**15 assuming a is positive.\nAnswer: a**(-1566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1\/2, 3, -5, 4\/7, -165\/4 in descending order.\nAnswer: 30, 3, 4\/7, 1\/2, -5, -165\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 - -0.15. Let z = 2.93 - c. What is the third biggest value in z, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2555652 (base 8) to base 10\nAnswer: 711594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p + 3*q - 4 = 0, 4*p - 2*q = 24. What is the remainder when 23 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (7\/(-2))\/((-7)\/28*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/6, 332, 37\/2, 1 in decreasing order.\nAnswer: 332, 37\/2, 1, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*c - 10. Let f be ((-3)\/c)\/((-1)\/(-4)). Let i = -3 - f. Is i not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 59 (b) 0.2 (c) 3 (d) -0.5 (e) 30269 (f) 1\/11 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*o - 4, -d + 14 = 6*o - 2*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Suppose v*k = 4*k. Suppose k*n + 5*n - 280 = 0. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -415447 divided by 122.\nAnswer: -415447\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 40*i + 150. Let o be l(5). Let d(n) be the first derivative of o*n**2 - 3\/20*n**4 - 3\/10*n**3 - 1\/50*n**5 + 0*n - 4. Solve d(f) = 0 for f.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1642 + -1642. Suppose 0 = -2*q - 2, -4*z - 3*q = -5*q - 14. Which is the third biggest value? (a) 2\/3 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -0.129 (c) 4\/343\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1296 and 108?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14450727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 583837553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.0054\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 + 19*d**3 - 6470 + 6470 + 17*d**3.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiidaaiiaiaip. Give prob of sequence dp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11006432 by -11006432.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18109\/89795 - -30\/17959. Let z = -3 + 2. Let q = z - -0.8. Which is the nearest to q? (a) -3 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3358*v + 15605. Determine l(-5).\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/28)\/(48\/(-512)*4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/6*d - 1\/3 - 3\/2*d**2 - 1\/6*d**4 + 5\/6*d**3.\nAnswer: -(d - 2)*(d - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 335 = -0*i + 5*h, -362 = -5*i + 4*h. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*s - 113*s - 135*s - 19*s**2 - 129*s.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-4))\/(-5)*-28. Suppose -z + c + 5 = 0. Let j = -16 + z. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3892293 divided by -2349.\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/53)*g*(g**(2\/9)\/g)\/g*g)\/(((g**(-6\/13)*g)\/g*g)\/g)**25 assuming g is positive.\nAnswer: g**(72811\/6201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3937*x**2*z + 1398*x**2 - 6070*x*z - 18*x - 38 wrt z.\nAnswer: 3937*x**2 - 6070*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2252 - 400. Suppose g - 12*i - h = -7*i, 2*g - 3689 = -5*i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/576 and -51\/14.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 199792 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 180 = 18. Let j(w) = -10*w - 11. Let t(z) = 4*z + 4. Let h(q) = a*t(q) + 4*j(q). Let y(g) = -3*g**2 - 3*g**2 + g**2. Give h(y(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/((-279)\/(-40)))\/(14\/(-21)). Let m = -450\/217 - g. Let p = -44\/21 - m. What is the nearest to -1 in 4, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + ((-429)\/6)\/(39\/(-12))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 400 and 24.611904635?\nAnswer: 375.388095365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2299)*-1)**2.\nAnswer: 44*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 23 = 4*d + 3, y = 2*d + 20. Suppose -3*p = 0, -r + 5*p + 3 = -7. Calculate the greatest common factor of y and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -795*(-5)\/((-625)\/(-70))*80\/24. Let j = 258608 + -2828335\/11. Let h = y - j. What is the common denominator of h and 52\/17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668 + 162 = 5*c. Suppose -3*p - 281 = -3*t + c, 133 = t - 5*p. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556285267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/383 + -335\/3064. Which is the smallest value? (a) 3\/4 (b) 8 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 83, 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = 5. Let j(n) = n**2 - 25*n - 59. Let i be j(27). Sort i, -4, f, -3.\nAnswer: i, -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 57*m**2 + 30*m**2 + 1 to the form h*m**2 + x*m + j and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/(-31)*(-1)\/4*156\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 259.\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/618 and -21\/1133?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 117 - i + 135 to the form t*i + x and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 772220 (base 8) to base 4\nAnswer: 333102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -246*j + 249\/4*j**2 - 1\/4*j**3 + 245.\nAnswer: -(j - 245)*(j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5451, 10889, 16327?\n\"Answer: 5438*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -3*c. Suppose -c*m + 1 = -9. What is the derivative of u - u - m + u**4 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 29935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56.48267g?\nAnswer: 56482670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -13. Let m = 1.75 - x. What is m rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 0, -1, -2, -3, -4?\n\"Answer: -t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/315 (b) -0.4 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 1789*u = 1790*u - 41, -5*q + 4*u + 39 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.980511 rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 660 - 661.092. Let h = r - -18.1045. Let k = h - 17. Round k to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77)*-2)\/sqrt(11) + 0 - (-4*sqrt(343) - sqrt(7)*-3*-2))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + 4*(1 + sqrt(567) + sqrt(567) + -5 + (-2 + sqrt(567) + 1 - sqrt(567)) + -2*(sqrt(567) + 0 + -5)))**2.\nAnswer: -3750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5168870 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 21*h - 2. Suppose -1312 + 1240 = 8*l. Let j(c) = -10*c + 1. Determine l*j(x) - 4*b(x).\nAnswer: 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13391753.\nAnswer: 13391753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**4\/d))**30 assuming d is positive.\nAnswer: d**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15.106 * 0.3\nAnswer: -4.5318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-8 - -31) - (9 + (2 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/4 + 10*i**3\/3 - 15*i**2\/2 - 27*i - 1304. Determine t(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/30)\/((3360\/231)\/(3\/11)).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277486 and 176582?\nAnswer: 1942402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -4*r + 36, 56*r - 32*r = 23*r - 3*o + 97 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 0, 2*t + 49 = 5*k + 4. Suppose 0 = -f - 2*y + 4, -1 = -f + 2*y - y. Suppose 4*c + f = 38. Is c >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 3*s - 1912 + 1911, 2*m - 5*s - 19 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3178915 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15116 by 2.\nAnswer: -7558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-100)\/10)\/30\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.939 + -2.04. What is f rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1*((-3)\/5)\/(774\/(-12470)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011 - -100?\nAnswer: -10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 91983?\nAnswer: 11957.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 3:58 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7906880 - -3375880. Round u to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 16 = c, c + q - 15 = 13. Suppose -r + 4*g - c = 0, g - 4*g = -15. Let p(s) = 7 + s + 0*s + 0*s. Give p(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)\/sqrt(8)*1)\/(sqrt(1100) - (sqrt(1100) - sqrt(1100)*-4) - sqrt(1100)))**2.\nAnswer: 1\/500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/11 - 6*s**2\/11 + 296*s\/11 - 960\/11 = 0.\nAnswer: -15, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/17889 and -9\/104989?\nAnswer: 28032063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -a - 2*c, -5*c - 30 = -3*a + 2*a. Suppose -4*p = 0, -a*p + 0*p = 3*z - 33. What is the remainder when z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k - 26. Let w(r) = 19*r + 72. Let o(c) = -3*w(c) - 8*y(c). Let i(n) = -n**2 + 2*n - 1. Let h be i(4). Determine o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*q + 32 = 0, -q + 38 = -3*o + 4*q. Let f(v) = 9*v**2 - 9*v + 6. Let p(h) = h - 1. Let w(m) = o*p(m) - f(m). Let b(g) = -g. What is b(w(z))?\nAnswer: 9*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 3 + 5\/3*l**3 - 5*l - 5\/2*l**2. Is n(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 10*m + 34*m - 32585. Calculate the lowest common multiple of m and 2945.\nAnswer: 20615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3174.5 or 0.1?\nAnswer: -3174.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42545345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093106 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 8, e: 5, c: 1, p: 2}. Give prob of sequence rece.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2492320 and 1568.\nAnswer: 122123680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421, -840, -1259, -1678, -2097, -2516?\nAnswer: -2935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, -17 in descending order.\nAnswer: 2, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79065*l**3 - 86*l - 25?\nAnswer: -474390*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -103. Which is bigger: l or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15384*l**2 + 16118*l**2 - 222*l + 2 + 222*l.\nAnswer: 734*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:39 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 4\/13, 0.3, -1\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18290782441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -54466, -103995, -153524, -203053, -252582, -302111?\n\"Answer: -49529*n - 4937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17195737, 34391476, 51587215?\n\"Answer: 17195739*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 6*u - 5. Let a be b(4). Suppose 11 = -a*o + 62. Calculate the remainder when o is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3026.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 346*g - 6 = 353*g - 703*g, 2*v + 12*g - 58 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 126806, 126810, 126816, 126824, 126834, 126846?\n\"Answer: o**2 + o + 126804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -479 (b) -37 (c) 11.71 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:26 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/7 (b) -23 (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 2:29 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -460, -1039, -1850, -2893, -4168, -5675?\nAnswer: -7414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 15. Let i be q(4). Let m(n) = -n**2 + 2*n**2 - i*n**2. Let k(o) = -3*o**2. Give m(k(z)).\nAnswer: -90*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/180 - u**5\/9 + 11*u**4\/36 + 2*u**2 - 113. Factor o(g).\nAnswer: -2*g*(g - 1)*(g + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1452\nAnswer: 1\/726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4 - 27445786*a**3 + 188317709952073*a**2 + 1129907000748768*a + 1694860871641344 = 0.\nAnswer: -3, 13722896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611998*s + 11115*s + 59398*s.\nAnswer: 682511*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 1026 = -3*z. Let r be (1106\/(-28))\/((-1)\/2). Let n = z + r. Solve -6*m - 10 = -3*m + k, -n = m + 5*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-6 + 0 + sqrt(66)\/sqrt(6) - ((sqrt(99) + 1)*5 + -5))**2.\nAnswer: 27500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-18) + (-3)\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300931\/18 - -16726. Find the common denominator of 15\/232 and t.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11\/6 - -5\/3. Let r = c - -2\/3. Factor 0 + 0*x**2 + r*x - 1\/2*x**3.\nAnswer: -x*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3862.506ug?\nAnswer: 0.000000003862506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 12 = 7*n. Let q be 1 + (-2)\/((-2)\/(-3)) - n. Find o such that -23 - q*o**2 - 20*o + 73 + 4*o**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 4*n + 3. Calculate h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-6 + 1*sqrt(1377) + 3 + (sqrt(1088) + -1 + (sqrt(1088) - -2*sqrt(1088)) + sqrt(1088) + 4)**2.\nAnswer: 231*sqrt(17) + 27212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -6*g + 310. Suppose -42 = 17*c - g*c. Let h = 41 - 22. Solve -h = 4*i - c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d**3 - 2\/5*d**4 + 0*d + 4\/5*d**2 - 2\/5.\nAnswer: -2*(d - 1)**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47625500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2022 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 682 + 188. Suppose m*p - 333 - 237 = 0. Solve -q - p = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2*p - p + 15, -4*t - 3*p + 21 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 856\/39. Let c = -12005 + 396137\/33. What is the common denominator of z and c?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81408)\/(-3869) - 35 - (-17 + 3).\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 31 = c, -34*r = -39*r + 2*c - 59 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 take away -11163?\nAnswer: 11166.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11899.5 + 11899. Put p, 0.0628, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.0628, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14483.\nAnswer: 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-22))\/((-1296)\/(-3168)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, -0.1, 3, 5, 25294, -0.4, -2\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-4)*(39256000\/(-21))\/(-1). Round r to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210359 is divided by 101?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - 2)\/1 - -37 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2150 + 8671\/4. Find the common denominator of l and 210\/(-88) - ((-279)\/(-36) + -8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/424 and 11\/42.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*o - 19. Let x(r) = -3*r - 3. Is x(o) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6959 plus 148086437?\nAnswer: 148079478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1781.1257 + -1781. Let b = h - 0.126347. What is b rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -12*c - 3*d - 19, -c + 13 = -5*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 0.609.\nAnswer: 0.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0943 - -16.6943. Let p = -22.6 + t. Let u = -1.2 + 1. Which is the closest to p? (a) 3\/4 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/64 - 128044\/72352.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) 555 (c) 1 (d) -360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 129571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + g + (-4*g + 4*g - 4*g)*(-3 + 1 + 3))*(-1 - 54 + 14)*(-3*g**3 - 2*g**3 + 4*g**3) as n + i*g + x*g**3 + q*g**2 + f*g**4 and give f.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/2 - z**3\/3 + 2*z**2 - 9483. Let j(w) = w**3 - w**2 + 3*w. Calculate 3*d(c) - 4*j(c).\nAnswer: 2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-6)\/(-2))*-1. Let b(h) = h**3 + 14*h**2 - 7*h**2 + 6*h + 3 + x. List the prime factors of b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 109022.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -142?\nAnswer: -7\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:36 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.09 - 35. Let f = n + 2.61. Let d = 2.6999932 - f. What is d rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2930503 - 158492 = -365*y. What is the remainder when y is divided by 249?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10469, -9, -113 in ascending order.\nAnswer: -113, -9, 10469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*u - 8, -3*v - 2*v - 3*u + 13 = 0. Suppose 5*y + 5*m = 3 - 13, v*y - m = 5. Let o(g) = -1. Let q(a) = a**2. Give y*o(j) + 2*q(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 - 5)*(-472 + 18*t + 472).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7198 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 35, 44, 51, 56?\n\"Answer: -p**2 + 14*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811013307.9 rounded to the nearest one million?\nAnswer: -1811000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4352846 litres to millilitres.\nAnswer: 435.2846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 - 115. Let z(r) = r - 1. Let h(w) = -10*w - 6. Let i(g) = f*z(g) + h(g). Let s(t) = 2*t. Give s(i(j)).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/5 (b) -1 (c) -0.2 (d) 3 (e) 2.6 (f) -894\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-48)\/18)\/(((-15)\/54)\/5). Calculate the highest common divisor of 240 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 5*j + 3 + 4*j)*(2*j - 2*j**2 - 2*j) in the form c + w*j + z*j**3 + l*j**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -244*d**2 - 4*d + 1. Let y(j) = -49*j**2 - j. What is 2*u(o) - 11*y(o)?\nAnswer: 51*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8575260 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, 19, 61, 119?\n\"Answer: 8*x**2 + 2*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 6)*(-3*r - 4*r + 4*r) - 9*r - 22 + 22.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (124*6\/36)\/(2\/(-93)). Let i = o + 4808\/5. Which is smaller: i or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (72\/(-42))\/(-2)*21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 + 5*m - 2. Let v(i) = -17*i**2 + 19*i - 20. Let u(t) = -33*t**2 + 36*t - 43. Let k(f) = -3*u(f) + 7*v(f). What is 11*b(a) - 2*k(a)?\nAnswer: -4*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(156) - (sqrt(156) + -1*sqrt(156))*3)\/sqrt(12) + sqrt(832) + -4 + sqrt(13) + sqrt(156)\/(sqrt(60)\/sqrt(5)))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 24*y + 41. Let c = 6169 + -6146. Determine k(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10707461.\nAnswer: 10707461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1674 or 5024\/3?\nAnswer: 1674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7928.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 3\/9*57 + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 11. Suppose 2*p + 6 = -4*y, 0 = -6*p + p + 4*y - 29. Let v be (p\/(-4))\/((-3)\/(-156)). Calculate the greatest common divisor of v and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 1, 188, -2, -3, -1, 49 in descending order.\nAnswer: 188, 49, 1, -1, -2, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 174?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/9)\/8*21\/(-2184)*-39?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(140)*-3*-2)\/((-1*sqrt(40)\/sqrt(2) - sqrt(20))\/(sqrt(4)*2*3)).\nAnswer: 1 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1 - (-39 + 35 + 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1896 by -6.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {t: 3, v: 1, p: 5, o: 1, c: 10}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 4 = -22*s. Let j(g) = -g**2 - g. Let m(r) = 47*r + 26. Let x(n) = s*j(n) - m(n). Is x(-23) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bccs when four letters picked without replacement from {s: 3, r: 1, l: 2, c: 6, n: 2, b: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 31*r**2 - 34*r + 59. Let c be u(32). Let j be c + (-4 - 195\/(-21)). Factor 0*m + 2\/7*m**2 + j*m**3 + 0 - 2\/7*m**4 - 2\/7*m**5.\nAnswer: -2*m**2*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*sqrt(288))*-2 - ((4*(sqrt(14)*3 - sqrt(14) - sqrt(14)))\/(sqrt(567) + sqrt(567) + -3*sqrt(567)))**2.\nAnswer: -96*sqrt(2) + 616\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13613*i = -13609*i - 24 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16215412.3 to the nearest one hundred thousand.\nAnswer: -16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/8 - 2103*z**3\/4 - 418947*z**2\/8 - 1054851*z\/2 - 1305360 = 0. What is z?\nAnswer: -1295, -96, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-18 - (4 - 14)) - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 79*g - 78. Suppose -35*s = -45*s + 20. Let z(i) = 39*i**2 - 1026*i + 1014. Let y(q) = s*z(q) + 27*c(q). Factor y(x).\nAnswer: -3*(x - 26)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1246744 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6612, 6578, 6542, 6504?\n\"Answer: -x**2 - 31*x + 6644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(1\/3)*a))**12*(a*a\/((a\/((a\/(a\/a**(-5)*a)*a)\/a*a))\/a)*a)\/(a**(-2\/7)\/a)*a\/(a*a**(-3\/7))*a**(4\/9)*a*(a**2)**(-18) assuming a is positive.\nAnswer: a**(-3203\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172*q**3*z**3 + 4*q**3*z - 143*q**2*z**5 - 2*q*z - 25*z - 101 wrt z?\nAnswer: 1032*q**3*z - 2860*q**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 36. Let n be j(-17). Let z(r) = r**3 - 6*r**2 - 5. Let f be z(6). Let k be 2 - f*2\/(-2). Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1df8 - 2?\nAnswer: 1df6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 20*x - 7. Let b(s) = -s**3 + 8*s**2 + s - 4. Let u be b(8). Let h = u - 4. Sort 1, h, x.\nAnswer: x, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239 is divided by 123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2 - (-4)\/3). Solve -1 = -l*s + 3*i + 8, 5*s + 2*i - 15 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5)*-1 + 0 + sqrt(5) + -2*sqrt(5) + sqrt(5).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y + 8*b + 44 = 0, 0 = 5*y - 2*b - 106. Solve 5*t = -3*j - 13, -3*t - 15*j + y*j - 1 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:43 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -700 from 5.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -35) + -32 + (37 - 9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3515669*y. Let h(b) = -b. Calculate h(t(f)).\nAnswer: 3515669*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0 - 7\/2*b**2 - 18*b - 5\/4*b**5 + 0*b**4 + 0*b**3. Differentiate v(z) wrt z.\nAnswer: -75*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2 + 14. Let q = -23.085 - -548.405. Let j = -525 + q. What is the second biggest value in -4, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.7 and 1627.\nAnswer: 15781.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 260840960 to the nearest 100000.\nAnswer: 260800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 4698.\nAnswer: 32886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(1*sqrt(7)))\/(sqrt(98)*3).\nAnswer: sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 6, 2529*r - 2533*r - 2*b = 130 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 28*p + 0 + 3.\nAnswer: -28*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2527, -902, 721, 2342, 3961?\nAnswer: 5578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x\/(x\/(x*x**(6\/5)\/x))))\/(x\/(x\/x**(2\/21))))\/(x**(-2\/11)*x*x*x**(3\/5)) assuming x is positive.\nAnswer: x**(-3134\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239909, -239864, -239733, -239474, -239045?\nAnswer: -238404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 9*f - 5. Suppose 0 = 3*v - 4 - 11. Suppose -3*y + 4 = -n - 8, -10 = -v*y. What is the tens digit of k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127554389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15362859 divided by 3?\nAnswer: 5120953","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 17 = 26. Let w(v) = -2*v + 23. Let b be w(10). What is the second derivative of 17*g**3 + g - 3*g - 3*g**b + 4*g**h wrt g?\nAnswer: 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034 a factor of 3098692896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2)\/(-6 + 115\/20). List the prime factors of -234*((-50)\/(-15) - s).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4947, 9888, 14827, 19764, 24699, 29632, 34563?\n\"Answer: -s**2 + 4944*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((1365\/(-28))\/13)\/(3\/(-16)). What is the greatest common factor of b and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 1671, -2\/15, 0.8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 63376.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (5 - (-61 + 142))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 28 = 2*k, 3*k + 14 = -2*p - 0*p. Suppose 5*m - 4*m - 20 = -4*s, 5*s - 25 = -5*m. Sort 5, m, p.\nAnswer: p, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18855 - -0.08855. Which is the second biggest value? (a) -11 (b) 6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -965*p = -970*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 24*u + 61. What is c(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/107 + 208\/321. Let b be (-1)\/2 - 84\/(-8). Let v = b + -5. What is the biggest value in w, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let m be (-2 + 1)\/(0 - s). Calculate the remainder when 8*(m + (-6)\/(-4)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9163?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 4*c. Let v = -8 + 3. Let u(s) = -2*s**2 + 9*s. Let x(y) = v*n(y) - 2*u(y). Find h, given that x(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1768, 1767, 1766, 1765?\n\"Answer: -j + 1769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11530641 is divided by 547.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**6\/450 + 2*c**3\/3 - 2. Let w(i) be the third derivative of a(i). Factor w(o).\nAnswer: -4*o**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q**2 - q**2 + 2 + 0*q**2)*(-3 + 5 - 3)*(-43 - 7 - 43).\nAnswer: 651*q**2 + 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -1 + (-29 - (-238 - -152))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/23, 0.3, -5 in decreasing order.\nAnswer: 0.3, 2\/23, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 531 (c) 0.2 (d) -287.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -20*n - 40. Let m be o(-2). Suppose -v = -6*v + y + 4, m = -2*v + 4*y + 16. Solve 2*h = 4*u, v = -4*h - 0*h - u - 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**2. Let m(x) = 15917*x**2. What is h(m(g))?\nAnswer: 2280158001*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*a - 2*a + 0*a)*(-1 + 0 - 1) - a - 2*a + 2*a + 2*a + 0*a - 3*a + 4 - 2*a - 4 + (1 - 1 + 2*a)*(0 + 0 - 2))*(3 - 3 + a**2).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 divided by 42276.\nAnswer: 173\/42276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i**12\/i)*i*i**(1\/4)\/i*(i**0\/i)**(2\/101) assuming i is positive.\nAnswer: i**(-3543\/404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73\/5 of a century?\nAnswer: 17520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/3 - (4 - (6 + -4)). What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 5. Let v(d) = 4*d + 20. Let t be v(x). Let l(m) = -m**3 - 16*m**2 - m - 5. Is l(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 18*n**2 + 4040*n - 8085. Give g(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82 - -2 - (6 + -2). Let u = 83 - x. Solve -h = -u, t = 4*h - 7 - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14)\/(-7)*65\/(-1100) and -10\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*u - 278*u - 272*u + 1378*u - 291*u - 282*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 503 - 273. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-12) - (-609)\/(-234) and 5\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118, 463, 1038, 1843, 2878?\n\"Answer: 115*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18193749 is divided by 230.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (5 - 9) - 6 - (0 - 25)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*r - 197*r + 1271 + 842 = 745 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80290 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-266)\/19*(-108)\/6. Calculate the highest common divisor of h and 2916.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**7\/1680 - 3*d**6\/320 - 9*d**5\/160 - 31*d**4\/192 - d**3\/4 - 27*d**2 - 4*d. Factor y(t).\nAnswer: -(t + 1)**2*(t + 3)*(t + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13101100 - 202?\nAnswer: 13100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2250 = 48*r + 13*r + 29*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91543739.\nAnswer: 7, 2531, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-39)*(-32)\/48.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78538 + 78538.34839. Round j to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a minute in seconds?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 116530? (a) 0.1 (b) 2\/5 (c) 4 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 + -10. Let t = 1328\/4599 + -2\/657. What is the closest to m in 5, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*q + 5*o, -5 = 8*o - 3*o. Suppose a = -q*a + s - 8, 0 = 5*s - 15. Let v(u) = -u. List the prime factors of v(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -73?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 4, z: 7, u: 1, b: 2}. Give prob of picking 2 k.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20140*q + 20. Let n be t(7). What is n rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 3387014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7218*d**2 - 16*d + 33. Suppose -3*o - f + 22 = 3*f, -16 = -4*f. Is h(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96541239 rounded to the nearest 1000000?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v + 238 + 162 = 0. Solve -6*b - v = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Let u(g) be the third derivative of 169*g**5\/60 + 6*g**2 - 2. Give l(u(a)).\nAnswer: 57122*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484320, 968620, 1452920?\nAnswer: 1937220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208\/3 - -68. Let u = -0.7 - 3.3. Which is the smallest value? (a) -0.1 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18363193?\nAnswer: 43, 509, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/((-7631)\/6457)*(-2)\/22.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65)*-2 + sqrt(65)) - sqrt(65))\/(4*sqrt(5)*-2) - (5 + sqrt(26)\/sqrt(2) + sqrt(26)\/sqrt(18))**2.\nAnswer: -335*sqrt(13)\/24 - 433\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -415*z**3 - 294*z**3 - 77 + 39 + 40 to the form n*z**3 + x*z**2 + c + k*z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -627 + 1896. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbsksbkss. What is prob of sequence bkbk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 7:06 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2822827 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2. Suppose 2*z - 5880 = -3*d - 0*z, 0 = 2*d - 2*z - 3910. Let u(p) = d + 14*p - 1958. Determine w(u(k)).\nAnswer: -392*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248066 = -3*c + p + 36035, 141367 = -2*c + 5*p. Round c to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 21 = -9. Suppose 5*l = 3*s + 2, 0 = l - d*l + 5*s. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -56, -206, -500, -986, -1712?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 448992581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8264855 is divided by 11909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -551, -552, -555, -560, -567, -576, -587?\n\"Answer: -h**2 + 2*h - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-38)\/(-7))\/(((-96)\/147)\/(-32)). Solve 6*c + 32*c = l for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Let p be 0*-3*(-1)\/(-6). Let x(d) = p*d + b*d + 0*d + 0*d. Give x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1790 and -19\/479183.\nAnswer: 4791830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1723 = -13*v - 449. What is the remainder when 1368 is divided by v?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10706730 divided by -263?\nAnswer: 40710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51\/2 + -25. Let a = -2 - -2.15. Let v = 0.05 - a. Which is bigger: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 5*d - 20, -2*g - 5*d - 20 = 0. Suppose -3*h - 13746 = -b + 21245, 3*h - 9 = g. Round b to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 8. Let y be o(7). Suppose 26*a = y*a. Suppose -5*l = c - 23, 0*c - 5*c - l + 19 = 0. Solve 2*t = 4, 0*k - k + 3*t - c = a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/510)\/((-20)\/8150) - -4 and 109\/48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 11. Let a be g(9). Suppose 5*r - 14 = 3*y, -a*y - y + r = 10. Let b(k) = -2*k + 3. Calculate the remainder when 17 is divided by b(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 25*d**2 + 2*d + 44. Let l be m(-25). Which is bigger: l or -9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0)\/(-10 + 11). Let c = 401 + -398. Solve n = z - 3*t + 1, 5*z = -c*t - 0*t - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 7790?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 28*p - 47. Calculate w(30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (61 - 1) + (-21 - (89 - 110)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (4 - 4) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/6 + 7*g**3\/3 - 6*g**2 + 14*g. Let o be c(-8). Solve -2*i = 3*n - 9, -5*n + o = -3*i - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.5 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 - (-19 - -18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/126*-6*-12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-915)\/25 - (-366)\/(-915)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -3057a?\nAnswer: -30586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + 15\/20. Suppose -a = -3*p + 2. Let j be 5 - p - 16\/5. What is the closest to -3 in -0.4, -0.1, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhhhhhhhyhhyy. What is prob of picking 2 h and 2 y?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40480 + 40492. Let z be (6\/5)\/(3\/10). Solve -n + z = -5*h, -2*n - 3*h = n - s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102781134 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2385 and 13610400.\nAnswer: 40831200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2473 + -2469. What is the closest to 1 in -1\/7, 3\/4, 371, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1685055 or 1685058?\nAnswer: 1685058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74460, 296258, 665920, 1183446, 1848836, 2662090?\n\"Answer: 73932*j**2 + 2*j + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 300 - 393. Let a = 96 + c. Solve -3*f - 3*h = -0*h - 9, -a*f - 2*h + 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 25. Suppose -m - 191 = -2*g, -4*g - o*m + 375 = m. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 + 137*b - 235*b + 95*b.\nAnswer: -3*b + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 3:26 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*i**3 + 18*i**2 wrt i?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:50 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.6 times -21.955?\nAnswer: 1506.113","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1\/10)*u**12)\/(u\/(u\/u**10*u)*u*u*u*u*u**8*u) assuming u is positive.\nAnswer: u**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.42671 years to centuries.\nAnswer: 0.6742671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-537)\/(-522) + (-66)\/((-21384)\/(-378))?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -68*d. Let v(j) = j + 14. Determine v(h(i)).\nAnswer: -68*i + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.125 * 0.176434\nAnswer: 0.02205425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -9. Let t be (3\/1 + i)*-4. Solve 5*x - t*w = -30, -3*w = -x + w - 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -602?\nAnswer: -1\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6092344890?\nAnswer: 2, 3, 5, 37, 1829533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5960 + 18044 = -4*h. Is h\/(-9) + (-2)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose -w = i*w - 10, 4*w = 4*h - 4. Suppose -s - h*s + 8 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8)\/(c**3*c))**(-24\/7)\/((c**1\/c*c*c**(-5\/2))\/(c\/(c\/(c\/c**(-7\/3))*c)*c*c*c**(-1\/6))) assuming c is positive.\nAnswer: c**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 23*l**4\/6 - 3*l. Let i(s) be the first derivative of s**2 - 808. Give g(i(z)).\nAnswer: 184*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5626992663 to the power of 1\/3, to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9656 divided by 1.\nAnswer: -9656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179a (base 15) to base 13.\nAnswer: -241c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*f - 5*f, -4*f = -4*j + 20. Let c = 132 - 54. Suppose 2*b + b - 156 = -4*n, -5*b = -j*n + c. Is n a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*z + 285*z + 308 = 0. Which is the nearest to -0.1? (a) z (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160629 + 321235 - 160606 + 9*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + r + 6638 = 6636, 4*p + r = -2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223853 is divided by 2953.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 13 = -2*m - 2, -4*m - 15 = u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863935271?\nAnswer: 677, 1276123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10522359 divided by -9.\nAnswer: 1169151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 20*g**2. Let u(r) = r + 136. What is u(v(y))?\nAnswer: 20*y**2 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 6272?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 284340803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1325, 2652, 3979, 5306, 6633, 7960?\nAnswer: 9287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -123*d + 620. Let o be m(5). Sort -4, 0, -3, -5, o in descending order.\nAnswer: o, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 5, k: 2, c: 2, y: 1}. Give prob of picking 2 y and 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -26*v + 114. Calculate the common denominator of n(6) and -77\/339.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 - 1 = 0. Is 33 a factor of (-700)\/(-21) + h\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -181979515 (b) 1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -187 - -82?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbvunubl. What is prob of sequence lu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -144344.4 less than 2042803?\nAnswer: 2187147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.2. Let k = 51664\/7 - 7381. Put b, k, 0.2, -2\/13 in descending order.\nAnswer: 0.2, b, -2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*k + 46 = 0, -3*z - 2*k = -z - 32. Suppose 0 = -2*d + 2*n + 44, 6*d - 7*d - 3*n = -42. Calculate the highest common divisor of d and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-4)\/(-24)). Suppose l*n + 2 = j + 1, -j = 2*n - 1. Suppose 3*f = 2*f - 2. Put j, f, -1 in descending order.\nAnswer: j, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:16 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 z when three letters picked without replacement from {y: 1, f: 1, c: 2, o: 2, z: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -54*u - 213. Let i(n) = -8*n - 5. Let f(r) = -9*i(r) + q(r). What is f(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8814, -40188, -92442, -165546, -259470, -374184, -509658?\n\"Answer: 5*j**3 - 10470*j**2 + j + 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -30, -29, -10, 33, 106, 215?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 36*l**3 - 18*l**3 - 15*l**3.\nAnswer: 3*l**3 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - 0.1. Let w = 616 - 614. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cct when three letters picked without replacement from {e: 1, t: 1, c: 3, i: 10}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 7 - 19*u**2 + 17*u**2 + 4*u**3 - u**3 - 2*u**3 + 2*u + 2*u**4 to the form j*u**4 + k + a*u**2 + x*u**3 + p*u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961264.\nAnswer: 2, 73, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {l: 1, o: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11965.\nAnswer: 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*y - y + 70, 86 = 5*y - 2*x. What is the smallest common multiple of 30 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 59 + 2*o - 59. Let i(m) be the first derivative of 0*m - 1\/2*m**2 + 2. Determine s(i(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18800, -37186, -55574, -73964, -92356?\nAnswer: -110750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 4*h - 1, 4*h = -2*q + 8*h + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25204997 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -2440244230?\nAnswer: 2440244232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1.1. Let s = -67.8 - -68. Let u = y + s. Which is greater: 11 or u?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)\/z*z)\/(z*z\/(z\/((z**(5\/4)\/z)\/z)))*((z*z**(2\/9))\/z)\/z**(-5) assuming z is positive.\nAnswer: z**(-1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 0*n)*(-147*n + 147*n - 5*n**4) + 0*n**5 + 2*n**5 - 3*n**5.\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11032 is divided by 809.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -229328, -7, 1?\nAnswer: -229328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 73\/4 - ((-28)\/56)\/(6\/(-228))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 3*l + 3. Let h be m(4). Let t = 1523 - 7588\/5. Let g = 889\/160 - t. Is g bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x + 90. Let y be x\/35*1\/(-2). Let i(d) = d**3 - 6*d**2 - 6*d - 4. Let n be i(7). Sort y, -2, n in descending order.\nAnswer: n, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 30*z - 18. Let l be w(8). Suppose -4*a - 57 - 116 = -3*u, -4*u = -a - l. Let p = -33 + u. Calculate the smallest common multiple of 18 and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-5)*(-30)\/(-9). Let a = -28 - u. Let t(i) = 4. Let d(n) = -n. Let b(j) = -d(j) - t(j). Calculate b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1789 divide 119755013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/8 and -67\/1335?\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*z**3 - 1413132*z**2 - 11346711264*z - 7220062192.\nAnswer: -4*(z + 16058)**2*(11*z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 2)\/((-6)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, i: 3, h: 3, z: 4, t: 6, e: 1}. What is prob of picking 3 t and 1 h?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 400 - 5)\/(-9 + 11). Let s = g + 209. Determine l, given that -s*l + 1\/4*l**2 + 49 = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/55, 494, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 - (0 + -9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138854 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 91*l**5\/10 - 9*l**4 - 137*l**3\/5 + 226*l**2\/5 - 177*l\/10 - 1\/5 = 0. Calculate l.\nAnswer: -2, -1\/91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x - 69 = -10*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 8:30 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71758.1g in milligrams?\nAnswer: 71758100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304168 and 570315?\nAnswer: 4562520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18530472?\nAnswer: 2, 3, 19, 40637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - (-12)\/(-9). Let u be 44 + 1 - (0 + k). Suppose 134 = 5*a - u. Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 6\/17, 22\/9, 3\/7?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30709.\nAnswer: 7, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*t**5\/3 + 10322*t**4 + 11413920*t**3 - 9785888*t**2\/3.\nAnswer: t**2*(t + 2212)**2*(7*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*v - 455*v = 467*v - 1543*v + 8300 for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -2656, -8931, -21118, -41179, -71076, -112771, -168226?\nAnswer: -239403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*((sqrt(51) + (sqrt(51) - sqrt(357)\/sqrt(7)) + sqrt(51))*-6 - sqrt(51)))\/(sqrt(27) - sqrt(108)*3) + 0).\nAnswer: 52*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 548, 1804, 4 in decreasing order.\nAnswer: 1804, 548, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 + m + 1. Let b(k) = 2*k**3 + 2*k**2 - 4*k + 3. Calculate -b(d) - 4*u(d).\nAnswer: 2*d**3 + 2*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12296813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:59 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86\/7 in -971, 2\/23, 0.04?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 - 4*v + 2. Let r be j(5). Let u = r - 3. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac6e7b (base 15) in base 13?\nAnswer: -191c834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31596.9 + -31597. Let s = 1 + -0.8. Which is the nearest to -0.2? (a) s (b) z (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454770670 rounded to the nearest 1000000?\nAnswer: 455000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3306)\/(-152))\/29*-1*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.4 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(152) - sqrt(152)*1)*1)\/sqrt(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a9 + -35991?\nAnswer: -3607a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 361*t + 89 - 7 - 45 as f*t + j and give f.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 31*u + 2. Let n = -145 + 155. Let m be z(n). Solve 5*w - 2*w = m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 - 3*l - 2. Let n be j(9). Let q = 1492 + n. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25872 divided by 14706\nAnswer: 4312\/2451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 2395*x**2\/2 + 4798*x.\nAnswer: -x*(x - 2399)*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 1. Let w be n(-2). Let y be ((-1)\/(-3))\/(w\/21). Suppose -d + 5*i = 2*i - 13, -2*i = 5*d - 150. Calculate the greatest common factor of d and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/94619 and -3\/4?\nAnswer: 378476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 0.3955421?\nAnswer: 14.6044579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3436 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 177 + -178 - ((3 - 1) + -2 + 10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 780.753 weeks in microseconds?\nAnswer: 472199414400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-36)*-4*(-8)\/(-8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b - 37*b + 1693 = -1882 + 425 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from vvelveyssvvyeesess?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3450477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*q**2 - 187*q**2 + 21*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 87.9. Let b = 291.72042 - 287.6204166. Let r = d - b. Round r to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 3*r + 3. Let b be z(-4). Suppose -44 = -3*k + b. Let a(f) = 2*f. What is the remainder when k is divided by a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45)\/(-5))\/(3\/4) - 3. Suppose -t = -2*s - 1. Solve 0 = -5*m + b + 16, -m + s*m - b = 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/4))\/k**6*(k\/(k\/(k\/(k*k*k**0\/k*k*k))))**(1\/22)*((k\/(k\/k**2*k)*k)\/k*k\/(k\/(k**6*k)))\/(k**(1\/2)\/(k\/(k*k**4))) assuming k is positive.\nAnswer: k**(-103\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 395167.09 times -1.5\nAnswer: -592750.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -858, -0.3, 1\/2, -4 in decreasing order.\nAnswer: 1, 1\/2, -0.3, -4, -858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 30*p - 10*p = 16*p - 40, -4*p - 48 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -7*s**2\/2 + 1. Let w(g) be the second derivative of -g**4\/4 - 4*g - 6. Give x(w(u)).\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n - 56. Let l be p(9). Suppose -2430 = -2*m - l*m. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6 - (-4832)\/(-15168). Let x = b - -13586\/1027. Which is smaller: 12 or x?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -629859 and -629859 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2 - -2 - 2. Let u(y) be the first derivative of -y**4\/4 - y**3\/3 + y**2\/2 + y + 9. Let p be u(g). Solve 2 = 4*d - t - t, p = -5*t + 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 5*d, -5*d + 0*d = i - 15. Does 16 divide (-61)\/3*(5 - d)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-18) + 1\/(-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -616.69988 - -616.6. Let b = n - -0.1. Round b to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 36. Let s be c(10). Suppose s*d - 10 - 90 = 0. Calculate the remainder when 38 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 - 152*i + 7023. Determine c(-80).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + p = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 513972 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28263574961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-6)\/(3\/1). Suppose 4*v - 175 = o. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 11*j - 11. Let r be c(-4). Let t be 33\/r*20\/(-22). Determine s so that -2\/11*s**3 - 6\/11*s - 2\/11 - t*s**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2) + 11 - (-17 - -49).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 475140335 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216407 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 n = -117 - -165. What is the remainder when n is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to 16.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**5 - 509199*m**4 + 1018413*m**3 + 509199*m**2 - 1018410*m = 0.\nAnswer: -169735, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**2 - 10*l**2 - l - l**3 + 0*l. Let w = 170 - 154. Suppose -8 = -4*j + 2*f, -3*f = f + w. Determine o(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:45 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/(-6) - 730\/584 and 4\/10 - (-57)\/120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. What is the lowest common multiple of t and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m. Let p(o) be the first derivative of -17 + 1\/2*o**2 + 0*o. Give f(p(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/(-110))\/(1\/(35\/14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*q + 5*f + 9, -3*q + 72 = 3*f. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13952 times -3?\nAnswer: -41856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(450\/27))\/((-1331)\/(-605))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -121020+-360\nAnswer: -121380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 42229. Let k(m) = -10*m. Give f(k(s)).\nAnswer: 20*s + 42229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-17\/4)*d)\/d**(-2\/13)*d*d**2*d\/d**10 assuming d is positive.\nAnswer: d**(21\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102.33 + 101.33. Let o = -8 - -12. What is the third smallest value in o, m, -17, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 30295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*g - 12 = 0, -2*y + 3*g + 12 = 4*g. Suppose 0*m = y*m - 36. Suppose 355 = m*i - 5*i - 3*x, i = -5*x + 106. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(77) - sqrt(77)*-2))\/(-6*sqrt(7)*1) - (-4*sqrt(5324))\/(sqrt(36)\/(sqrt(81) - sqrt(9) - sqrt(9))))**2.\nAnswer: 75779\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (89\/8 - (20 - 18)\/16)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1231397 meters to micrometers.\nAnswer: 123139.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50982*o**4 - 72708*o + 2 wrt o?\nAnswer: -611784*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 172 = 2*v, -5*c - v + 221 = -2*v. What is the highest common factor of 81 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 24*h**2 + 4*h - 24.\nAnswer: -4*(h - 6)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 z when three letters picked without replacement from {a: 9, s: 4, p: 4, j: 1, z: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126176 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1 - 4. Let x(z) = -z**3 + 7*z**2 - 8*z + 7. Let d be x(6). Let s = d + l. Solve 3*w + w + 12 = s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/252 and 64\/49383.\nAnswer: 1382724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.822584 rounded to two decimal places?\nAnswer: -2.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(9\/(-2)) - 0. Let r = 10 - 12. Put r, o, -3 in decreasing order.\nAnswer: o, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.025\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (233\/3*1)\/(71\/852)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 142a5?\nAnswer: 142a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byyybbboybb. Give prob of picking 1 o and 2 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - u = 527, -2*u - 226 = -3*c + 163. What is the remainder when c is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -13*f + 15*f. Let l = -10 + 10. Suppose l*n + 10 = 5*n. What is the least common multiple of f and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 887866364 to the nearest integer?\nAnswer: 29797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79528079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2824*b**2 - b**3 + 14 - 88*b - 2843*b**2 + 4. Give a(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 2, i: 2}. What is prob of picking 1 b and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -30.2. What is the third smallest value in 1, -1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.7 + -3.3. Let i = 4.959 - -0.041. Which is the second biggest value? (a) i (b) -2 (c) 1\/5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1. Let j(q) = q**2 - 5. Suppose 12 - 24 = -3*a. Suppose 0 = -f - 0*f - 4*v - 27, a*f + v + 168 = 0. Let b = f + 47. Determine b*p(n) + j(n).\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 14*i + 30. Let c be f(-3). Sort c, -0.4, 1\/2 in ascending order.\nAnswer: -0.4, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 68 - 18. Let d = 3 + x. Let a(r) = -r**3 - 5*r**2 - 6*r - 4. Let w be a(-4). What is the greatest common factor of d and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1671 and 62\/1671.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2029?\nAnswer: 8116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-5*sqrt(3)*2 - sqrt(3)) + sqrt(3)))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + -1*sqrt(88))*-4*-4)\/(-5*(sqrt(144)\/sqrt(3))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*z**2 + z - 83*z**2 + 42*z**2 + 21 to the form g + j*z + m*z**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*x + 1 = 0, 0*x - 5*x - 25 = 2*m. Let d(l) be the first derivative of l**2\/2 + 11*l - 59. What is d(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031979 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:33 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 6, c: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (((sqrt(77)*-3 - sqrt(77)) + sqrt(77))*-1 - sqrt(77) - sqrt(77) - sqrt(77)))\/sqrt(11).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 6*q)*(q - q + q)*(q**2 - 3*q**2 - 4*q**2)*(8 + 2 + 5).\nAnswer: -90*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 132?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 85 = -8*a. Calculate the remainder when a is divided by 5 - (-3)\/(-12)*0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5 = 4*c, -3*v - 4 = v - c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 75*v**2 - 72*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*k + 10 = -6*k, 5*j - 2*k - 44 = 0. Suppose j*r = 12*r - 348. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056 = -2070*p + 1718*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30337529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 1717 divided by -1717\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) -1600.1 (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -15. Let f = 9 - 7. Solve 2*c - z = -f*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4919 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/10 + j**2. Let q be d(1). Let m = 8 - 0. What is the highest common factor of q and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5054493 is divided by 631802.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/11 + 88146*g\/11 + 1942429329\/11 = 0 for g.\nAnswer: -44073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2 - (-34 - -21)) + (7 - 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/(10\/25). Let x(w) be the second derivative of -w + 0*w**4 + 0*w**2 + 0 + 0*w**s - 1\/126*w**7 + 0*w**5 - 1\/90*w**6. Let x(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -765, -1536, -2307, -3078, -3849?\n\"Answer: -771*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 81 - 112 = 5*p, 3*q = -5*p - 29 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000209878197 rounded to 7 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 13, 6, 0.505, -5 in decreasing order.\nAnswer: 184, 13, 6, 0.505, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-8)*(w**11*w)\/w*w)**(13\/4) assuming w is positive.\nAnswer: w**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0. Let r = 0.5 + j. Let w be -4 - -10*(-3)\/(-9). What is the nearest to w in r, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 239 + 826 = -v, c + 4*v = 187. What is the highest common factor of c and 780?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 61*m - 93. Calculate y(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 185.1 and 96.\nAnswer: 17769.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f + 48*f - 10 = -5*l, -5*l - 4*f = -10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -882 by -1103869.\nAnswer: 882\/1103869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f. Let p be q(-1). Let d be -3 + (2 - 1) + 4. Suppose 0 = d*x + 2 - 10. Which is the closest to p? (a) 0 (b) -1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + 102*v**2 - 87*v - 612. Calculate c(50).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 8:41 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -814.82 and 0.06?\nAnswer: -48.8892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 531 and 14809.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*a + 279*a - 20 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 34*k**3 + 14*k**2 - 60*k + 54. Let x(z) = -7*z**3 + 9 - 2*z**2 - z**2 + 12*z - 20. Let y(p) = 3*l(p) + 14*x(p). Factor y(u).\nAnswer: 4*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 3*n**2 - 4*n - 2. Let y be m(-4). What is the common denominator of (-4)\/(-88)*(-78)\/y and 2*((-657)\/12)\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.1, 1\/68, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212 - -614. Let b = -157 + r. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7515 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -5*w + 89. Suppose -d - 2 = w*g - 13, d = 3*g - 3. Solve -i + 0*i - 5*o = 18, -g*o - 9 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 13*i**2 - i + 12. Calculate l(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1))\/(-1) + 264\/(-660). Suppose -4*k = -2*h + 18, -118*k + 11 = 3*h - 120*k. Let x = 3 - 2.6. What is the nearest to h in -2, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3*1\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 - 0)\/3)\/2. Sort 2, -2, -1, -143, i in increasing order.\nAnswer: -143, -2, -1, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*f**2 - 59*f**4 + 5154*f**3 - 5154*f**3 as m*f**4 + t*f**3 + a*f**2 + i + p*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 13*v**2 + 31*v + 19. Let s be y(12). Suppose -507 = 4*r - s. Suppose -6*l + 2 = -4*l. What is the greatest common factor of r and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10321172179694\/12855 + 802891652. Let i = r + 6\/857. Factor -2\/15*d**3 - 2\/3*d**2 - i*d + 0.\nAnswer: -2*d*(d + 1)*(d + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7585.7 - 7586. What is the nearest to 1 in 81, 1\/2, o, -3\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100657, -100403, -100149, -99895, -99641?\nAnswer: -99387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q - 2*m + 3890 = 0, 9 = 3*m. Suppose 0*w - 3*n - q = -2*w, 3*w - 4*n = 2915. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/30 + n**4\/12 - 2*n**3\/3 - 21*n**2. Let l be d(3). What is the third derivative of 5 + 1 + l*u**2 - 6 - 3*u**3 wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46655 - -67186. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u - 5*n + 46, 4*u + 3*n - 120 = 0. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*f - 12*f + 273 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, 86, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -45.6. Which is the closest to 2\/3? (a) s (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -2110942, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-3) + (0 - 2). Let v be -3*(7\/3 + a). Let s = 5 - v. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/44 and -56\/5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/24*-6*2\/210.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 2*h - 5*h = 3*p, -p - 2*h = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 4668 + 2379 - j**2.\nAnswer: -9*j**2 + 7047","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - -3*sqrt(68))*6)\/(sqrt(36)\/(sqrt(9) + sqrt(9) + sqrt(81)\/sqrt(9))))**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 670\/67*(-4)\/30.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 - 87*q - 173. Is k(38) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*f + 466*f - 17238 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 - t**2 - 4*t + 5. Let p be i(1). What is the tens digit of ((-38)\/p)\/(2\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 2.2, 16, -3, 1\/919?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.3701 rounded to zero dps?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 784897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-1)\/2 + 1). Solve 0*a + v*a = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 3*u - 40 = 0. What is the second derivative of -23*t - 11*t + 0*t + 10*t**u wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/10 and 14246 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 390, -18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 727 = -807. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 8*i + 31. Differentiate 2*f - i*f**2 + 13 + 8*f**2 - 2*f wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + 3.6. Let w = -4 + v. Let o = 0.44 + -0.04. What is the nearest to 0.3 in w, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:33 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/307525 in -2\/55, -1, 2\/5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 6*g + 3*g + 4*g - 78 - 204.\nAnswer: g - 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 3, m: 7, c: 9}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = -20, 5*k - 4*d - 41 = 0. Suppose -35 = k*b + 5. Suppose 5*r - 7 + 32 = 0. Sort 2\/11, r, b in decreasing order.\nAnswer: 2\/11, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -33, -14128, -1, 12 in increasing order.\nAnswer: -14128, -33, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o + 12 = 40*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 128 = -83*a - 364 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1251 and 507.\nAnswer: 634257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101200 + 100122?\nAnswer: 2202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -752530 rounded to the nearest ten thousand?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v - 2. Let p be g(2). Let h(y) = 2*y**2 + 11*y - 12. Is h(p) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63276 divided by -31638\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 569969080.32?\nAnswer: 569969080.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + 2*b - 6. Let c be 198\/30 - (-2 + 16\/10). Calculate q(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.253 - 0.27. Let b = -0.06 - h. Round b to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2 and -127\/6420.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwcq when four letters picked without replacement from {t: 4, c: 3, w: 1, q: 6}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + 6*w + 4. Let t(r) = -5*r**3 + r**2 - 13*r - 9. Let m(j) = -7*k(j) - 3*t(j). Let b be m(4). Suppose -5*a + 2 = -b*a. Is -2\/11 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 - 30*i - 5. Let v be a(-5). Let u = 6 + -3. What is the closest to -0.2 in v, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + p - 1 = 0, 18*q = 21*q - 2*p + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -672978 >= -672971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + 2*o**4)*(180 - 180 + 16*o) + 3*o**5 - 15*o**5 - 9*o**5.\nAnswer: 11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/25, 2\/3, 0.8, -8\/21, -20\/19?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2 + 3*a + 71. Is c(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 5. Let i be c(-10). Let b = i - -43. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2) + 4 + -4. Let p be z\/((-14)\/(-5) + -3). Suppose -3*q - 15 = -2*k, 0 = -2*k + 3*k - 4*q + p. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41923 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjkjkj. Give prob of sequence jk.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/16)\/((-13)\/52)*840\/(-180)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-80)\/(-90)*(-3)\/6)\/(20\/(-6)). Put u, 0.5, -2\/85, 1.17 in descending order.\nAnswer: 1.17, 0.5, u, -2\/85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*336\/48?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19727393 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85*s**2*y + 232228*s*y + 395916682*y wrt s?\nAnswer: -170*s*y + 232228*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101.9 + 102. Let r = -223\/756 + 1\/108. What is the closest to r in -2, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694137824, -1388275649, -2082413474, -2776551299?\nAnswer: -3470689124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -440117.\nAnswer: -440117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, -1, -4, 5, 8 in descending order.\nAnswer: 8, 5, -1, -4, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from caaaaaacaaaaaaaaaaac.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160*g**2 - 25*g**3 + 9*g**4 + 11*g**3 - 55*g**3 - 4*g**4 - 3840 + 1280*g - 11*g**3.\nAnswer: 5*(g - 12)*(g - 4)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -2 + (-18)\/3. Let j be 12\/18 - 7\/d. Suppose 0 = -y + 5*u + 15, 2*y + 3*u - u = -6. Put -2, y, j in descending order.\nAnswer: j, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*7\/(-14)*96. What is the third derivative of -55*r**2 - 10*r**2 - 2*r**4 + 3*r**4 + d*r**5 wrt r?\nAnswer: 2880*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.7 + 6.7. Let m = 33 - 29. Which is the second biggest value? (a) h (b) m (c) -4\/3 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605584 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/18)\/((-35)\/84) + (-3 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 687266?\nAnswer: 687268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1*sqrt(70) - sqrt(70)))\/sqrt(10)*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l + 45. Let r(k) = 9*k + 50. Let h(z) = -3*f(z) + 4*r(z). What is h(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -111*g + 753. What is d(6)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 4*(sqrt(7) + 0))**2 + (6*(sqrt(112) + sqrt(7)))**2)*1.\nAnswer: 6475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -16666*z**2 + 4*z. Let w be r(-6). What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = 1966854 - 385854. Round r to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-4) + (-34)\/(-68). Suppose -y*w = -5*j + 15, 2*j + 7*w + 6 = 5*w. Which is smaller: 2\/607 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/710 and 113\/10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1650 = 3*t - 5*s, t - 5*s = 257 + 303. Let o = t + -540. Solve -2*p - 4 = 0, o*y + 5*p = -13 - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - 3*d**3 - 4*d**3)*(2*d**2 - 4*d**2 + d**2) + (d**4 - d**4 + d**4)*(-18*d - d - d).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 11. Let n be a(0). Let j = n - -18. What is the remainder when 19 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6723890.\nAnswer: 2, 5, 509, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23290811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652821.\nAnswer: 1652821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*((sqrt(1008) - ((sqrt(1008)*2 - sqrt(1008)) + -4)) + -5*(sqrt(1008) + sqrt(1008)*-5 + sqrt(1008)))**2.\nAnswer: -453632 - 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12681*o + 12680*o - t + 14 = 0, -2*o - 3*t + 30 = -0*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -222, -94730 in descending order.\nAnswer: -1, -222, -94730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqs. What is prob of picking 2 q and 1 s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -795 - -565. Let p = -2988\/13 - h. Which is the second biggest value? (a) 0.3 (b) -2\/13 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 - -162. Calculate the remainder when 74 is divided by 380\/5*m*(-3)\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + h**2 + 2*h + 2. Let m be f(-1). What is the remainder when -432*m*((-3)\/(-2) - 1) is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = -12*m - 20. Let z = -32 - m. Solve z = -a - 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549501 is divided by 84?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 392, 401, 410, 419, 428?\n\"Answer: 9*w + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -373 - -373. Suppose z = 30*p - 5*p - 94975. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -1. Suppose 5*c + 2 = y*c. Suppose 0*b - 4296 = -4*o + 4*b, 0 = -c*b + 6. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/6*(-7 + 13). Let j be (3\/(-4))\/(2\/h). Solve 0 = -j*w + 3 + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 366*h - 1 - 1.\nAnswer: 366*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -2033131.\nAnswer: -1219878.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -400 + 397. Let f(x) = -2*x**3 - 4*x**2 + 4*x - 1. Let b(q) = -q**3 - 3*q**2 + 3*q - 2. Calculate m*f(v) + 4*b(v).\nAnswer: 2*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*l + 42 = 0, -5*l + 53 = 6*m - 3. Is m <= -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929081 is divided by 231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76)*5*1)\/(sqrt(44)\/(sqrt(33)\/(sqrt(12)\/sqrt(4)))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/6)\/(-1) + 1)*-1\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 33\/622?\nAnswer: 33\/622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101060 is divided by 163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f + 48 = 46*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*b**3 - 59*b**3 - 38*b**3 - 60*b**3 - 66*b**3 + 349*b**3 - 64*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -4 (c) -27.5 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2114 - 2?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39856 is divided by 19922.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 4*a - 1. Let j be z(-5). Let k be j - (-8 - (6 - 5)*-4). Sort 8, 9, k.\nAnswer: k, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -254*a - 11382. Determine p(-45).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2 and 79\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -3, 1, -2, 8, -52 in descending order.\nAnswer: 8, 1, -1\/7, -2, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 - 110. Factor 77*i - 200*i**b - 208*i - 5 - 24*i**4 - 56*i**4 + 81*i - 165*i**2.\nAnswer: -5*(i + 1)**2*(4*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfcqjkq. What is prob of sequence jqkq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83803\/60 + 5587\/4. Let m(q) be the third derivative of 0 + 21*q**2 + 0*q + 0*q**4 - 1\/2*q**3 - s*q**5. Let z(g) = -1. Determine m(p) - 4*z(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4264 + 1154 = 7*p. Let u = p + -380. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:02 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*h - 260*h = 114 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/46 and -16\/491763.\nAnswer: 983526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 5 (b) 2\/15 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, 55, 130, 185, 220, 235?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239925 + -239924. Let s = -0.1 + 5.1. Which is the fourth smallest value? (a) -0.6 (b) s (c) 0.5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - h - 4*h - 64 - 14 + 3*h in the form k*h + j and give j.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00563439 to 5 decimal places.\nAnswer: 0.00563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 112073 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**5\/20 - l**4\/4 + l**3\/2 - l**2 - 2*l - 116. Let x(j) = -j**3 - 4*j**2 + 4*j - 3. What is -3*m(a) + 2*x(a)?\nAnswer: a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nunuudud. What is prob of picking 1 u and 2 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1841 + -1844. Let p = 0.14 - 0.44. Which is the second smallest value? (a) p (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 762 = -2*a, -285 - 93 = -z - 2*a. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 - 69. Solve i + c*i - 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*d - 2, -5*d - 1511*u = -1514*u - 34 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43415 + 26126?\nAnswer: -14256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 84813060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 39*u + 10. Suppose 0 = -4*m - 0*o + 2*o - 30, -5*o + 20 = m. Sort u, m, -6 in descending order.\nAnswer: u, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r - 10. List the prime factors of g(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 164*s - 12*s - 127*s. Let j(g) = -70*g - 1. Calculate j(x(o)).\nAnswer: -1750*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26 - 21) + -179 + 2)*(0 + 2\/(-8)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = -b. Suppose -4*y + 14*k + 5 = 9*k, -y = -5*k - 5. Solve 0*t - 5*j - 22 = 2*t, y = t - 4*j - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41766.\nAnswer: 2, 3, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/329 - 29884\/3619. Let t = f - -1345\/132. What is the common denominator of t and 2\/63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338295, -338342, -338471, -338724, -339143, -339770?\nAnswer: -340647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864 a factor of 689934478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/240 - s**5\/60 - s**4\/48 + s**3\/6 + 8*s**2. Factor a(n).\nAnswer: (n - 2)*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-17 - -10) - (-1 + -21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 610710345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 0*w + 4*w - w - 6. Let z(h) = -2*h**2 - 23*h - 10. Calculate the smallest common multiple of z(-11) and a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -126. Sort -25, -2, t in decreasing order.\nAnswer: -2, t, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + y + 15, m - 83*y + 5 = -88*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 - 7*x**3 - 17*x**3)*(-6 + 4 + 0).\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5 + 2 + q**3 + (-q**2 + 0 + 0)*(0 - 2*q + 0) - 3*q**3 + 3*q**3 + q**3 in the form x + c*q**3 + l*q**2 + b*q and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 269 - 263 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49\/(-14)*((-16)\/(-20))\/((-2)\/5) is divided by (-2)\/3*12\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + b. Let v be h(1). Suppose -n = -v*n + 2. Let s be (-3)\/(-7) + 270\/105. Solve s - n = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*j + 148*j + 84*j.\nAnswer: 45*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 3 + 3 + (-2 + 5 - 1)*(-m + 0*m - m))*(2 - 36 - 10 - 12).\nAnswer: 392*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let k(x) = -391709456*x. Determine k(b(i)).\nAnswer: 391709456*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 100*u**2 + 5*u + 5. Let r be (-5)\/(-10)*80\/(-2). Let i be (r - -19)\/(-1 - -2). Let m be c(i). What is the greatest common factor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 8*g + 5. Let z be a(4). Let y(h) = 3*h**2 + 8*h - 12. What are the prime factors of y(z)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 5*g. Let b(v) = 21652*v - 21652*v + 9*v**2. What is j(b(x))?\nAnswer: 81*x**4 + 45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6)*34 - 6\/18. Suppose -9 = -x + 2*m, -m + v + 2 = 3*x. What is the least common multiple of x and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v + 6. Let z be u(-11). Round z to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 12. Let t be f(11). Let a be 10 + 4 + t + -8. Does 12 divide (-22)\/(a - (-56)\/(-11))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.647006*1.\nAnswer: 7.647006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115050, 230094, 345138?\n\"Answer: 115044*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(875) - -6*((sqrt(875)*-1 - sqrt(875)) + sqrt(875))) + 2*sqrt(875)*-1)\/((4*sqrt(84))\/sqrt(12) - (sqrt(28)\/sqrt(16) - sqrt(7)))*1)**2.\nAnswer: 24500\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 15 = 3. Let j = -12 - x. Is 4\/6 + (-631)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 times 5\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f - 10. Suppose -3*g + 4*w - 13 = 0, 0*w + w - 50 = f*g. Let l(b) = b**2 + 11*b + 9. What is the units digit of l(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((a*a\/((a*a\/(a**(-5)\/a))\/a*a*a)*a)\/a)\/a)\/a)**26)**(-50))**(-2\/69) assuming a is positive.\nAnswer: a**(-7800\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -988, -2838, -5600, -9280, -13884, -19418, -25888?\n\"Answer: -g**3 - 447*g**2 + 404*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23243 (base 11) to base 14\nAnswer: c336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -1 + (169 - 23775\/175)\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z + 0*z + z + (16*z + 13*z - 54*z)*(1 - 4 + 1) + (-z - 2*z + 2*z)*(2 + 2 - 2) as m + a*z and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-12) - (-2093)\/42. Suppose 34 + k = 2*r. Sort 2, r, -1 in increasing order.\nAnswer: -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -202 + 214 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n + 584 - 80*n - 584.\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, 4\/9, -2123, -37.\nAnswer: -2123, -37, 0, 0.3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1832?\nAnswer: 3\/1832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 24 = 4*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 2. Let c(i) = -4*i - 5. Let j(t) = 2*c(t) - 5*m(t). Suppose 2*g = -2*g + 8. Let w(d) = 4*d**2 - 4*d**g + d**2. Calculate j(w(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22132018.\nAnswer: 2, 47, 235447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12216100 rounded to the nearest one hundred thousand?\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-285)\/(-190)*104\/2?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.7 + -35.7. Let r be (-40)\/(-105) - 2\/(-7). Which is the biggest value? (a) m (b) r (c) 129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 10*q**2 + 9*q + 1. Let y be f(9). Which is the closest to y? (a) 5 (b) 1\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and -350.5.\nAnswer: 876.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*j = -520, m - j = -3*m + 523. Suppose -1039 = -13*c + m. What is the remainder when c is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 + 0*b**4 + 0*b**5 + 1\/3*b**7 + 0*b**6 + 0*b**2 + 5\/2*b**3 + 14*b. What is the second derivative of w(x) wrt x?\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 1, h: 1, a: 1, t: 3, e: 2}. Give prob of picking 1 t and 1 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 33 = -4*v, -5 = -2*v - b + 16. Sort 3, 4, v in ascending order.\nAnswer: 3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g + 1. Suppose 0*j - 2 = j. Let u be 1*j\/1 + 2. Suppose -5*p - 4*t = 5, -2*p + u*p + 2*t - 2 = 0. What is w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90.3091ml?\nAnswer: 0.0903091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3613.7 + -3614. What is the closest to -0.02 in 0.4, 4, z, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.4 + -3.6. Let b = -887.52187 + 867.521. Let x = z - b. Round x to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3147, -456, 2297, 5142, 8109, 11228, 14529, 18042?\n\"Answer: 5*b**3 + b**2 + 2653*b - 5806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + n + 9 = -k, 0 = 3*k - 2*n - 16. Suppose a + a = -12. Let r = a + 14. What is the highest common divisor of k and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 1, l: 1, m: 1, i: 1}. Give prob of sequence mtmm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488 is divided by 2225.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/7610, 2, 3, -0.2, 0.5 in decreasing order.\nAnswer: 3, 2, 0.5, -9\/7610, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 6*q**2 + 4*q - 4. What is the tens digit of c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*l**3 + 1 + 32*l**4 - 33*l - 30*l**4 + 31*l + l**2 + 1 in the form z*l**3 + i + c*l + s*l**2 + q*l**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-93)\/(-217))\/(20\/(-14))*-8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 15*t**2 - 76*t + 2. Let k be s(-19). Suppose -2*u = -4*u + 36. What is the highest common factor of u and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 + 27*h**2 + 7*h + 17. Give v(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-5)\/5*(-10)\/8. What is the third derivative of -4*s**4 - 3*s**2 + 5 + s**4 - u wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dah when three letters picked without replacement from {d: 5, r: 3, p: 1, h: 1, a: 2, v: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2119 is divided by 76?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 786075 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -248, -268?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 51\/5, -5, -16.88 in increasing order.\nAnswer: -16.88, -5, 1, 5, 51\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 2*a - 7 - 1. Let v be m(-5). Let k be 46 + (v + 2)*1. What is the highest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6*j + j + 6 = 0, -s = -3*j + 10. Let p be (-84)\/s*2\/(-2). Suppose 5*t = 94 - 199. Is t >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005265648094 rounded to 4 dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126.811 + 86.2. Let a = m - -18.65. Let v = a + 22.2. What is v rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*l + 5*x + 3, 6 = 3*l - 2*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckkck. What is prob of picking 2 c and 2 k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22892, -22883, -22874, -22865?\nAnswer: -22856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - (-39 - -5)) + -1. Suppose 3*d + j + 93 = 5*l, 0 = -4*d + 12. Calculate the remainder when 109 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -83.5. Let r = d - -86. Let b = r + -73. What is the nearest to 1\/3 in -3, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 3. Let u be r(1). Solve 7*i + u - 9 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 1. Suppose -2*i = -0*b - 5*b + 17, 0 = -2*i + b + 3. Let p be g(i). Solve p*t + 1 = -2*n - 3, -5*n - 5*t = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/8)\/(2\/(-4)). Let s = -55 + 61. Let b = z + s. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -29. Let h be (5\/2)\/((-28)\/q + -3). Suppose -2*s + 60 = 5*r - h, 0 = -2*s - 3*r + 59. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d + 3. Let y be 10\/(-4)*(-34)\/5*-8. Let m = 133 + y. Calculate x(m).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 250398.96257.\nAnswer: -250403.96257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208205 is divided by 207786?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + b = 4*a + 7, 35 = -5*a - 4*b. Let p = 7 - a. Let g be (-41)\/(-5) - p\/50. Solve -j + g = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-6)\/(-1) - (2 + -4). Let m be (7 - 5) + 2 + v\/(-1). Solve -4*y - 2*d + 26 = 0, -4*y + m*d = -y - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**5 + 7925*a**4 - 86655*a**3 + 133735*a**2 + 86660*a - 141660 = 0?\nAnswer: -1, 1, 2, 9, 1574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 58*b**2 + 9988*b - 9989*b + 20*b**2)*(2 - 2 + b**3).\nAnswer: -38*b**5 - b**4 + 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9*d*d*d**2*d*d**(-5\/2)\/d*d**(2\/9) assuming d is positive.\nAnswer: d**(193\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1531 - -1534. Sort 17, h, 0 in ascending order.\nAnswer: 0, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7324 times -0.1?\nAnswer: -0.27324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(396)*5 + -3 + sqrt(396)).\nAnswer: -12 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710 take away 0.6?\nAnswer: -1710.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7490*i + 22660. Give d(-3).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 970470 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 179962021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 172 and 2.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67224?\nAnswer: 2, 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65362615 - 1373987530264\/21021. Let d = -3\/1001 - l. Is d greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + 21. Let t(k) = -60*k**2. Give t(h(i)).\nAnswer: -540*i**4 + 7560*i**2 - 26460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3055\/(-564))\/(-13))\/((-2)\/(-264)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1383 = 4*z, 4*z - 5*z = -2*s - 339. Is z != 345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2069)\/(-2))\/((-1)\/(-8)*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110692?\nAnswer: 2, 27673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180701.9897 + 180538. Let s = -164 - o. What is s rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10677201 a multiple of 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/3 - y**3\/3 + 784*y**2 + 1. Let o(z) = -12*z. Calculate o(g(p)).\nAnswer: 240*p**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19056 divided by 4\nAnswer: -4764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -36*(141\/(-12) - -4). What is the second derivative of -334 + f - g + 67*g**4 - g + g**2 wrt g?\nAnswer: 804*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from {y: 2, f: 9, j: 6}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 150924127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 7. Let u(r) = -3*r - 6. Let s(o) = 4*k(o) - 5*u(o). Let q be s(3). Let z(y) = 8*y**3 - 9 + 67*y**2 + y - 65*y**2 + 9. Give z(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324*a**2 - a**6 - 13*a**6 - 341*a**2 wrt a?\nAnswer: -1680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 129*(33\/9 + -3). Suppose 0 = -5*o + r - 31. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7926706 and -4.\nAnswer: 31706824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 238219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156511\/34 - 4606. What is the common denominator of t and 95\/382?\nAnswer: 6494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283089521 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1256993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, -7, -0.15?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -160, 0.3, 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 2. Let a(b) = 6*b + 3. Calculate 4*a(s) + 5*d(s).\nAnswer: -6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45822 by 7.\nAnswer: -6546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:27 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17 - -3*(-3 + 4). Let m = -5 - v. Find the second derivative of 11*s - m*s**4 - 36*s**3 + 36*s**3 wrt s.\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421026 = 51*h - 262*h + 440649 for h.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 27680.909.\nAnswer: 110723.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13354.39 seconds to microseconds.\nAnswer: 13354390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*1 + sqrt(133))\/sqrt(7) - (sqrt(152)\/sqrt(200) - sqrt(19)) - (1*sqrt(1539)*-4)**2.\nAnswer: -24624 + 14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1943, 3893, 5843, 7793, 9743?\n\"Answer: 1950*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 4:33 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -82, -135, -204, -295, -414, -567?\n\"Answer: -g**3 + g**2 - 39*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18952 - 30941 + 897 + 254 - 177 - 34272)*(3*p + 2*p - 6*p).\nAnswer: 83191*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1290\/(-10836))\/((-10)\/18).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - 12*r + 25. Let l(o) = -7*o**2 - 23*o + 50. Let y(c) = -9*h(c) + 4*l(c). What are the prime factors of y(11)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 12 = -4*k, 3*k - 23 = 5*m - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, l: 3}. What is prob of picking 3 l?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*q = 64, -884*a + 881*a + 69 = 6*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*d**2 - 49*d**2 + 154*d**2 - 4 - 50*d**2 + 6*d**3 to the form l*d**2 + h*d**3 + b + u*d and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-5)\/2*8. Suppose 3*m - 9 = -b, -6*b + 9*b = 2*m - f. Solve -m*q + 8 = 5*t, 4*t - 2*q - 10 = -7*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 692 = -7*h. Let v = h - -238. Does 9 divide v\/24 + 1\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, -45, -131, -291, -549?\n\"Answer: -4*h**3 - h**2 - 5*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 416 + -459. Which is the second smallest value? (a) -2 (b) 0.2 (c) -4\/7 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 18*o**2 - 20*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.68 + 0.32. Let k = -38 - -34. What is the fourth biggest value in -17, 0.8, k, b?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019340191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76*c + 218*c + 98*c)*(-3 - 2 + 1 + (-3 + 0 + 4)*(-4 - 3 + 5) + 2 - 1 + 0)*(0 - 3*c + 0) as u*c**2 + m*c + b and give u.\nAnswer: 3600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5691 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-1400)*-20)\/(1\/(-2))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232440 less than -0.1153?\nAnswer: -232440.1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36640 by 2.\nAnswer: -18320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243211 (base 5) to base 3.\nAnswer: -110121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-5904)\/1980 - 45\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3784 and 5489.\nAnswer: 1888216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -4 (c) -0.05 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + u**2 + 93 + 6*u**2 - 6*u + 2*u - 80.\nAnswer: 7*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Suppose -4*r = -5*h - 7, -r + 2*h + 14 = -5*r. Put -4, v, r, 3 in descending order.\nAnswer: 3, v, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 45072*r - 507871296.\nAnswer: -(r - 22536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 11:53 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2505.4227 months in centuries?\nAnswer: 2.08785225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/((-2)\/(-3)*582\/(-1164))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 + 192. Solve -17*p + 26*p = -c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Suppose 0 = 2*p - 2 - u. Suppose -2 = -h - 2*m, 5*h + 2*m - 12 = p*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + -4)\/(-1) + 109. Calculate the highest common divisor of z and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35562.753 rounded to the nearest ten?\nAnswer: -35560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001277 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 737*w**2 - 737*w**2 - 6 - 4*w**4 with respect to w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246.1 + 200. Let j = -139.5 - x. Let p = j - -109. Round p to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 4836*x + 2923362.\nAnswer: 2*(x + 1209)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 661757*m**5 - 18*m**4 + 3*m**2 - 4867683.\nAnswer: 39705420*m**2 - 432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2750 + 8849. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 27*r**2 + 24*r + 54. Suppose 0 = -2*a - 6*h + 2*h + 52, 2*a - 52 = -h. Let z be g(a). Solve 6*l - z*l = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834357 is divided by 6418?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + -83 + -4 - (0 - 84)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.99 - 0.01. Let s = -236 + 235. Let k = -100 + 698\/7. Which is the closest to s? (a) 5\/2 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*q**2*s - 133546*q**2 - q*s - 60*q - 18199*s wrt q?\nAnswer: 268*s - 267092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -8*g - 80, -10*g - 16 = -26*c + 22*c - 0*c + 2 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28825\/13, -2\/7, 1 in decreasing order.\nAnswer: 1, -2\/7, -28825\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140 - 1667. Let b = -28990\/19 - v. Find the common denominator of b and 27\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -87. Suppose -4*t + 4*z + 1196 = 0, 504 = p*t - 3*z - 695. List the prime factors of t.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -79.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g**4*h - 2*g**3*h + 5*g**2*h + 2*g**2 - 2*g*h wrt g.\nAnswer: 240*g*h - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-72)\/5 + -16 + 26)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose 1 = g - d, g - 23 = -4*d - 7. Suppose g*i + 12 = i. What is the nearest to 0.1 in i, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1100) + 5 + -2)*1)**2.\nAnswer: -60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7980)\/16*(-1320)\/(-10780) + 1\/14\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 204 in 0.01, 1.82, -85?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24045454 (base 7) in base 9?\nAnswer: -4004677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 3 + 3 + (-1 + 1 - 2*x**2)*(-2*x + 2*x + x) + 0*x**3 + x**3 + 2*x**3 - 2*x**3 + 1 - 1)*((-4 + 3 - 2)*(x - x + 2*x) + 0 + x + 0).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(90\/156) + -64 + 71?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*p**5 - p**3 - 14*p - 7 wrt p.\nAnswer: -680*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 7, j: 3, u: 8}. Give prob of picking 3 q and 1 u.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/12 - h**3\/6 + 35*h**2\/2 - 4*h. Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 48. Suppose 3*b - 219 - 45 = 0. Let t be u*(-1 - (-3 + b)). Round t to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (2 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (6075 - 0) + 30\/(-10) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3977456 and 288081456.\nAnswer: 2016570192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-26)\/15*20\/(-8). Let z(v) = 5*v + 13. What is the remainder when 147 is divided by z(u)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-3) + -1 + 2. Suppose -2*u = a*u. Let p(d) = d**3 + 84. Let g be p(u). What is the highest common factor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/15, -2987 in ascending order.\nAnswer: -2987, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + 6*f + 7. Let d(v) = -2*v**2 + 7*v + 8. Let p(g) = -4*d(g) + 3*o(g). Suppose -k - k - 16 = 0. What are the prime factors of p(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510705 and 19845.\nAnswer: 25024545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-1))\/(1\/(-5)). Let p(s) = 3 + 3*s + 151*s**2 - 4*s - 152*s**2 + 4*s - 2*s. Calculate p(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*m**3 + 23648*m**2 + 312431.\nAnswer: -18*m**2 + 47296*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - 3*z)*(1 - 2 + 2) - 1 - z + 1 + (0 + 1 - 2)*(2*z - z + z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -77172 divided by -19293\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 5*z - 10*z. Suppose a = -z + 77. Find the common denominator of -36\/7 and 574\/48 - (-10)\/a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7924482 divided by -1.\nAnswer: -7924482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10489 is divided by 62.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 740992 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8781, -8784, -8787, -8790, -8793?\n\"Answer: -3*n - 8778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*-1*16\/(-32)*(-18)\/9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127 + -136 - 19\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/15)*d**(-1\/3))**(-8\/11)*d*d*d\/(d*d**(2\/5))*d*d**(1\/15)*(d*d**(-1)\/d)**27 assuming d is positive.\nAnswer: d**(-3959\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-114) + (-54)\/513. Solve -66*r + 59*r - 28 = l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869.407 rounded to zero decimal places?\nAnswer: 2869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94797619 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 3*b)*(-281 + 281 + 166*b + (0*b + 0*b - 2*b)*(0 - 6 + 5) + b - 3 + 3 - 4*b + 3*b - b).\nAnswer: 167*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -67. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2\/11 (b) -1 (c) -5 (d) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7353251, -14706519, -22059787?\n\"Answer: -7353268*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13 + 4*v - 6 - 9*v. Let r be l(-4). Solve -2*x = r + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-824)\/1854)\/(10\/(-6)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1436 and -12\/11.\nAnswer: 15796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/2, -3\/2, -6\/43, 5 in ascending order.\nAnswer: -13\/2, -3\/2, -6\/43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-19)\/h**16 assuming h is positive.\nAnswer: h**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195 + -203 - (1 - -6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*c + 12, -10*m = -4*c - 5*m + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 20330301032?\nAnswer: -20330301102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in -21, -1, -4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -16*s**2 - 45687460*s - 11421864 = 0.\nAnswer: -2855466, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - z + 3*z = -2, -4*z = -2*n + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 z when three letters picked without replacement from {z: 2, g: 4, j: 9, i: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49a80 - -1a?\nAnswer: 49a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.17, 0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)*(f\/(f*f**0))\/f*(f**(-4)*f)**(-46) assuming f is positive.\nAnswer: f**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 + 140. Suppose 0 = -29*f + d*f + 4. Suppose 1389 = f*z + 413. Is z a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1525 = -1525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 - 118*h + 2656. Let z be d(16). Solve -419*o + 415*o + 28 = z for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 1\/105*k**7 + 1\/12*k**6 - 5\/12*k**4 + 0*k + 0 - 4\/3*k**3 + 1\/10*k**5 - 47*k**2. Determine i, given that c(i) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:36 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309 is divided by 268.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:03 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(1 - (-3 - 46)). Calculate the greatest common factor of 20 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 divided by -297059.\nAnswer: 69\/42437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 7*p - 8*p. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*g**2 + 10*g + 3 = 0. Calculate g.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -472*l**2 - 14. Let h(a) = 2*a - 239. Calculate h(n(c)).\nAnswer: -944*c**2 - 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 1781*q = 1777*q - 16, -j + 10 = -2*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*l**2*o**3*v - 4*l**2*o**2 - 28*l**2*o*v + 3*l**2*o + l*o**2*v - 5*l*v wrt o?\nAnswer: 96*l**2*o*v - 8*l**2 + 2*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9290 + -9126. Solve 17*b = 58*b - k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -18*k - 6. Let t be v(3). Does 20 divide (t\/9)\/((-1)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 - 4*i**4 + 6*i**4 + (3 - i**4 - 3)*(3 + 2 + 0) + 4*i**3 - 4*i**3 + 2*i**4 to k*i**2 + v*i**4 + f*i**3 + b + h*i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0 in descending order.\nAnswer: 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.820352ug?\nAnswer: 0.001820352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 2*n = 0. Sort n, -1, 5, 4.\nAnswer: -1, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from utsttsxssssmsm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17205, 34407, 51607, 68805, 86001, 103195, 120387?\n\"Answer: -p**2 + 17205*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.2, -0.2, 0.0081, -0.2415?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 14. Suppose -5*h + 10*h = -l. Let u be (-1)\/h + 4\/(-8). Solve u = -g + 4*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2532 = 124*w + 523 - 595 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 518366326?\nAnswer: 518366320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 555072 (base 8) to base 2\nAnswer: 101101101000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.71 and 3.8.\nAnswer: -2.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3300))\/(sqrt(81)\/sqrt(3)).\nAnswer: 20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -27, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p**(2\/19)\/p)*(p**(-2\/11)\/p)\/p*p)**(-18))**(-44))**50 assuming p is positive.\nAnswer: p**(2041200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 1. Let c be (d - 0)*4\/2. Solve -c - 18 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let m(y) = -1570841*y**2 - 2*y - 2. Determine m(v(z)).\nAnswer: -1570841*z**4 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.635591878 + -97.535634978. Let q = -96.9 - r. Round q to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p + p**2 - 3*p + 0*p + 2*p**2 + 0*p - p**2 - 2*p**2 + 2*p**2 + (4*p**2 - 3*p**2 + 0*p**2)*(0 + 1 + 1) - 1 + 1 - p**2 + 2*p**2 + p - p.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2475\/(-264) - 3\/4) + 360\/36. Let x = 1\/3 + 0. Let r = 8 - 3. Which is the third biggest value? (a) x (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**3*z**4 + 3*r**3*z**2 + 392*r**3*z + 313*r**2*z**5 wrt z?\nAnswer: 96*r**3*z + 18780*r**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3.1, -0.29, 3, 0.5, 8?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggcgcgggcgggggcggggc. Give prob of picking 4 g.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4 + 58. Suppose 3*d + d = 0. Suppose -3*g - 27 = -u - d*u, -u - 2*g = -12. What is the greatest common divisor of u and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*k + 208*k - 178*k = -1500 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -101495, -101411, -101271, -101075?\n\"Answer: 28*p**2 - 101523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(192\/4))\/(2\/44))\/(469\/(-1876)).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10537997731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14972*-0.0406.\nAnswer: 607.8632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*a - 1533 = 35*a + 933 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u - 75 = 23*u - 14*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 284, -68\/11, 4, -0.2, -13, -2\/11, -4?\nAnswer: -68\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-54 - -10) + 46.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23734 and 3.\nAnswer: 71202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2 + 90*q + 1380. What is d(-13)?\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*(sqrt(864) - 2*sqrt(864)))\/(sqrt(48)*-2 + 6*sqrt(3)*2).\nAnswer: -4 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 20. Let z be b(4). Let i be (z + 2)\/(0 + (-3)\/(-6)). Solve r - i*r - 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-29700315.\nAnswer: -148501575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 66. Let p = h + 12. What is the smallest common multiple of (-2)\/(-7) - 9*p\/(-63) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110 greater than 2110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/2*(-2)\/(-3). Let p be -1*(z\/3)\/5. Which is bigger: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58255, 233087, 524471, 932407, 1456895, 2097935?\nAnswer: 2855527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/3)*q)\/(q*q**(-7)))\/(q**(-2)*q**(2\/7)) assuming q is positive.\nAnswer: q**(211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:51 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2023107.\nAnswer: 3, 43, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2030 = -15*s + 20*s. Let d = s + 424. Suppose -3*t + 9 = 0, 2*q - 5 = 3*t + 84. Calculate the remainder when q is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 146?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (sqrt(18) - (sqrt(882) + (sqrt(882)*-1 + sqrt(882) - sqrt(882)))))\/(sqrt(9) + 5*-2*sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -37. Let m = -9.9 + -0.1. Let c = i - m. What is the third smallest value in 6, -5, c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(2\/3))**37*(u**(-1\/4)*u)**(-12)*((u*u**(-1)*u)\/u*u*u)**(10\/17)\/(u**(1\/4)*u)**(2\/75) assuming u is positive.\nAnswer: u**(46313\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 41.03. What is the second smallest value in b, 2, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.4165581 nanoseconds?\nAnswer: 0.0000004165581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144.2 + -144. Let p(a) = a**2 + 9*a + 9. Let b = -8 - -1. Let r be p(b). What is the biggest value in v, r, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8 = -u. List the prime factors of 3\/u + 285\/6.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 386?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 22*p**2 + 3*p + 2. Give v(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 - -735. Suppose 0*g + j = 5*g. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2057 divide 10956527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from xpjjzxxxxfpxepjff.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118080 is divided by 5457.\nAnswer: 3483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 5*l + 5. Let v be g(5). Suppose -v - 19 = -6*x. Find the second derivative of -17*k**x + 6 - 16*k - 13 + 7 wrt k.\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184610117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 380 and 2440?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64*(0 - (-3)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 99, 176, 287, 444?\n\"Answer: 2*a**3 - a**2 + 44*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f**3*h*q - 2*f**3*q**3 - f**2*h*q - 2*f*h*k + 114*h*k*q**2 - h*q**3 - h*q wrt q.\nAnswer: -12*f**3*q + 228*h*k - 6*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1022\/9 + 3092\/27. What is the common denominator of x and -41\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba + -12b2?\nAnswer: -11c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let f(g) = -g**2 + 10*g - 13. Let l(s) = f(s) - 4*z(s). Let c = -19 + 32. Let j be l(c). Solve j = -3*n - 0 + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 8:43 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 13. Let g be m(10). Suppose -2*r = -g*r + 87500. Round r to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 5*q + 3. Let s be n(6). Let y = 5 + s. Suppose -9 - 21 = -6*l. Solve -y*h + l*t = 1, t + 5 = -5*h + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 464 - 251. Does 71 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 6 + 6. Let o(m) = -10*m**2 - 14*m. Let t(p) = -2*p**2 - 3*p. Let s(g) = 3*o(g) - 14*t(g). Give s(u(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5*p. Suppose p*z + 33 = 3*z. Let s = z + -7. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4265*r - 50709 - 365 - 55551 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/12 + f. Let x(i) = -i. Let b(v) = -24*v. Let n(u) = b(u) - 30*x(u). What is s(n(q))?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 14 - 17)*(-s - 2*s - 4*s).\nAnswer: 147*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847) + sqrt(847) + sqrt(847) + (3 + sqrt(847) - sqrt(847)) - 1*sqrt(847)*1)**2 + ((-2 + (sqrt(847) + -1 + -1 - sqrt(847)))*-6)**2.\nAnswer: 132*sqrt(7) + 3973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ney when three letters picked without replacement from nvnybbnbenn.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.04 and 164.\nAnswer: 1154.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111100010101100 + 110?\nAnswer: 10111100010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*d**3*q + d**3*x - d**2*x + 31*d**2 - d*q*x + 2*q wrt d?\nAnswer: 264*q + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 7*v. Let b(j) = -j**2. Let a(x) = 2*x**2 - 5*x - 2. Let k(f) = -a(f) - 3*b(f). What is the units digit of k(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 1. Let x be p(1). Let w(o) = 7*o + 4. Let t(m) = 30*m + 17. Let f(r) = 2*t(r) - 9*w(r). Calculate f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.015 + 0.382. Let o = -0.867 + z. Which is the third smallest value? (a) 0.5 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 0.1, -17, -6, -0.3, -2\/11?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzznn. What is prob of picking 3 n and 1 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196389522*w**2 + 3225131*w - 7?\nAnswer: 392779044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26313 - -7?\nAnswer: 2631a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 237 and 75859197?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 27*o + 2. Let a be g(-9). Solve 2*c - 3*v + 15 = 0, -15 = c - 2*v - a*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152 - -1009. Suppose 0*y + 3*d - k = -2*y, 2*y + d = 1155. Suppose y = 11*o - 2174. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**4 + l**2 + 2*l. Let t(v) = -v - 5. Let f be t(0). Let o(a) = -a**4 - 2*a**2 - 3*a. Let u(y) = f*w(y) - 4*o(y). Factor u(b).\nAnswer: -b*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 89676.17 grams?\nAnswer: 89676170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.403 - -4367.497. What is i rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -14*i + 142. Let d be p(10). Is (d + 35\/(-20))*4604 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 37780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -381.\nAnswer: -381.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41116\/41675 + -2\/25005. What is the common denominator of 86\/(-48) - 9\/(-6) and m?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**4\/4 + c**3 + 3*c**2\/2 - c + 2. Let g be v(4). Put -2, 2, g in descending order.\nAnswer: 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.593 - -0.093. Let g = q + 7. Let w = 2 - 2. Which is the nearest to w? (a) g (b) -2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j + j)*(0*j - j - j) + 29 - 29 - 7*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t. Let j(s) = 116911*s. Calculate j(y(x)).\nAnswer: -2104398*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -14, -3\/5, 0, 57 in decreasing order.\nAnswer: 57, 0, -3\/7, -3\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1769\nAnswer: 353.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilw. Give prob of sequence li.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -5*l - 11*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 16) to base 10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiijjjjiliijssijs. Give prob of sequence ljs.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 14)*4\/10. Let t be 3\/k*(-4)\/(-6). What is the closest to 1\/3 in 5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**1)\/(u\/(u*u\/(u*u*(u*u**(-3))\/u*u))*u))\/(u*u**(-7)*u*u\/(u\/(u*u*(u\/u**(1\/6))\/u*u))*u) assuming u is positive.\nAnswer: u**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27427 is divided by 741.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 2*j. What is h(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 19215?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {r: 2, y: 4, n: 7, e: 1, g: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -22 + 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4401 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3908.68275 rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*v = 23*v + 127 + 131, -v = -5*a + 4*v - 2*v + 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from aaaaaaiaaaaaaaaaaai?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 12*z**2 + 3*z - 25. What are the prime factors of b(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69301 (base 13) in base 8?\nAnswer: -566237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - w, 4*a - 6*a - w - 2 = 0. Suppose -c - 4*c + 15 = a. Let p(t) be the third derivative of -t**4\/24 + 2*t**3\/3 + 50*t**2. What is p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 41 = 121. What is the second derivative of -j**3 - w*j - j**3 + 6*j**3 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 38018115 - 7*z**3 + 38018115 + 2*z**3.\nAnswer: -5*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01454 - -5?\nAnswer: 4.98546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = 100*q - 1510. Suppose -t - 2*t = -21. Calculate the remainder when q is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460.92906 - 0.0261477.\nAnswer: -460.9552077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 3.3. Let z = -3 - i. Let k = 447.4 + -447. Which is the third biggest value? (a) k (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 308, 617, 1030, 1547?\nAnswer: 2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1847808 and 25263.\nAnswer: 12934656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1 - 4*l + 1. Let y = -11 - -13. Let f(r) = 4*r**2 + 2*r**2 - 6*r**2 - y*r**2. What is f(q(s))?\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83897?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1622698097 and 9874.\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 17. Let l(a) = -11*a**2 - 4*a - 21. Let j(k) = 4*k**2 + k + 7. Let y(i) = -8*j(i) - 3*l(i). Calculate y(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17136 - 17141. Sort 156, j, -3 in ascending order.\nAnswer: j, -3, 156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1201 = -5*o + 4*o, -o + 1205 = 2*y. Suppose 2*z - o = 3137. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 + 101. Solve -11 = -5*h + r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0 + 4. Differentiate m + 13*y**2 + 4*y**4 - 13*y**2 with respect to y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 20 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/67095 and -76\/45.\nAnswer: 67095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3502, 4, -5, 1, 0 in ascending order.\nAnswer: -3502, -5, 0, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6731406 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: Simplify 1 + -1*5*sqrt(108)*2*4.\nAnswer: -240*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -5) + (-27 - -34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6101 + -6106 - (2 - (2 + -1 + 64))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03983285185 to three decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*v + 10*v**4 - 49*v)*(105*v + 10 - 83*v - 32*v).\nAnswer: -100*v**5 + 100*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2 + -1)\/((-12)\/48).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + 0. Let p be 11\/((-1)\/2*2). Let z = p + 17. Calculate the greatest common factor of z and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*8\/(-12))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 11:55 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 175454064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -9\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n. Determine q(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 726, 732, 738, 744, 750, 756?\n\"Answer: 6*q + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25 - 25)\/(1*(-2 - 0)). Suppose -4*n = -h + 42, 0 = -h + n - t + 48. Let q = h + -47. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183332 greater than or equal to 549998\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19487240?\nAnswer: 2, 5, 197, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 16538?\nAnswer: 16538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-2*x - 2 + 2) - 3 + 3 - 2*x + (0 + 2 - 4)*(-41 + 3*x - 27 + 25 + (-4 + 7 - 2)*(-x - 1 + 1)).\nAnswer: -8*x + 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 42*c**2 + 25*c + 65. Is x(40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 2}. Give prob of sequence hj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 6*q**2 - 10*q. Let w be h(-4). Suppose -4*x + 2*x + w = 0. Suppose -3*y + 5*y = b - 37, 0 = -x*b - 12. Is -22 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)\/(j*j*j*j\/j**5*j))\/(j**0)**36*((j*j**(2\/5)*j)**(-1))**(8\/9) assuming j is positive.\nAnswer: j**(-254\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 70) + (-16 + (-14 - -17) - -6 - -12)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/3 + 85*f**3\/6 + 4*f**2 - 56*f. Give a(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.4 + -11.4. Suppose 0 = 4*y - 3*q, 0 = -5*y + q - 12 + 1. Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 112*i**2 - 330*i + 13500.\nAnswer: -2*(i - 9)*(i + 15)*(i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 5, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 2 + 0 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50358, 100717, 151076, 201435, 251794?\n\"Answer: 50359*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71680 and 48860?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2 + 4*p - 1\/2*p**2. Suppose -v = -5*h + 3*h, -4*h - 4*v = 0. Determine x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 4, 192, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jumjwwujj. What is prob of picking 1 u and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115497, 5, 4 in increasing order.\nAnswer: 4, 5, 115497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 + -2. Let a = -0.7999895 + u. What is a rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/6 + 5*o. Let x(t) = -147*t - 148*t + 33*t**2 + 295*t. Determine b(x(l)).\nAnswer: -2178*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(204) + (sqrt(204)*1 - sqrt(204)) + sqrt(204)))\/(sqrt(432)*1 + sqrt(12) + sqrt(12)) + -3)**2 + 1.\nAnswer: 6*sqrt(17) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 142 times 8\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 9*x + 5. Let i be u(-9). Suppose 1 = p - i*k + 3*k, p + 2*k = 1. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 + 8*c - 17*c + 9*c + 5*c + 97 in the form n + m*c and give n.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*f + 24 = 0. Let a(h) = h**3 + 2*h**2 - 2. Let d be a(f). Let l = 129 - d. What is l rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 0, 2, 4866 in ascending order.\nAnswer: -1, 0, 2, 4, 4866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/6))\/g*g\/g**(-2\/31))**(-20)\/((g**(6\/11)*g**5)\/(g\/g**(-3)*g*g*g*g**(-3)*g)) assuming g is positive.\nAnswer: g**(-25748\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8902 + -8505.8. Which is smaller: -1\/2 or t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by -48\nAnswer: 155\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3 - -20) + (-104 - -39 - -69)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + (-36)\/(-15))*5\/(-6). What is the nearest to a in -1\/6, 0.2, 1\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**5 - 4*v**5 + 3*v**5)*(-51 + 28 + 46 + (4 - 5 - 2)*(-3 + 3 + 2))*(5 + 0 - 2).\nAnswer: 102*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4123)\/(-190) + -11 + ((-160)\/15 - (-6)\/9)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.62124 + -1.58. Let v = 96.16124 - q. Let o = -96 + v. Round o to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(68) - (6*sqrt(68)*-2)**2)*-1 + 2).\nAnswer: -19588 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-152)\/10*(-40)\/(-16) - -3. What is the remainder when 10 is divided by (-2*(-10)\/g)\/((-1)\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237016 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/560 and 39\/16.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s\/(s**(-5)*s))\/s)\/s**9)**47\/(s**(2\/9)*s**(-4))**20 assuming s is positive.\nAnswer: s**(-589\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 168*u + 140. Let j(z) = -3*z - 1. Calculate 420*j(o) + 3*v(o).\nAnswer: -756*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*(a**(-4)\/a)\/a*a\/a**5*a*(a**(3\/10)*a)\/(a**(-7)*a) assuming a is positive.\nAnswer: a**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14501*n**2*r**3 - 9986*n**2*r**2 - 318*n**2 + 220*n*r**3 + 4*r**3 - 1 wrt r?\nAnswer: -87006*n**2 + 1320*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95570 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12295 is divided by 724?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5296808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63137036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 (base 6) in base 12?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2692700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14248, -5, 0.7?\nAnswer: 14248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1601095\nAnswer: 2\/1601095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4*f**2 + 11 - 5 - 3.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 53. Suppose 3*v = -0*v + 54. What is the remainder when k(0) is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 676096*r**4 + 23*r - 1884 wrt r.\nAnswer: 8113152*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 82*o - 9538. Give b(-65).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323820749 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1 + (-30)\/27). Let s = -7 - m. Suppose -5*o = a - 17, s*a + 3*o - 10 = o. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*t = -36 + 36, r = 4*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 1.3. Let j = -182 - -47. Let r = j + 677\/5. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -89, -101, -113, -125?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -327344860 rounded to the nearest 1000000?\nAnswer: -327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550) + sqrt(550)*2*1 - sqrt(550) - sqrt(550))\/((sqrt(2) - sqrt(10)\/(sqrt(5)*2)) + sqrt(2) - sqrt(8)\/(sqrt(36) + sqrt(4))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 11 + m**4 + 8 - 21 + 3*m**4 to q*m + k*m**2 + h*m**3 + i + u*m**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5528 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.1, -1\/5, 1.59, 0.3 in increasing order.\nAnswer: -10, -1\/5, -0.1, 0.3, 1.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -186 - -340. Let d = c + -153.90005. Let k = d + -0.1. What is k rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:17 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millennium in years?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/6*6\/8. Factor -1\/4*o**3 + 1 - 2*o + h*o**2.\nAnswer: -(o - 2)**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 48. Let i = -3.4 + 3. Which is the closest to 1? (a) n (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 + 12 - b**2 - 12. Suppose -4*j = -3 - 1. Let o be g(j). What is the greatest common divisor of o and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58 or -4\/436679?\nAnswer: -4\/436679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 7*m**6\/40 + m**5\/10 - 7*m**4\/8 - m**3 + 2*m**2 + 18*m. Let d(p) = 0. Calculate p.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 27. Let a be b(-3). Solve a*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**8\/1344 + v**7\/504 - 31*v**4\/24 + 31*v**2. Let p(u) be the second derivative of a(u). Factor p(k).\nAnswer: -5*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmommoommoo?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 25 - -36) + -16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 - 101 = -6*s. What is the remainder when s is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*p + 44890 = -275*p - 11116 for p.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*g + 2)*(4 + 2 - 5) + 5*g - 8*g - 5*g to the form m + l*g and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9722, -20698, -31674, -42650, -53626, -64602?\nAnswer: -75578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3\/5 (c) 0.03 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, -4 in descending order.\nAnswer: -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 38\/4)\/(-25). Let q be 7315\/(-500) + 0 + 2. Let w = q - g. Find the common denominator of -103\/22 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1060\/2109?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4693.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796913226?\nAnswer: 2, 17, 23, 2297843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -439\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21679204, 43358406, 65037608, 86716810, 108396012, 130075214?\n\"Answer: 21679202*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (438*m - 301*m - 519*m)*(-2*m**2 + 6*m**2 + 5*m**2)*(2 + 0 + 1) to w + s*m**3 + p*m**2 + f*m and give s.\nAnswer: -10314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, j: 1, b: 1}. What is prob of sequence qb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -16 + (2 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 - o + 7. Suppose -3*p + 3*m - 6 = 0, -3*p + 5*m = -8*p + 30. Let f be -1 - (-1 + p) - -2. Determine u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1010 and -16\/101.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 - 0.0468?\nAnswer: -2.1468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 10, 0*n = -2*n - 4*l + 14. Solve 2*k + 0 + 17 = -3*d, -n*k - 4*d = 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389037043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 0 - 128\/(-4) - -6?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddd. Give prob of picking 4 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 3*d + 7. Calculate b(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -817*h - 5706*h + 33*h as d + j*h and give j.\nAnswer: -6490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*1\/4)\/(3\/(-36)). Let w(y) = -3*y**2 - 25. Let z(g) = 2*g**2 + 25. Let j(i) = l*w(i) - 5*z(i). What is the derivative of j(v) wrt v?\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 39*t + 38. Determine u(-21).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-28)*1*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372197833*k**2 - 23*k - 1377199.\nAnswer: -744395666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, -4\/205, 5?\nAnswer: -4\/205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49491 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -434376, -434378, -434380?\n\"Answer: -2*f - 434374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 30 = -2*h. Suppose -4*w - w = -h. Sort w, -3, 0.\nAnswer: -3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59080649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = 0, 2*p - 5*p = -4*c + 15. Let g(n) = -91*n. Let m(j) = 2*j. Let b(z) = -2*g(z) - 98*m(z). Let d(q) = -q. Determine p*b(i) + 10*d(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/6)\/((-8)\/(-6)). Solve -5 = 4*f - l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let m = 26006 - 104027\/4. Find the common denominator of -28*(0 + x\/(-36)) and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1110.59 and 15238?\nAnswer: 16348.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -44770 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -b92 (base 15) to base 10\nAnswer: -2612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 10:43 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:55 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/27 - -14\/27. Which is the third smallest value? (a) -2\/15 (b) 9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 134 - 8 = 0. Suppose 0 = -s*j + 14*j + 116. Solve 5*t + j = h, -3*t - 6*h = -3*h + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1726*l + 25869. What is f(-15)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1*132595\/(-69) - 5. Suppose 104*d - 114*d + m = 0. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 86 - -32 - 3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 1, x: 1, i: 2, g: 1, r: 1}. What is prob of sequence ni?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/3)\/((-1)\/6). Suppose 6*t - 5*t = -3*p + 2, 5*t - 5*p - l = 0. Suppose t*u = 3*u - 4. Solve u = n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -357.192 - -357. Let u = o - -5.192. Which is smaller: 9\/2 or u?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 - 661*f - 3894. Calculate a(100).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -71 in ascending order.\nAnswer: -71, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*l*m**2 + 2*i**2*l - 61*i**2*m**2 - i**2*m + 23*l*m wrt m.\nAnswer: 2*i**2*l - 122*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s + 6. Let n be (-344)\/(-3) - 3*s\/18. Let u = n - 104. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 3*f - 1. Let r(i) = -i**2 + 7*i + 4. Let m be r(7). Suppose 0 = q - 5*q - m. Calculate the smallest common multiple of 11 and z(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -18\/5, -227, -1\/5 in descending order.\nAnswer: 1\/3, -1\/5, -18\/5, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 0*t + 3*t)*(5*t - 5 + 2 + 2).\nAnswer: -15*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35215771\/3735 - 47143\/5. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17559189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(((d*d**4)\/d)\/d)*d)*d*d*d**2)**(-18)*d**(2\/83)\/(((d**(-2\/17)\/d*d)\/d)\/(d\/(d\/(d\/(d**(-4)*d))))) assuming d is positive.\nAnswer: d**(-145133\/1411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3*v**2\/2 + 4. Let k(y) be the first derivative of y**3\/3 + 91*y**2\/2 - 639. Calculate s(k(q)).\nAnswer: -3*q**2 - 273*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2924*b + 2923*b - 6. Let i(s) = -5*s**3 - 6*s**2 + 6*s - 6. Let v(r) = -r**2 + r - 1. Calculate b*v(l) + i(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 334, 671, 1010, 1351, 1694, 2039?\n\"Answer: a**2 + 334*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 2*j + 26 = -10*p, j - 12 = -2*p. Solve -s = i - p, -19 = 3*s + 2*i - 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/748)\/(1734\/14739)?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4226606 <= -4226595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-3))*(t**(1\/12)\/t)\/t assuming t is positive.\nAnswer: t**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, -0.4, -5, -1, 23\/5?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 209, 206, 203?\n\"Answer: -3*i + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34730 + -13596. List the prime factors of q.\nAnswer: 2, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 668 and 4843.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1155 (b) -0.9 (c) 1\/5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, a: 3, y: 2, r: 7, e: 1, l: 2}. What is prob of sequence razl?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 12*j**2 + 12*j**2 + 7 + 19*j**2 - 42*j**2 - 2*j to n*j**2 + d*j**3 + c*j + v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93059.\nAnswer: 93059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(1216) + 1 - sqrt(1216))*-5 + (sqrt(1216) + 1)*1)**2 + 0).\nAnswer: -4928 + 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021000 + 13?\nAnswer: 2021013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + n = -57, -4*j + 3*n - n = 94. What are the prime factors of (j\/1)\/(-2) + 1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvww when four letters picked without replacement from {v: 7, w: 9}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 2\/2)\/(9\/63). Solve 6*z - o = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*a = -8, -18*r + 2*a = -14*r - 8. Solve m - 13 + 8 = r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f**3 + 5*f**2 + 149*f + 23. What is l(-6)?\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 + 5*h**3 - 3*h**3 + 3*h. Let v be u(-3). Suppose -3*p - 16 = -7*p + 3*j, 2*p - 4*j = v. Which is smaller: -1\/6 or p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3, -1\/3, -11\/9, -13, -0.2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 3*v + 27. Let o be p(0). Let l = o - 23. Let d(y) = -y**2 - 7*y. Let w be d(-5). Solve -l*k + 2*k = w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1073 and 2109?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(150)\/sqrt(3) + -1 + sqrt(50) + -5 + 0 + sqrt(50).\nAnswer: -6 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 33 + 130 - 29*o - 1349*o**3.\nAnswer: -1349*o**3 - 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 2*h**2 + 6*h**2)*(-625*h**3 - 27*h**2 - 12*h**2 + 624*h**3).\nAnswer: -h**5 - 39*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202226 + -434?\nAnswer: -202663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-44) + (-92)\/(-22). Let l be d\/(-2 + 3\/1). Suppose -2*x + l*x = 8. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -641, -945, -1211, -1433, -1605, -1721, -1775?\nAnswer: -1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -658*j**2. Let h(l) = -10*l - 21*l + 15*l + 17*l. Give h(d(f)).\nAnswer: -658*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29140, -58284, -87438, -116608, -145800?\nAnswer: -175020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/36)\/((-8)\/(192\/100))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2705 (b) -2\/7 (c) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) - 666\/(-15). Suppose d - 9 = 2*o - 3*o, -4*d = -4*o + b. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 10 = -2*c + 2, -5*c - 4*i + 76 = 0. Suppose 0 = -t - 5 + c. Suppose t*n - 160 = 2*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/8 + 1\/(-8) + 53222\/104. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:52 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/((sqrt(48)*-2)\/sqrt(6)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180 + -154. Suppose 5*x = -3*a + 8 - 3, 3*x - 3*a - 3 = 0. Suppose -x = m - 7. Solve -5*z - r + m = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 2, e: 5, j: 1, m: 6}. Give prob of picking 2 u and 1 k.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -109 + a?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 1\/6*g**3 - 1\/24*g**4 - 1\/60*g**5 + 0 - 2*g**2 + 0*g. Let w(t) = 3*t**2 - 3 + 2*t + t**3 + t + 0*t. What is -3*r(a) - w(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59201 is divided by 2114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466024?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95.3 - 92.3. What is the second smallest value in -7, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/23, -1\/7, -4\/5 in decreasing order.\nAnswer: 8\/23, -1\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u - 10. Let o be c(4). Let j(f) = -2 + 8*f - f**2 - 30 + o*f - 1. Let m be j(11). Put -3, m, -6 in descending order.\nAnswer: m, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-5)\/(-20)*154\/(-33)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 0.45. What is the nearest to -2\/9 in 0, g, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/275, -1033, 0.2 in ascending order.\nAnswer: -1033, -2\/275, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8709, 82, 4 in decreasing order.\nAnswer: 8709, 82, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -337.12 to the nearest integer.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1392 by 174.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.0614 and -7?\nAnswer: -7.4298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -11*v**3\/3 - v**2\/2 + 4. Let i = 347 - 346. Determine p(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 4. Let b(t) be the third derivative of t**4\/8 + t**3\/2 + 4*t**2 + 3*t. What is 4*b(o) + 3*g(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590639973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1041 - -3608.855.\nAnswer: 3608.9591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 14374 = -o, -v + 3*v - 4*o - 9592 = 0. Suppose 12*f - 7*f = -y + v, 0 = -y + 2. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - 46*t - 42. What is x(12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1991, 7858, 17647, 31364, 49015, 70606, 96143?\nAnswer: 125632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = -50. Suppose 0 = -s - 0*s + 27. Let w = s - z. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, g: 1, i: 2, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -0.4 in ascending order.\nAnswer: -0.4, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Is -2\/21 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3\/2 + 105*l**2 - 1225*l\/2.\nAnswer: -5*l*(l - 35)*(l - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 191659608 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5. Let t be m + 9 - (4 - 1). Suppose 5*p - t - 11 = 0. Solve -3*y = -5*s + 4, -p*s + 3 = -6*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Let a = -0.07 + 3.47. Let u = a + -0.4. Sort m, -1\/3, u in descending order.\nAnswer: u, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:16 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.190274 rounded to the nearest integer?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-2) - 76500\/1224?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47352 rounded to two dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6030 is divided by 187.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058727 to three dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -9, 611 in decreasing order.\nAnswer: 611, 71, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g**5\/5 - 15*g**4\/4 + 7*g**3 - 9*g**2\/2 - 66. Factor d(b).\nAnswer: 3*b*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**3 + 188*o**2 + 695*o - 549. Calculate k(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4) + -3 + (sqrt(11) + sqrt(11) + (1 + sqrt(539) - sqrt(539)))**2 + -1 + sqrt(1331) + 0 - (4 + -4*(1 + sqrt(44) + -3)**2).\nAnswer: -16*sqrt(11) + 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 2088*h - 75883. Calculate n(37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2\/4 + 165*j - 9075 = 0. Calculate j.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-6*((sqrt(95)*1 - sqrt(95)) + sqrt(95) - sqrt(95)))\/sqrt(80) + 2 + 3*sqrt(171) + 3*(sqrt(171) - sqrt(171)*-3))**2.\nAnswer: 270*sqrt(19) + 38484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 4 - -8) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/6)\/((-160)\/384).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 537 - 538. What are the prime factors of (7\/(35\/(-1835)))\/w?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 + 3)*(3*r - r + 0*r) + 3095 + 5*r - 3095)*(4*r**4 + r**4 - 3*r**4).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 18*b**2 - 12 + b**3 - 20*b - 14 - 3*b. Is t(-19) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 605.72601 nanoseconds?\nAnswer: 0.000000000168257225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 98 (b) 8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 141*d**2 + 12*d - 18487. Calculate g(-142).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105178 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 89*m**2 - 2750910*m + 278181 = 0?\nAnswer: 9\/89, 30909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 2)*3 + 4 + sqrt(875)\/sqrt(7).\nAnswer: 10 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1494 and 311105082.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 1096*b**2 + 64 - b - 1046*b**2 + (-b + 2*b + 2*b)*(-3 - b + 3) + 4*b**2 - 5*b**2 - b**2.\nAnswer: 45*b**2 - b + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.3 at least as big as -918\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8. Let d = 1 + r. What is the closest to 2 in d, 4, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 3*t + 78 - t**3 + 2*t**2 - 79. What is o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) 1\/11 (c) -2 (d) -0.1 (e) -0.004 (f) -0.4 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224824, 446884, 668944, 891004, 1113064?\nAnswer: 1335124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -58 + 1\/1*-3. Let m = 137 - z. What is the greatest common divisor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66a667 (base 14) to base 6\nAnswer: 202415323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 18 = 3*y, -4963*y + 3 = -6*i - 4958*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -19. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -27. Suppose 3*a - 12 = -y*k, -2*k + 0*a = -3*a - 24. Let u(p) = p**2 - 6*p + 8. Give u(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117117 and 14707.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*j + 7*d - 2*d, 3*j + 2*d + 21 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3+8.6\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -674\/409163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Let r(v) be the second derivative of 7*v**2 + 35*v - 1\/6*v**3 + 0. Calculate r(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19483024 is divided by 405894.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o - 3. Let j(k) be the third derivative of -k**6\/120 - k**4\/24 + 2*k**3\/3 - 2*k**2. Let q(t) = -5*c(t) - 4*j(t). What is q(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-10))\/(-6*(-1)\/180). Suppose n = 4*i - 128. What is the greatest common factor of i and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3256)\/74*(-5)\/(-3) + (-85)\/51.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352 is divided by 646?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48884.94 - 50.94. Let i = -48815.9912 + n. Let h = i - 18. What is h rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-4 + -5 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5904 divided by 1968\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 514*c + 1524.\nAnswer: 2*(c + 3)*(c + 254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7)\/(-1 - 15\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + -11 + 4 - (1 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1993, -1991, -1989, -1987?\nAnswer: -1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33823051 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 1 - (-36 + 41)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/9*-3 + 16\/24. Solve -2*h - 5*x + f - 16 = 0, h + 2*x + 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -296 + 454. Let x = -1247\/8 + q. What is the common denominator of -133\/6 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -1\/6*y**6 + 0*y + 6\/5*y**5 - 31 - 3*y**4 + 10\/3*y**3 - 3\/2*y**2. Factor v(z).\nAnswer: -z*(z - 3)*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 414\/30 + -6 + (-2)\/(-10). Suppose -6 = 6*d - n*d. Let y(u) = d - 3 + 40*u - 34*u. Let z(q) = -q**2. What is z(y(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5670 divided by 35?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 + 5*z**4\/24 + z**3\/2 + 5*z**2. Let k be m(5). Let n = 13 - k. What is the greatest common divisor of n and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1648 - 1649. Suppose 47*z - 52*z = 0. Which is the nearest to z? (a) 50 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.920007*-73\nAnswer: 724.160511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169312 is divided by 286.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849779403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a**2 + 12*a**2 + 14*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 15*z - 28 = 0. Suppose -3*t + z*t = 68. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 264417*x - 264457. Calculate i(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-1155))\/(2\/20).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/35 (b) -2 (c) -76 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*k = 2*n + 964*k + 5 + 8, -5*k = 4*n + 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110000101111101 (base 2) to base 14\nAnswer: -9149","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 203102551 (base 6) to base 8.\nAnswer: 15302643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((3553\/17)\/(-19))\/(1 - 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -3, -47, 4 in descending order.\nAnswer: 4, 1\/9, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 0*u**2 + 0*u + 1\/24*u**4 + 1 - 1\/3*u**3 - 1\/60*u**5. Let g(c) be the third derivative of f(c). Determine g(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*u - 8. Let h(l) = u*l - 7*l + 9*l. Let z(d) = -d. Determine z(h(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1185.6 and 0.173?\nAnswer: 1185.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r**2 - 28*r**2 - 30*r**2 - 25*r**2 + 111*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1586 at most as big as -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 12 = 4*n, 333*n - 338*n = 5*l + 65 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 4:54 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18540081 is divided by 24886?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -127.5, 6, 190, -1?\nAnswer: -127.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3 + 406224*p**2 - 11372646*p - 11778872 = 0. Calculate p.\nAnswer: -1, 29, 203084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -889.704998 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24e7 (base 16) in base 11?\nAnswer: 7109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 137.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:14 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q - 121*q**3 - 117*q**3 - 136*q**3 + 388*q**3 as w*q**2 + i*q + a*q**3 + z and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*x - 4*x - 3, -x = -4*w + 12. Let d(n) = -64 + 68 + 7*n - w*n - 3*n. What is the units digit of d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -90*u**2 + u - 1. Let h be f(1). Suppose 62*d - 895 = 67*d. Let p = h - d. List the prime factors of p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2244203 + 12?\nAnswer: -2244141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 0*f**2 + 1 - 2)*(0 - 2 + 4).\nAnswer: -8*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55\/3 - -56\/3. Let b = -0.03 + 0.03. What is the nearest to b in u, 5, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-28)\/24*-4*15\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 1:12 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 265632013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(1\/4)\/n))\/n*n)**(-24\/13)*n**(2\/5)\/n**(-1\/2))**(-38) assuming n is positive.\nAnswer: n**(5757\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 114\/969 - 4\/34. Let m(t) = t**2 - 7*t - 9. Let r be m(9). Let f be 57\/r - (-3)\/(-9). Solve j = f*h - h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -626.9 and -243 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*y**4 + 20*y**4 + 0*y - 2*y**2 - 10*y - 5*y**4 + 11*y - 3*y**5 - 4 wrt y.\nAnswer: -60*y**3 + 816*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8491, 17292, 26093, 34894, 43695?\n\"Answer: 8801*x - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -100 and -57?\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 1 - 15. Let v(m) = m**3 + 8*m**2 + 5. What is the remainder when c is divided by v(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 24 = -3*s, 0 = 3*s - 4*d - 0*d + 3. Let q = 5 - s. Suppose 2 = q*b + 2*a, 7 = 3*b - 5*a - 4. Solve 0 = -3*x + b*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1456, 1422, 1402, 1402, 1428, 1486, 1582?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:26 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6468\/42*((-52)\/(-70))\/13)\/(3\/(-15))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -edcf4 + -1?\nAnswer: -edcf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37482409.973871 - -37772507.1408. Let n = w + -290097. Let h = n + -0.1676. Round h to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2 + -5)*-1. Let l(m) = m**3 - 3*m**2 - 2*m + 3. What is the units digit of l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + 3)**2*5.\nAnswer: 60*sqrt(13) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 112 = w + 5*a, 2*w + 2*a = 112. What is the common denominator of (-96)\/36*2\/w and -74\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 + 0 - (6 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22 and 297716?\nAnswer: 65497.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ypxyxyppiyhpx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 6)*(-2*d**3 + d**4 + d**4 + 13462*d - 12985*d) in the form c*d**4 + g + q*d**3 + j*d + b*d**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4338514 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xru when three letters picked without replacement from axruexau.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = -z - 2*x - x, 4*z = 5*x + 2508. Let a(i) = -249*i. Let s be a(2). Let o = s - z. Round o to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 0 + 4 + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.7 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 1\/10*f**5 + f**3 + 0*f + 8*f**2 + 0 - 1\/4*f**4 - 1\/120*f**6. Let x be j(4). Calculate the highest common factor of 56 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 677, 5025, 16751, 39545, 77097, 133097, 211235, 315201?\n\"Answer: 615*b**3 - b**2 + 46*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87225 and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-5)*((-21)\/18 - -2). Let -2\/3*f**2 + 4\/3 + i*f = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 37, 70, 115, 172?\n\"Answer: 6*b**2 + 3*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 21\/101221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/43)*c*c*c**(13\/3)*c)**(4\/11) assuming c is positive.\nAnswer: c**(3808\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 34 = -4*v, -y + v = y + 21. Let t be 6\/y + 189\/15. Solve 3*g = -3 + t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 10 + 1 - 15 + 82*x**2 + 22.\nAnswer: 82*x**2 + x + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a62 (base 12) to base 7.\nAnswer: -12311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121975746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, w: 3}. Give prob of sequence wz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + 30)\/((-9)\/(-1))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16423138 and 6835?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -601381 by 1.\nAnswer: -601381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j**2 - 31*j**2 + 4*j**3 + 0*j**2.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102331 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3099917 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (0 - 16\/(-1)). Let l = -7 + r. Let b = l - -1. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046240670 to the power of 1\/3, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l = -163*l + 54*l + 703 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + (0 - -4) + -9 + 16\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 2. Let m(l) be the second derivative of -l**4\/4 - 5*l**3\/3 + 5*l**2\/2 + 3*l. Let n(d) be the first derivative of m(d). What is 3*n(g) - 16*q(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232394*g**2 - 58908*g**2 + 132496*g**2.\nAnswer: 305982*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 872252, 872240, 872216, 872174, 872108?\n\"Answer: -s**3 - 5*s + 872258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.6 (b) -5 (c) -3 (d) 34851054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9973.9 and -4.\nAnswer: -9977.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, -15289, 29 in increasing order.\nAnswer: -15289, -5, -0.5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 4 + 2*c**4 - 3*c**3 + 7 - 3*c**4 - 4 to i*c + d + z*c**4 + h*c**2 + w*c**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4) + 41 - (-306 + 299)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9899, -19804, -29715, -39638, -49579, -59544, -69539, -79570?\n\"Answer: -n**3 + 3*n**2 - 9907*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 613*l - 16452. Let t be c(27). Solve t = -28*z + 295 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20583 - -21658.9. What is u rounded to the nearest 10?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083 smaller than 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.0059mg in grams?\nAnswer: 0.3940059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 + p + 2. Let d(b) = -11133*b**2 - 2474*b - 4948. Calculate -d(m) - 2474*r(m).\nAnswer: 1237*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4673 + 4677. Factor -8\/15*d + 0 + 2\/15*d**w + 6\/5*d**2 - 4\/5*d**3.\nAnswer: 2*d*(d - 4)*(d - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 6. Suppose 5*s + 1 = 26. Let q be j(s). Solve -k + 3 = q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21322 + -52?\nAnswer: 21230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 32. Let b be ((2 - s) + -3)*-1. Suppose b*y + 152 = 7*y. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -442.6?\nAnswer: -442.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-546)\/(-52)*4\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-11)\/d)\/((d*d**(-3))\/d))\/(((d*d**0*d*d)\/d)\/d**(-1\/11)) assuming d is positive.\nAnswer: d**(-122\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/15*(-12000)\/3300?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44466 is divided by 102.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120.96 and 5.\nAnswer: 604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(64\/12))\/(15 - 975\/60)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1881033866 to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1681940*j + 3610995.\nAnswer: -1681940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = 14. Let a(d) = 4*d**3 - 8*d**2 + 9*d - 6. Let t(i) = -i**3 + i**2 - i + 1. Let b(x) = -a(x) - 5*t(x). List the prime factors of b(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -222. Calculate the greatest common divisor of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1665776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2 - 4*c**2 + 28*c - 15*c + 16. Determine q(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6350.98 millimeters in kilometers?\nAnswer: 0.00635098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y - 478*y - 6705 = -1505 + 1280 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 657*l**2 - 944*l**2 - 8*l + 599*l**2.\nAnswer: 312*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + (8 - (25 + -39))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 4*j = -5*p + 24, 3*p = 4*j + 55. What is the nearest to -12 in p, -2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10067 - 20109 + 10042 + 50*l**2.\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 2, -0.79?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 288, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + u + 9964 = 2*t, 0 = 2*u. List the prime factors of t.\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663*b = -685*b. Let l = 80 + -35. Suppose z - l = -4*z. Solve 0 = -4*x + x + 3*p - z, 5*p = b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25632 (base 7) in base 16?\nAnswer: 1ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-3 - 2) + 7 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9439 = 4*j, -3*s - j = -2857 - 2803. What is the remainder when s is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 235 - 715. Let v = p - -2581. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3, -4, -13, 3\/16.\nAnswer: -13, -4, -3, 1\/6, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 349487 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/385 and -8\/135?\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-1 - -1) - (-5 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/111, 2, 10, -1, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 958. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 326621 or 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 424*y - 424. Let g be l(1). Which is the nearest to g? (a) -13 (b) -0.1 (c) 9.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8177, -10996, -13815, -16634?\n\"Answer: -2819*g - 5358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*s = 54*s + 9632. Solve -290 = s*k - 32 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/11837 and -69\/2492.\nAnswer: 47348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 5*n**2 - 5*n + 2. Let j be a(3). What is the nearest to 0.1 in -2\/5, j, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, h: 1, n: 2}. What is prob of sequence ghn?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*t - 125, b - 18*t + 14*t - 25 = 0. Calculate the remainder when 221 is divided by b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 1820 + 140*w**3 + 0*w + 1822 to v*w**3 + q + o*w + a*w**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9614 = 16*l + 3134. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d99e - 2?\nAnswer: -d9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2)*5*5 - 3*sqrt(3500)*-1)\/(4*(sqrt(5) - sqrt(10)\/sqrt(2)*-2 - sqrt(5) - sqrt(605)*-2)).\nAnswer: 55*sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 5, 3\/7, -1.8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*n**3 - 87*n**3 - 104*n**3 + (1 - 3 + 1)*(-4*n**3 + 2*n**3 + 3*n**3) to the form l*n + p*n**3 + h + j*n**2 and give p.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 8*t**2 - 5*t - 38. Let y(l) = -4*l - 74. Let x be y(-20). Let k be o(x). Let g = 41 - 29. Calculate the highest common divisor of g and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:04 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-9465 + 2)\/(10\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -85*i. Let s(x) = -x + 469. Determine s(y(f)).\nAnswer: 85*f + 469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 3*u + g, 2*g - g = 5*u + 205. Is 25 a factor of 105\/(-28)*u\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*z + 2*c, 0 = 4*z + c - 8 - 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5837218436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -120 - 2?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1725*i + 1656*i - 3069*i)*(-i + i - 2*i**4).\nAnswer: -624*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -3*w**6\/20 - 11*w**5\/60 + w**4\/3 - 4*w**3\/3 + 39*w**2. Let y(g) = 6*g**3 + 4*g**2 - 3*g + 3. What is -3*t(q) - 8*y(q)?\nAnswer: 6*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10703*v**3 + 21949*v wrt v?\nAnswer: -64218*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37471 - 23958. List the prime factors of s.\nAnswer: 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 8\/3*n**3 - 1 + 0*n**4 + 0*n - 7\/20*n**5 - 6*n**2. What is the derivative of q(j) wrt j?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 35*a + 77. Let z be w(24). Let k = z - 3111\/8. Find h, given that -9\/4*h - 81\/8*h**2 - k = 0.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 2*a + 12. Give j(-10).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(539) - sqrt(539)) + -3 + (2 + sqrt(539) - sqrt(539))*-2 + sqrt(539) + 1 + 0 + sqrt(539) + -1 + sqrt(539) + -2 + 3)**2.\nAnswer: -336*sqrt(11) + 4915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7893 = -3*z, -3330 = -3*x - 2*z + 2591. What is the third derivative of 916*v**6 - x*v**6 - 26*v - 5*v**2 + 954*v**6 wrt v?\nAnswer: -12840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-16) + 10)\/2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 79 = -j - 71 + 63 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1102221?\nAnswer: -1102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (0 - -3) - 3. Let n be (-3)\/(-6)*20\/6. Which is the smallest value? (a) -4\/3 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10912 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 653*k + 3254. Give p(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + -0.06. What is the third biggest value in -5\/4, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77821914, 1, 9 in decreasing order.\nAnswer: 9, 1, -77821914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -928.9 + 929. Which is the second smallest value? (a) 1\/29 (b) -76 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at least -0.2269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 2*s - 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let m be g\/((-27)\/(-20)) + -2. Let x = 1.2 - 1.6. What is the closest to 0 in 5, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3344*n**3 - 252*n**2 - 5*n?\nAnswer: 20064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/9, -0.054, -2, -0.3?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 235*x + 4. Let b(l) = 6*l**2 - 469*l - 10. Determine -2*b(k) - 5*w(k).\nAnswer: -2*k**2 - 237*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26.283275 times -0.5\nAnswer: 13.1416375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 90 + 13 + -42.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r + 4*r - 2*r + (-2 + 3 + 1)*(1 - 1 + 1 + (3 + 0 - 2)*(4 - 2 - 4))*(-17*r - 6*r + r).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 5, 3 in descending order.\nAnswer: 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2. Let z(a) = -11*a**2 - 11*a**2 + 6*a + 16*a**2 + 13*a - 15*a. Give 10*s(m) - 2*z(m).\nAnswer: 2*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189206?\nAnswer: 2, 94603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(34) + sqrt(34) + (sqrt(1666)*1 - sqrt(1666)))\/((sqrt(2) + sqrt(128))*5) + 3.\nAnswer: -2*sqrt(17)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 115417485.4 and 7.8.\nAnswer: 115417493.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 524929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-31944)\/(-649528)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -3*b**5\/5 + 3*b**4\/4 + b**3 - 3*b**2\/2 - 2. What is a in h(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -131659164 and 8253?\nAnswer: 131667417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11713359 and -0.1.\nAnswer: 0.01713359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**4 - 8570*c**3 - 135225*c**2 + 1043280*c - 1681020 = 0.\nAnswer: -1698, -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 834214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 24 = -28*k + 63*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.24, -3\/2, -4\/5, 71?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2421631 - 1.70216388. Let p = m - -0.46. Round p to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 2600964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**13*b**15)**(-41) assuming b is positive.\nAnswer: b**(-1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/3)\/((-20)\/210). Suppose 0 = 4*s - 1708 + f. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -640580.1 to the nearest one hundred.\nAnswer: -640600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5591*a**4 - 1620*a**2 - 10*a + 1543409 wrt a.\nAnswer: -67092*a**2 - 3240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-14)\/(i\/(i\/(i*i**(-36)))*i)*(((i*i**(-33))\/i)\/i)\/(i**(1\/10)\/i) assuming i is positive.\nAnswer: i**(-131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 580 = -5*l, 12 + 326 = 3*i - 5*l. Let w = -44 - -55. Calculate the highest common divisor of w and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77541449 to the power of 1\/2, to the nearest integer?\nAnswer: 8806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 + 162.32. Let u = 1.7597 + o. Round u to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2823, -5642, -8447, -11238?\n\"Answer: 7*h**2 - 2840*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 0. Let x = g - -14. Which is the closest to -1? (a) 0 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 55*z**2 + 166*z + 58. What is m(24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/25)\/((-4)\/(-220)) + 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -528, -538, -548, -558, -568, -578?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14.74 * -233\nAnswer: -3434.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*62*(-6)\/(-12). Let v = m + 221. Round v to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:29 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 431 - -138. What is the remainder when h is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-105)\/4 - -26). Solve -p - 5*h - 13 = -11, -d*p - 4*h = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1241306 + -3056?\nAnswer: 1235220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-200)*-6)\/((-957)\/(-638))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 3:40 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-53) + (-97512)\/(-101336).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y + 3710. Let i = 10791 - 4566. Let s = y + i. Round s to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20269022 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137640 and 419136.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/11)*x*x*x**(-3\/11) assuming x is positive.\nAnswer: x**(17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, -5\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8066 and 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -138*y**2 + 15*y. Let x(s) = -264*s**2 + 30*s. Let n(w) = 5*t(w) - 3*x(w). Factor n(r).\nAnswer: 3*r*(34*r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(5\/1 + -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.08 - 0.08. Let d = -56 + 279\/5. What is the second smallest value in -2\/11, d, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -333*l - 2838. Calculate y(-8).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, i: 8, l: 3, a: 2, x: 1, p: 2}. What is prob of picking 2 p and 1 y?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/544 and 61\/256?\nAnswer: 4352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94a26 (base 15) in base 3?\nAnswer: 212221122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 16*f**2 - 19*f + 21. List the prime factors of r(-16).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 64?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + (11 - (7 - (-21 - -39))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -28*j**2 + 6*j - 16. Let x(b) = 9*b**2 - 2*b + 5. Let v(g) = -5*h(g) - 16*x(g). What is the second derivative of v(f) wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Let t be (-3 - (-16)\/4)\/(2\/8). What is the second derivative of 4*n**4 + t*n - 3*n - 2*n - 6*n**p wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 4646239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/(-30))\/((-1)\/((-15)\/1)). Put d, -1, 2 in ascending order.\nAnswer: -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 9. Let p be h(7). Let u = p - -3. Let k be 50\/3*(-492)\/u. What is k rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 728*g + 0 - 732*g + 1769*g - 321*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -252622*m. Let x(o) = o**2 - o. Calculate x(h(v)).\nAnswer: 63817874884*v**2 + 252622*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2607 - 15737\/6. Calculate the common denominator of a and -83\/1350.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 4*s + 3*s + (-2*s - 2*s + 5*s)*(-1 - 18 + 2) + (3*s - s + 0*s)*(30 - 43 - 111).\nAnswer: -268*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52476 is divided by 26199.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.662049 to 2 decimal places.\nAnswer: -15.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26760815*k**4 + 45760472*k**2?\nAnswer: 642259560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 776\/(-26) + (-57)\/95 + 174*(-7)\/(-2730)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 9 - 4 - 16) + 7 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4290286 divided by -30002\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) -13 (c) -1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5\/3 - 12934*v**4\/9 - 4354*v**3\/9 + 90502*v**2\/9 + 107788*v\/9 + 8624\/3 = 0.\nAnswer: -2, -1, -1\/3, 3, 2156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8\/3)\/j)\/j)\/j**(-15) assuming j is positive.\nAnswer: j**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*f + 3272 - 11904 = 0, 5*x - 2*f - 8628 = 0. Suppose x = -2*c + 6*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (4 + -1))\/(-4 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3, 3 = -2*w - 4*s + 1. Let -126*n**2 + 121*n**2 + 5 - w - 105*n = 0. Calculate n.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 421*b**2 - 6*b.\nAnswer: 421*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/54)\/((77\/42)\/(-11)). Let t(q) = -2*q**2 - 16*q + 21. Let o be t(-9). Which is the third biggest value? (a) o (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Suppose -2*t + m*j = t - 59, 5*j + 90 = 5*t. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 10 - 4*l + 4*l + l - 3*l + 3*l + 2*l - 3*l + (2 + l - 2)*(-4 + 1 + 2) + (-4 - 1 + 6)*(-2 + 2 - 7*l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 11:30 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -3. Let p(w) = -4*w**2 - 2*w - 1. Let t(v) = 11*v**2 + 5*v + 2. Let j(z) = o*p(z) + 3*t(z). Calculate the remainder when j(-6) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 2016?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -128148, -128218, -128304, -128412, -128548?\n\"Answer: -g**3 - 2*g**2 - 57*g - 128088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 245.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 11*u - 6. Let c be l(9). Find the second derivative of -5*j**5 - 4*j - 6*j + c*j wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l + 270. Let o(t) = t + 54. Calculate c(x) + 4*o(x).\nAnswer: -7*x + 486","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/3 + (-12)\/(-18). Suppose a*q + 8 - 83 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -7.116633.\nAnswer: -6.616633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 576?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74981*x - 44 = 74959*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 - -128. Solve -3*n + g*t = -18, 3*n + 13 - 1 = -5*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/36 and (1\/22)\/((-5)\/75).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/(b\/((b**2\/b)\/b)))\/(b*b\/b**(-1)*b*b)**(-13\/7))\/((b\/(((b\/(b*b\/b**(-1\/4)))\/b)\/b)*b)**(1\/48)\/((b\/b**(2\/5))\/b)**(-43)) assuming b is positive.\nAnswer: b**(45643\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m. Let t(g) = 511*g. Determine l(t(w)).\nAnswer: -2044*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -1119\/11?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87 - (-7622159)\/88011) + (-8)\/(-22).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/247 - -7\/19. Let h be (80\/(-108))\/((-54)\/(-81)). What is the biggest value in h, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -24.18. Let l = y - -0.39. Let z = 0.5700081 - l. Round z to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*d**5\/4 + 399*d**4\/4 + 5671*d**3\/4 + 25281*d**2\/4.\nAnswer: d**2*(d + 9)*(3*d + 53)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-90)\/(-60)*10\/3. Find the third derivative of -66*a**2 + 1683*a**4 - 1683*a**4 + 16*a**x wrt a.\nAnswer: 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 478.8 + -479. What is the third biggest value in 3, 53, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 5*p + 2*i - 190, -p + 4*i + 35 = 0. Let m = 166 - p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 12 + 138. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 22 = a, -x = 5*a - 9 - 5. Suppose 4*l - 5*d - 488 = a*l, -d = 4*l - 954. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167455334 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 4*r - 46. Let m be n(-10). Let p = m - 7. Solve -3 = -p*i + 10*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -191 (b) -1\/4 (c) -2 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 5 = 42*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752*j**2 - 97 + 3139*j**2 + 4975*j**2 + 97.\nAnswer: 7362*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781 = 2*w - 605. What is the smallest value in w, 0.06, -2\/5, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -5, -2, 4, 1279 in increasing order.\nAnswer: -5, -2, 0, 3, 4, 1279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 3, p: 1}. What is prob of sequence mmp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**2 - n. Let p be x(-1). Let b(w) = -2*w + 3. What are the prime factors of b(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -2)*-1*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-42)\/(-12))\/7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3721328.\nAnswer: 2, 13, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*m - 5*m - 12*m)*(30 - 7 - 2 + 26) to g + i*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((-363)\/90 + 4). Calculate the remainder when 207 is divided by (6\/(-7))\/((n + 8)\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 905001*y - 904999*y - 32 = 0, -y + 5 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 968*s + 2697 - 1773 + s**3 - 927 to the form c + t*s**3 + z*s + b*s**2 and give z.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -6 - (-15 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/6 bigger than 300832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67175539577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 10:17 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104583 (base 16) to base 8.\nAnswer: 4042603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -407, -878, -1333, -1766, -2171, -2542, -2873, -3158?\n\"Answer: x**3 + 2*x**2 - 484*x + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 3*o**2 - 3*o - 4. Suppose 7*z = 3*z. Let s be (z - 5) + 2\/1. Determine a(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 3*l - 323*j + 327*j, 0 = -j + 7. Calculate the greatest common divisor of l and 5605.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4 - 163*c**5 + 303*c**2 + 11*c**5 + 25*c**2 - 2*c**4 wrt c?\nAnswer: -9120*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/5 - 2*i**3\/5 - 8*i**2\/5 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1039697 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssllsrlr. Give prob of sequence llrr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34551300 and 45?\nAnswer: 103653900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -701, -1342, -2081, -2948, -3973?\nAnswer: -5186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**3 - w**2 - 3. Let j(t) = 13*t**3 - t**2 + 2. Let f(r) = -42*r**3 + 4*r**2 - 5. Let k(x) = 2*f(x) + 7*j(x). Give -6*b(p) - 5*k(p).\nAnswer: p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427 - 11*r + 9*r - 4*r.\nAnswer: -6*r + 427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)\/(sqrt(2) - (sqrt(2) + sqrt(2)*-1)) - (-4*sqrt(19) + 1))*-4 + -1)**2.\nAnswer: -120*sqrt(19) + 7609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 17019?\nAnswer: 38\/17019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31851.\nAnswer: 3, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/520168 and 7\/11822?\nAnswer: 520168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -64?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) 2\/7 (c) -10 (d) -1\/3 (e) 4 (f) -2\/2803\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssppqhd. Give prob of sequence psh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42776 from -0.0056.\nAnswer: 42775.9944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51235176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27414 divided by -8?\nAnswer: 13707\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -97. Suppose -3*p - w = -7*p + 6, -2*p - 2*w = -v. Suppose 5*o - 22 = -n - 3*n, 0 = 5*n - 3*o - 9. Solve 0 = 5*a - 5*u, n*u = -p*a + 2*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 11898?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67696 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**5 - 195*p**4 + 1990*p**3 - 1610*p**2 - 1995*p + 1805 = 0.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 490525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1508, -2018, -2524, -3026?\n\"Answer: 2*b**2 - 516*b - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 23*c - 16 = 0. Suppose -n - 5 - 9 = 4*z, -4*z = 16. Factor 8 - 15*p**2 - c + 4 + 15*p**3 + 5*p**n - 15*p.\nAnswer: 5*(p - 1)*(p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1045.692 + -0.502?\nAnswer: -1046.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 14*m**2 - 14*m - 15. Let c be k(15). Suppose -j + 5*d = 9, c = -d + 2. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 3*z + 4. Let u(s) = -s + 2. Let g be u(3). Let h(t) = 2*t - 3*t**2 - 2*t. Let d be h(g). What is q(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1139*l - 14574 = 15153 + 7860 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**2 + 11*i - 13. Let n be g(1). Suppose n*b - 8*b = 1728. What is the greatest common factor of 48 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 468 = -10*j. Let u(y) = 49*y - 15*y - j*y. Let x(s) = -85*s**2. Calculate x(u(q)).\nAnswer: -340*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3734568 smaller than -3734566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 24*o + 95. Let m be u(-4). Put m, 2, -30 in increasing order.\nAnswer: -30, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149 and 1332556021?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.07513\nAnswer: 0.015026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054848 a multiple of 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 20*i - 16*i - 2976, -739 = -i - 2*v. Is i at most 741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -9.18. Let y = -0.08 + n. Is -5 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlddlsmljjjkj. What is prob of sequence lk?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 521725817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i)**(-49)\/(i*(i**5*i)\/i*i**(-1\/4)))\/(i\/i**(2\/19)*i**(2\/7))**(-31) assuming i is positive.\nAnswer: i**(-35727\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 - 3*m**3 + 2*m**3)*(5*m - 5*m + 9*m) - m**4 - 3*m**4 + 15*m**4 to w*m + k*m**2 + c*m**4 + s*m**3 + z and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-140*u + 95*u + 274*u + 14*u)*(-24 - 26*u + 24) as f*u + l*u**2 + g and give l.\nAnswer: -6318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 63\/(-77) + 1 + (-119)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581007179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.164 and 0.5?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10354846?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 3. Let g be b(5). Suppose -4*j = -3*z + 14, -g*z + 3*j - 6*j = 19. Let p(v) = -2*v - 2. Let f be p(z). Solve 5*c - 22 = -f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8217681 less than or equal to 8217681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*w**6 + 51*w**2 wrt w?\nAnswer: 4800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 854 - -642. Is q\/32 - 6\/8 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d**2 - 8*d + 6. Let t be h(5). Let l(p) = 2*p**2 - 38*p + 26. Let o be l(15). Let x = t + o. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-574)\/(-36) + (-52675)\/3010?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 + -103103300?\nAnswer: -103110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 109\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 23 = 2*f + 19*c, -3*f + 5*c = 28 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-1116) - (-161)\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - f**2 - 134*f**2 + 61*f**2 - 175*f**2 to g*f + d*f**2 + i and give d.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 - 92. Let q = -0.8 - -1. What is the third smallest value in 0, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.17 - -2.67. Let m be (-12)\/(-3)*(-5)\/230. What is the smallest value in -1\/4, -5, m, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 155709 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.1 + -0.9. Let o = -1586.5 - -1290. Let p = 297 + o. Sort -0.2, s, p in decreasing order.\nAnswer: p, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7\/(c\/(c**3*c*c)))**(-1\/4) assuming c is positive.\nAnswer: c**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47, 76, 63, -10, -161, -408?\n\"Answer: -3*z**3 - 3*z**2 + 59*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2330 - 465?\nAnswer: -3125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4867 - -0.1?\nAnswer: -12.3867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4715.986 milligrams?\nAnswer: 4715986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 25*g - 14. Give n(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 77 + 19 = -4*b, -44 = -4*b + 4*u. Solve -3*n + b = 20*k - 24*k, n - 2*k - 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 88*o + 261. Let t be u(-3). Let x(l) = 2*l**3 + 3*l**2 + 5*l + 1. Let c(y) = y**3 + y**2 + y - 1. Give t*c(f) + x(f).\nAnswer: -f**3 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -4 - 6\/((-48)\/8471960). What is x rounded to the nearest ten thousand?\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -170, -245, -360, -521, -734, -1005, -1340?\n\"Answer: -h**3 - 14*h**2 - 26*h - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1138\/1707*-3*1\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 + 9 = 0. Factor m**5 - 29 + o - 4*m + 17*m**2 + m**3 - 4*m**4 - 7*m**2.\nAnswer: (m - 2)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/16)\/a)\/a**2 assuming a is positive.\nAnswer: a**(-47\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0262 + -3069.41994.\nAnswer: -3069.44614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -318.4 + 318. What is the third smallest value in 2\/7, l, 1, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1*y*y*(y*y**(4\/5))\/y assuming y is positive.\nAnswer: y**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 5 (c) 6 (d) -0.08 (e) -9\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/6*384\/(-8791200)*-15?\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b)\/b**13 assuming b is positive.\nAnswer: b**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64374830 divided by 5.\nAnswer: -12874966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/1078463 or 1?\nAnswer: 27\/1078463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -1 - (7 + 8\/(-2)). Let r be (-1)\/(-2)*4 - -16. What is the tens digit of -3*((-1)\/a)\/(r\/(-732))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 5*y + 9*y + 2)*(3*y - 2*y**3 - 3*y).\nAnswer: -2*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 divided by -276?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16101930 from 4426.\nAnswer: -16097504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 - 266. Let g = m - -131. Let r = g - 42.65. What is r rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 56. Let v(r) = -5*r**3 - r**2. Let s be v(j). Let z = s - -7. Which is smaller: z or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 27783*b**5 + 1313592*b**4 + 366114*b**3 - 3132*b**2 - 8049*b - 564 = 0?\nAnswer: -47, -1\/7, 4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 11*g + 50 = -4*d, -2*g - 2*d = 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1986 - -30836255961.\nAnswer: 30836255960.8014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/172 and -64\/9?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbm when three letters picked without replacement from mxbbmmmbx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 49. Let j(m) = -q*m - m - 21 + 9 + 16. Calculate the least common multiple of j(-6) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4\/5 + 8379*l**3\/5 + 41781*l**2\/5 - 108711*l\/5 + 58548\/5 = 0.\nAnswer: -2788, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -455.46469 rounded to zero dps?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/((-24)\/(-56)*3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -236 + 74. Suppose b - 13 = -4*a. List the prime factors of 9\/(-9) - a*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, f: 6}. What is prob of sequence wffw?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-6)\/27 + (-656)\/(-36))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1018*i**2 + 1018*i**2 - 26*i**3.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1290*v**5*w - 370*v**4*w + 10*v**2*w - 57*v**2 + 2*v*w + 79*w wrt v?\nAnswer: 77400*v**2*w - 8880*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7169130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2213877 divided by -439\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/((q\/(q\/(q*q*q**(-2\/35))))\/q))*q**(-1\/14))\/(q**(-2)\/(q\/(q\/(q\/(((q**(-6)*q)\/q)\/q)))*q)))**7)**17 assuming q is positive.\nAnswer: q**(15317\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = -3*m, -3*v - 3*m = -8*v + 9. Suppose -f - 4*f + 255 = v. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (3 + (1 - 9)). Let b be 6\/(-3) + w + 3. Solve -3*p + b*p + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3*x**2 - 16 + 8.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -835496, -835498, -835500?\nAnswer: -835502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - i + i)*(-2 - 2*i**3 + 2) + 4*i - i**2 + i**4 - 4*i to the form r*i**2 + f + m*i**3 + c*i**4 + y*i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1226*((-24490)\/(-4))\/(-5). Let s = j - -3501229. Suppose -5*v - s = -4*i - 0*i, -5*i = 10. What is v rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/3 - ((-64)\/(-24) + -7). Let d(g) = 228*g - 65. What is the units digit of d(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 114 = 31*t. Suppose 8*q = 6*q + t. Let h(m) = 4*m + q*m**3 + 3 + 0*m**2 - 8*m**3 + 4*m**2 - 12*m**3. Give h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/17)*z)\/z)\/(z*z**(1\/34)) assuming z is positive.\nAnswer: z**(-29\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1 - ((4 - 2) + -2)). Solve -15*p + 10*p + 15 = a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*(-4)\/(-10))\/((-80)\/(-1400)). Let j be 4\/f*7\/8. Factor 0 - 3\/4*b**4 + j*b**5 + 0*b - 1\/4*b**2 + 3\/4*b**3.\nAnswer: b**2*(b - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:14 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*p - 325, -p - 3*q + 66 = -18. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + b9?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(28) + -3 + (sqrt(7) + 1)**2*4.\nAnswer: 29 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 46*m**2 + 1025*m + 288. Give k(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:20 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.383295ng?\nAnswer: 0.000000007383295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-7 - -3)\/2). Sort -0.1, 1, q in descending order.\nAnswer: 1, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 68*x + 168 = 0. Calculate the remainder when (-3)\/(-42)*x - 19197\/(-63) is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z + 14 = 0. Is (-128)\/z + (-2)\/7 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 17 = -3*j. Which is greater: -2\/161 or j?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78802, 78826, 78854, 78886, 78922?\n\"Answer: 2*k**2 + 18*k + 78782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2285967 (base 11) to base 4\nAnswer: 33032022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25221805.\nAnswer: 5, 7, 163, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 2*i)*(-125 + 168 - 1894)*(2 - 1 + 1).\nAnswer: 7404*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 53*u**2 + 66*u - 14. What is the units digit of v(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 4)*(2728*i**2 - 510*i**2 - 1052*i**2).\nAnswer: 8162*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504494.06 + -267.1.\nAnswer: -504761.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 528 + -535. Let k(s) = s**3 + 7*s**2 + 2. Let u be k(m). Solve -3*g = g - 2*x + 16, 4*g = -u*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 87. Let r be (-148)\/(-156)*h - -3. Sort -7\/3, -1, r in decreasing order.\nAnswer: r, -1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/20 - t**4\/3 + 2*t**3\/3 - 17*t. Calculate c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17200 and 2461750?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.58, 5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-11*w**2 + 16*w**2 + 8*w**2).\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1966.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u - 59. Determine f(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155475 or -155483?\nAnswer: -155483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 110? (a) -5 (b) -1\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42601, -42606, -42611, -42616, -42621, -42626?\nAnswer: -42631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 1*sqrt(84))*2)\/(sqrt(12) - (sqrt(12)*1 + sqrt(12) + sqrt(12))*-3) - (-3*sqrt(336))\/(sqrt(6)\/sqrt(2)*-1).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 9:50 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205037 and 260253?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24302796 to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14234 (base 15) to base 4\nAnswer: 33301300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.9 - 4. Let s = -1998 - -2001. Sort c, -2\/13, -1\/4, s in ascending order.\nAnswer: -1\/4, -2\/13, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.6. Which is the biggest value? (a) 2.6 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205\/354 + 44\/59. What is the nearest to 89 in s, -5\/4, -0.4, 2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*t + 15825 = 0, -2*t - 13531 - 10235 = -3*j. What is the highest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1601.8 (b) -2\/11 (c) 14 (d) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 19 = -2. Suppose -9*a + 30 = -4*a. Suppose -7 = -2*w + 2*n + 3*n, 3*w - a = o*n. Calculate the least common multiple of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10 - (6 + 264\/(-30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2271*t + 149. Let a(g) = -1127*g + 74. Let i(n) = 5*a(n) - 2*h(n). Differentiate i(u) with respect to u.\nAnswer: -1093","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 375*a**2 - 214488*a - 6870. Give y(572).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -0.0125?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49444441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 25, -74, 5 in decreasing order.\nAnswer: 25, 8, 5, 0, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10194300 to the nearest one hundred thousand.\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8504318 is divided by 3507?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61.6 in 9\/5, 3\/59, 1?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 5*t**2 - 10*t + 5. Let z be h(7). Suppose -4*b = -32 - 48. Let p = z - b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 38, 84, 180, 344?\n\"Answer: 3*j**3 - 2*j**2 - j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = -4*m + 10*m. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 2895*b**2 + 53755*b + 1199055.\nAnswer: 5*(b - 559)*(b - 33)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*f**3 - 13*f**3 + 25*f**3 + (f + 0*f + f)*(2*f - 2*f**2 - 2*f) + 49*f**3 - 45*f**3 - 51*f**3 - f**3 + 4*f**3 - f**3.\nAnswer: -72*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 9*x + 4. Let n(o) = 3*o**2 - 17*o + 22. Let t be n(x). Solve -4*s = -4*f + 8, -t*f - 6 + 1 = -5*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 563501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*1\/(-3))\/(2\/(-29)*29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-851*m + 312*m + 99*m)*(-m + 5*m - 2*m) + 0*m**2 - 3*m**2 - 2*m**2.\nAnswer: -885*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i - 47440 = -84*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43600 + 21778 + 21822 + 28*d**3.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -820\/17 - -17743\/340. Let o = 241\/2610 - -2\/261. Find the common denominator of l and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(1053))*4*2 + -3)**2.\nAnswer: 16704*sqrt(13) + 1079113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30851*d + 659*d**2 + 30851*d to m*d + b*d**2 + u and give b.\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3840 + -2058. Suppose 0 = 4*g - 2*j - n - 1108, -705 = -g + 4*j. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r. Let l(c) = 5*c**2 + c + 3. Let a(z) = -26*z**2 - 8*z - 16. Let f(t) = 3*a(t) + 16*l(t). Determine m(f(s)).\nAnswer: -30*s**2 + 120*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -5. Let m = 17 - 16.7. Which is the closest to 1\/3? (a) m (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 76*s + 7. Let x(h) = -h + 1. Let l(i) = q(i) - 4*x(i). Let t be l(-1). Let k = t + 145. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.142*-292076\nAnswer: 41474.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/58 and -5\/232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-51.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(114)*1 + sqrt(114) + (sqrt(114)*-2 - sqrt(114))*-6)\/(sqrt(294) - (sqrt(294)*-1*-5 - sqrt(294))).\nAnswer: -16*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/27 - (2 + 8\/(-1) + 12)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j + j**2)*(j**2 - 1851*j + 0*j**2 + 1696*j).\nAnswer: j**4 - 155*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545 = 85*z + 245*z - 21*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 + 0.29. Let o = 0.00000115 + g. What is o rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -112 (b) 0.4 (c) -2 (d) 0.1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14850693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.21769 milligrams to micrograms.\nAnswer: 58217.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from gmfgfggmfgfmrgmfmfea.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1870061*h + 4. Let l(s) = 1. Let a(t) = 3*l(t) - p(t). Let c be a(1). Suppose 4*v = -8529940 - c. What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2596 (base 14) in base 2?\nAnswer: -1100111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/8 of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 516369309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-3)\/(9\/24). Let m(n) = n**2 - 4*n - 5. Calculate m(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 3*m**3 - 2*m**2 + 2*m**3 + 0*m**2 as s + z*m**2 + c*m**3 + n*m and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*y + 45. Let f be (y\/(-2))\/((-9)\/18). Suppose 2*s + 2 + 3 = -5*g, 3*g = -f. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 - g**2 + 2*g. Let y be x(-3). Suppose -5*d = 2*m - 77 + 19, 0 = -4*d - 24. What is the greatest common divisor of m and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 8*u - 12. Let v be w(10). Let j(y) = -10*y + 8. Let h(z) be the third derivative of -z**4\/24 + z**3\/6 + 5*z**2. Give v*h(l) - j(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 2 = -3*k. Suppose -5*s = -s - k. Suppose -65 = -s*z - 0*z. Calculate the remainder when 38 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-266)\/(-95))\/(-1*2)*(-144)\/288.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 19*l**2 + 7*l. Let v be (-2)\/(-9 - -11)*2. Let k(x) be the first derivative of 2*x**3 + x**2 - 1. Give v*j(m) + 7*k(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6138 to 2 dps.\nAnswer: 3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 25566*j**2 + 25150*j - 416 = 0. Calculate j.\nAnswer: -1, 208\/12783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and -203206.7.\nAnswer: 5080167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65237, -3\/8, 13 in descending order.\nAnswer: 65237, 13, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k - 6. Let w be p(-6). Suppose -z - z + w = 0. Let a = z - 1. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f, 4*f + 16 = n - 0*n. Suppose -22 = -5*b + n. What is the second derivative of 26*y**2 + b*y**2 - 9*y - 9*y**2 wrt y?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -120 (b) -3\/4 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) - 2 - -3. Suppose -23 = -r - w*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {m: 5, p: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-6 + (-8 - -23) + -10 + -8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3854228\/11 equal to -350384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37039 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose 113 = 5*l - 3*s - 0*s, 25 = l - g*s. Suppose d - l = -d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 69 = 1307. Let c be (-8)\/(u\/(-284)) - -7. Calculate the greatest common divisor of 52 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35776*y**4*z**2 - 10*y**4*z + 3435938*z**2 wrt y.\nAnswer: -143104*y**3*z**2 - 40*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (8\/(-16))\/((-13)\/(-13) - 29877\/29876)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21058?\nAnswer: 2, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 0. Is 14 a factor of n\/(-4)*(-20)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-24) + (-275)\/100\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 + -0.07. What is the biggest value in -3, -3\/5, 1.2, d?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18 + 12 + 6*n**2 - 30. Let w(x) = -7*x. What is w(s(r))?\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*u**3 + 86\/11*u - 24\/11*u**2 - 60\/11.\nAnswer: -2*(u - 2)*(u - 1)*(u + 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 45 - 22 + c**3 + 4*c - 7*c**2 + 0. Let t be h(6). Suppose -355 = t*v - 16*v. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -20. Suppose p = y - 1. Find the third derivative of 8*o**6 + 6*o**y + 4*o**5 - 4*o**5 + o**2 wrt o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 117, 5 in ascending order.\nAnswer: 1, 4, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521154 is divided by 161?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*i*y**2 + 29*b*i*y + 87326*b*y**3 + 2*b*y - 647*i*y**3 with respect to i.\nAnswer: -2*b*y**2 + 29*b*y - 647*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11122*u + 168 = -11150*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/7 - 1446*o**3\/7 - 1072440*o**2\/7 = 0.\nAnswer: -540, 0, 1986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - h - 4*h + 2792 = 0, -5*h = 5*k + 4600. Let r = 4664\/5 + k. Let -2*z**5 + 0 - 16\/5*z**2 - r*z**4 + 0*z - 56\/5*z**3 = 0. Calculate z.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - -3) - (8 - (2 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/24 - (-56)\/6. Suppose 0 = o + 4*k + 12, 5*k = -2*o - c - 14. Let g = o + 15. Solve 8 = -b + g*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -178. Let i = 150 + z. Suppose -4*a + 5*a - 3*s = 140, -144 = -a + 2*s. What is the greatest common divisor of i and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 3*j**3 + 0*j**3 - 4*j**5)*(-1 - 1 + 1).\nAnswer: 4*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l**(-2\/7)\/l))\/l))**(-1\/25)*(l**(-2\/5))**(14\/9) assuming l is positive.\nAnswer: l**(-962\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 42649*u + 469018.\nAnswer: (u + 11)*(u + 42638)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 3*p**2 - 4*p + 3. Let c be a(-4). Suppose -80 = -z - c*z. Suppose -24*y + z*y = -16. Solve 0*j = -4*j - y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 3*w**2 - 2*w - 3. Let i be o(-1). Solve 4*a + 2 = -2*d + i*d, -2*d + 2*a = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + 3c?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1398*j - 503. Is v(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 2, k: 1, b: 2}. What is prob of sequence ab?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = -12. Let b be d\/3 + 2 - -4. Let j(i) = i - 2. Let m be j(5). Solve -m*c - 4 = b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 161, -1, -3, 5, 660 in decreasing order.\nAnswer: 660, 161, 5, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7 + 14*o - o**3 + 0*o**2 + 17*o - 21*o - 9*o**2. Let a be 6\/21 + 72\/(-7). Give h(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -28*p + 5. Let y(w) = -w + 1. Give -f(h) + 6*y(h).\nAnswer: 22*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 956*y**4 + 8*y**3 - 5*y**2. Let z be a(-17). Round z to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*i - 116, 4*v - i - 4*i = 98. Does 41 divide (-142)\/(-1) + (22 - v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 87 + 14*v**2 - 266 + 86 + 93.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*w + 140845263 - 140845263.\nAnswer: -107*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6815, -6805, -6793, -6779, -6763, -6745?\n\"Answer: x**2 + 7*x - 6823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-4 - -1) - 75. Let w be ((-8)\/6)\/(18\/f) + 2. What is the greatest common divisor of 68 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 84a07 + 4?\nAnswer: 84a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, m: 6, r: 9}. What is prob of sequence km?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 473521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Suppose -r = w*r - 64. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + o + 37 = 0, 2*o + 3 = 9. Let i be (-5)\/(-3) + j\/12. Is 47 - -33 - i\/(1\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828757526?\nAnswer: 2, 163, 2542201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 smaller than -273696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2112321569 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.5, 3\/47, -214.6596?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 100*j - 420. Give y(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55377 is divided by 7152.\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*i - 14, -2*h + 7*h + 4*i - 30 = 0. Factor -25*f - 10 - 19*f**2 + 10*f**3 + 3*f**h + 11*f**2.\nAnswer: 5*(f - 2)*(f + 1)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3, 0.3, 3328?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 301414*j. Let p(i) = -5*i**2. Determine x(p(h)).\nAnswer: -1507070*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 3 + sqrt(44) + -1)**2 - 3*(sqrt(176) - (0 + sqrt(176))**2).\nAnswer: 4*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2757 - 40768?\nAnswer: -43636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, s: 2, p: 2, n: 1, g: 1}. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plc when three letters picked without replacement from dpqcqqcqcqcdddqdlqqq?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.74 + 0.8. Let q = -0.059995 + w. Round q to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115, 54, -33, -158, -333, -570, -881, -1278?\n\"Answer: -2*y**3 - y**2 - 44*y + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*i + i. Suppose -3*r + 2*o = -19, -3*o + 4 = 3*r - r. Let y = r - i. Solve 5*b - 5*s + 15 = 0, 0 = -5*b + y*b - 3*s + 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 1 - (-86 - (-45 + -44)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + -173. Suppose -18 - 59 = -3*k + 4*z, r*z + 73 = 3*k. Solve -34*w + k*w = -15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 33*n + 4. Determine s(15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 14. Let y = -7 - t. Let v = -4 + y. What is the second biggest value in v, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029627.\nAnswer: 229, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/3085931 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrryrryrrrggyrrgr. Give prob of sequence rg.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 7*b**2 + 22*b - 21. Let r be f(9). What is the greatest common divisor of r and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/11 - 92*q**3\/11 + 62*q**2 - 1084*q\/11 + 45 = 0 for q.\nAnswer: -99, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165 + 144. Sort -1, d, -1\/4 in increasing order.\nAnswer: d, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhhhhhhgh. What is prob of picking 1 g and 3 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) + (2310\/20)\/11. Suppose -4*d = d + l, -d - 79 = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 418 and 314512?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 643846*-475.\nAnswer: -305826850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c280e (base 15) to base 2.\nAnswer: -10010110011010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.1, 0.14444?\nAnswer: 0.14444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 196. Let x = v + 153. Solve -l - 4 + 1 = x*w, 3*l = -3*w + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 288 + -1167\/4. Calculate the common denominator of -95\/18 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 563537 - 88668. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 480 = 0. Is k a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -548 and 59\/47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1251 and 140112.\nAnswer: 140112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 2618.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-12\/11)*j)\/((j**(10\/11)*j)\/j)*(j*j**(1\/4)*j)**(-2\/15))**(-4) assuming j is positive.\nAnswer: j**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4043 or -4045?\nAnswer: -4043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 41, 56, 0 in increasing order.\nAnswer: -3, 0, 1, 41, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 7*o + 7. Let x be y(7). Find the second derivative of 19*t + x*t**3 - 22*t + 5*t**3 - 23*t wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181890 divided by 94?\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 172.5.\nAnswer: -34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 10:15 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n - 4 = 0. Let m = n + 66. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/7 and -39\/3628.\nAnswer: 25396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-30) + 7\/35 + 0 - 9?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -3\/5 (c) 4 (d) 122.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*p - 16, 123*h - 118*h - 26 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14 - (-7104)\/(-56))*-7. What is the greatest common divisor of 30 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 + 4*x - 2. Let b(g) = 138*g**2 + 3*g - 6. Calculate b(k) - 3*v(k).\nAnswer: 126*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*b - 3*d, -4*b + 1 = 5*d + 17. Find the second derivative of 1 - b - p + 3*p**5 wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478 + 954 - 476 - 4*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -519 - -556. Solve -8 = -g + 2*v - 5, 5*g + 3*v = -a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**2\/2 + 3. Let j(n) be the third derivative of n**5\/60 - 7*n**4\/8 - 89*n**2. Calculate v(j(u)).\nAnswer: -u**2 + 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/9 + 31742424\/1728 + 2\/(-16) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a. Let x(q) = -148*q**2 - 3004. Determine x(l(j)).\nAnswer: -592*j**2 - 3004","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s. Let p(w) = 42 - 19 - 23 - 3*w. Determine f(p(l)).\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 276.9 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804*x**2 - 6*x**3 - 4*x**3 + 1804*x**2.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = -316. Suppose 3*s - d = 56. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 7 - 9 + 64*g**2 + 2*g**4 + 15 - 3*g**4 + 24*g**2 to o*g + m*g**2 + p*g**3 + z + f*g**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6*r - 4. Let n be i(-6). Let d = 23 - 16. Let o = n + d. Calculate the highest common divisor of 33 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3894168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10663*c - 5*o = 10662*c + 72, 5*c - 5*o = 300 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1611, -1307, -809, -123, 745, 1789, 3003, 4381?\nAnswer: 5917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (9 - -3 - (-19 - 0 - (350 - 226)))\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11361312 divided by 4596?\nAnswer: -2472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 16615390.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 732 = 5*l, -4*r - 13*l = -8*l - 976. Let j = 272 - r. Calculate the remainder when 77 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -20\/127 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 31161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 148, -3, -38, -11.\nAnswer: -38, -11, -3, 1, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460248 by 340.\nAnswer: 115062\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-21)\/(-10))\/((-108)\/(-15)). Suppose 6*n + 7*n + 0*n = 0. Is k bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i + 5*d - 8, 5*i + d - 112 = 0. Let f = 22 - i. Let z be (10 - 7)*f\/15. What is the second biggest value in 0.3, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2269 + 2245 - (9 + -6 + 71)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531*v + 971 = -507*v - 373. What is the highest common factor of 9338 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.0379 + -0.0379. Let g = -2.8 - 0.2. Which is the fourth smallest value? (a) 0.1 (b) t (c) -0.2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppikdkkdgdidpgipbki. Give prob of sequence gd.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*o - 880 + 3974. Do o and 361\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340003320 (base 5) in base 16?\nAnswer: -5242ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let q(m) = -7*m. Let u(f) = 4*f. Suppose -10 = -5*t, 4*b + 0*t = -3*t + 26. Let y(h) = b*u(h) + 3*q(h). Give y(a(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.927169 to 3 dps.\nAnswer: 1.927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/8 - 6*q**2. Let n(r) = 5*r - 6. Let v(i) = -i + 1. Let d(c) = -n(c) - 6*v(c). Determine d(u(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m**2 - 5*m**2 + m**2)*(-2*m + 2*m - m**2) - m**4 + 4*m**4 - 2*m**4)*(m - 2 - m + 2*m).\nAnswer: 4*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-131\nAnswer: 39.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 790\/1729 - 7\/247. Let p = -3.98 + -0.02. Which is the second biggest value? (a) 1 (b) m (c) -9 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8686?\nAnswer: 2, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*x - 157 - 26 - 33 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 684794241.\nAnswer: 684794239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 + -8.6. Let i = -4.3 - u. Put i, 2, -0.1, 0.4 in decreasing order.\nAnswer: 2, 0.4, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.065337 + -74.096663. Let m = n - -74. Round m to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -11*t + 30450. Find the second derivative of -118*c - 76*c + t - 2030 + 68*c**3 wrt c.\nAnswer: 408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 4527108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 6*h**3 - 31*h**2 - 25*h**2 - 7*h**3 + 55*h**2 + 2*h**4 to y*h**4 + o*h**3 + p + u*h + m*h**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2621262 (base 8) in base 16?\nAnswer: -b22b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**3 - k**2 + k - 1. Let f be w(1). Let o(q) = -6*q - 40. Let l be o(f). Solve n + 16 = 3*g - 4*n, l*g + n = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/48 and (1\/9)\/(1491\/(-3654)).\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*d**3 - 2*d - 177*d**3 - 1 + d - 3*d**2 in the form l*d**3 + o*d + r + p*d**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3968 and 85746?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v - 27 + 27.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 1\/3*s**4 - 20\/3*s**3 - 98*s + 0 + 48*s**2. Let i(g) = 0. Calculate g.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.15323 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 412960 and 160560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**2 + 1673046*t - 233256909843 = 0.\nAnswer: 278841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.3, -1\/8, -0.2, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 17. Let c be t(-6). Let o(g) = -3*g + 1. Let f(l) = 5*l. Let p(a) = 25*a + 1. Let i(r) = -11*f(r) + 2*p(r). Give c*o(k) - 4*i(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8 and (2 - (-5)\/2)\/(4540\/200 + -5)?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(675\/60))\/((-888)\/(-37))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137147315 divided by 3?\nAnswer: 379049105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 89. Let b = -24 - s. Determine m, given that 4\/9*m + 0 + 2\/3*m**b + 2\/9*m**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622*z**3 - 296*z**3 - 18 - 60*z**3 + 16 + 71*z**3.\nAnswer: 337*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:36 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-180) - (-64)\/(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l - 3*r = -6, 0 = 3*r - 3. Suppose 29 = l*a + 5. Suppose a = p - 4. 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 factor of 470 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.067928 decades?\nAnswer: 0.06067928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.656 + 2.871. What is r rounded to 1 decimal place?\nAnswer: 14.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187653 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36876 is divided by 9214?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2765)\/(-1027) + (-8)\/(-26). Solve 5*f + 9 = 4*g + 12, -w*f + 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.94845456 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722606057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*sqrt(352)\/(sqrt(32)\/(sqrt(4)*2 - sqrt(4)) + sqrt(8)).\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 j when three letters picked without replacement from jjjsjjcjjjjzc.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/60 - d**4\/24 + 2*d**3\/3 - d**2. Let r(h) = h**2 + 3*h + 3. Let v be r(-2). Suppose v = -2*p - 5. Give f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 51 = 3*g, -4*g + 76 = 5*q - 12. Let v(j) = q - 9*j - 12*j - 5 - 14*j. What is the units digit of v(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 9*i + 5. What is q(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 553.465nm?\nAnswer: 0.0000553465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33423577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/103 + -185\/721. Let h = 1.9 - 2.3. Sort -10, h, x in descending order.\nAnswer: x, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -29*t. Let l(d) be the second derivative of d**3\/3 - 81*d. Calculate l(k(n)).\nAnswer: -58*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-16)\/(u\/u**13) assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*-5)\/(-3*sqrt(10)*-5) + 4 + ((sqrt(104) - (sqrt(104) + sqrt(104) + sqrt(104)*-2*-1))\/(1*sqrt(32)))**2.\nAnswer: -2*sqrt(13)\/3 + 133\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/152 and -63\/38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4919693 to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-225)\/(-63) + 2*(-2)\/7. Let l(i) = 2*i + u*i + 5*i - 1 - 12*i. Calculate l(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 + -41. Let d = m + -43. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 22. Solve -h + 0*h - x = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2725 + -2729. Which is the second smallest value? (a) -1 (b) 13 (c) -19 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3099.8 - 3100. What is the fourth biggest value in 47, h, 1\/4, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6731 = -16*o + 143*o for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c + 41*c + 48*c + 118*c - 262*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -76 in increasing order.\nAnswer: -76, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = 7*n + 558. Let h = -87 - n. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.853 - -0.853. Let p = 6 - 6.3. Which is the third biggest value? (a) p (b) 0.05 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 651. Let m(r) = 7*r + 326. What is 5*m(w) - 2*u(w)?\nAnswer: 19*w + 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131540 + -16?\nAnswer: -131556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 5*a = 16, -h - a - 2 = 0. Let j(f) = -f + 11. Let m be j(8). Suppose -r = 5*z - 57, -7*z + r = -m*z - 42. Solve h + z = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-66))\/(20*16\/(-11200))?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 0.17557?\nAnswer: 0.17557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -629, -776, -933, -1106, -1301, -1524, -1781, -2078?\n\"Answer: -i**3 + i**2 - 143*i - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c. Let w(q) be the third derivative of -q**7\/5040 + 17*q**5\/10 - q**2 - 2*q. Let a(b) be the third derivative of w(b). What is i(a(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a + a**3 + 833*a**3 + 723*a**3 - 1809*a**3 + (0 + 0 + a**2)*(-2*a + 3*a + 0*a).\nAnswer: -251*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -20*a**2 - 4*a - 2. Let r(g) = g**3 - g**2 + g + 1. Determine k(q) + 2*r(q).\nAnswer: 2*q**3 - 22*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 13. Which is the second smallest value? (a) -2\/9 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*l**4*q - l**3*q - 6459*q wrt l.\nAnswer: 132*l**3*q - 3*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 33, 42, 51, 60?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 117*c - 1547. What is z(13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-4))\/((-21)\/14))\/(-19 - (-81620)\/4305)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = 24. Let x be 3*j\/45*72. Let v be x\/14 + (-32)\/8. Sort v, 6, 1.\nAnswer: v, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/2 - 55205*g**3\/2 + 248463*g**2 - 54*g - 2981556 = 0?\nAnswer: -55214, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96d + -1137a?\nAnswer: -1080b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {c: 4, u: 3, d: 6, w: 1, h: 1, s: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27 and 67\/45191504.\nAnswer: 45191504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 8*n = 33, -3*n + 33 = -2*m + 61 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, -3035\/36, -4, 2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128)*3 - sqrt(128)) - 1*sqrt(1152))\/(sqrt(576)*-3 + sqrt(4) + 5*1*sqrt(4)))**2.\nAnswer: 128\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -15 - -22 - 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*a**4 + 926*a**3 - 2664*a**2 - 882*a = 0. Calculate a.\nAnswer: -49, -3\/10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -0.9. Let m = 2\/29 - 68\/145. Sort -1, b, m in descending order.\nAnswer: b, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*t + 13 + 2 = 0, 0 = 3*o - 2*t - 12. Let v(h) = -h**3 + 13*h**2 + 3*h - 35. Let b be v(13). Sort o, b, 0 in increasing order.\nAnswer: 0, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1803236 - 314.\nAnswer: -1803550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-43 - -31)*4031*2\/(-4).\nAnswer: 2, 3, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -5, -2, 1 in descending order.\nAnswer: 39, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (397016 - 191192 - 195421)*(-2*l**2 + 6 - 6 - l**3) + l**3 - 2*l**3 - l**3 to x*l + f*l**3 + p + j*l**2 and give f.\nAnswer: -10405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**15*((d\/((d**(2\/3)\/d*d)\/d))\/d)\/((d*d*d**(-1)*d*d)\/d) assuming d is positive.\nAnswer: d**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 16*c**2 + 60*c + 675. Let q be a(-15). Suppose k = -k - 4*i - 8, -4*i = -5*k - 6. Sort q, 49, k, -5 in ascending order.\nAnswer: -5, k, q, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24984036 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 11*o**4\/12 + o**3\/6 + o. Suppose 1 - 3 = v. Does 16 divide c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 2*g**4 + (-2*g**2 - g**2 + 4*g**2)*(40*g**2 - 87*g**2 - 34*g**2) to m + x*g**3 + y*g**2 + o*g + b*g**4 and give b.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-196)\/6)\/(32\/(-48)). Let u = n - 14. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 1132005*g**2 + 11320425*g - 28301375.\nAnswer: -5*(g - 5)**2*(g + 226411)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 24. Let r(m) = -5*m**2 - m + 6. Let v(c) = 6*c**2 + 2*c - 6. Let t(b) = q*v(b) + 7*r(b). What is t(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(45)*1 + sqrt(45) - sqrt(45)) - (sqrt(180)*-1 + -3 + sqrt(180)).\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*i + 20463 - 2071 = 0 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 78?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 4)*(-2*z + 6*z - 3*z) + z + z + 0*z - 8*z - 3*z + 10*z)*(2 + 1 - 1).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, n: 6, b: 2, p: 7}. What is prob of sequence nn?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 12) to base 7.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/4 < -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.98 + -12.42. Let k = f - -15. Let j = -1.6000078 + k. Round j to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = w - 7, -w - 18 = -5*w - 3*b. Solve r = -2*l + 1, 0 = -2*l - w*l + r - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**36))\/((i**(-5\/7)\/i)\/i)*((i\/i**(-2\/81))\/i)\/i**14)**(-7\/12) assuming i is positive.\nAnswer: i**(26797\/972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 1186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -158c + 19b?\nAnswer: -13d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 - 12*d - 14. Let f be c(-3). Let k be -5 - f*(-5)\/(-10). Let h(r) = -r**3 + r**2 + 3*r - 1. Let x be h(2). Solve k*o = -3 - x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 49. Let v be d(-11). Let c(s) = -1048317*s - 98. Let p be c(v). Round p to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 63 = 113 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 6 = 2*n - 16, o - 14 = -2*n. Solve n*l - 14 = 13*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1927942, -1927940, -1927938, -1927936?\nAnswer: -1927934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a1 + 6?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*w + 23723 = -6049 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332085\/20 + -3 + 0 + (-1)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.017736.\nAnswer: 0.0035472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 238*d - 238*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2389638, 2389639, 2389640, 2389641, 2389642, 2389643?\n\"Answer: s + 2389637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2585*y**2. Let j(l) = -40254*l. Give v(j(k)).\nAnswer: -4188693973860*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b**2 + 7*b + 8. Let n(q) = 2*q + 2. Let u be n(-3). List the prime factors of r(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 2942361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*g + 3, 3*s - 5 - 10 = -2*g. Suppose 18 - 114 = -g*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489776*-29.\nAnswer: -14203504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:11 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r. Let x(h) = 3 + 3 - 13*h - 6. Give x(m(t)).\nAnswer: 65*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*w - 83*w - 3*w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (975\/(-20))\/(8871\/23656).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 12) to base 13\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*v = v - 4, 5*d - 12 = -2*v. Solve -k = -d*f + 2, 2*f = -0*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*q + 85*q - 459 + 459 + 33*q + 35*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a + 15. Let z(x) = 9*x + 28. Let c(p) = -10*p - 29. Let l(u) = 3*c(u) + 2*z(u). Let k(d) = 5*i(d) + 3*l(d). Calculate k(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108175140195 + -0.01?\nAnswer: -108175140195.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 15, r: 3}. What is prob of sequence crc?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3842199 is divided by 29555?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 69ba08 (base 16) to base 15\nAnswer: 91d01e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 0*b**2 + 3*b**2 - b**2. Let y(q) = 5*q**2 - 6*q. Let n(o) = -6*o**2 + 7*o. Let l(r) = -6*n(r) - 7*y(r). What is w(l(c))?\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**4 - 3*u**2 + 2. Let c(l) = -l**2 + 1. Let s = 0 + 1. Let v be (-4)\/(-8)*s*-2. Let f(r) = v*h(r) + 3*c(r). What is the derivative of f(m) wrt m?\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + 0 + (sqrt(2880)*-1)**2.\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2907 - 2805 = 6*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**6*m**2 - 11975*c**4*m**2 - 1841*c**2*m**2 - 7*c**2 wrt c.\nAnswer: -120*c**3*m**2 - 287400*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/8))\/(f**9*f*f*f*f)*(f**6\/f)\/f**(2\/5))\/((f**(-5)\/(f\/(f\/(f*f**8))*f*f))\/((f\/f**(-2\/9))\/(f\/(f**(2\/3)\/f)))) assuming f is positive.\nAnswer: f**(3101\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 1673.42?\nAnswer: 1673.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 21989.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41798, 334343, 1128372, 2674619, 5223818?\nAnswer: 9026703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 42*q = 40*q - 4091, -3*f + 5*q - 2467 = 0. Let h be 1\/(-1) + f\/(-455). Factor 0 + 2\/5*z**4 + h*z**2 + 0*z - 6\/5*z**3.\nAnswer: 2*z**2*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 437\/347?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-4))\/(6\/8). Suppose 2*g + 3*g = s. What is the greatest common factor of g and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 162*z - 137 = -9. Put 5, -44, 4, z in increasing order.\nAnswer: -44, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-6) + 9\/2. Let j(a) = a - 6. Let h be j(t). Solve h = q + 3*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 40. Let a be d(37). Let u(n) = 101*n**2 - 17*n - 43. What are the prime factors of u(a)?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - v - 8 = 0, 41*v = 45*v - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -30, -45, -60?\n\"Answer: -15*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1955837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2319 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4\/4 + 25*f**3\/4 + 5*f**2\/2 - 25*f - 30.\nAnswer: 5*(f - 2)*(f + 2)**2*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -984, -4095, -9294, -16593, -26004?\n\"Answer: -2*u**3 - 1032*u**2 - u + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 2. Let d be n(-2). Let u = d - -13. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3784*y**2 + 1008*y + 17. Let v(g) = -1261*g**2 + 338*g + 6. Let i(r) = 6*b(r) - 17*v(r). What is the second derivative of i(d) wrt d?\nAnswer: -2534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d009 + -11?\nAnswer: -2d01a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 987 and 733824.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 22 - 6*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8899006*f. Let b(w) = 42*w. Give z(b(q)).\nAnswer: -373758252*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321732, 643464, 965202, 1286946, 1608696, 1930452, 2252214?\nAnswer: 2573982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -1675*g + 2426*g**3 - 30545*g**2 + 30557*g**2 - 902*g**4 + 8*g**5 - 1501*g + 176 + 28*g**5 = 0?\nAnswer: -1, 1\/18, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1386696 divided by 336.\nAnswer: 57779\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + -11 + -18 + 11 + (32 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 504 and (-9)\/(-2) - (-31161)\/94.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9815ce + -4?\nAnswer: -9815d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h + 15. Let c(b) = 2*b**2 - 6*b - 3*b**2 - 6 - b. Let x be c(h). Solve 13 - 1 = -x*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 7 = r. Suppose 3*h - r = h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 15*n + 5. Give m(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 432*l**2 - 623*l - 457246. What is v(-433)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 32 = 47. Let u be (-2 - -1)\/1 - -5. Let q = 2 + u. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 544\/952*35\/16?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -229.3 - -229. What is the third biggest value in -0.9, c, 0.5, -21?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 10*b + 64. Determine k(47).\nAnswer: 1803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15)*-3)\/((-11)\/(-2310)*42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67*x + 1 wrt x?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22481 (base 9) in base 3?\nAnswer: -202112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 29*s + 435*s - 46*s.\nAnswer: 350*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 35 + 1066\/(-656)*-8\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -17*i**6\/30 - 71*i**4\/24 + 209*i**3\/6 + 147*i**2. Let y(h) be the first derivative of b(h). Differentiate y(a) wrt a.\nAnswer: -408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 1. Let n be w(-3). Suppose -8*m - 454 = -502. Suppose -m*p = -n*p + 114. Calculate the smallest common multiple of p and 33.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3912, 15497, 34716, 61509, 95816, 137577?\nAnswer: 186732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 290, 0, -1134 in descending order.\nAnswer: 290, 0, -1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f - 15. Suppose l - i - f = 0, 4*l + 4*i = 6 + 22. Solve 0 = -l*u + 4*q - 9, -u - 15 = -2*u + 5*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*k + 21*k - 141*k + 273*k.\nAnswer: 502*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-223776)\/2430)\/(-148))\/((-28)\/(-200))\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (831\/(-15) + -1)\/((-90)\/6525). Let h = w - 1354. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026769 rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-75) + 4\/(-5). Suppose x*s = 5*q + 3*s - 41, -4*s = 2*q - 8. Let l(v) = 2*v + 7. Let z(a) = -a - 3. Determine q*z(n) + 4*l(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 3*y**2 + 6*y + 4. Let f = -57 + 53. Calculate k(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 1\/30*t**6 + 8*t + 0*t**4 + 0 + 0*t**2 + 0*t**5 - 7\/6*t**3. What is the second derivative of y(g) wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2368712 and 4.\nAnswer: 2368712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 351 and -0.145?\nAnswer: -50.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001283 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-75)\/5)\/(-360))\/((-23)\/((-483)\/14)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -1017.7?\nAnswer: 40.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42.41903 milligrams?\nAnswer: 0.04241903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 29. Suppose 16 = -4*u, 4*u + 28 = b + b. Find the third derivative of -2*v**b - v**6 - v**2 + s*v**2 wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73371517.\nAnswer: 73371517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 8*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4692 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25a5a + -2?\nAnswer: -25a5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 - 272. Let o(a) = -353*a**2 + 13*a + 2. Let q(x) = -177*x**2 + 6*x + 1. Let b(l) = 6*o(l) - 13*q(l). What is the hundreds digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412730.\nAnswer: 2, 3, 5, 11, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (8 - -19)) + -6 - 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -68*x + 6. Let l(i) = 68*i - 5. Let n(w) = -6*h(w) - 7*l(w). Let v be n(1). Find the common denominator of -127\/18 and (v\/15)\/(8\/(-10)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*d - 3 = -27, -2*x = 5*d - 31. Let -4\/5 - 2*i - 8\/5*i**2 - 2\/5*i**x = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -1 + 31. Let c be 32\/(-140) - d\/14. What is the third smallest value in c, -2, 2\/25?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (4 - (4 - -1)) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/((-1995)\/14) - (-6128)\/456. Let c*y + 23\/3*y**2 - 5\/3*y**3 + 4 = 0. What is y?\nAnswer: -1, -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -867.869636 rounded to 2 decimal places?\nAnswer: -867.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*g - 2, 5*u - 10*u - 10 = 0. Which is greater: -23\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + 0*u**3 + 3*u**5 - 5*u**5 + (-u**2 - 5*u**2 + 4*u**2)*(4*u**2 + 2*u**3 - 4*u**2) - 716*u**5 - 3751*u**5 - 98*u**5.\nAnswer: -4571*u**5 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/69)\/1*(-30)\/(-360)*-6.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1226009ml to litres.\nAnswer: 0.0001226009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38435, 152738, 342905, 608936, 950831, 1368590, 1862213?\n\"Answer: 37932*t**2 + 507*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 1. Let m be h(2). Let k = -10 - m. Is k less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 + 1. Suppose g - 2 - 1 = 0. What is the remainder when b(-1) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9102*x**3 - 9107*x**3 - 98*x**2 - 22*x**2.\nAnswer: -5*x**2*(x + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3179*n**2 + 34979*n + 164. What is p(-11)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/10 + 2*g**2\/5 - 414. Factor v(h).\nAnswer: -h*(3*h - 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/106 + 289\/1166. Factor 0*m - 2\/11 + w*m**2.\nAnswer: 2*(m - 1)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339*g + 1285*g + 772*g + 793*g to the form c*g + a and give c.\nAnswer: 2511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2907.051 to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 12*d**2 - 6*d - 28. Let s be i(-6). Calculate the highest common factor of 472 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176428980 a multiple of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -22122230?\nAnswer: 22122252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 7*j - 12. Suppose 0 = j*r + 292 - 1112. Suppose -3*x = 5*z - r, -z + 65 = -5*x - 4. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 180 - 1?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 857300 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14677397803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 - 15*d + 1 - 13*d**2 + d**2 + d**3 + 20*d**2 - 6*d**2 to b*d**3 + t*d + z + l*d**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2011 + 40?\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102.79 * -0.06.\nAnswer: 6.1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a century in decades?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 - 963*c + 10472 = 0. What is c?\nAnswer: 11, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -757311, -757309, -757307, -757305, -757303, -757301?\n\"Answer: 2*t - 757313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(3\/(-2)*-1))\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 31612.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, -2, -9, -8, -1, -3.\nAnswer: -9, -8, -3, -2, -1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1590 and 315?\nAnswer: 33390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523932.\nAnswer: 2, 3, 43661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795 = -3*b - 18*i + 21*i, -2*b - 2*i = -550. Let v = -68 - -98. Suppose k = -0*k + v. Calculate the greatest common factor of k and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53359127.\nAnswer: 71, 353, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-60) - ((-462)\/20 + 23).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 16 + -82 + 22 + 17 - 17\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 17*c + 94332 = 94351, -5*c = -10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 0.128. Let z = 0.351936 + -0.5299491. Let p = z - h. Round p to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -24*y + 1229. Let b be (-12)\/10*(3555\/(-90) - 3). Give w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 849170252.3529064 + -849649987.171. Let r = 479735 + t. Let l = -0.182 + r. Round l to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 33, 92, 205, 390, 665?\n\"Answer: 3*i**3 + 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6720000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/5283 and -46\/63?\nAnswer: 36981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -10. What is the closest to 1 in p, 1\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111111200112 - -2222?\nAnswer: 2111111210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(2 + sqrt(2048)*-3)**2 + 3.\nAnswer: -110608 + 2304*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26269, 47728, 69187, 90646?\n\"Answer: 21459*d + 4810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192146.0699996 + -192146. Let k = n + -0.07. What is k rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(-2383*d**4 - 3008*d**4 + 3462*d**4 + (d**4 - 2*d**4 + 4*d**4)*(5 - 1 - 5)) as l*d**2 + k*d + o + b*d**4 + m*d**3 and give b.\nAnswer: -1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42672955*s**3 + 5*s**2 + 41536757*s - 7?\nAnswer: -256037730*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:02 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.574 (b) 0.4 (c) -5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1312063 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*t + 16, 2*r - r - 4*t - 22 = 0. Let w(x) = 4*x**3 + 9*x**2 + 7*x. Let d(s) = s**3 + 3*s**2 + 2*s. Calculate r*w(c) - 7*d(c).\nAnswer: c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k - 3. Let q be g(3). Suppose 2*n = -d + 9, 4*n = 3*d - 4 - q. Suppose 3*t + t = -4*j + 60, -d*j = -2*t + 2. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3101011*i**2 - 24949878*i?\nAnswer: 6202022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 3:02 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*g - 1176 = -762*g + 104 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 0*p - 2 + 4*p**2 + p**3 - 6*p + 4*p - 6*p. Give k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1597, -3195, -4793, -6391, -7989?\n\"Answer: -1598*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b - 40 - 9*b - 8*b + 35*b - 7*b to the form r*b + h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + -1 + -5 + -1*-2*sqrt(176) + -3 + sqrt(176)*1 + (sqrt(176) - (0 + sqrt(176) + 0)))**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 + -159. Solve 2 + 6 = 3*h + 2*n, 0 = 3*h - 3*n + k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/129, -0.5 in decreasing order.\nAnswer: 2\/129, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47542.52um to nanometers.\nAnswer: 47542520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:33 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-9*(4 + -5). Suppose 4 = 11*m - h*m. Let i be (6 + (-141)\/24)*8. Solve 3*l + m = -i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.79 - 0.21. Let v(z) = -z - 7. Let r be v(-6). Are r and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-45))\/((-14)\/21)*5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 12*f - 11. Let g be c(11). Let a(h) = 3*h**2 - h. Calculate the remainder when 4\/g + (-600)\/(-33) is divided by a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7285*g**3 - 14579*g**3 + 7146*g**3.\nAnswer: -148*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8946209440 and 56.\nAnswer: -8946209384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*2)\/sqrt(3) + (sqrt(98)*-2)**2.\nAnswer: 2*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 162, 168, 174, 180, 186?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2504, -20294, -68744, -163184, -318944, -551354, -875744, -1307444?\n\"Answer: -2555*v**3 + 95*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -109\/6, -0.19, 0.1, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**7\/h*h*h*h)\/h)\/h**(-4)*(h*h*h\/(h**(-3\/5)\/h))\/h**5)**(-28) assuming h is positive.\nAnswer: h**(-1624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 4)*(-3)\/(-6). Suppose 0 = 3*m - 3*q - 11 - g, -m + 12 = -5*q. Solve 5*v + m + 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5438 and 158820.\nAnswer: 431831580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044 + 1547 + 146 = -161*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**6\/72 + t**5\/60 - t**3\/3 - 1. Let o(n) be the third derivative of f(n). Suppose o(h) = 0. What is h?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + i - 19 + 4, -12 = -4*i. Let n be 4\/f*(171 - 0). Let p be 3\/(-12) - 153\/(-4). What is the greatest common factor of n and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51143785?\nAnswer: 5, 7, 11, 71, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*j**2*l - 808*j**2*o - 6*j*l*o - 2*j*o - 30*l*o - l + 2*o - 1 wrt j?\nAnswer: -186*l - 1616*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38834.\nAnswer: 2, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 46 = 14. Let g be ((-18)\/(-36))\/((-2)\/o). Suppose s = -5*f + g, -f - 5*s = 3*f + 1. Solve f = 4*m - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*m + 4*b**2*o**3 + 3272*b**2*o**2 - 716673*b*m*o**3 + 1681*m*o**2 wrt o?\nAnswer: 24*b**2 - 4300038*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/(c\/c**(2\/17)))**(5\/14) assuming c is positive.\nAnswer: c**(-75\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 25. Let j be (-6)\/v + 224\/49. Suppose 1 = j*o - 9. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 + 10*t - 7. Let q be d(-7). Let a = -157 - q. Calculate the remainder when a is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (190\/30)\/(0 + 3\/1242)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/r*r\/(r\/r**16))\/(r**(-15))**6 assuming r is positive.\nAnswer: r**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -102221011?\nAnswer: 102221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.1 (c) -107 (d) -4 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = -0. Let m be (-4 + q)*(1 + 0). Let a(w) = -w**3 - 6*w**2 - 5*w. Calculate a(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 4*p**2 - 4*p**2)*(1728*p**2 - 616*p**2 + 633*p**2).\nAnswer: -1745*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29170855 to the nearest integer?\nAnswer: 5401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*k - 11. Let b be (-1)\/(-1*k\/16). Suppose 3*q - b - 46 = 0. Solve 7 + q = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w - 27. Let f(z) = 4*z + 9. What is -17*f(i) - 6*j(i)?\nAnswer: 4*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 315218 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2 - 22. Solve -m = 5*c, -2*c - 2*c = -d*m + 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 118112*v**3 + 708768*v**2 - 1417600*v + 945088.\nAnswer: -4*(v - 2)**3*(v + 29534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.69 + -0.39. Put c, -3, 3 in decreasing order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74799 + 8315.\nAnswer: -66484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 38*f + 7*f + 4 - 5.\nAnswer: -31*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 678 and 94468?\nAnswer: 283404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 5. Suppose -2*z + 5*b + 20 = -0, 2*z - 3*b = 16. Suppose -z*x = -21 - 44. Let q = 14 - 8. Let p(l) = 2*l - 11. Calculate q*p(y) + x*w(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 - -126.81. Which is the closest to -2? (a) 0.1 (b) -2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -39 (b) -1 (c) 2\/9 (d) -54 (e) -0.3 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -258 times -2.41\nAnswer: 621.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 0*m**3 - 4*m**3)*(-5*m**2 + 18 - 18) - 4*m**5 + 2*m**5 - 2*m**5 + (2*m + 0*m - m)*(-4 - 2*m**4 + 4).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1502.4 and 3.\nAnswer: -4507.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + -4 + -3064 + 3206.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098.3813 rounded to the nearest 10?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*s + 6*s. Let z(o) = -s + 16*o + o**2 + 2 - 12*o + 5*o. Let d = -14 - -5. Give z(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(7\/2) + 1377\/1071?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 9868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 144371.7\nAnswer: 2021203.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711933 is divided by 9106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(175) + -1.\nAnswer: -5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19873330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + (sqrt(19)*3)**2 + (sqrt(171)\/sqrt(9) + sqrt(19))**2 + -5)*-1.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzziizzizzzizi. Give prob of picking 4 i.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.696021 rounded to 3 dps?\nAnswer: -1.696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/13 + 82*h\/13 - 4884\/13.\nAnswer: 2*(h - 33)*(h + 74)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3779?\nAnswer: 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 2 z when four letters picked without replacement from {o: 4, z: 8, j: 1}.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 equal to -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i. Let s be j(1). Let t be (42\/56)\/(s\/40). Let k = 85 + t. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-75 + 17 - 8*x + 9*x).\nAnswer: -2*x + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(209\/342) - (-3 + -2 + -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 6:45 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 0. Suppose 4 = 3*s - s. Suppose l = -2*n - 4*r + 8, -3*n - s*r + 18 = -n. What is the greatest common divisor of n and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(-1 + 1 - 2)*(5*v**3 - 6*v**3 + 2*v**3) - 70*v**3 + 25*v**3 + 27*v**3 in the form u*v**3 + r + z*v**2 + g*v and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1965*y**2 + 2 + 0 - 1830*y**2.\nAnswer: 135*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (82\/(-16) - (-11)\/88).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354638903 to the nearest integer?\nAnswer: 18832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + 0*l)*(3*l**3 - 2 + 2 + (-3 + 3 + 2*l)*(l**2 - 3*l**2 + 4*l**2))*(1 - 3 + 3).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:21 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4) + (-15)\/6. Let u be t\/(-10) - (-216)\/135. Solve k + 3*b = -0*k - u, k - 5*b = -10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**3 - 1\/15*n**5 + 1\/60*n**6 + 0*n**4 - 4 + 0*n + 5\/2*n**2. Let o(z) be the second derivative of s(z). Factor o(p).\nAnswer: 2*p**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 8*p - 20. Let g = -12 - -6. Let q = g + 12. Solve -t + q = -p*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.4018\nAnswer: -0.08036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*9\/(-162))\/((-5)\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) 4\/9 (c) 5\/4 (d) 12\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -868109 or -868143?\nAnswer: -868143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4\/9*g**4 + 4\/9*g + 2\/3*g**2 - 2\/3*g**3 = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70281185 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6179085690243 and 0.06.\nAnswer: 6179085690243.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 1330?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 190. Suppose 5*a = 47 + 73. What is the greatest common factor of a and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - 8*l - 2109 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/13)\/r**(-6))\/(r**0\/r**(1\/3)))**(1\/33))**(-9\/4) assuming r is positive.\nAnswer: r**(-241\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - i)*(860*i - 2111 - 516*i - 343*i).\nAnswer: 2*i**2 - 4222*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**1\/r*r**(4\/3)*r*r*((r*r\/(r**(-2\/3)*r)*r*r*r)\/r)\/r**(2\/5) assuming r is positive.\nAnswer: r**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**3 + 30*g**3 - 57*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -3.93.\nAnswer: -3.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t - 8755. Let k(p) = 2*p + 5. Determine d(k(l)).\nAnswer: -20*l - 8805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4102327?\nAnswer: 4102327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 214163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1214.978 + 1198. Let t = h - -17. Let v = t + -0.021. Round v to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 2*k**2 - 4*k + 3. What is c(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 3)*(n + 3 - 3) - 552 + 36*n + 552 + 8*n to the form w + v*n and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y**3 + 93*y**2 - 1473*y - 8939. What is d(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**4 - 1400*s**3 - 4*s**2 - s - 39?\nAnswer: -48*s - 8400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(2\/8)\/((-1)\/(-2))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 631 - 1894\/3. Is -2.8 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14566872 to the nearest integer?\nAnswer: 3817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30860928 divided by 45924\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221 and 507?\nAnswer: 8619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2792*g*o**3*s + 13*g*o**2*s + 2*g - 3*o*s - 7 wrt o?\nAnswer: -16752*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 7*b + 6. Let n be z(-6). Let t be n - (-106 + -1 + -1). Let p = 203 - t. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 11439*q + 11439*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-36)*-19 + 8\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 91225\nAnswer: 91225.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 110*u**3 - u**2 + 3*u - 10. Let k(p) = -10*p + 122. Let n be k(12). Let b be o(n). Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.5 - 0.0271.\nAnswer: -6.5271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 20. Let h(v) = -o*v**2 - 6*v - 1 + 7 + 0*v. Let p(m) = 15*m**2 + 13*m - 13. Let a(i) = 13*h(i) + 6*p(i). Let d(z) = -5*z. Give a(d(r)).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 3, -4 in descending order.\nAnswer: 3, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 55. Let g(y) = -5 + 2*y - y - 2 - w*y. What are the prime factors of g(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1411 = 3*y + 14*y. Suppose 5*i - 12 = y. Calculate the highest common divisor of i and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**2 - 4*y. Let g(l) = 0*l + 7*l - 4*l**2 - 9*l**2. What is -6*g(t) - 11*o(t)?\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 7*v**2 - 8*v - 6. Let y be o(-6). Suppose 10*z - 135 = -75. Suppose 2*j = 2*f, f - y = -z*j + j. Which is smaller: 2\/23 or f?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395626429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -234*p + 24. Let l(a) = a - 1. Let u(c) = -108*l(c) - 2*y(c). Let d(r) = -30*r - 5. Let j(t) = 25*d(t) + 2*u(t). Differentiate j(k) wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 10*j - 16. Let u = 47 - 40. Let a be i(u). Solve 22 = -2*p + a*q - 10*q, 5*p = -2*q - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2883?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37\/2, 0.1, 1 in increasing order.\nAnswer: 0.1, 1, 37\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125818 divided by -112.\nAnswer: 8987\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 23 = -231. Let w = f + -28. Suppose -2*a + 5 = -49. Calculate the lowest common multiple of a and w.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/132 - 1\/33. Let a = -991\/5 - -199. Sort g, a, -0.4 in decreasing order.\nAnswer: a, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 128? (a) -0.3 (b) -2\/33 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + -62622?\nAnswer: -62649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52884580 and 21.\nAnswer: 158653740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (6 - 30) - (18 + 34)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 4*y**2 + 4*y + 2. Let m be q(5). Let v(w) = w**3 + 4*w**2 + 3*w - 4. Let x be v(m). What is the units digit of 2\/(-2) - x\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18970805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let b be m(-8). Let t = b - 6. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-324)\/(-1))\/6*(-14)\/(-21). Sort -5, b, 4, -4 in decreasing order.\nAnswer: b, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1063, -99, -5 in descending order.\nAnswer: 1063, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53308224 is divided by 21670?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 - k + 4. Let j be p(4). Suppose 2*q + 3*q - 675 = j. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t = -52*t + 128. Which is the nearest to -1\/3? (a) t (b) -0.32 (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(864) - 2*sqrt(864)))*-2*4)\/(((sqrt(48) + sqrt(192))\/sqrt(12))\/((sqrt(12) + sqrt(48)\/sqrt(4))\/sqrt(6))).\nAnswer: -208*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -38303+0.0695285351\nAnswer: -38302.9304714649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176 - -404. Let p = -70 + l. Calculate the smallest common multiple of p and 12.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118547535 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/(-1*(-55)\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2940 divided by 2\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1133795 and -1549.33.\nAnswer: 1132245.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5*sqrt(2057) + sqrt(2057))*3 + sqrt(2057))**2 + (1 + (1 + sqrt(2057))*2)**2.\nAnswer: -738454 + 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 202151.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11243*i**2 + 3743*i**2 + 3749*i**2 + 3753*i**2. Let c(r) = -22*r**2. Let g(b) = 111*b**2. Let j(p) = -21*c(p) - 4*g(p). Calculate j(q(a)).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*sqrt(539)*-2 - sqrt(539))*5)**2.\nAnswer: 56931875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9891523 to the nearest 100000.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 551 = -5*v, -v - 6*m + 7*m + 107 = 0. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:49 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3739438 divided by 1.\nAnswer: 3739438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - 2538?\nAnswer: -2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**8\/151200 + i**5\/60 - 6*i**2. Let u(y) be the third derivative of g(y). Factor u(c).\nAnswer: 2*c**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12130 = -x, -i - x = -6*x - 2426. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(9\/(-9))*(-19)\/(171\/(-54))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.015038 (b) 42\/11 (c) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -166575336.\nAnswer: -166575338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3428\/(-381) - -17 - (6 - -2). Which is the second biggest value? (a) t (b) 3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -311.9 + 312. Let g = -57.3 + 58.3. What is the biggest value in h, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -1\/270*n**5 + 0*n**4 - 1\/270*n**6 + 0 + 0*n + 1\/756*n**8 + 0*n**3 + 2*n**2 + 1\/945*n**7. Find q such that c(q) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 9. Let p(t) = 3. Let i(f) = -7*p(f) + 2*y(f). Let z(q) = 2*q - 7. Let m be z(6). Calculate i(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/63 greater than -409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 + 116. Let f be ((-5)\/15 - 0)*c. Let a(o) = 90*o - f - 177*o + 90*o. What is a(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-19)*l**29*l)**(-11\/2))**(-10) assuming l is positive.\nAnswer: l**605","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-131720)\/72446)\/((-2)\/(-11)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 4*q = f - 21, -3*f + 2*q = -21. Let p(i) = i**3 - 6*i**2 + 5. Let a be p(6). Let h = f - a. Solve 0 = -2*r + h - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g - 7. Let v be t(-9). Let w be v*-1*(-1)\/4. Suppose 132 = w*z - z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/115 - 394\/805. Which is the biggest value? (a) 1 (b) m (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-8)\/12)\/(12\/(-144)). Solve -28*f = -s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41515.34 grams in micrograms?\nAnswer: 41515340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4080.9999987327 - -4081. What is v rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -157, -12, 0, 22 in ascending order.\nAnswer: -157, -12, 0, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**3 - 4*a**2 - 4*a. Calculate h(-3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 42*x**2 + 93*x - 378.\nAnswer: 3*(x - 2)*(x + 7)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 126 - 161 = -3*z, z + 199 = -3*i. Let l = i + 108. Let u = l - -73. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.799683 and -3.746.\nAnswer: -14.545683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19435303\/10 or 1943531?\nAnswer: 1943531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*z + 14*z + 13*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3098668, -3098675, -3098680, -3098683, -3098684, -3098683, -3098680?\n\"Answer: g**2 - 10*g - 3098659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 - 78. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*a + 286 - 688 = 582*a + 396 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 998 * 77.\nAnswer: 76846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.379 - 0.121. What is the closest to 1\/4 in 2, -2, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 = -3*j, -3*v + 4 = 4*j + 15. Let u(b) = -58*b - 1. Calculate the remainder when u(v) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**25*p*p**(1\/4)\/p assuming p is positive.\nAnswer: p**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n + 19. Suppose 6*z = z - n. Let k be z*(1 + 0) + 1. Is 0 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*i + 2425*i + 2 + 0 in the form q*i + t and give q.\nAnswer: 2353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -455320 * -9.3\nAnswer: 4234476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*y + 13, 2*y + 9 = d - 3*y. Suppose 2*s = d + 10. Solve -s = -5*p + 3*f, 2 = 3*p + 5*f + 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62401, 125715, 189023, 252325, 315621, 378911?\nAnswer: 442195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -7. Let l = 2 + u. Let s = 54 + -54.5. Which is the biggest value? (a) s (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*j**3 + j - j - 153*j**3 - 102*j**3 + 423*j**3.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4702341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**28\/l)**(2\/19)\/(l**(-15))**(-23) assuming l is positive.\nAnswer: l**(-6501\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5492*s - 2. Let c(g) = -2196*g + 1. What is -12*c(m) - 5*p(m)?\nAnswer: -1108*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by 11\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1586 = q + a - 136, -2*a = 4*q - 6894. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = -0. Let q be 1 - (0 - -4) - -2. Let m = 2 - q. Solve -4 = m*a + h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 7*g + n + 1138, 0 = 4*g + 3*n - 1539. Let r = g + 46. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5730.65955 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2603 is divided by 117?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 7*y + 6. Suppose 4*t + 14 = 2*n, -t - 3 = -0. What is j(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**4 - 2*p**4 - p + 5*p**4)*(39 - 19 - 18) as i + q*p**4 + k*p + o*p**3 + h*p**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-50)\/(-640)*64.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 8, 3*y - 60 = -5*n + 2*y - 4*y for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013239646 rounded to four dps?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 1. Let i(f) = -f**2 - 6*f - 6. Let l be i(-7). Let b = l + 15. What is the remainder when x(b) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -263 + 118 + 5*t - 3*t**4 + 146 - 2*t**3 in the form q*t**4 + z*t**2 + y*t + s + o*t**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 145*(-6)\/(-180))*(-3)\/20\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 59*u**7\/7 + u**3\/6 + 85*u**2\/2 - 32*u + 1. What is the second derivative of c(n) wrt n?\nAnswer: 7080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011027 rounded to seven decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001586188015 rounded to 6 dps?\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 314*i + 620.\nAnswer: 2*(i + 2)*(i + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -3, 67, -28, -4.7, -5 in increasing order.\nAnswer: -28, -5, -4.7, -3, 0.06, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-6) - 2)*-3. Suppose -38 = -2*k + k. Calculate the remainder when k is divided by 48\/3 + -2 + c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-56))\/((-3140)\/2198)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Suppose 2*l = -2*l - 5*z + 27, -2*l - 2*z = -12. Sort -4, i, l in increasing order.\nAnswer: -4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 - -1.98. Round v to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1503.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7083883 rounded to 4 decimal places?\nAnswer: 0.7084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 3*n + n)*((2*n + 2*n**2 - 2*n)*(n + 0*n - 2*n) - n**2 - 2*n**3 + n**2 + n) in the form a*n**3 + k*n**2 + o + f*n + d*n**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 865567481 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let w(l) = l + 2. Let z(a) = -2*b(a) - w(a). Let j be z(2). Solve 3*p + 9 + 0 = j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*a. Suppose a = -z + 15 - 4. Suppose 0 = 5*m + 10, -2*d - z = -2*m - 25. Solve -8 = -t + d*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20995 + 26.\nAnswer: -20969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -1644, -3708, -6598, -10314, -14856?\nAnswer: -20224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -523 + 10339\/20. Find the common denominator of 43\/274 and a.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 6*d + 31*d. Let o(n) be the third derivative of n**2 + d - 1\/6*n**3 - 1\/120*n**6 - 1\/8*n**4 + 0*n - 1\/20*n**5. Factor o(c).\nAnswer: -(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*p = -117 + 5. Which is the nearest to 2? (a) 5 (b) p (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.13 - -0.13. Suppose -2*p - 3 - 9 = 0. Let x be (20\/p + 2)\/(-6). Which is the second biggest value? (a) o (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**(-6))\/y)\/(y**(-9)\/y))\/((y**(1\/7)*y)\/(y\/(y\/y**(4\/5)))) assuming y is positive.\nAnswer: y**(583\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/6321 and 13\/350.\nAnswer: 316050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5329282 decades?\nAnswer: 0.005329282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-5)\/(-3))\/((-2)\/(-178))*3 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 7:11 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2090787 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -9, 2\/19, -39, -1\/6 in descending order.\nAnswer: 3, 2\/19, -1\/6, -4, -9, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = 4*d - 7603. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 7*a + 5. Let f be m(4). Let b = f + 7. Put 4, b, 1 in descending order.\nAnswer: 4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 1 b when three letters picked without replacement from qqbibqquubnbci?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*c = -13 + 1, -118*c + 113*c - 20 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*r + 194369, 4*r - 82599 = -4*a + 176593. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.1, -1\/13, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c = -5*z + 35*c + 411, z = -4*c + 63. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 27. Let i be 2 - -7 - (12 - 0)\/(-3). Let q(g) = 8*g - 53. Let u(v) = i*o(v) - 6*q(v). Calculate the remainder when 91 is divided by u(16).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-10)\/(-8))*(-112)\/(-98). Let v be (-1)\/(-35) + 4\/10. What is the nearest to 0.1 in v, 4, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/50 - -2\/25. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w - 5, 0 = 3*x - 3*w + 24. Let j(a) = a**3 + 8*a**2 + 13*a + 5. Let r be j(x). Let m(o) = 8*o + 4. Let d(p) = -p - 1. Determine r*m(z) - 5*d(z).\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*p - 8 + 31 = 0, 3*p = 3*k - 15. Calculate the highest common factor of 10 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/7 - 1038*g\/7 - 900 = 0.\nAnswer: -6, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6656 and 42496?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -5*w + 4 + 4\/3*w**3 - w**2 + 1\/4*w**4. Determine p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 6*w + 23*w + 680 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 5. Let q(p) = -9 + 3*p + 0 - 2*p. Let i(s) = 6*s**3 - 2*s**2 + 2*s - 1. Let f be i(1). Give f*b(v) + 3*q(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 33 + 29 - 4*d**2 - 4*d - 58 + 7*d**3 as n*d**3 + y*d + z + f*d**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1786 (b) 1\/8 (c) -18 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5 - 5 + 24 - 13. Suppose -3*j = 3*y - 18, 2*j + 15 = y + 6*y. Let x(r) = -r - 2. Calculate j*v(c) + x(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/11*n**2 + 442\/11*n = 0.\nAnswer: 0, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fa + -918?\nAnswer: -81e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x = -24*x - 14. Suppose 4 = x*g - 2*b, 0*b + 10 = 4*g - 2*b. Calculate the remainder when 43 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -326\/661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -185, 4, -451, -2 in decreasing order.\nAnswer: 4, 2, -2, -4, -185, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 + 410*m**2 - 31 - 402*m**2.\nAnswer: 8*m**2 + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2280, -4616, -7006, -9444, -11924, -14440?\n\"Answer: v**3 - 33*v**2 - 2244*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18259348 is divided by 18259330.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1531741 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 83*d)*(-2*d + 21*d + 19*d - 2*d).\nAnswer: 2988*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 15*r**2 - 8*r. Let s be y(10). Let p = -237 + s. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h = -8*h - 68 - 16 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let k be q(-1). Let y be k*(-2 - (-12)\/(-2)). Suppose -y + 60 = 4*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)*(-7 + 7). Let o = -1 - -30. Suppose v*i - o = -i. Is 30 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {r: 4, m: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 423, -10, 299.71?\nAnswer: 299.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 32. Suppose 0 = 3*g + 3, 2 - 5 = -3*p - l*g. Suppose 2*c = -5*w + 240, 4*c + 0*c = -p*w + 448. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 5)*(2 + 5 - 8)*(-82*l + 44*l + 4 + 39*l)*(0*l + 3*l - l) in the form u*l + h*l**2 + w and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - 5.2508.\nAnswer: -6.3508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18 + 7 + 10 - 28 + i**2 + 10*i. Calculate w(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwvxokkwtvwxwxtkk. Give prob of picking 2 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486.0149 litres to millilitres.\nAnswer: 486014.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15617 from 276.\nAnswer: 276.15617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*(-24)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 29*w + 357. Let s be z(-12). Solve 11*v + 4*q = 8*v - 10, 3*q = -3*v - s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -2\/19, 95, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -641 - 42026?\nAnswer: -43000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5.7 (b) -5\/16 (c) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1327 - -1319. Put l, -5\/2, 5\/4, -4\/5 in descending order.\nAnswer: 5\/4, -4\/5, -5\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/6 and 92\/273.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57419369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2090 + 3228. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in 0, -159\/2, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5162 (base 7) in base 12?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**3\/3 + 21*z**2\/2 + 7*z. Let d be q(-12). Suppose 0 = 10*f - 5*f - d. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34033 + -33678. Solve 53*t - m = 69 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/565 - 41119\/10170. Let t be -1 - (-2)\/12*-251. Let n = t - -21. Calculate the common denominator of h and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 - -72. Let x be 6\/q - (-207)\/180. Let x*b**3 - 2\/5*b - 2\/5*b**4 + 0 + 2\/5*b**2 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n + 89. Let f be r(0). Let o = 124 - f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975880891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2719 + 2722. Let t = 1.2 + -1.5. What is the third smallest value in 2, t, j, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -4.1. Let k = -29 + 26. Which is the closest to 1? (a) k (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -31. Which is bigger: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 44. Let v(m) = m**2 + 5*m + 4. Let l be v(z). Calculate the greatest common factor of l and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/2 - 67821*g**2\/2 - 678060*g - 3390050 = 0. Calculate g.\nAnswer: -67801, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + (-1)\/(3 - (5 - 1)). Let j(a) be the third derivative of a**5\/60 + a**4\/6 + 2*a**3\/3 + a**2. What is j(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -1 (c) -0.4 (d) -2.1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 290 + -302.3. Let p = 29.43 + -20.13. Let o = p + n. What is the closest to 2\/7 in o, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -56 - 141 - -128?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 6. Let v be k\/4 + 605\/4. Suppose -2*n - 167 = -3*p, 6*p - v = 3*p - 2*n. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-73)\/(-6) - (-16 + 388\/24). Solve 0 = 6*d - r*d + 10*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2 - 29*i - 34. Let b(j) = -10*j - 3*j**2 - 5 - 1 - 2 - 3. Suppose 48 - 13 = 5*u. Let z(m) = u*b(m) - 2*g(m). Factor z(a).\nAnswer: -3*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**3 - q**2 + 1. Let b(k) = 4*k**2 + 15*k + 16. Let d(t) = -11*t**2 - 44*t - 49. Let w(l) = 8*b(l) + 3*d(l). Let p be w(-10). What is h(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 4*u**3 - 7*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-30)\/(-8) + (-6)\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqqqqqqqmm. What is prob of sequence qm?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -214*g**3\/15 - 12618*g**2\/5 + 29660*g - 406832\/15 = 0.\nAnswer: -188, 1, 1082\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6051*i + 10053 = 6060*i. Which is smaller: i or 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-980)\/175)\/(13\/(-195)*27).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 125 - 34 = 8*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*m + 5*q, 3*m - 6*m + 36 = 3*q. Suppose 4*k - 26 = -m. Solve -i = -k*z - 2, 0 = 2*i + 2*i + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 5*n**2 + n + 3. Let j be f(5). Calculate the greatest common divisor of 88 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = 3*s. Suppose 5*o - 3*j = 476 - 147, 2*o - 5*j - 143 = 0. Let c = o + -37. What is the greatest common factor of s and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/4 + 14\/10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 5*k**2 - 8*k + 33535*k**3 - 33531*k**3.\nAnswer: 4*k**3 + 5*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x + x**2 - 2*x + 7 + 0*x**2 + 5*x. Let y = -27 - -20. What is q(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003673 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 121, 423, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-77)\/(-14) - 4)*2. Solve 0 = 2*l + 3*c - 9, l - 5*c - 7 = -r*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24428 and 992.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 6*b**2 - 2*b + 2. Suppose 5*q + 252 = -9*q. Let z = q + 21. Calculate p(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275558*c*k**2 + 14*c*k + 3*c - 711*k - 1 wrt k?\nAnswer: -551116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.555547 years?\nAnswer: 0.004555547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.896 - -0.104. Suppose 2*f = 4, 4*z + 17 = -4*f - 3. Let q = 8 + -7. What is the nearest to -1 in z, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + q**3 - 1 + (-1 + 2*q + 1)*(1 - 2 - 1)*(7*q**2 - 3*q**2 - 6*q**2) to the form x*q**2 + s*q**3 + m*q + v and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16425842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*b - 3*l + 147, -5*b + 4*l = -255. Suppose 42*t - b*t = -135. Suppose -t*m + 32*m - 19235 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlok when four letters picked without replacement from {l: 4, d: 3, o: 4, k: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3 + 3*d - 4*d - 3 - 7. Is 3 a factor of h(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325 divided by -10823\nAnswer: -325\/10823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 154*u**2 - 109*u + 796. What are the prime factors of b(-79)?\nAnswer: 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 88?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(11 + 2 + 1). Let k be (-3)\/(-5) - 1\/(-15). Let f = -0.05 - 0.05. Which is the nearest to f? (a) k (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 4*d - 2. Let w be z(1). What is the remainder when 84 is divided by (3 + 2\/w + 2)*6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385178908, -385178905, -385178900, -385178893, -385178884, -385178873, -385178860?\nAnswer: -385178845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 4*v - 11, -4*c + 4*v + 10 = v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6307, -12639, -18971, -25303?\nAnswer: -31635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 28 - 17 = 0. Suppose 2*o = 3 - 5. Let l = 1 + o. Solve l*w = w + p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2278, -2290, -2308, -2332?\nAnswer: -2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -84*u + 608. What is t(5)?\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, j: 2, g: 1}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-12)\/6*-5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158975 is divided by 432.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 - q. Suppose 4*r - 2 = -m, m + 5*r + 2 = 3. Is 5 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:54 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = l, 13*l - o = 18*l - 33. Let k be (0\/(-3 - -2))\/2. Suppose u + r = 5, k*u + 1 = 3*u - 4*r. Calculate the greatest common divisor of u and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) + 102\/(-14). Let b(j) be the first derivative of 5*j**2 + 5*j - 559. Let n(k) = 9*k + 4. Calculate a*n(v) + 6*b(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - 3*u)*(-u**2 + 0 + 0) + u**3 + 3*u**3 - 7*u**3 + (3*u**2 + 8*u**2 - 3*u**2)*(u - u - 3*u) + (-2*u + 4*u - u)*(0*u**2 - u**2 + 0*u**2).\nAnswer: -25*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + sqrt(112)*-2 + sqrt(112))**2.\nAnswer: -200*sqrt(7) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -648, -646, -644, -642?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**3 + 7*n**2 - 449*n - 381. What is the first derivative of l(i) wrt i?\nAnswer: -18*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 8\/(12\/3). Suppose -u*r + 30 = -2*t, -3*r + 2*t - 5 = -6*r. Suppose 99 = r*x + f + 2*f, 60 = 4*x - 4*f. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = 5. Let p be 1\/b - (-35)\/(-7). Is 254\/(2 + (p - -4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 64460 * 0.853\nAnswer: 54984.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v - 10. Let j(l) = l. Let h(a) = -12*j(a) + u(a). Let c be (-2)\/(18\/14 - 1). Let d be h(c). Calculate the highest common divisor of d and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654, 616, 564, 492, 394?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, t: 2}. Give prob of sequence ut.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 385*y**3 + 1180*y**2 + 15*y - 180.\nAnswer: 5*(y + 3)*(7*y + 3)*(11*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.446812 minus -0.332?\nAnswer: -52.114812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 12*a + 1 + 473*a**3 - 14*a - 479*a**3 - a**4 - a**2 in the form f*a + y*a**4 + i + u*a**3 + p*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**8\/2184 + 22*o**7\/1365 + 49*o**6\/780 - 11*o**5\/195 - 4*o**4\/13 + 2178*o**2. Determine l, given that d(l) = 0.\nAnswer: -2, -1, 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4360.2 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 253697318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046497*-8.\nAnswer: -0.371976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 271, 565, 853, 1135, 1411, 1681, 1945?\n\"Answer: -3*h**2 + 303*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(11 + 4 - 19*a + 6*a) + 0*a + 0*a - 11*a - 3*a + 3*a + 3*a.\nAnswer: 5*a - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 2*r - 6, 5*r = -15. Let n be 2\/(-3) - 53\/(-3). Let f be (-2)\/(-3) + n\/(-3). Sort 4, c, f in descending order.\nAnswer: 4, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2664\/288)\/(1\/4)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 10. Let u be w(6). Suppose b - 3*n - 43 = 20, 2*b + 3*n - 81 = 0. What is the highest common factor of b and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007762753 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnwo when four letters picked without replacement from wxnwzof?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*s = 10, 288*g - 275*g + 2*s + 9 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -17?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5)*(-159 - -4). Let l = z - 22. Let u = 17 + l. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 109, 349, 637, 997, 1453, 2029, 2749?\n\"Answer: 4*j**3 + 212*j - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -1. Calculate the lowest common multiple of ((-9)\/(-6) - 1)*10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336, 1252, 2800, 4992, 7840, 11356, 15552, 20440?\nAnswer: 26032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 150324219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 24*f - 85. Give w(16).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 c when four letters picked without replacement from {c: 4, l: 6}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5479 and 36076.\nAnswer: 30597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1054, 4424, 9984, 17728, 27650, 39744, 54004, 70424?\n\"Answer: -m**3 + 1101*m**2 + 74*m - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/5 + f**4\/3 - 9*f. What is the third derivative of v(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**2 + 2*x**2 - 2*x**2 + (-9 + 9 - x**2)*(0 - 1 + 4) to a*x**2 + b*x + k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1003 - 3)\/(1*-2). Let n be ((-1)\/(3\/d))\/(-1). Let m = 169 - n. What is the smallest value in 0, m, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1093*m - 863. Let y be j(2). What is the greatest common divisor of y and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*q + 17 = 0, 3*o + q - 3 = -2*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699.1326 nanoseconds in hours?\nAnswer: 0.0000000001942035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*y**3 + 101*y**2 + 23168?\nAnswer: -231*y**2 + 202*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -169?\nAnswer: -6\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 65, 4, -13, -2 in descending order.\nAnswer: 65, 4, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/720 and -173\/20295480?\nAnswer: 121772880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*2\/(-18))\/(575\/10350).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 853649857 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1701 + -4223?\nAnswer: -2822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111231210 - 0?\nAnswer: 111231210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3830769 or 3830777?\nAnswer: 3830777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003160724 rounded to seven decimal places?\nAnswer: 0.0003161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(2\/15)\/(13\/(-13)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 1 - 12*s + 5*s - 14.\nAnswer: s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1424 = 5*d + 4*s - 1381, -4*s - 22 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -13 + 2 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*2*-3 - (-3 + sqrt(396) + sqrt(396)*-1 + sqrt(396) + sqrt(396))) + (3*sqrt(176) - sqrt(176)) + 0 + -4*2*sqrt(176))**2.\nAnswer: -504*sqrt(11) + 77625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s + 6. Suppose 17 = s*y - 3*c - 8, c = -2*y + 21. Solve -y = 4*m + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*q**2 - 33*q**2 + 22*q**2 + q + 2*q**3)*((-1 + 3 - 3)*(5 - 2 - 5) + 4 - 4 + 1).\nAnswer: 6*q**3 - 102*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/10395*-28*(-10)\/4?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*m + 445 = 0, -5*g + 445 = -5*m - 0. Calculate the remainder when g is divided by (18 - 13)*-3*46\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 109891815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13*s**2 - 974351*s. Let k(j) = -11*j. What is i(k(l))?\nAnswer: 1573*l**2 + 10717861*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10\/23 (b) -2\/9 (c) -3\/4 (d) -4\/9 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*p - 257*p = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.1633.\nAnswer: 1.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -829 + 831 + 4*g**4 + 2*g**3 - g**4 - 4*g**3 - 2*g**2 + g as v + u*g**2 + y*g**4 + n*g + p*g**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8840 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*-0.562.\nAnswer: -0.09554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -72*k + 34. Let z be u(-4). Let i = z + -230. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*h = 60, -4 = h - 0. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 - 116*m - 2*m**4 - 117*m + 3*m**2 + 0*m**3 + 234*m to p*m**2 + u*m + h*m**3 + a*m**4 + t and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 98525 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1994 - 1424. Let d be 16\/(-10)*u\/(-12). Suppose 0 = t + 15 - d. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0048744 to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340 + -113432?\nAnswer: -114322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 3\/4, -473\/28 in descending order.\nAnswer: 3\/4, -473\/28, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 234*h - 27611. Determine f(118).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 (base 13) in base 2?\nAnswer: -1001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqsrsqqqqsqsq. What is prob of sequence sqr?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13\/24 + 11\/24. Let s = -1 - -1.04. Which is the nearest to 1? (a) s (b) 2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133559488 = 133559492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (354283*y + 4516 + 2210 - 354284*y)*(2 + 0 + 1).\nAnswer: -3*y + 20178","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 - 108. Let i(u) = -8*u**2 + 6*u - 5. Let v(f) = f**2 - f + 1. Let a = -49 - -53. Let x be (8 + -6 + 3)*(a + -5). What is l*i(o) + x*v(o)?\nAnswer: 3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1247465 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 138?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1061, -1\/2, 4, -115.4 in descending order.\nAnswer: 4, -1\/2, -2, -115.4, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i + 20 = 0. Suppose i*l + 2*g = 1 + 13, 5*g + 17 = 3*l. Which is smaller: l or 6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a week in hours?\nAnswer: 4312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 217118 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 301*y - 232109. Give r(771).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 25. Let r = b - -4. Let c = 2 - 1.5. Put c, 2, r in decreasing order.\nAnswer: r, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/335 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205034 is divided by 49?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, 1\/7, -4, 1089, -1 in descending order.\nAnswer: 1089, 3, 1\/7, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(14\/3*63\/(-84)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*f + 381 = 4*f, 2*f = 4*r - 284. Let o = r + -57. Suppose 15*d + 34 = o*d. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 14*f**2 + 59*f - 15. Determine r(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + p + 11, -u - p + 4 = -5. Suppose t - 5*j = -17, u*t - 5*j = t - 11. Is t != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35105 (base 9) in base 12?\nAnswer: -11672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -92 (b) -593\/4 (c) -2\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*f**2 + f**3 - 4 - 13*f**2 + 0*f**3 in the form u + k*f + j*f**3 + i*f**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 0.1 (b) -97.7 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 7 + -2 - -1 - -2. Suppose 1488648 - 251348 = p*c. Suppose -x + c = -8152540. Round x to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-1 + -1*sqrt(162) + 2)*3.\nAnswer: -135*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -1, 8, 0 in decreasing order.\nAnswer: 8, 3, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -42. Suppose -6*f = -2*f - g. Which is smaller: 11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svsssvyvsv. What is prob of sequence yssy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u + k = -76, -5*u - 184 = k. Let g = 216 - 248. Let x = g - u. What is the greatest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/68 - 32\/272.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 2 + 1 + 3*h. Suppose 9*b + 20 = -b. Let g(j) = -j. Calculate b*k(r) + g(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1266624, 2533225, 3799812, 5066379, 6332920?\nAnswer: 7599429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1871 (c) 0.2 (d) -5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 10*s**2 - 8*s + 35. Let b be k(-11). Solve 2*o - h - 4 = 0, 10 = b*o + 3*o - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5110259, 5110225, 5110191, 5110157?\nAnswer: 5110123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 354 (base 15) to base 7\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, c: 2}. Give prob of sequence cjc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x + 1. Suppose 4*c - 17 = -5*y - 6, 8 = 2*c. Give k(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 1, f: 3, s: 11}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3402 divided by 3.\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*r**3*s**2 - 2*r**3*s + 79338*r**3 - 3*r**2*s**2 - r**2 + 4*r*s**2 + 3*r - 762*s**2 - s wrt r.\nAnswer: 912*s**2 - 12*s + 476028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3 and (-5034)\/(-540) - (-4)\/(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*d + 18, -5*p = -4*d + 9*d - 30. What is the remainder when 33 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*y - 17, 7 = -0*p - 3*p - 5*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 99822, 98831, 97840, 96849?\n\"Answer: -991*v + 100813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b - 81. Let i be n(8). Let l(v) = 7*v - 12. Let r(w) = 112*w - 196. Let a(f) = i*l(f) + 3*r(f). Let k(m) = -31*m. Calculate k(a(z)).\nAnswer: 217*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -16716 greater than -15662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-18))\/((-45)\/(-1215))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0*l)**43)**(10\/11)\/((l\/(l**(-2\/7)\/l))**(-46)*(l\/l**(-1))**50) assuming l is positive.\nAnswer: l**(6416\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {i: 1, o: 1, b: 10, r: 7}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -5 (c) 6\/1481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a century in months?\nAnswer: 2040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 20396296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z. Suppose z = -4*l - 0*l + 20. Suppose 0 = -2*d - x - 4*x + 4, 5*d = l*x + 80. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4322*n**2 + 1377*n**4 - 5838*n**4 - 264*n**2 wrt n?\nAnswer: -107064*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*c - 3)*((-5 + 1 + 2)*(1 - 4 + 2) - 2 + 0 + 6) as s + x*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 517.8 - 522.8. Let p be (-1)\/(-3) - 2\/6. What is the third smallest value in p, 0.1, 8\/7, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-1 - 11) + (53 - 44)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1\/2 (c) 0.22 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 3:57 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10938031969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*n - 9*n + 116 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -127*u - 26. Is 21 a factor of z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 12*q - 1180. Let h be p(41). What is the highest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 8) in base 14?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 16*d + 9. Let k(w) = -2*w**3 + 8*w**2 - 5*w + 3. Let u be k(d). Suppose i + u = 13. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66*(408\/153)\/4\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148 * 912.\nAnswer: 134976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u. Suppose -4*r - 4*b + 23 = -9*b, -2*b = -r + 8. Let n(j) = -2*j**2 - 6*j**r + 9*j**2. Calculate n(z(x)).\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 414052.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 + 1780588?\nAnswer: 1780613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + n = 3*n + 448, 0 = -2*c - 5*n + 236. Let h = c - 111. Solve -3 = -t + h*f - 1, -4*f - 4 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3229, -6599, -9969, -13339?\nAnswer: -16709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**4\/24 + 5*d**3 - 34*d**2. What is the remainder when u(-16) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257801419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -14 + 14. Suppose 5*n + l = -0*l + 12, -2*n - 4*l = -12. Put n, -2, g in descending order.\nAnswer: n, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 1 + 3 + 0 + (-2*c - c + 2*c)*(2 - 4 + 0).\nAnswer: 7*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i + 3. Let c(d) = -3*d**2. Give p(c(g)).\nAnswer: -18*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-6))\/((-2050013)\/(-41944)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 59*t**2 + t**2.\nAnswer: 68*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -18*n**2 + 10*n + 24. Let j(h) = -35*h**2 + 18*h + 40. Give 11*b(s) - 6*j(s).\nAnswer: 12*s**2 + 2*s + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 200 and -1.3?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 121, 93, 63, 31, -3?\n\"Answer: -j**2 - 25*j + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60198406 is divided by 593.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2 - 3*g + 0 + 4*g - 1. Let c be j(4). Is 4 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1833*c**2\/7 - 3672*c\/7 - 12\/7 = 0. Calculate c.\nAnswer: -2, -2\/611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 17*h + 8. Let b be q(8). Suppose -2 = -a - b*a. Solve 10 = -4*c + a*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -772.51001488 plus -0.1?\nAnswer: -772.61001488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 66*a - 252. Does 4 divide c(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v - 3. Let m(p) = -50*p + 15. Let n(z) = 11*h(z) + 2*m(z). Is 13 a factor of n(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/48246 and -32\/8041.\nAnswer: 48246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t*t*(t\/(t**0*t*t))\/t*t)\/(t**(1\/3))**(-43) assuming t is positive.\nAnswer: t**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -62, -43, -4, 61, 158, 293, 472?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26751547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x + 0*x)*(-2 + 3 - 3 + (-3 - 3 + 4)*(0 - 3 + 1)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2. Let y(o) be the third derivative of -19*o**5\/4 - 107*o**2. Give y(g(j)).\nAnswer: -18240*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3057 - 3232 = 19*a. Let p = 764 + a. What are the prime factors of p?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 + 2*r**2 + 7*r + 9. Calculate o(-9).\nAnswer: 2295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1441074 and 37\/1921432.\nAnswer: 5764296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1375))\/(-1*sqrt(80)) + sqrt(1584) + 2 + 1*(sqrt(55)\/sqrt(5))**2.\nAnswer: 13 + 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/9)\/l)\/l)**(11\/4) assuming l is positive.\nAnswer: l**(-209\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = -4. Calculate the remainder when j is divided by (0 - -1) + 0 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70826 times 338?\nAnswer: -23939188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1876 = -923*v - 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/145 - 26\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faaafaffaf. Give prob of picking 1 f and 3 a.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-48 - -82 - 72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -605\/32 or -18?\nAnswer: -605\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*-0.034.\nAnswer: 0.00374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10 + 2 + (437060\/13)\/5.\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190190492 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 13*b + 4349. Determine w(-68).\nAnswer: 3465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 993, 993, 995, 999?\n\"Answer: n**2 - 3*n + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -9*h + 20. Let f = h + 11. Let t = f - 6. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2049586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -93.5. Which is the biggest value? (a) l (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*v + 0)*(-2 + 12 + 9) + (2*v + 2 - 2)*(0 - 1 - 1))*(0 + 0 + 2*v**4).\nAnswer: 68*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.4 times -31.2?\nAnswer: -511.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**4\/8 + 23*f**3\/6 + f**2. Let q(v) = -v - 8. Let a = -2680 - -2674. Give a*m(h) - 17*q(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) - (-1755)\/(-175). Let p = j - -66\/7. Which is smaller: -1.1 or p?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 e, and 2 l when four letters picked without replacement from {o: 1, q: 10, l: 2, v: 2, k: 2, e: 3}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35549632 a multiple of 502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 35*v - 560. Calculate j(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1 + (60 - 2). Let q = -35 + d. Let j be (-2 - 0)*q\/(-4). Solve f - j = s + 4*s, -3*s - 15 = -3*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 189*d**3 - 5013*d + 5013*d - 2*d**4 + 844*d**2 wrt d.\nAnswer: -48*d + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49188 and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by 108?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -64bcc (base 13) in base 8?\nAnswer: -543645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/15*(-6)\/(-4). Let y = -189.8 + 190. Let g = 8 + -4. What is the nearest to y in 0, x, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 + 90 + -9 + 1 + -28?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2475\/352)\/(-15))\/(15\/(-20))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**9\/40320 + x**8\/8064 + x**7\/5040 + x**5\/20 + 7*x**2. Let f(c) be the third derivative of n(c). Find z such that f(z) = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4360938547 to the nearest integer?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = f. Suppose 4*w + 148 = 140. Is f greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) + -1) + 2*(1 + sqrt(5)).\nAnswer: -2*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - 1 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 345 - -0.08135893029\nAnswer: 345.08135893029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - (60 - 67) - 54.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 5*k**2 - 3*k**2)*(14*k**2 + 6*k**2 - 9*k**2) + (0*k**2 - 5*k**2 + 4*k**2)*(183*k - 183*k - 444*k**2).\nAnswer: 466*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 318 + -312.94. Let c = -0.06 + x. Let g = 5.00311 - 0.00311. What is the closest to g in 4, c, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 3\/4, -9, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048361660 rounded to the nearest one hundred thousand?\nAnswer: 3048400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.042 - -0.948. Let y = -1 + h. Suppose 2*q = -2*i - 16, -3*i - 2*q = 24 - 3. What is the third smallest value in 0.3, y, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 294286, -2 in ascending order.\nAnswer: -2, 1, 294286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/13)*d\/d**(-15))\/(d**8)**(5\/8))**(-3\/25) assuming d is positive.\nAnswer: d**(-87\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1479222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -1\/60*o**4 + 1\/600*o**6 + 0*o + 0*o**3 + 0 - 2*o**2 + 1\/300*o**5. Determine q so that g(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 30*d - 123. Let b be k(9). What is the highest common factor of b and 5379?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - ((2 - -26) + 6 + 17 + -6)) + 6\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/35 - -2\/21. Let m(c) be the first derivative of -1\/20*c**4 - u*c**3 + 0*c + 1\/25*c**5 + 5 + 1\/10*c**2. Factor m(v).\nAnswer: v*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 3\/(6\/4). Let y = 8 - x. What is the greatest common divisor of y and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:22 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttllttlllttltlll.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 6. Suppose -2*x - 15 = -d*s, 5*s = 2*x - 0 + 21. Is s + -1 + 1 + 34 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11334122 (base 5) to base 7.\nAnswer: -616455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 7, -6\/5, 0.332, 5?\nAnswer: 0.332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*j - 357, 0 = 4*i - 0*j + j - 294. Suppose -y - m + i = -1463, 3*m = -3. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from gbxxgbvks?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 23.7. What is the fourth biggest value in -4, 0, 3, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45216 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: Suppose -4*k + 0*k = -20. Suppose -144 = q + 8*q. What is the lowest common multiple of 10 and (-2)\/1*(q + k)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490698 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3716 - -1.\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4)*(56*o - 264 + 264)*(1 - 4 + 4) to j + i*o and give i.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69523 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 1\/12*c**4 - 2*c**2 + 0*c**3 + 0 + 0*c. Let n(i) = 8*i. Calculate n(p(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -17.3336, -0.5 in increasing order.\nAnswer: -34, -17.3336, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -70.5.\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 7\/6*y**3 + 2*y + 2\/5*y**5 + 0*y**4 + 0 + 0*y**2. What is the second derivative of w(x) wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 273, 553, 831, 1107, 1381?\n\"Answer: -t**2 + 283*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 820800 and 4800.\nAnswer: 820800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)\/1 - 52. Let m = b + 51. Suppose -2*s - 4 = 2*s, m = -2*g - 3*s + 77. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, -16, -3 in ascending order.\nAnswer: -77, -16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Let r(z) = 16*z + 196. Let y be r(-12). Which is the closest to 3\/4? (a) 0.1 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 11*c**2 - 25*c - 13.\nAnswer: (c - 13)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d - 26*d - 48 = 0. Calculate the highest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*a + v + 14, -2*v = 5*a - 43. Suppose x + a = 4*x. What is the third derivative of x*m**2 - m**2 + m**4 + m**4 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1636176890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 238 = -20*a + 16*a, -5*a = -3*m - 311. What is the remainder when a is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((720\/(-297))\/20)\/((-4)\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 78533691685 + -143\nAnswer: 78533691542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2624059545.\nAnswer: 3, 5, 174937303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c. Let b be (-3 - 2)*(-18)\/150*5. Solve r - b = -c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/r**(-3\/4))\/r*r)*r**2\/r)**(-13)*r\/((r*r**(5\/2)\/r)\/r)*r*(r\/(r\/r**(-4)))\/r*r**(-4\/9)*r**5\/r*r assuming r is positive.\nAnswer: r**(-115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184200 is divided by 182786?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 + 4 = 0. Let d be (-1)\/(1\/y*2). Does 2 divide d\/(-6)*(14 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*2*sqrt(147) - sqrt(147)) - (sqrt(147) + sqrt(147) + 1 + 2)*4)**2.\nAnswer: 672*sqrt(3) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26226320 - -25?\nAnswer: 26226345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-24)*(1 - 7). Let j be (r\/6)\/(187\/(-204)). What is the second biggest value in 3, j, 0.2, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46340 + -46339. Let s(i) = 3*i**3 - 4*i + 4*i**3 - 2*i**2 + 5*i. What is s(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 6*c + 2. Suppose 0*n + 16 = 4*n. Let q be r(n). What is the lowest common multiple of (-30)\/40*(2 - q) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o = -336 - 812. Solve -5*g + 4*n - o = 0, -4*g = 4*n - n + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*p**5 + 409866*p**3 - p**2 - 22*p - 236488.\nAnswer: -160*p**3 + 2459196*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f**2 - 17*f - 23. Suppose 0*l + l = -6. Let j(t) = -4*t**2 + 6*t + 8. Let d(h) = l*y(h) - 17*j(h). Suppose -8*s = 9 - 4 + 11. Determine d(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.03 + 2. Let b = -3.938 + -0.062. Put c, b, 5 in decreasing order.\nAnswer: 5, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25084 divided by 25084.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*i + 3*z + 10, 3*z = -12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7aa5 - 2?\nAnswer: 7aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j*j*j**32*j*j))\/j)\/j**(-6) assuming j is positive.\nAnswer: j**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 584.8016 + -585. Let c = 145.2984 + r. Round c to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 2233702.\nAnswer: 2233701.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005003 rounded to six dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (35\/18585)\/((-2)\/(-12732))?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1431, -1414, -1373, -1302, -1195?\n\"Answer: t**3 + 6*t**2 - 8*t - 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 8 + 0)*12 - 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2 - 0) + -1. Suppose p = 4*i + 9. Calculate the common denominator of 15\/2 and i + 6*(-3)\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**4\/12 - 2*g**3\/3 - 172*g**2. Give y(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.109 - -97.891. Let g = -97.959 + j. Round g to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390 is divided by 1099?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 + 623*v + 11787. Calculate i(-22).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-3*sqrt(200)\/sqrt(4))\/sqrt(10) - (sqrt(10)\/sqrt(2) + -4 + 1)))**2.\nAnswer: -48*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.2, 0.3, 8, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -14. Suppose -4*w + 56 = -q, u = -2*q + w + 34 - 132. Let f = 69 + q. What is the highest common factor of f and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 781\/32, -3\/7, 0 in ascending order.\nAnswer: -3\/7, 0, 781\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20) + 1 - (sqrt(20)\/sqrt(4)*4 + 3) - (-6*((sqrt(125) - (sqrt(125) + -1 + sqrt(125))*1) + sqrt(125))*-1)**2.\nAnswer: -39 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6432 < 77185\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1324043123 (base 5) to base 2\nAnswer: 1100110001000011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 9922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/6*((-3)\/24 + 243\/216). Let w = -0.2 + 0.4. What is the closest to w in 0, -1\/9, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*i = 252, 4*q = -2*i - 2*i + 224. What is the least common multiple of 20 and q?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*d - 7, 2*s - 6*s + 414*d + 20 = 418*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 776075215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a factor of 91911915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3))\/y**(1\/4)*(y**(-1)*y)**38)\/((y*y\/(y\/(y\/y**0))*y)**41\/((y*y**5)\/(y**(-5\/3)\/y*y))) assuming y is positive.\nAnswer: y**(-461\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q - 160 = -30*q. Calculate the smallest common multiple of q and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from hdhdchaxlcaca?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d. Suppose 0 = 6*b + 14375 - 14429. Let v be 1*(-1)\/((-1)\/149). Let l(m) = 149 + b*m - v. Give h(l(o)).\nAnswer: 54*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -79 - (20 + (-4 - 20) + -17)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*g + 17 = 0, -n + 3*g + 3 = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 14, 5, -20, -67, -142?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*l + 724442 = 0, -l + 690760 - 2501917 = -5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147) - (-1 + sqrt(192)))**2 - ((-1 + sqrt(192))*-5 - sqrt(192)).\nAnswer: -1 + 46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqmmqsssmqqhmmqmqm. What is prob of picking 2 q?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6369, 25303, 56827, 100953, 157693, 227059?\n\"Answer: 2*z**3 + 6283*z**2 + 71*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*x - 173*x = -4*t + 136, 2*x - 22 = -t. Calculate the remainder when 8353 is divided by t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5 - 1\/5*n**5 - 33\/5*n - 6*n**3 - 46\/5*n**2 - 9\/5*n**4.\nAnswer: -(n + 1)**3*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51210*x - 6374*x**2 + 4 - 51131*x + 17 + 18 + 4 wrt x?\nAnswer: -12748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -6*n**5\/13 + 220*n**4\/13 + 2124*n**3\/13 + 432*n**2 + 2538*n\/13 - 4860\/13 = 0.\nAnswer: -3, 2\/3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305 and 13115.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x**4 - 3*x**4 + 8*x**4 + 2*x**4 + 0*x**4 - 3*x**4 + (-3*x**2 - 2*x**2 + 3*x**2)*(-2 + 2 + x**2) to t*x + k*x**2 + f*x**3 + b*x**4 + g and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2*t**3\/3 + t**2\/2 + 4*t - 25. Give s(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-19)\/((-38)\/4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(33))\/sqrt(3) - 1*(sqrt(77)\/sqrt(252) - sqrt(11) - sqrt(11)))*-3.\nAnswer: -29*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12610, -49281, -110394, -195949, -305946, -440385?\nAnswer: -599266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 7*i - 20 = 0, -49166*k + 49161*k = -2*i - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478812558.\nAnswer: 2, 37, 3583, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23507041?\nAnswer: 1049, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20005 - 64711 = -4*v - 2*i, 3*i - 63534 = -3*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/489 - -322\/489. What is the second biggest value in n, -1\/11, 81.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/3863331 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195 - -280. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 1061194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 19*n - 583. Determine i(6).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27615, -27613, -27609, -27603, -27595, -27585, -27573?\nAnswer: -27559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44945\/33 - -1361. Let x = -120679\/66 - q. Let g = x - -1786. Calculate the common denominator of g and 59\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2407817.85 and 0.\nAnswer: -2407817.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -350, -412, -474?\n\"Answer: -62*f - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-4)*4\/(-40)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 561240.\nAnswer: 561240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2 - 0) - (-552)\/253.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 16*o**2 + 89*o - 19. Calculate p(-7).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3\/3 + 3*m**2\/2 - 7*m. What is t(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:27 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z + 7*z. Let d be (-5)\/(-15)*z*3. What is the units digit of 3 - d - -52 - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**2\/2 - 4. Let i(p) = -2*p. Give k(i(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 2*j - 4*j)*(-6517 + 5378 + 6010) to v + b*j and give b.\nAnswer: -9742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = r - 3 + 11, -3*r - 2*m + 16 = 0. Suppose -12*p - r = -11*p. Let d(q) = 2*q**2 + q - 2. Let a be d(p). Let b(k) = -k**2 + 5*k - 1. Determine b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 98*q**2 + 3*q + 90. Give u(-49).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-20))\/((-2)\/(-20)). Suppose -3*r + 26 = -2*z, z - 6 = -3*r + g. Calculate the highest common factor of r and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 2. Suppose 5*b - 4*l - 10 = 0, -2 - 6 = -4*b - 3*l. Suppose 3 - 5 = -b*q. Let x be (q\/3)\/(1\/9). Let s(r) = 2*r + 2. Determine x*n(t) - 2*s(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43\/315 - -2\/315. Sort 1, 0.04, z in increasing order.\nAnswer: 0.04, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 7*i - 8. Let u be c(-5). Suppose -4 + 20 = u*j. Calculate the remainder when 17 + -15 - (0 - 10) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*s = -350*s + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209065?\nAnswer: 5, 11, 13, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 24, 5\/32 in ascending order.\nAnswer: 5\/32, 4\/7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and (-3)\/(21\/(-4))*98.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -598, -2\/105, -0.1, 167?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-2)\/(-1) - 2. Let v = 0 - p. Solve v*d = -4, 5*h - 2*d + 8 = 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.85 - 11.1. Let x = -7.58 - s. Round x to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, 2, 4, -2, 3, -22 in descending order.\nAnswer: 4, 3, 2, -2, -22, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*o - 7*o - 25 = 0, n = o + 2. Let t(p) = -5*p + 7. Let j(z) = 3*z - 4. Let i(f) = -5*j(f) - 2*t(f). Let g(s) = -9*s + 11. Give n*g(k) + 5*i(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 812, 1096, 1292, 1394?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u*u**(-1\/2)*(u\/u**(-4))\/u**(-1))\/((u\/((u\/u**(-1))\/u))**(-18\/5)*(((u**(-2\/25)*u)\/u)\/u*u)\/(u**(-6)*u)) assuming u is positive.\nAnswer: u**(379\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 6:06 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21839*b**4 + 14840*b**2.\nAnswer: -524136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -53.83. Let x = l - 0.17. Which is the third biggest value? (a) -0.4 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1210892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/46 and 23\/2 - 6\/(-16).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104887873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*k - 32 - 288 = 27*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*m + 26 = 8*m, 0 = 4*q - 2*m - 128. Calculate the remainder when q is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 8. Let y(s) = 2*s**2 - 7. Give -6*k(r) - 7*y(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from {y: 1, h: 1, f: 3, o: 1, e: 3, a: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/465*30\/(-12).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 3:33 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38997840*b**6 - b**4 - 3*b**2 + 7025702.\nAnswer: 4679740800*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 319 in 1, -5, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 44*q + 4. Let u be i(3). Suppose -f + 4*f - 4*x = 51, 3*x = 3*f - 51. Let k = f + 0. What is the highest common divisor of k and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 919*j - 5509. Let q be n(6). Solve -q*i + 3*c = -9, 341 = -5*i - 3*c + 332 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -127, -1396, -4845, -11572, -22675, -39252?\n\"Answer: -183*i**3 + 8*i**2 - 12*i + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13974 by 1.\nAnswer: 13974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.3 (c) -5 (d) -1 (e) -499\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10000010000011111111?\nAnswer: 10000010000011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3825362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-14))\/(6\/21). Let i = 4 + s. Let t be (2\/4)\/(4\/8). Solve 4*x + i = 4*j - 7*j, x = -t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {t: 1, z: 2, c: 4, y: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 483*c - 4352. Calculate q(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + 0 + sqrt(1539) + sqrt(1539)*-1 + -1)*3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 8*g**2 + 11*g - 11. Let k = 24 + -19. Let p = 13 - k. Is u(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*f**2*m**3 - 6108610*f**2*m - 6100*f*m**4 - 3*f*m**2 wrt m.\nAnswer: 60*f**2*m - 73200*f*m**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + 3*v)*(-18*v**3 - 13*v**3 - 21*v**3).\nAnswer: 52*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a**2 - 69*a + 54. Calculate the remainder when r(14) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 7. Let n = -10 + 9.6. Let t = 5.4 + n. What is the nearest to -1\/2 in t, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1339.64*-1380.\nAnswer: 1848703.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -2\/9 (c) -2\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 98*k**2 + 715918*k + 2614992769\/2 = 0.\nAnswer: -51137\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:52 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/30)\/(1647\/340380).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 4*(sqrt(2057) + -2*sqrt(2057)) + -1 + (sqrt(2057) + -2 + -5 - -1*sqrt(2057)*2))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 6 = -3*g - 20*t, -17*g - 45 = -2*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/45, 2\/13, -81, 0.\nAnswer: -81, -2, 0, 2\/45, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 7, 321, 4, 41, -5 in decreasing order.\nAnswer: 321, 41, 7, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 3124?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 493*s - 31015 with respect to s.\nAnswer: 493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414634 and 3208.\nAnswer: 1658536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkpp when four letters picked without replacement from {p: 15, k: 3}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 7*o**3 - 729*o**2 - 28*o + 2916 = 0?\nAnswer: -2, 2, 729\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - 21. Suppose 2*d + 5*c = -34, 3*c - 9 = 3*d - 0. Let a be 6\/21 + q\/d. What is the highest common divisor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 57842717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2507493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/(4\/48). Let c be (9\/q)\/(3\/30). Solve -10*g + 5*g = -c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 189. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -270 + 275. Suppose -z*i - 5379 = -4*v - 1483, 3*v - 4*i - 2921 = 0. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/9)*y**(-3\/4)*y)\/(y\/y**(-2\/5)*y)**(-4\/9) assuming y is positive.\nAnswer: y**(217\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 19 + 29)*(-2 - j**2 + 2).\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -29*j + 135. Let r(u) = -30*u**3 - 2*u**2 - u - 1. Let n be r(-5). Suppose -j*i = -i - n. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -48*q + 33. Suppose -4*s - 3*u = 1, 0 = s + 2*u - 6 - 0. Let k(o) = 3*o - 2. Give s*t(x) - 66*k(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.13 (b) -2 (c) 2\/1564623 (d) -0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -16 + 11 + -3 - -63 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544631831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1) + 44\/4. Suppose -3*m - y = -4*m. Let v(d) = -2*d**3 - d - 1. Let h be v(-1). Solve -m = 3*s + h*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1591 + 1596. Solve 2*b + 3*q - 6*q = -13, -b + 26 = m*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 - 2*y + 1. Let h = -1 + 6. Suppose -2*n - 4 = -6*n, -2*n + 7 = 5*c. Let f(b) = -2 + 1 + 5*b - c + 9*b**3. Calculate h*k(s) + 2*f(s).\nAnswer: -2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 1568 + 2*n - 4*n - 80.\nAnswer: -2*n - 1885","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 11*c + 16. Let r = 54 + -66. Let y be x(r). Suppose z + y*a = -24, 2*z + 3*a + 8 = -15. Sort 0, z, 4, -3 in decreasing order.\nAnswer: 4, 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 51*p - 3. Let h(s) = -68*s + 3. Let d(c) = 5*h(c) + 6*o(c). Let t(a) = -a - 1. What is -d(g) + 3*t(g)?\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27718316 divided by 116?\nAnswer: -238951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99598776 a multiple of 948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4200 divided by 140?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-226)\/((1 + 0)*-2). Suppose -2*n + 4*f - 49 = -3*n, -3*n + b = -5*f. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*x + 1836 = 225*x. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u**3 - 5*u - 2. Let k = 15 + -18. Let l(h) = -9*h**3 - 4*h - 3. Let r(g) = k*q(g) + 2*l(g). What is the second derivative of r(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*k**5 - 4*k**5 - 21*k**5 + (2*k**5 - 2*k**2 + 2*k**2)*(-2 + 3 - 3).\nAnswer: -54*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1894 and 947?\nAnswer: 1894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 162*v + 4374.\nAnswer: 3*(v + 54)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = 3*x, -12*x = -z - 4*z + 27. Which is the nearest to -7? (a) 5\/2 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -8\/37024221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecq when three letters picked without replacement from {r: 4, i: 2, c: 2, q: 2, e: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 9*j + 28. Let y be f(-12). Let n be 1\/5 + y\/20. Let w be (-1)\/(9\/6)*(-2)\/(-4). What is the closest to -5 in n, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -612, -610, -608, -606?\n\"Answer: 2*q - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/4 + 7*n**3\/3 - 3*n + 13. Give d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**6\/360 + t**3\/6 - 2*t. Let o(n) be the second derivative of m(n). Let k(l) = -l**2. Calculate k(o(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122713460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 10:58 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueuuuuuuuue. Give prob of sequence ueeu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*(-21)\/(-4)*177\/531?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j + j + 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49448 and 8176?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:39 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*k - 119 - 114, 3*t - 168 = -4*k. Let p = -76 - -45. Let m = p + k. What is the greatest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, j: 9, g: 1, n: 2}. Give prob of sequence njxn.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 598964 - 598709. What is the remainder when j is divided by 2\/(-4) - 87\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1156544 by 13.\nAnswer: 1156544\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 28\/(-7)*14\/(90048\/(-30504)).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 17. Let t be s(-9). Let w be t\/(-1) + 4\/(-2). Suppose 2*z - 30 = 78. Calculate the highest common divisor of w and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {d: 1, u: 1, b: 1, o: 1, g: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**4\/4 + 7*f**3\/3 - f**2 + 4*f - 5. Let a be d(-7). Suppose 3*c + a = 6*c. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -491.8948 and 311.\nAnswer: -180.8948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*s. Suppose 0 = -0*o - 4*o. Let l = o + s. Solve l = -3*d - 2 + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 45*l - 19. Let s be p(-23). Calculate the smallest common multiple of 20 and 290\/90 + s\/(-18) + 313.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 2*j + 7. What is the units digit of y(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2413\/9 + 269. Suppose 0*t + 2\/3*t**2 - a + 2\/9*t**3 = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12402.42 to the nearest 10.\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 108 = 8*m. What is the highest common factor of 44 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*v + 29*v + 64*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2640468 is divided by 8920?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/4 + 3*q**3 + 27*q**2\/2 - 14*q. Solve o(u) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a gram in milligrams?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 7.\nAnswer: -12, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/27 - 428\/(-18). Solve -c - i = -1 - 8, 4*c - h = -i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6308, -12173, -18038, -23903, -29768, -35633?\n\"Answer: -5865*r - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*s. Let f = 42 + s. Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (0 - -38 - (-294 + 291))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 10*i**2 + 7*i + 15. Calculate o(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -20.99986. What is h rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -4) + 20 + -11 + 10 - -73?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2282*u**3 - 2276*u**3 + 4561*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 5:45 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 17575 = -3*z, 1431*d - 2*z - 17572 = 1430*d. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110001101110 (base 2) in base 9?\nAnswer: 23188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5 + 185*q**4.\nAnswer: -5*q**4*(q - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e (base 16) in base 3?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 46. Suppose 0 = 3*f + 5*r - 10, -2*r + a = -4*f + 6*f. Suppose 0*b = s + 3*b - 1, -5 = -5*s - 4*b. Solve f*l = -s + 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17976.27 - 17989. Is o > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6096899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.12 + 8.32. Let x = 32 - 21. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4878828mg?\nAnswer: 0.0000000004878828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 + 5*h**2 + 14*h + 10. Let t be (-20)\/5 - ((-8)\/1)\/(-4). What is the hundreds digit of s(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57488 or -57489?\nAnswer: -57488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 8:50 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:28 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 - 9)*291\/(-5). Let x = -3199\/11 - b. What is the closest to -0.2 in x, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -67, 10, -10, 7 in descending order.\nAnswer: 10, 7, -3, -4, -10, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -486 (c) 132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 7:05 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18884*c**5 + c**4 - 593*c**3 + 42196995*c**2?\nAnswer: 1133040*c**2 + 24*c - 3558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -18. Let l = n - 14. Suppose 0*f - 2*f + 44 = l. What is the smallest common multiple of f and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - (9 - 7)) + 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15648100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 17*i - 24. Calculate s(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 46*n - 282. Determine c(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.07 from 0.1597656743.\nAnswer: -10.9102343257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2489208*v**4 - v**2 + 5363434*v?\nAnswer: -29870496*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 76 = 0. Let f be (1 + -4)\/(21\/14). List the prime factors of j\/4 + (-1)\/f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let l = 8.2 + -26.5. Let h = l - -18. What is the nearest to x in -3, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 2)*85\/(-15). Suppose -l = 5*r - 4, 2*l - 4*l - r = -t. Calculate the smallest common multiple of 6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*r**4 - 3*r**3 - 1246*r**2 - r - 2408497.\nAnswer: -1368*r**2 - 18*r - 2492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/10 + f**4\/6 - f**2\/2 + 2*f. Let p be x(-1). Let g(s) = -3*s + 3. What is g(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3727?\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.0118 (b) 1\/3 (c) 0.04 (d) -0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 5*z. Let g(k) = -2*k**2 - 6*k + 1. What is 2*g(c) + 3*n(c)?\nAnswer: 2*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3279 times -1901\nAnswer: -6233379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 10:43 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7357 is divided by 1454?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440338 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03709021344 rounded to 3 dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2021 (base 3) to base 12\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4732100 is divided by 395?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 4, 2, 6 in decreasing order.\nAnswer: 6, 4, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b - 2*b**2 + 3*b)*(-42*b - 85*b + 24*b) in the form s*b**2 + o*b + m + c*b**3 and give c.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66.4 and -3.01?\nAnswer: 63.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 1 - 1. Suppose 2425 = 5*w - 7*r + 2*r, j = 5*w + r - 2419. Suppose 8*s - 4*s = w. What is the remainder when s is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*k*k**4*((k**(-4)*k)\/k)\/(k*(k\/k**6)\/k) assuming k is positive.\nAnswer: k**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let d(s) = -86*s + 31*s**2 + 86*s. Calculate d(k(a)).\nAnswer: 31*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:43 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/500 and -49\/25?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0089 - 41.3089. Let p = w + 35. Let q = 6.7 + p. Which is the biggest value? (a) q (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4320310.8945393 + -0.4.\nAnswer: -4320311.2945393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -17*m - 1. Suppose -3*g + 3 = -0*g. Let j be z(g). Calculate the remainder when 10 is divided by 7*-1*j\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -124 + 156?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 9 - 11 + 10 + 3.\nAnswer: -j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2217 + -2215. Which is the third smallest value? (a) 0.3 (b) -15\/8 (c) h (d) 4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4)**31)**25 assuming d is positive.\nAnswer: d**3100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -15*(-154)\/(-70)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33*34\/8976*40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92 + (-24)\/3 + 21. Is v less than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*((-33)\/44)\/(9\/(-560))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3772, -3740, -3708, -3676?\n\"Answer: 32*z - 3804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22979, -22910, -22841?\nAnswer: -22772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-33))\/((-50)\/75).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 1469\/5*r - 338\/5 + r**5 - 1796\/5*r**2 + 542\/5*r**3 + 118\/5*r**4 = 0.\nAnswer: -13, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.13. Let x = n + -2.87. Suppose -5*k = 3*j + 13, -5*j - k + 5 = -6*k. Which is the closest to 2? (a) x (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 23467 = -51*t + 5*g, 6*t - g - 140988 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 728\/78*6\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgcvvgggcggucg. What is prob of picking 1 u, 2 g, and 1 v?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 3. Suppose -k + 36 = 2*k + 3*g, -2*g - 32 = -5*k. Let z(p) = k - 3 - 16*p + 14*p. Let a(q) = -9*n(q) + 4*z(q). What is a(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*m**2 + 84*m**2 + 2 + 26*m**2 + 94*m**2.\nAnswer: 255*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + 0.4. Let y = b - -0.2. Let n be (41\/18 + -2)*3. What is the closest to -2 in -1, y, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 778.\nAnswer: -3890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 21*x - 378. Let q be j(18). Suppose 5*u + 4*r + q*r = 3, 0 = -3*u - 3*r. What is the closest to -1\/4 in 0.4, 4, 5, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y + 320. What is g(58)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 2, d: 2, y: 1}. Give prob of sequence yzdz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 5*l**2 + 7. What is the smallest common multiple of 11 and g(-4)?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 508*x**3 + 5*x**2 - 18. Let h(k) = 254*k**3 + 2*k**2 - 8. Give 5*h(a) - 2*t(a).\nAnswer: 254*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 13) to base 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by -47\nAnswer: -218\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 3 + 3)*((0*m - 4*m + m)*(0 + 0 - 2*m + 2) + (17*m - 36*m + 15*m)*(-2*m - 3*m + 4*m)).\nAnswer: 20*m**4 - 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-52)\/(-65))\/(1\/5). What are the prime factors of 605\/(w + 1) - -1?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8713416 or -8713425?\nAnswer: -8713425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59972367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*d + 4*n, d + 14*n - 19*n - 25 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -111 - (1 + 0)\/(-1). Is ((-2)\/4)\/(1\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 759 + -631. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.948 - 0.052. Let r = -12 - s. Which is the second biggest value? (a) -2 (b) -3\/4 (c) -2\/11 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -11, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84 + 10*j**4 + 84 + (0*j**2 + j**2 - 2*j**2)*(0*j**2 - j**2 - j**2) - 2*j**4 + j**2 - j**3 - j**2.\nAnswer: 10*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2*t**3\/3 + 14*t**2 - 138*t + 1126. Calculate j(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 9. Let t(c) = c + 10. Let s(z) = 4*t(z) - 5*u(z). Let y(k) = 4. What is -4*s(i) - 5*y(i)?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 9 = 2*r, 3*y - 6 = 2*r - 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + 0?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*y - 93*y = -213*y + 301806. Does 69 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 44*p - 13. Calculate i(7).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = l - 2 - 7, 3*n - 36 = -4*l. Suppose 74*z - 492 = 8*z - 30. Suppose -z*j = -l*j + 24. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 18*p**2 + 21*p - 17. Let i be -6 + (2 - -26) - 1\/(-1). Let k be 0 + -1 + -3 + i. What is the units digit of g(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*8\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.874 + -1.50008. Round m to three decimal places.\nAnswer: 0.374","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) + 2765\/70 + -40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3543 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 65*z**2 - 6*z + 9. Let m be l(4). Suppose 5*k - m = 450. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 1260?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -110550, -442081, -994596, -1768095, -2762578?\n\"Answer: -110492*t**2 - 55*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 489*k**3*n**2 - 48*k**2*n**3 - 40*n**3 + n**2 + 1 wrt k?\nAnswer: 1467*k**2*n**2 - 96*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.09 and 30886.\nAnswer: 30886.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -91\/3. Let c = -4.24 + 4.44. What is the smallest value in -2, b, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**6\/60 - n**5\/20 + n**4\/24 + n**3\/6 + 28*n - 24. Let y(g) be the first derivative of i(g). Factor y(v).\nAnswer: -v*(v - 1)*(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12013302 - 10?\nAnswer: -12013312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026279.\nAnswer: 3, 114031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 14*p - 9. Let t be k(8). Let r = 13 + -3. Suppose -3*u - t = -r*u. Is u at most as big as -2\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from ryyynyrn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 34\/3*v**3 + 2*v**4 - 2*v + 21 - 6*v**2. Factor z(s).\nAnswer: 4*(s + 3)*(6*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*p - 12, -3*p - 21*r = -26*r - 18. Let o(s) = -8*s**3 - 7*s**2 + 14*s. Let z(k) = -7*k**3 - 6*k**2 + 13*k. Give p*z(f) - 5*o(f).\nAnswer: -2*f**3 - f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 447.\nAnswer: 14751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69*p**2 - 75*p**2 + 63*p**2 + 0*p**2 - 7*p**2 + 0*p**2 - 2*p**2 + p**2 + 0 + 2 + (1 - 2*p - 1)*(-3*p + 2*p - p).\nAnswer: 53*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-728)\/(-168) + ((-2)\/(-6) - (-8)\/(-12)). Suppose 0*d - 12 = -4*d. Solve 4*u - 29 = -3*b, d*u - h*b = u - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose -2*t = k - t + 3, 0 = t. Let g = 0 - k. Which is the third biggest value? (a) 2\/11 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35349.53102 + -17293.931. Let s = t + -18056. Let o = -0.4 - s. Round o to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 6. Suppose -7*a + 77 - g = 0. What is the nearest to -0.1 in 1\/3, 1\/10, a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9324, -9187, -8810, -8073, -6856?\nAnswer: -5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + -1) - ((-33 - -4) + 40).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-416)\/(-38272))\/((-1)\/(-4)).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17215 is divided by 492.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2702295.\nAnswer: 3, 5, 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13729*i - 14 - 5.\nAnswer: 13729*i - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 1. Let r(a) be the first derivative of 6 - 4*a**2 - 2*a**2 + 0*a**2 + 4*a**3 + a**g. What is the second derivative of r(i) wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/((-9)\/(-12)))*-16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*h + 14656 = 847*h + 84*h + 59416 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (4 + 1*sqrt(684) + 3)**2.\nAnswer: 84*sqrt(19) + 734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 58\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*p = 50, 2*j - j = -5*p. Let i = j + -23. Suppose c = 5*m - 138, 3*c - 120 = -5*m - i*c. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-187)\/(-220) - 2\/20. Suppose 2*n = 6*n + 4. Let x be 1 - -1*(-2 - n). Is x smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -2 + 6 + 1. Let x be (-20)\/(2*j\/(-16)). Suppose -5*u = 15 - x. Solve 2*z + 0 = -2*o - 6, 3*z - u*o + 17 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.5 times -0.4\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0 + -108)*-45. Let h(j) = j**2 + 5*j - 25. Let n be h(-8). Is n\/(3*(-3)\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 110*s + 71395.\nAnswer: -5*(s - 109)*(s + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4560 divided by -8.\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7438.\nAnswer: 2, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p - 83 = -5*t, 3*p + 71 = 4*t. What is the remainder when 180 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6002352989 and 16?\nAnswer: 6002352973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-129)\/165 + (-26)\/(-143)). Let b = 58 + -56. Sort l, b, -0.3 in decreasing order.\nAnswer: l, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -276, -845, -1922, -3669?\n\"Answer: -27*l**3 - 11*l**2 - l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241 a factor of 122459445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/104 and -51\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (129 - 0) + (1 - (-3 + -1)). Solve -3*n = -128 + x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011.6747 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -76836 to the nearest one hundred.\nAnswer: -76800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5261642 and 1727048?\nAnswer: 7318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.079435mm to centimeters.\nAnswer: 0.3079435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 7. Let j = o + 7. Solve j*r + 2*r + 11 = 3*h, 2*r - 2 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*j = 0, 2*p + 8 = -8*j + 11*j. Let q be 2 + p*5 + (-60)\/(-10). Solve 2*t - 5*r = 0, 0*t = t + q*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22154 is divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 21721.95120895.\nAnswer: 21724.95120895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*s**2 + 850959*h**2*s*u**3 + 2*h**2 + 987*h*s**2*u**3 + 5*h*u**3 - 1077*h*u**2 wrt h.\nAnswer: -2*s**2 + 1701918*s*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**2*p**2 + 4170*i**2*p - 95*i*p**4 wrt p?\nAnswer: 20*i**2 - 1140*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyszydzdyzzzzzy. Give prob of picking 1 y, 1 s, and 1 z.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12 and -41\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 14 in decreasing order.\nAnswer: 14, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/22 and (3*-2)\/2 + 25\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34 (b) -2\/15 (c) -0.3 (d) -129 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -67, -196, -449, -868, -1495, -2372?\nAnswer: -3541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/143 and 38\/156299.\nAnswer: 156299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ejeej?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 1 p when three letters picked without replacement from tpvdykpy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.15 + -68.15. Let m = -67 - i. What is the nearest to -0.2 in 0.2, 2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 58*k = -54 - 170, -2*k = 2*b - 8 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlr when three letters picked without replacement from hrrrrllrlhhh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 - 271. Suppose 5*d + 35 = q, 10 = s*q - 15. Which is smaller: d or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/sqrt(63))\/(sqrt(90)\/sqrt(5) - sqrt(2))*2.\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 - 25*x - 222. Let s(p) = -2*p - 1. Let c(a) = o(a) - 2*s(a). Let f(t) be the first derivative of c(t). Calculate f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from jyjyyjjjyjjyjjjjjy?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(320) + (-1*sqrt(320) - sqrt(320)))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 2*y**3 - 61 + 429.\nAnswer: -2*y**3 + 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (280\/80)\/((-2)\/(-4)). Solve -4*v = -5*z + i, 3*v = 2*z + z - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 30*p - 36 = 5*h, 4*h + 32 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 29 + 54*x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (90*u**2 - 126*u**2 + 97*u**2)*(103*u**2 - 111*u**2 + 71*u**2) as m*u**4 + q*u**2 + v*u + y + g*u**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 40613 = -40718. Solve -w*s = -21 - 42 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, k: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13246288 divided by -6\nAnswer: 6623144\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 73. Sort -2\/7, 3, 0, q in decreasing order.\nAnswer: 3, 0, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 46. Let f = x - 46. Suppose f - 8 = -p. What is the remainder when 38 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11956 to the nearest 100.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w - 33*w + 486 + 434 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 8*i**2 + i**2 + 4*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*f + 137*f + 2639 = 76*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7590 + -7574. Solve -2*r - 4*h = -5*r + l, 0 = -3*r - 5*h - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*16\/(-20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k + 4*m - 150 = 0, -98 = -2*k - 2*m. Let u = 54 - k. What is the greatest common factor of 28 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*p + 3*p - 7, p = 2*t - 13. Let i(j) = -j**3 + 7*j**2 - j + 9. What is the tens digit of i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 64632*y - 129248.\nAnswer: -4*(y + 2)*(y + 16156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*i + 4*i = 0, 5*i - 18 = -d. Suppose -d*y = y. Solve -u = -y*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*q + 14, 2*w + q - 6 - 5 = 0. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 7*s**2 + 5*s + 25. Let b be z(5). Suppose 64*m - 60*m - 8 = b. Factor 4*c**m + 1 - 7\/2*c - 3\/2*c**3.\nAnswer: -(c - 1)**2*(3*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31901 - -31905. Solve -90*u = -85*u - 25, -q*f = -3*u - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 10. What is the second derivative of -a*c**3 + 7*c**3 + 9*c + c**5 - 3*c**3 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5176.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = 5*p + 160, -2*p = -v - 27. Let l be (-36)\/24*140\/(-3). Let i = l + v. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121\/22)\/(22*1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17661.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16183 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3047235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 321815, 322061, 322305, 322547, 322787, 323025?\n\"Answer: -i**2 + 249*i + 321567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145096 + -48752401\/336. What is the common denominator of w and -41\/384?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a decade in months?\nAnswer: 3420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 810*i + 7917. Give z(-10).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(300) + -2 + sqrt(300) + sqrt(300) + -2*sqrt(300) + -1 - (-2 + sqrt(300) + 3 + 0)) + 0)**2 + -2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11 (b) -1\/8 (c) -0.389 (d) -23 (e) 0.4 (f) -0.41\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 479, 478, 477, 476?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -20d?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23\/2 + -65\/6. Determine t, given that -2\/9*t**3 + a*t + 0*t**2 + 4\/9 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 r when three letters picked without replacement from kkkwkbwrwrw?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 19*a + 2. Let v be s(-19). Let u(x) = 5*x - 22*x**3 - 1 + 5*x**v + 23*x**3 - 2. Is u(5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12568779 and 27.\nAnswer: 37706337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/12 + (1 - 28400914\/(-51)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/12)\/(s**(1\/6)\/s))\/(((s**(-2)\/s)\/s)\/s**(-9)) assuming s is positive.\nAnswer: s**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 + (-32 - (-2 - -1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-9) - (-1448)\/(-12). Let b = 117 + -139. Let w = b - d. Calculate the greatest common divisor of w and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/53 at least as big as -186\/581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7483*b + 7483*b + 37*b**2. Let m(p) = -p**2. Determine g(m(w)).\nAnswer: 37*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 11*t**2 + 10*t + 9. Is o(-10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-77)\/110 + 21\/(-70). What is the closest to 26 in 3, t, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2365597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.99 - -1. Let f be (-10)\/8 + ((-3)\/(-36))\/(2\/36). Which is the third biggest value? (a) f (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 2 in descending order.\nAnswer: 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -71.4. Suppose -2*q - 4*l = 2*q + 8, 0 = -4*q + l + 7. What is the closest to q in 3\/2, p, -0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21349 = -3*f - 5*p, 4*f - 11*p - 28504 = -8*p. What are the prime factors of f?\nAnswer: 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 4569 = y - 13*n, 3*y - 4*n = 13707. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/9 + 369457*d**2\/3 + 1108370*d\/9 = 0?\nAnswer: -1108370, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (3 + 0 + -25 + 26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (-14763)\/(-38) + 1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 18*z + 42 = 0, -5*r - 144 = 5*z - 249 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -22*1\/4*2. Let i = 11 - s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-1)\/1)*(-7730)\/4638.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 140 = -436. Suppose 4*j - x = -2*j. Let c be 13\/6 - 4\/j. Solve -20 = 2*h + c*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 9*h**2\/2 + h - 2. Let q = -3 + 6. Is r(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8390 + 6037 + 9723)*(-4*u - u + 4*u) as w + h*u and give h.\nAnswer: -7370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Suppose 4*v - 5*v + 13 = h. Let z = -5 + 13. What is the remainder when v is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 13, v: 6}. Give prob of picking 2 v and 1 z.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13180 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5010\/70 + (-6)\/(-14). Suppose n - j = -3*n. What is the lowest common multiple of (35742\/644)\/(((-3)\/36)\/((-2)\/9)) and n?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (41895\/42)\/21 - (-2)\/(-4). Which is the third smallest value? (a) f (b) -1\/6 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4 = 0, 2*y = -2*p - p - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26723 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*w + 57*w - 114*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6430 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1364489322 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7472, 7445, 7432, 7439, 7472, 7537, 7640, 7787?\nAnswer: 7984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82 - 5?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*n**3 - 49290503*n**2 - 972286513 wrt n.\nAnswer: -18*n**2 - 98581006*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 14*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 7. Let n(p) = 12*p - 8. Let a(k) = -11*k + 7. Let t(s) = d*a(s) + 6*n(s). Suppose x = 4*z - 0*z - 3, -z + 12 = 2*x. Determine t(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2adca + 1?\nAnswer: 2adcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:56 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394570 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -423\/2 + 211. Let z be (12\/(-28))\/(6\/4). Which is the nearest to w? (a) 3 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1081810694 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 10 - 2)*(0*q + 2*q + 0*q) - q - 4*q + 4*q + 0 - 2*q + 0 - 2 + 2 - q + (-1 + 1 + 2*q)*(3 + 0 - 4) - q + 3*q + 0*q - 2*q - q + 2*q.\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -22\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - ((-572)\/82 - -4). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k - 2. Let l = 134 - 50. Suppose -104 - l = -4*v. Let j = v + -49. Determine h(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 1456457838.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 12 = 5*v. Suppose 0 = -5*d + 5, -2*d = -3*y + 27 + 7. Suppose y = -3*c - 0. Which is bigger: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 682149672?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2049*d - 10087. Calculate i(-5).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 60 = 4*r. Let i be (-4)\/(-14) - r\/42. Suppose o + 2 = -m, o + 0*m + 2*m + 6 = i. Solve 3*n = o*n, 0 = 2*y + n - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 6*j**2 + 8*j + 9. Let b(p) = -p - 1. Let n be (-6)\/21 - (-44)\/7. Let z be b(n). Let v be l(z). Let k(y) = 2*y**2 - 2*y. Calculate k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/8 and ((-143)\/(-22) + -9)\/(199\/(-13))?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*v + v = -12, 0 = -4*i - 5*v - 35. Sort i, 377, 5 in increasing order.\nAnswer: i, 5, 377","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513309 is divided by 2139?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eew when three letters picked without replacement from {w: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19d (base 15) to base 7\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -15*y**2 - 13*y + 2. What is v(5)?\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(9 + (-551)\/57)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11283010 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 y(f) = -9*f - 1. Let q be y(-1). Suppose -w = -q + 10. Let s be (-27)\/3*w\/(-6). Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose 3*j - 25 = -m*j. Solve -3*i - s - 4 = 0, 5*i + s + s = -j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6474462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(744\/(-288)))\/((-40)\/(-90)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -43*d**3 + d**2 + d. Suppose 0 = 5*l + 5*h + 4 + 6, 0 = -2*l - h. Suppose 2*z = 24 - l. What is the remainder when m(-1) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(54) - 2*sqrt(54)) + sqrt(54))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + (2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/5 + 62\/5*a + 7\/5*a**2 = 0. Calculate a.\nAnswer: -9, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 14*p + 4. Let j be h(-14). Let w(g) = -g**2 - 409*g - 2814. Let d be w(-7). Solve b - 2 = d, j*s = 2*s - 2*b + 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636422 to the power of 1\/2, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 721933791 divided by -240644597?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3335777 greater than -3335781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110209?\nAnswer: 11, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/48 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 46.4. Let d = -4.9 - s. Let g be (-4)\/(-16) - (-4 - (-138)\/40). What is the closest to d in g, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3333? (a) 3 (b) -314 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/((-1024)\/24))\/(2\/48). Let d = -68 + 42. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81256.84 micrometers to kilometers.\nAnswer: 0.00008125684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55\/3104 or -6.7?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63267265619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40524 and 1.\nAnswer: 40524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30712 minus -283844?\nAnswer: 253132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33, 37, 41, 45, 49, 53?\n\"Answer: 4*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k**3 + k**2 - 30*k - 92. Determine x(-3).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/191 + 467\/17572. Do 1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) + 2\/(-8). Let x be (0 - b) + 9\/18. Let c be 1184\/144 + (-2)\/9. Is x > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1429*k + 120. Let o be n(-6). Let d = 6697 + o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 o, and 1 t when three letters picked without replacement from tjtjjro?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8410 - 8412. Which is smaller: h or -164\/3?\nAnswer: -164\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131304260 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0 + 0 - 2*z) - 20*z - 13*z + 25*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1700*(-1 + 2) + 1 + 0. Let x = 2400 - y. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-10)*r*r*r*r**5)\/(r**5\/(r\/((r\/(r\/r**(-4)))\/r))))**49 assuming r is positive.\nAnswer: r**980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145911 is divided by 160?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73030293 to the power of 1\/2, to the nearest integer?\nAnswer: 8546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37321445 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1308567840 by -261713568.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -243581 (base 9) to base 11\nAnswer: -a04a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m)*(-6 + 0 + 0).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -102.99516. Round s to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10987\/8 - 1373. Let h = 20 + -99. Sort h, l, 3 in decreasing order.\nAnswer: 3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 4*n**2 - 4*n**2)*(2*n - 4*n + n) + 0 + 0 - 7*n**4 + 4*n**4 - n**4 + 6*n**4.\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 3. Let c = 17 - 8. What is the lowest common multiple of f(c) and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 15*o**2 + 12*o - 197. Calculate w(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18\/319 - -16089\/3190. Find the common denominator of ((-1616)\/(-130))\/4 - 9\/(-45) and y.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 4*k**4 - k + 0*k**4 - 4*k**2 to the form x*k**3 + d + n*k**2 + z*k + u*k**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + 5*y - 50, 0 = -16*m + 10*m + 9*m + 16*y - 49 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - ((3 - -3) + -13). Suppose -10 = 2*v, 4*v + u = -4*m + 1. Solve 0*p = -m*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/528 and -139\/480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*m + 29, 5*d - 4*m = 141 + 4. Solve 37*z - 462 = -d*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 5*j + 48. Is 24 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 7*u - 3*u + (3 - 4 + 0)*(2*u + 3*u - 2*u))*(-1 + 0 + 2).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1104 = g, j = -9*g + 6*g + 3338. What are the prime factors of g?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350675.\nAnswer: 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7489 * 718.\nAnswer: -5377102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b - 6. Let q be x(14). Find the common denominator of 18\/18 - (q\/(-8) + 1) and 57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 9*c + 19*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**24)\/z)\/z)\/z*z**(-22)\/z*((z*z*z**(-3)*z)\/z*z)\/z**5 assuming z is positive.\nAnswer: z**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8803?\nAnswer: 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-21 - 0))\/((-3)\/2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*t**5 + 4*t**4 + 4008*t**3 - 148443*t**2.\nAnswer: 1020*t**2 + 96*t + 24048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 0)*2\/(-6). Let m = o - 4. Let d(q) = -q**3 - 5*q**2 - 3*q - 3. Calculate the smallest common multiple of 12 and d(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-1449)\/(-96)) + 4\/14?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2*b**3\/3 + 3*b**2 - 2*b - 2. Let k(s) = 2*s + 9. Let r be k(-7). What is the remainder when i(r) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -329 + 43. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -99\/2421418?\nAnswer: -99\/2421418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(4860) - sqrt(4860)*-1*5)\/(sqrt(768) + 3*(3*sqrt(768) - sqrt(768))).\nAnswer: -4 + 27*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57553930 rounded to the nearest 1000000?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2\/7 + 9*m\/7 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23841 is divided by 246?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 26 + 93)*(-4*x + 7*x + x).\nAnswer: 100*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 8 + -25 + 10 + 1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 13 = -5*w, 3*w = 48*f - 43*f - 33. Which is the fifth biggest value? (a) -0.09 (b) -14 (c) 6 (d) w (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-4)\/(-20) + 7\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/5764275 and 77\/1800.\nAnswer: 46114200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -273 and 312.3?\nAnswer: -85257.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + g**2 + 32*g + 33. What is o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2058\/833*17\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/330 and (-2 + 2 + (-2)\/(-120))\/((-88)\/(-372))?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1529399434 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 29*l - 21. Let i(j) = 3*j**2 - 33*j - 20. Let g(m) = -4*f(m) + 3*i(m). Calculate g(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 4*b + 0 - 1\/20*b**5 + 1\/2*b**4 - b**3 + 7\/2*b**2. Let d be j(5). Solve k + 20 = -5*g, -g + 0 = d*k - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 122. Let n = r + -58.7. Let y = n + -0.3. Which is the second biggest value? (a) 0 (b) 4\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -24. Solve -3*x = -2*g, 0 = -g + 4*x - 2 - o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.68783 to 3 dps.\nAnswer: -0.688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5380183 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b - 438c?\nAnswer: -43c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/60)\/w*w*w**1*((w\/(w*w*w**(-28)\/w*w))\/w)**(-11\/9) assuming w is positive.\nAnswer: w**(-5543\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - g + 500, -2*l + 5*g + 272 = 0. Suppose 4*f - 122 = -0*f - 3*u, -4*f - u = -l. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(684)*-1 - (-3*(1 + sqrt(684)))**2) + (-1*sqrt(684) + 4)*3*-5.\nAnswer: -6225 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -2\/9, 1, -1402, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95.99999893 + -96. Round r to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 367658\/21885 + 2\/4377. Which is smaller: l or 18?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 = 3*u - 997. Let v be (-1*1\/2)\/((-26)\/u). Let a(w) = 2*w**2 - 9*w + 18. Let s be a(9). What is the highest common divisor of v and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/5)*x**(-5)*((x**0\/x)\/x)**(-41) assuming x is positive.\nAnswer: x**(383\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzynzqnqyzq. What is prob of sequence zyzn?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 5*n, 0*n = 4*n - 14 + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -8. Let p = -3219 + 3219. Sort p, r, 4 in decreasing order.\nAnswer: 4, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68684*a**4 - 2*a**3 - 640*a**2 - 2*a - 102?\nAnswer: -1648416*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*v = -84*v - 68025. Suppose v = 4*z + 11*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2884619 (base 10) to base 3.\nAnswer: -12102112221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1152) + sqrt(18)) + 1*sqrt(72))\/(-1*-5*(sqrt(81) + sqrt(81)*3)).\nAnswer: -43*sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12168308683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*b - 545*b - 546*b + b**3 + 1669*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 339151427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 6. Let k be n(4). Let f = k + -2. Let l be f\/(-12) - 28\/(-51). What is the closest to -1 in 4\/7, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = d - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5984 - -5920) + (-1144)\/(-18)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 50551?\nAnswer: -10110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*q - 108*q + 17*q - 93*q.\nAnswer: -128*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 646690?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*j + 1346*j = 404*j + 465*j - 1216 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/3, -5, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7590.714 kilometers?\nAnswer: 759071400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + 7 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49312356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4749592 and 19090.\nAnswer: 23747960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*f**3*z**4 - 39*f**3 + 5*f**2*z + 3*f*z**2 wrt z?\nAnswer: 1356*f**3*z**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**2 + 1614*m + 9697. What is a(-6)?\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32517, -32237, -31961, -31689, -31421?\nAnswer: -31157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57876)\/5512*312\/(-40)*(-20)\/18?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from jfujujutuj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 4*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77070555.01699493 + -77069936.017. Let x = g + -619. What is x rounded to seven decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/7 - 414*t**2\/7 + 1228*t\/7 - 816\/7 = 0.\nAnswer: 1, 2, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 m when three letters picked without replacement from {m: 2, k: 3, j: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12*y**2. Let j(l) = -13*l**2. Determine -3*j(s) + 4*p(s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18536, -19648, -20760?\n\"Answer: -1112*v - 17424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2736) + -2)**2 + 3*(sqrt(19) - sqrt(57)\/sqrt(3))**2*6.\nAnswer: -120*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20455*x**3 - 1399*x**2 - 61637322*x?\nAnswer: 122730*x - 2798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 5*t + 2*t + 2 - 12680*t**3 + 12845*t**3 - 2*t.\nAnswer: 165*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319 - -316. Put -4, u, 91 in descending order.\nAnswer: 91, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*d - 60*d + 2*d**2 + 0*d**2)*(-5 + d + 5)*(3*d + d - 3*d) to r*d + y*d**3 + c*d**4 + i*d**2 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.3009\nAnswer: 1.2036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*y + 2*d - 42 = -488*y, 6*d + 30 = y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 177 = -l, -2*l + 324 = -4*q - 0*q. Find the third derivative of -l*x**2 + 3*x**4 + 5*x**4 + 0 + 124*x**5 + x - 10*x**4 + 0 wrt x.\nAnswer: 7440*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - o - 140 = -23*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 62 = -0*n + 3*t, -248 = 2*n + n - 23*t + 34*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 - (11 - (9 + (4 - 8)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 3, 0, 4, 3493 in decreasing order.\nAnswer: 3493, 4, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833 is divided by 825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-558)\/(-279) - (-1 + 24\/7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -28. Solve m*i + 3*q - 8 = 0, -5*i + 3 = q - 3*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 672480 and 1620?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 - 7*b - 11. Does 18 divide z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 484\/5 (b) 0 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 12. Let l be 36\/60 - 43\/5. Calculate d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:19 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -53520?\nAnswer: -5351a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 5*t + 8. Let b be g(-6). Let h = 41 - 41. Suppose -z + h*z + b = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 10*j**2 - 8*j - 1. Let c be s(-9). List the prime factors of (c\/2)\/((-2)\/18).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49366 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 + 1. Suppose 5*o - 2*g + 33 = 0, 4*o + 44*g = 49*g - 40. What is the third smallest value in o, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*l**2 - 12*l**2 + 118*l**2 + 198*l**2.\nAnswer: 385*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 35*q**4\/2 - 9475*q**3\/2 + 40155*q**2 - 52330*q - 18340 = 0.\nAnswer: -2\/7, 2, 7, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 22601.43 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -3*i + i. Let q be (204\/i - (-2)\/(-7))*3. Suppose 5*f + q*h = 35, -2*h = -f - 3 - 4. Solve -2*j = 2*c + 2, c + 0*c = f*j - 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.881375 minutes?\nAnswer: 592.8825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 65*z - 570. Calculate the remainder when 292 is divided by k(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -220\/189 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-113*t - 131*t + 231*t)*(5 + 3 + 0) to the form z*t + b and give z.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -532*b**2 - 38*b**2 + 2 + 873*b**4 - 3*b**3 - 871*b**4 as w*b**2 + f*b**3 + a*b**4 + y*b + j and give w.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4541 + 66?\nAnswer: 45a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -33*j**3 - j**2 + 5*j + 6. List the prime factors of l(-4).\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 3\/(-4) + 222\/8.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.3 (c) -0.4 (d) -0.2 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -0.26, 2, 44378?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/173728 and 13\/890356.\nAnswer: 7122848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-12))\/(4475\/16110)*(-4)\/(-198).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81784060 to the nearest integer?\nAnswer: 9043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 176?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 117839 divided by -6\nAnswer: -117839\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -j, -6*r = -r + 25. Let h = 8 + j. Find o such that -3*o + 13*o**3 - 11*o**2 + h*o**2 + 2*o**3 - 6*o**4 + 0*o**4 + 3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4055956647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -2c34b?\nAnswer: 2c344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -19 - 51. What are the prime factors of 1\/2*(3 + q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 35 = w, -2*x + 108 = 4*w + 22. What is the common denominator of -47\/798 and w\/(-230)*25\/(-8)?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15055082 and 51611.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.858 minus -4?\nAnswer: 36.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.4652mg in tonnes?\nAnswer: 0.0000001324652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 370501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10074, -20154, -30234, -40314?\n\"Answer: -10080*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24305, 24304, 24303, 24302, 24301?\nAnswer: 24300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152 is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 65, 12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.42 or -69?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/25*(-245)\/21. Solve -3*d + g*d = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 + 322*q**3 + 499*q**2 + 2*q - 1?\nAnswer: -24*q + 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v**2 - 10*v**2 - 33*v**2 - 31*v**2 + 10*v**2 - v - 9*v**2.\nAnswer: -43*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.3, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + x - 14 = -0*x, -n - 1 = -2*x. What is the remainder when 18 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1324288 divided by 128.\nAnswer: 10346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 14641*d**4\/2 - 190575*d**3\/2 - 201827*d**2\/2 + 3375*d\/2 - 7 = 0.\nAnswer: -1, 1\/121, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 5*z**4\/8 - z**3\/2 + z**2. Suppose -t = -4*t + 9, 3*m - 15 = -3*t. Does 14 divide k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 5*c + 0*c)*(-3*c**3 + c**3 + 0*c**3) - 10*c**4 + 0*c**2 + 7*c**4 + c**2.\nAnswer: -c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3\/3 + 19*u**2\/2 - 10*u - 3060. Give j(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 1. Suppose 0 = -2*x - 15 + 11. Let v(o) = -2*o. Calculate x*v(s) + 2*z(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 84560, -412 in decreasing order.\nAnswer: 84560, 3, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, i: 3, m: 4}. What is prob of picking 3 m?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 12:59 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-2)\/1 - -2) + 44\/220. Suppose 19 = 3*p + 4*u, 4*p + 4*u = -3 + 23. Which is the closest to 3\/4? (a) p (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + k)*(-23 + 34 - 89)*(9 - 13*k - 9).\nAnswer: 1014*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81609 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n + 5*n - 4704 = 0. What is the highest common divisor of 63 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/66)\/(14\/(-3)). Suppose -8 = s + 4*f, 0 = s - 5*f - 8 - 2. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 476*y**2 - 4*y - 19. Let f be p(-3). Calculate the highest common divisor of 91 and f.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12804.5 and -14.\nAnswer: 179263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 17458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 2*i**2 - 16*i - 12. Determine g(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/11 + 646*w**4\/11 - 1920*w**3\/11.\nAnswer: -2*w**3*(w - 320)*(w - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + -813*(-7)\/(-1680) and -73\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081437 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2. Let i(t) = -3*t**2 - 39. Let g(s) = 7*s**2 + 83. Let c(r) = -4*g(r) - 9*i(r). Give u(c(k)).\nAnswer: 7*k**4 - 266*k**2 + 2527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*y**5 + y + 10*y**5 - y + y**2 wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 1. Let t be q(3). Let x be (12\/5)\/(3\/t). Let a(d) = d**2 + 8*d + 2. Let h be a(x). Solve v = -3*l - 4*v + 13, h*l + 5*v = 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 131. Let j(s) = 3 - 1 - 12 + s**2 - 5*s. What is the remainder when r is divided by j(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (-3 + 2*sqrt(13)))*-4)**2.\nAnswer: -96*sqrt(13) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1140*j + 2265*j - 439*j**2 - 1125*j.\nAnswer: -439*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 197020559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 2 y when four letters picked without replacement from {q: 8, m: 4, v: 2, t: 2, y: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4368 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3 - 4) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -24*w + 27*w. Suppose 2*d - 93 = -3*y, w*d + 2*y + 0*y - 132 = 0. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h - 2*h - h)*(14*h - 4*h + 4*h) + (-3 + 0 + 1)*(-3*h + 3*h - 2*h**2) in the form o*h + u*h**2 + v and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -49. Let n(l) = -l**2 - 13*l + 6. Let r be n(o). Let h = r + 39. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)\/r**(-2\/5) assuming r is positive.\nAnswer: r**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 6:19 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 15*w + 9*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 121830*i**2 + 917*i - 3668. Let b(s) = 266*s**2 + 2*s - 8. Let o(v) = -1834*b(v) + 4*u(v). Let k(a) = 2*a. What is k(o(h))?\nAnswer: -1048*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3263 + 8716. List the prime factors of x.\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 5 - 7 - 8 + (0*n**2 + n**2 - 6*n**2)*(1 - 1 + 2*n) + 4 + 5*n**3 - 4.\nAnswer: -6*n**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 1:13 AM?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**3 - 6*x**3 + 2*x**3 + (-x**3 + x - x)*(1 + 2 - 4) + 6*x**3 + 0*x**3 + 6*x**3 + 2*x**3 - x**3 - 4*x**3 - x**3 - 2*x + 2*x.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4 + 7 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + -216. Let f be (-116)\/(-198) - (-44)\/s. Which is the closest to -5\/7? (a) -0.1 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8943953 and -6?\nAnswer: 53663718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 2 (c) -1961436\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 3*u - 3. Let w(j) = -3*j**2 + 12*j + 12. Let h(q) = 9*t(q) + 2*w(q). Let s be 1 + 1 + 8\/4. Is h(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4*(-750)\/210*-7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90.1636 - 1.6264. Let a = 221 - 312. Let n = b - a. What is n rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 7*m + 4. Let w be o(5). Let a = -133\/3 + w. Which is bigger: -0.21 or a?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*f - 25613*f**2 - 46*f.\nAnswer: -25613*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z, 5*z - 42 = -4*o + 2*z. Suppose -o - 12 = -8*j. Differentiate -7*s**4 + 9 - j - 3 + 12 with respect to s.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 31 = 21. Suppose 2*a - 14 = -2*o, -3*a + 4*o - 7 = -42. Let z = a - n. Is 0 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2*4\/32). Let z be (o\/(-8))\/((-2)\/4). Let h = 3.04 - 0.04. What is the nearest to z in -4, h, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 11*x**6\/720 - x**5\/40 + 5*x**4\/4 + 11*x. Let p(j) be the third derivative of t(j). What is the units digit of p(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 185.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/5 + 402*t**3 - 12134*t**2\/5 - 402*t + 12132\/5 = 0. Calculate t.\nAnswer: -1011, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/112*7 + 1 + 3082318\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21*28\/16)\/(7\/(-98))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n**5 + 0*n**4 + 0*n**6 + 1\/7*n**7 + 0*n + 0*n**2 + 6 - 4\/3*n**3. Find the third derivative of o(v) wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1429 in 1, -0.14, 0.3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 21 = -3*b. What are the prime factors of 51*(b\/(-3) - 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 7*p + 2. Let s(k) = k**2 - 7*k - 1. Let q(v) = 2*g(v) + 3*s(v). Let y be q(7). Let w be (-3)\/(-12) + y\/(-4). Solve w = 6*i - i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64056810 to the nearest integer?\nAnswer: 8004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((41\/26)\/41). Solve 0 = h + 6, 2*h + f + 2 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150095?\nAnswer: 5, 11, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:35 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 24. Let z be 60\/b*(6 + 2). What is the greatest common divisor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 197*n**2 - 956*n + 1127. Determine q(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y - 12*y + 3*y - 397.\nAnswer: -34*y - 397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1144 + -160. Let s = r - 2885\/3. Find the common denominator of s and (-12)\/14*(-175)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y = -44. Suppose y = -p - 4*z - 0*z, -2*p + 6 = z. Suppose 5*g = 2*g + l + 4, 2*l = -g - 1. What is the highest common divisor of g and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1638 and 3003?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17 = -3*v + 10, 2*j = -5*v + 31. Suppose 4*f - 3 = v. Let l(t) = t**3 + 2*t**2 - 4*t + 3. Let i be l(f). Which is smaller: 2\/5 or i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u**2 - 5*u - u**2)*((-59*u**2 + 120*u**2 - 48*u**2)*(u + 0*u + 2*u) + 0*u**2 + 2*u**3 + 0*u**2 + (-1 + u + 1)*(6*u**2 - 2*u**2 - 2*u**2)).\nAnswer: -86*u**5 - 86*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*x + x. Let u(y) = x*y + y**2 + 7 + 0*y**2 + 16*y - 35*y. Give u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:58 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 343 + -9. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6650.1ml to litres.\nAnswer: 6.6501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/29 or 2?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 33580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146.6181756 - -26985.\nAnswer: 27131.6181756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.449 + 39. Let b = o - -0.302. Round b to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(459)*-2 - sqrt(459)) + sqrt(459))*5)\/(-5*(sqrt(75)*-1 - sqrt(75))).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 44950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 divided by -8.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-13 - 5) + -5 + 3 + 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5566d + 9c?\nAnswer: 5572b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 443\/7 - 63. Let h = 2884 + -2884. Factor o*q**2 - 4\/7*q + h.\nAnswer: 2*q*(q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 12. Let d(n) = n + 21. Let t be d(-21). Let s = i - t. Calculate the greatest common divisor of s and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o + 21. Let m(k) = 7*k - 20. Let f(c) = 4*m(c) + 5*v(c). Let q be f(7). Calculate the highest common divisor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (0 - 7)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/444 and -7\/12196248.\nAnswer: 451261176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**6\/195 + f**5\/65 + f**4\/78 - 12*f - 9. Let i(n) be the first derivative of j(n). Suppose i(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -1.1. What is the third biggest value in -0.1, b, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13065 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12) + (sqrt(144)*-2)\/sqrt(12)) - (sqrt(1728)*-2*-4)**2.\nAnswer: -110592 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 0*l + 4*l)*(4 + 3 - 6) - 1183 - 92*l + 1183 as v + t*l and give t.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 19, -0.039 in descending order.\nAnswer: 19, -0.039, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212139 = -3*y + 3*j, -y = -2*j - 0*j - 70717. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-26)\/p**(3\/10))\/((p\/((p*p*p**(-12))\/p))\/p)**(-2\/37))**(32\/9) assuming p is positive.\nAnswer: p**(-152176\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-56))\/((-48)\/(-144)*1269\/(-6))*-4.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 2*t**2 - 1. Let b be g(-1). Suppose 0 = -b*m + 5*m + 25. Let a(s) = -s - 6. Calculate a(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3663 divided by 5.\nAnswer: 3663\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -14, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-10)*(-12)\/9. Let k = 1.62 - -2.34. Let q = -0.04 - k. What is the third smallest value in t, q, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2019561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23aa60 (base 13) in base 10?\nAnswer: -852007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-4334.\nAnswer: 4334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/1)\/4)\/((-17)\/(1020\/15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/298254 and -35\/71742.\nAnswer: 324202098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 11:05 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from quqquququuuuu.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + (-5)\/2)*(1 + 1). Suppose -n*j + 401 - 1 = 0. What is the lowest common multiple of j and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/4361 and -58\/2804123.\nAnswer: 2804123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40254467497 + 40254467528.210228169. Let d = f + 0.789773131. Let g = -32 + d. Round g to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeefgfj. What is prob of sequence ge?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1833*j + 13556 = 2683*j - 750 - 35370 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**3 + 0*w**3 + 6*w**3)*(2 - 2 - 5 + (11 - 8 + 10)*(-4 - 2 + 4)) as q + c*w**2 + f*w + h*w**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9678915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:37 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10677 + 10677. Let q = -0.8 - -0.6. Which is the closest to 0? (a) g (b) q (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107063086 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3 = 3*x. Suppose -6 = -0*c - x*c. Suppose -w - 1 = -c. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 13*a**2 - 6*a + 2. Let m = -3 + 5. What is the remainder when c(-6) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 4*r**2 + r + 1. Let j be g(-5). Suppose -3 = -2*o - 7, -d + o = -j. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 1\/59, 2\/19, -4, -71?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 753 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.395532 rounded to 2 decimal places?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 2*j. Let n(b) = -3*b**2 + 3*b. Let t = -1 + 3. Let p(c) = t*n(c) + 3*s(c). Let a(m) = 3*m. Give a(p(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1455191339 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1466 and -71\/212446.\nAnswer: 155722918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 43 = -p, 35*p + 226 = 39*p - 2*u. Suppose -246*c + 320 = -236*c. What is the remainder when p is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 323411134 - 0?\nAnswer: 323411134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -3, -5, -33 in decreasing order.\nAnswer: 5, 3, -3, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113856.\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -862791\/16 + 53925. Let t = 1746 - 31331\/18. Calculate the common denominator of t and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*n = -27*o - 111*n + 177, -5*n + 50 = 5*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -7*x + 23, x - 3*f + 6 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 4, -7 in decreasing order.\nAnswer: 4, -2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -20*c - 46. What is the remainder when 45 is divided by n(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -72027.\nAnswer: -4\/72027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 6912*d + 2985984.\nAnswer: 4*(d - 864)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0 - 44*s - 1\/6*s**4 - 87\/2*s**2 + 13\/6*s**3. Differentiate x(l) with respect to l.\nAnswer: -4*l + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -203 - -295. What are the prime factors of s + 0 + -3 + 3?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007537 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 2, q: 5}. What is prob of sequence pzz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 453 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:23 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61698 is divided by 447?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 2264.41ml in litres?\nAnswer: 2.26441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 537.12\nAnswer: 551.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -261*f. Let v(y) = -y**2. What is v(t(u))?\nAnswer: -68121*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 + 2.4. Let c = 6 - 3. Let w = -139\/423 + 5\/47. Put g, c, w in increasing order.\nAnswer: w, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(128)*2 + sqrt(128))*-3)\/((-2*sqrt(242) - (sqrt(256)\/sqrt(8) - sqrt(2)))*-6).\nAnswer: -sqrt(5)\/600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, -1\/7 in increasing order.\nAnswer: -10, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, i: 1}. Give prob of picking 1 i and 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36187 is divided by 156.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*(-10)\/4*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*g - 6 + 0 = 0, -10 = 2*g. Solve -3 = w - v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0*z**2 + 7*z**2 - z - 2*z**3 + 5 - z**3. Let t(w) = -5*w**3 + 13*w**2 - w + 9. Let a(p) = -7*i(p) + 4*t(p). Find x, given that a(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-9 - 22) + (22 - 5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26303439.\nAnswer: 3, 59, 173, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4549971 less than -19.01?\nAnswer: -17.5550029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**2\/2 + 1. Let b(c) be the first derivative of -c**3\/3 - 12. Give o(b(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/70096 and -69\/832.\nAnswer: 280384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 8, -5, 3, 1, 0.1 in decreasing order.\nAnswer: 8, 3, 1, 0.1, -8\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83045 + 6.5.\nAnswer: -83038.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-184)\/40 + (-4)\/(-10) + 4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 21*k**2 + 6*k. Let d(b) = 2*b + 1. Let j be d(6). Let n(m) = -8*m + 21*m**2 - j*m + 27*m. Let u(i) = -3*n(i) + 2*x(i). Factor u(s).\nAnswer: -3*s*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 96 = -4*a. Calculate the least common multiple of 2 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 467 + 64. Suppose g = -2*g + c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.4, 0.1, -0.5, 2\/11, 605?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -146, 2, -0.024, 0, 1, -9\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 6. Let z be g(-5). Solve -13*w - 4 = -z*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4701, -4700, -4701, -4704, -4709, -4716?\n\"Answer: -d**2 + 4*d - 4704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:07 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -290, -7, -2, 203, -3, 2 in descending order.\nAnswer: 203, 4, 2, -2, -3, -7, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 - 5*k**4 - 2*k**3 + 6*k**2 - k - 1.\nAnswer: (k - 1)**3*(k + 1)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17917*z + 27636 = -17353*z for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/45)\/(6\/(-198))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19291 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/952 and 13\/9520?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o**2 - 12*o + 267. Let k be v(11). Solve -5 = 5*t, -2*t + 3 = -3*n + k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 126. Suppose v - 3*z + 7 = 0, 3*v + f*z = -v + 14. Solve -v*r = -2*o + r, 0 = -5*o + 4*r - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4 - r**3 + 8*r + 26*r + 8*r**2 - 17*r. List the prime factors of h(9).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + o. Suppose -5*h + 23 = 3*p + p, 3*p - 5*h = -9. Suppose -4*t = p*v - 2, 3*t = 5*t + 2. Suppose -6*l = -v*l. Determine w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*u + 0 + 157*u + 0 + 165*u - 477*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -449*(-2 - -1)*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*d + 1479 + 5913 = 0 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 + 5553088*g**3 + 1927199187808*g**2 - 69384568455936*g + 624477309327936 = 0 for g.\nAnswer: -694154, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2753 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*i**2*m*z**3 - 2*i**2*m*z + 9289*i*m*z**3 + 9*i*m*z - 2*i*m + 283*i*z**2 + 2*z**2 - 3 wrt z.\nAnswer: -300*i**2*m + 55734*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90*5*40\/600.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 15. Calculate the remainder when h is divided by ((-46)\/(-6) - 1)*((-1460)\/(-100) + -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - r - 9. Let p be f(-4). Let m = p + -15. Suppose -185 = -m*j + 7*j. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-12 - (2 + -16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31854005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 10*d + 7. Give z(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 2037*q**2 - 341100*q.\nAnswer: -3*q*(q - 379)*(q - 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5425189176?\nAnswer: 2, 3, 11, 20549959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4220 - 4060. Calculate the least common multiple of d and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4270\/35899?\nAnswer: -4270\/35899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140894 and 46618.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6783781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 21378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from {h: 2, k: 2, v: 3, o: 2, p: 2, l: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 732, 1416, 2080, 2724, 3348?\n\"Answer: -10*i**2 + 714*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5 - 8*o**4 - 16*o**3 + 50*o**2 + 111*o + 54 = 0. What is o?\nAnswer: -2, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43643552 divided by 16.\nAnswer: -2727722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v**2 - 2*v + 3. Suppose 0*q = -3*q - 9. Let w be d(q). Find the common denominator of (-1)\/(-3) + (-46)\/w and 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -50. Is 45\/4 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 7*d - 5. Let x(z) = -z**3 + 4*z**2 + 4. Let v be x(4). What is o(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*f = 105*f - 1805 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -167 - -11?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22040 + -5?\nAnswer: -22045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 996, 3315, 7830, 15273, 26376?\nAnswer: 41871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 178db2?\nAnswer: 178db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5615093.\nAnswer: 11, 510463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 263710569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -4140?\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/4 + q**3 + 2*q**2 + 3*q - 5. Determine v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/47617 - -2237955\/1047574. Find the common denominator of z and (-59)\/50 - 4\/(-16).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 400, 404, 408, 412?\n\"Answer: 4*m + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - 10) - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 611 - 0?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -45. Suppose 4*t = -2*g + d - 6, -t + 2*g = 0. Find the second derivative of 6*j**2 + 9*j**2 + 4*j**2 - t*j + 35*j wrt j.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 - 5601*v**2\/2 - 2682873*v\/2 - 63618075\/2.\nAnswer: -3*(v + 25)*(v + 921)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 535.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179 + 179 - 167*j**3)*(20*j - 5 + 2 - 26*j).\nAnswer: 1002*j**4 + 501*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70, 272, 608, 1078, 1682, 2420, 3292?\n\"Answer: 67*p**2 + p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 2. What is the lowest common multiple of 4 and (14 - 3) + k - -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 + 1536*y - 1539 = 0 for y.\nAnswer: -513, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-236)*((-16235)\/(-132))\/(-17). Let q = p - -1\/472. Which is the third smallest value? (a) 31 (b) q (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 566 - 390. Let w = 5 - 0. Suppose 5 = -5*s, 2*r + 3*s - w*s = x. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**3*l**2 + 249*k**3 + 8*k**2*l**2 + 4*k**2*l + 3*k**2 wrt k?\nAnswer: 24*l**2 + 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7182 = -h. Suppose -5237 = -5*w - 5*y + 648, w = 4*y + h. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -12. Suppose 0 = -2*n + 2, 0*k - 7 = -k + n. Calculate the lowest common multiple of m and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4883004 and 891?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 1:07 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 10:41 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14667 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65008.88 weeks to microseconds.\nAnswer: 39317370624000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bznnzznbznnnnbnbz. What is prob of picking 3 n and 1 z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 7*n**5\/120 - 16*n**3\/3 - 14. Let x(i) be the third derivative of q(i). Let k(o) = -2*o. Calculate k(x(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -95849 less than or equal to -95343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11663 is divided by 8062?\nAnswer: 3601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*1)\/(4*(-4)\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a - 2. Let h be o(-2). Which is smaller: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5528*y + 11433 = -65959 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -28. Suppose c = -0*u - u - 1, 3*c - 18 = o*u. Does 9 divide ((-11)\/4)\/((-28)\/(-16) - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -149\/67 in -3, -2\/5, -0.14, 2.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10\/((q\/(q**5*q)*q)\/q*q))**(-49) assuming q is positive.\nAnswer: q**(-686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/7)\/r**6)**(-24))**(-13) assuming r is positive.\nAnswer: r**(-13416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + (-30 - (18 + -38))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*h - 15 = -84*h, 416 = -j - 80*h for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1410\/37403 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3760*0.1.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 107*m**2 + 119*m - 1387. Give p(106).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-178)\/(-8))\/((-13)\/(-52)). Suppose d + 23 = 4*z. Calculate the greatest common factor of z and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 294665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n**3 - 68*n**3 - 38*n**3.\nAnswer: -76*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -1119 in ascending order.\nAnswer: -1119, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Factor f*q**5 + 0*q**3 - 6*q**5 - 2*q**5 + 2*q**3 - 6*q**4.\nAnswer: -2*q**3*(q + 1)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + z - 9 + 2, -5*z = 5. Let u = -9 - -14. Calculate the remainder when h is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 88042*y - 88042*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -468.851 less than 8.7210943?\nAnswer: 477.5720943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a542 (base 13) in base 2?\nAnswer: 1111100000111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, 26221453 in increasing order.\nAnswer: 3, 18, 26221453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.126 + -30.16. Let x = n + -6. Let k = 0.134 + x. Sort -1\/3, k, 0, 1.\nAnswer: -1\/3, 0, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6332097024?\nAnswer: 2, 3, 11, 41641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -417*m + 5*m**3 + 417*m - 1410*m**2 - 23*m**3 + 1410*m**2 - 2 + 2*m**3 + 2 + (2 - 2 - 2*m)*(m - m + 2*m**2).\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 292806.36 to the nearest 1000.\nAnswer: 293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.5 take away 0.02?\nAnswer: 19.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254713268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/(-27)*-2*(-9945)\/(-2210)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d83 (base 15) to base 12.\nAnswer: 3873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from dddrrrrrrdddrrrd.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvrrvvrrrvvvvvvvr. Give prob of sequence vrr.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/10)\/(9\/18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48994896?\nAnswer: 2, 3, 53, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*l - l**2 - 4303 - 4289 + 8585 to the form h + p*l**2 + f*l and give f.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 278067593 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*y - 132 = 0, y = -3*y - 16. Let w be -2*(m\/(-10) - 3). Which is the nearest to w? (a) 2\/5 (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58934 = -2255*w - 1643*w + 96986 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 9810*c**3 - 2*c + 3. What are the prime factors of k(1)?\nAnswer: 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112442 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a day in minutes?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32660 and 110.\nAnswer: 359260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16*6\/(-24) - (-348998 - -2). What is l rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*r**5 - 2*r**4 - 4*r**3 + 4*r**2 + 70*r - 6 wrt r?\nAnswer: -1020*r**2 - 48*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 1.5 (c) -1 (d) -38 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7 + 29 - 14 - 6 + c. Calculate the least common multiple of 32 and f(10).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**28*p*p)**41)**(-2\/51) assuming p is positive.\nAnswer: p**(-2624\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 0 = -30*f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.8 - -0.2. Suppose 0 = -b - d - 4 - 3, -b - 15 = -3*d. What is the closest to b in -2\/3, k, 4\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -20. Let u = -2 - v. Suppose 5*z + 3*i - 28 = 0, 0*z + z = -u*i + 9. Calculate the smallest common multiple of 6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11154341 (base 6) in base 2?\nAnswer: 1010011011101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 44.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-5)*o))*o*o)\/(o\/o**(-2)))**(1\/6)*(o**10*o*o**2)**27 assuming o is positive.\nAnswer: o**(2101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.6908336 and 4?\nAnswer: -14.7633344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - 156. Suppose s*q = -0*q. Put 5, q, 20 in descending order.\nAnswer: 20, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1 - 14 + 20*g + 10 - 22*g. Let v(u) = 1. Suppose -k - 10 = -2*m, 0*k + 5*k = 3*m - 29. Give k*v(l) - z(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 6075.\nAnswer: -28\/6075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -73*c + 5750. Determine m(81).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 49*p + 183. What is b(-30)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22408*z + 22358*z + 2900. Solve -25*p - 165 = -z*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h*h**0\/h)*h*h*h**(1\/12))\/(h*h\/(h*h**(-6)*h)*h*h*h**(2\/3)) assuming h is positive.\nAnswer: h**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 88722 = -5*g, 2*g + 14*h - 35484 = 16*h. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677673 = -123*b - 228108. What is the highest common factor of b and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, h: 1, u: 1, e: 1}. What is prob of sequence qu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 + 171. Let m = -11 + 1. Sort m, v, 0 in descending order.\nAnswer: 0, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 284351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 + 137.2. Sort o, 0.11, 3\/5 in increasing order.\nAnswer: 0.11, o, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54040, 191087, 419498, 739273, 1150412, 1652915, 2246782?\nAnswer: 2932013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 456, 1, 4, 0, 3 in descending order.\nAnswer: 456, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -107*d**3 - 1. Let x be f(-1). Suppose -2*n + 5*m + 172 = 2*n, -x = -3*n - 2*m. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760749 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226226400 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/323000 and -81\/6800?\nAnswer: 646000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 1. Let j be h(5). Suppose 2*p + 0*p - j = 0. Suppose -4*r = 4*k - 60, 11 + 6 = p*k - 4*r. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 <= 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.99*-3.\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 6*r**2 + 3*r + 6. Let u be o(-6). Let f be -3*((-2)\/u*2 + -1). Suppose -2*t + f = -s - 1, -2*t = -6. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -411*v + 413*v - 4019397, -4019427 = -2*v + n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -1 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22915\/362 > 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -341935*p + 15. Suppose -4*w = 4*o + 104, -3*o - w = 3*w + 73. Let k be c(o). Round k to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 375 = 5*q, 2*q = 4*o - 0*q - 288. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 36 = -0*c. Let d = 11 + c. Factor 0 + 4\/5*h - 2*h**d.\nAnswer: -2*h*(5*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:20 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*a - 1 - 1, -4*a = 2*o + 2. Let v = o + -1. Let b = -0.064 - 4.936. Sort b, -0.4, v in increasing order.\nAnswer: b, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - p = -3, 3*w + 4*p = 2*w + 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 23*k + 531. Calculate s(24).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, and 1 r when three letters picked without replacement from {m: 1, v: 3, h: 1, r: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000025679949 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i - 2*i)*(-3 + 4 - 3) - 8654*i - 2628*i + 10 + 20 - 30.\nAnswer: -11280*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/(-2040))\/(((-12)\/10)\/(-2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175\/17 + 1576\/153. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*j**5 + 87*j**4 - 135441*j**2 wrt j?\nAnswer: 1200*j**2 + 2088*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 5) in base 4?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**3 + 2850*k**2 - 446085*k + 443230 = 0?\nAnswer: -698, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1414 - -2103221?\nAnswer: 2110140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040814029 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156429*f**5*m**3 - 6173*f**2*m**3 - 6*m**3 wrt f.\nAnswer: 9385740*f**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o + 2*o - 10*o in the form z + a*o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11*2\/4 - (-9)\/18\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -26117210601?\nAnswer: -26117210600.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2657*t - 34501. Suppose 0 = -2*k + 4*x + 40, -2*k = 2*k + 2*x - 80. Calculate the remainder when o(-13) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 + b - 11. Let f be s(-7). Let l = -4 - f. Solve -2*p + 2*t = -p - 2, -2*p - l = 5*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0*v + v - 8*v) + 5*v - 3*v + 0*v + 4 - 4 - 2*v + 1 - 1 - v + (-5 + 4 + 3)*(2*v - 4*v + v) - 6*v + 2*v + 2*v - 3*v + 3*v - 6*v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**3 + 0*v**3 - 3*v**3)*((4 + 2 - 3)*(-2 + 5 - 1) + 14 - 5 + 0 + (-14 + 18 - 27)*(-5 + 0 + 3)) to a + y*v + f*v**3 + t*v**2 and give f.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -45153 and 5\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -1008, -1483, -1948, -2403, -2848, -3283?\nAnswer: -3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.9153058 rounded to 0 decimal places?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/132 and -47\/27.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707\/12019*2\/(-5).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghhh when four letters picked without replacement from hhghhhhhhhhhhhhhhhh.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*132\/(-484)*11*(-1)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (4 - 4)) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 5*q + 5. Let h(s) = 2*s**3 + 3*s + 3. Suppose -3*v + v = 0. Suppose i - 4*t = -7 - 4, 2*t - 8 = v. What is i*h(r) - 3*g(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 2)*(r - 3*r + 0*r + (-3 + 2 + 3)*(6*r - 3*r - r) - 5*r - r + 5*r + 1 - 1 - 2*r) to a + b*r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161514653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -10222122020?\nAnswer: 10222122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-42))\/(-1)*(-156)\/(-117).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*g - 9*r + 14*r, 4*g - 8 = 4*r. Is 3 a factor of (1 - (-3)\/(-9))*(16 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6816 + 3*n - 3*n - 4*n**2 + 6884 to i*n**2 + y + l*n and give y.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by -44.\nAnswer: -51\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-54142)\/92*(1 + -1 - 2).\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, p: 2, s: 2}. Give prob of picking 1 g, 2 s, and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-18) - (-10)\/(-15). Suppose r - 516 = 4*q, 6*q - q + 4*r = -624. Let p be (1 - -3) + q\/28. Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1330*f - 66447. Give h(-50).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v**3 + 106*v**2 - 238*v + 19. Determine q(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -8. Let w = -1193 + 1194. Let a be (-4 - z) + w + 2. Solve -a*k = 3*k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 3*r + 3. Suppose -2*l - l = -6. Let f be m(l). Let q = -493 - -989\/2. What is the nearest to -1 in q, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4798412 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107705995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -28 + 2 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -21 (c) 14 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 - -150. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 72. Let y = 19 - 15. Let u = -0.2 - 1.8. Which is the closest to k? (a) u (b) y (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x**2 + 31*x - 9. Let c be a(4). Sort -4, c, -2, 8 in decreasing order.\nAnswer: 8, c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 2, r: 4}. Give prob of sequence rwl.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w - 6. Suppose -3*n + 4*y + 82 = 0, 3*y + 73 + 48 = 4*n. Suppose 6 = 2*d - n. Calculate the remainder when d is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23663*u + 18821*u - 9116*u - 2050*u + 21462*u.\nAnswer: 52780*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h*h*h\/h**2*h)\/h)\/h*h\/h**0)\/(h*h*h**(-1\/4)*h\/(h\/((h**4\/h)\/h))))**(-36) assuming h is positive.\nAnswer: h**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 p when three letters picked without replacement from {z: 16, p: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1162357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 21, 0, -200 in decreasing order.\nAnswer: 21, 0, -3, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**3 - 2484*s**2 + 4956*s - 2476 = 0.\nAnswer: 1, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.412698705 to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 18. Let f = -31 + 54. Suppose -k = -6*k + 4*i - f, -3*k = -3*i + 15. Which is greater: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1309075 is divided by 56.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.6827 + -1720711.\nAnswer: -1720741.6827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/154)\/(13\/(-52)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-239898)\/(-199915))\/((-3)\/(-2)*24\/75)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 7 - 5 = 0. Let l be (g - 4\/(-4))*(-20)\/15. Let b(p) = -p + 2. Determine b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.10997 - -1672.99003. Let k = f + -1750. Let h = -77 - k. Which is the third biggest value? (a) -0.05 (b) -5 (c) 3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606534900663 + -5?\nAnswer: 606534900658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 50. Let f be s\/4 - (-3)\/(-6). What is the units digit of ((-117)\/12)\/(f\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91651 (base 12) to base 6.\nAnswer: -4020141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2, -33*g + 36*g = 3*a + 276. Calculate the least common multiple of 12 and g.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 3:48 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/8 - (-16)\/(-64)) + 7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 6*o**3 - 2*o**3 + 6*o**3 - 7*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616633*-0.281.\nAnswer: -173273.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 422*l - 279.\nAnswer: 422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 27. Let k(g) = -g - 1. Let t(s) = -4*s + 4 - 7 - 2*s**2 + 7 + 5*s. Give o*t(x) + 3*k(x).\nAnswer: -2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 24. Let n(s) = -s - 1. Let v(p) = 8*p + 3. What is q*n(o) - v(o)?\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + l**3 + 2*l**3 + 3*l**3 - 4*l**3 + (l + l - 4*l)*(-3*l**2 + 4*l**2 + l**2) - 4*l**3 + l**3 - 10*l**3 as v*l**2 + h*l**3 + a*l + o and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-2 - -1) - -70. Let i be ((-3)\/(-6))\/((-1)\/(-20)). Calculate the highest common factor of i and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97779 is divided by 258?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + t + 1. Let o be (4 - 10) + 3 + 0 + 5. Suppose -3*f - 1 = -o*f. Calculate d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3*(-3)\/((-108)\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 26*i + 73. Let d(h) = h**3 - 24*h**2 + h - 19. Let b be d(24). What is the units digit of g(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2. Let v(o) = 37914361 - 37914361 - 145*o. Give v(f(d)).\nAnswer: 580*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2661142 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 523, 2156, 4883, 8704, 13619?\n\"Answer: 547*f**2 - 8*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/112 and 89\/3178252.\nAnswer: 12713008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -7*r**5\/10 - 7*r**4\/24 - 10*r**2. What is the second derivative of k(v) wrt v?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*c + 7 - 23 = 0, -3*p - 2*c - 11 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 12 = 4*l - 78, -27*l + 30*l + 230 = -5*j for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (0 + 2 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/503152 and -79\/5534672?\nAnswer: 5534672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14 - 3*l - 4*l + 15 + l. Does 7 divide f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 14 - 66. What is the greatest common divisor of d and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -749 + 675. What is i rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/24*12\/28?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = 0, -3*m + 0*n = 5*n - 21. Let y = -14.1 - -1.1. Let p = 19 + y. Which is the third biggest value? (a) -0.1 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.7, 2\/7, 14246 in decreasing order.\nAnswer: 14246, 0.7, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:37 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2171 + 3823. Is r a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1953*b - 7362 = 1935*b. Solve -b + 393 = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from gccgggc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + j**2 + 2 - 1 + 2*j**2 + 6*j. Let h(i) = -7*i**2 - 7*i - 1. Determine 5*h(f) + 6*m(f).\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*d + 75*d - 24*d + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 26*f**2 + 49*f + 19. What is the remainder when 299 is divided by s(24)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*b - 1118 + 5178. Is 127 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 64.00003. Round w to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 4*b - 3. Let r(c) = 2*c**2 + 5*c + 3. Suppose -4*d + 110 = -26*d. Calculate d*q(h) - 4*r(h).\nAnswer: 2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - -5) + (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 3*u + 10*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + v - 379 = 1280, 15 = -3*v. Let j be (q\/10)\/(4\/(-50)). Suppose 0*p + 4*p - j = 0. Round p to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-172)\/(-21) + -8)\/(10\/7). Which is the closest to -35? (a) -5 (b) 0.4 (c) -0.2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8218 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 23. Let f be ((-4)\/(-2 + 0))\/((-12)\/x). Is -15 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**2 + 2393. Let i(a) = 3*a**2 - 1. Give b(m) + 2*i(m).\nAnswer: -m**2 + 2391","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a - 2 + 4*a - 16*a - a**2 + 5*a in the form w*a + v*a**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196151262.\nAnswer: 2, 3, 283, 331, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/6)\/((-45)\/(-90)). Let m be 6\/(3 + (-4 - 1)). Which is smaller: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6*t + 1 = 0. Let i = -0.05 + -0.24. Let y = i + -3.71. What is the closest to -0.1 in 0.1, t, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2574540?\nAnswer: -1\/858180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 0*n**2 - 3*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.17478542 and 166.\nAnswer: 167.17478542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:07 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 2*d**2 + 2*d + 2. Let w be v(-2). Let y(l) = -l**3 - 13*l**2 + l + 10. Let f be y(-13). Put w, 2, f in descending order.\nAnswer: 2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 + -40 + 68 - -184\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/77*4\/6*(-35)\/100.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + -13. Let n = s + 38. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/9 - (-2)\/(-6). Let o = -20 + 38. Let y = -18.2 + o. Which is the third biggest value? (a) -4\/3 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 460459192*b**4 - 308597*b**2 - 291*b wrt b?\nAnswer: 11051020608*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - d + 4*d + (-4*d + 3*d + 3*d)*(2 + 4 - 4))*(15*d - 64 + 64)*(0*d**2 - d**2 + 2*d**2) in the form m + p*d + c*d**4 + v*d**2 + x*d**3 and give c.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/8 (b) -0.5 (c) -2 (d) 117\/17 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 39.6. Let l = 39.42 + w. Let o be (-1)\/2*-15*72\/2700. Which is greater: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -28.\nAnswer: -11\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-111904.\nAnswer: 111904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/11 - 4\/(1 - 3). Let b(j) = -j**3 + 4*j**2 + 3*j - 2. Determine b(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - 99. Suppose -5*m + 4 = -5*f + 29, -v*f + 21 = -3*m. Calculate the remainder when 16\/(-4) - (-168)\/f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4262 + -4?\nAnswer: -4266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 16 - -36 - 15. Solve -3*s - 53 = -g for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q - 37*q - 38*q + 3.\nAnswer: -53*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29912711057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 209, 452, 803, 1268?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*t**4 + 2*t + 23*t**3 - 23*t**3 + 0 in the form n*t**4 + l + d*t**3 + y*t**2 + p*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + v - 3*v + 3 - 82*v**4 + 79*v**4 as i*v + r*v**4 + d*v**2 + z + n*v**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11246\/523 or -23?\nAnswer: -11246\/523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t**2 + 4*t + 1. Let o be z(-2). What is the second smallest value in 0.2, o, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2 and 42*((-36)\/(-64))\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*v**3 - 97*v**3 + 22*v - 22*v.\nAnswer: -290*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 962915.1km?\nAnswer: 96291510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.4 - -0.4. Let v(n) = -2*n**3 - 11*n**2 + 2*n + 34. Let a be v(-5). Sort h, 1\/9, 0.4, a in descending order.\nAnswer: 0.4, 1\/9, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/5233, -4 in descending order.\nAnswer: 1, -2\/5233, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191\/20 - -39\/4. Is 1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/73, -4, 4\/7, -3, 5\/6, 5 in descending order.\nAnswer: 5, 5\/6, 4\/7, -5\/73, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 - 3*a + 5 - 4 - 1. Let w be d(2). Solve -2*b + w = 4*g - b, 0 = 5*g - 5*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93757\/5 + -18751. Put -2\/5, b, -2, 373 in decreasing order.\nAnswer: 373, b, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 4235 = -5*h - 10*l, -2*h - 3*l + 1689 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90957103*b**3 - 109369755*b wrt b.\nAnswer: -545742618*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g + 2791 - 2042 - 6*g + 3*g)*(-1 + 2 + 1).\nAnswer: 8*g + 1498","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3216683.01 to the nearest one thousand.\nAnswer: -3217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35451052 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + q + 381 = -190, 9 = -3*q. Is 71 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*i - 105 + 94 + 21*i)*(35*i + i**2 - 3 - 35*i).\nAnswer: -6*i**3 - 11*i**2 + 18*i + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*a - 3*h + 10, -4*a + 3*h - 19 = 0. Let l be (-8)\/(0 + -1 + a). Let q = 13 - l. What is the remainder when 17 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1078 - 1076. Let p(k) be the second derivative of -s*k - 1\/6*k**3 + 0 + 1\/2*k**2 + 5\/12*k**4 - 1\/20*k**5. Calculate p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90778091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8448?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y. Let l be 2 + 0\/(-1 + y). Let 6*w - 2 - w + 11*w**3 - 3*w**l + w**4 - 12*w**3 = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204000133.\nAnswer: 23, 41, 227, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 77*c**2 - 1096*c + 150. Give f(-58).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 = -t - 4, -4*t + 32 = 4*n. Let y(v) = v**2 - 5*v - 7. Let z(j) = j**2 - 4*j - 6. What is n*z(q) - 5*y(q)?\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186435?\nAnswer: 5, 237287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 5*f + 15. What is the derivative of 22 - 7 + 10*d**f - 6 wrt d?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -12 + (11 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042833764 to 7 decimal places.\nAnswer: 0.0004283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 4 + -8 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010727238435 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6134, 6133, 6132?\n\"Answer: -g + 6135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 2*l - 52. Solve -2*p + u - 1 = 10, -l*p - 25 = -3*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6 + 2*z**2 - 2 - 4. Let v(q) = 47*q**2 - 89*q**2 - 19 + 44*q**2. Give v(y(k)).\nAnswer: 8*k**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from vvyxxxyxvxxv.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 - 199. Let i = 129 + z. Suppose 5*c - i = -3*f, 4*c + 2*f = 6*f + 40. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**3 - 8*d**2 + 5*d - 1. Let t(m) = 11*m**3 + 23*m**2 - 14*m + 3. Let z(q) = 3*t(q) + 8*y(q). List the prime factors of z(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/3, 0.4, 1 in ascending order.\nAnswer: 0.4, 1, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 + 2*m**2 + m. Let x be o(-1). Let z = -37 - -35. Sort -3, 3, x, z in decreasing order.\nAnswer: x, 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -52, 16996 in decreasing order.\nAnswer: 16996, 3, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 328647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2205 + -5572. Which is greater: -3368 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 2. Let t = -91 + 95. Suppose -3*s - 35 = -5*b, -b - t*s = -4*b + 21. Calculate h(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -352 + 358. Suppose 10*l + 4 + q = 0. Suppose -2*j = 2*r - 4, -2*j + 6 = 2*j + 2*r. Put j, l, 5 in decreasing order.\nAnswer: 5, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/14*54\/(-1). Suppose -3*o = 5*f - 57, 3*o - f - 4*f - 57 = 0. Let c = r - o. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 - (-6 + 14 + 42 + -49 + (-2 - -9)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, i: 4, g: 2}. What is prob of sequence ggi?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.5 - -59.5. Let y = k - 114. Let g = 3651\/13 + -281. What is the nearest to g in -0.1, y, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -h - 4*p, -4*h + 4*p + 4 = -0. Suppose 2*t + 19 - 5 = 0. Let s(n) = n + 9. Let a be s(t). Solve 2 + 6 = -a*c + k, -5*k = h*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*q - 7*q. Solve h = -q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 27 = -v + 6*v, -v = -2*h - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -819*y + 830*y + 638. Suppose 2*c = -3*c + 405. Let j = c + y. What is the greatest common divisor of j and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from nrrnjrrtrjrrrrnrrrr.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, -2\/7, 1\/6, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 3*l + 3. Let k be v(3). Suppose 1 = -2*z - k. Which is greater: z or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 12*a - 14. Let y be w(14). Suppose -11 = -5*t + y. Solve -z - 1 - 1 = -4*c, -10 = -5*c + t*z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -496 (c) -8 (d) 28\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1344, -1340, -1340, -1344, -1352, -1364?\n\"Answer: -2*a**2 + 10*a - 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 7) in base 3?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072395 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 7*j + 7. Let m(g) = -g**2 + 4*g + 4. Let k(b) = -7*m(b) + 4*r(b). Let x(y) = -27*y**2. Give x(k(i)).\nAnswer: -243*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - (-25)\/(-9)) + 7\/(-252)*1124?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = o + 4, 2*o + 13 = -3*r - 0*o. Suppose 0 = -5*j - 3*x - 4, 5*x = -j - 38 + 24. Which is the nearest to 2\/5? (a) j (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-892)\/(-10) + 1\/(-5). Let k be (-1)\/4 - 988\/16. Let c = u + k. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377536.\nAnswer: 2, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 2*a - 15. Let d(p) = 2*p**2 + 6*p + 29. Let x(y) = -3*d(y) - 5*g(y). Determine w, given that x(w) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 2. Let h be x(0). Suppose o = h*j + 12, 2*j = -2*o + 1 - 7. Suppose 3*v + o*v = -5*r + 160, 24 = r - 3*v. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5175 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from ihfgg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/2 (b) 3 (c) 0 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.042884 - 0.04334783. What is l rounded to 5 dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*k - q - 3*q, 5*k = -2*q. Find the common denominator of (-89)\/(-12) - k\/(-4) and -101\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/27675 and 103\/24600.\nAnswer: 221400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -8*g**7\/105 + g**4\/6 + 35*g**2. What is the second derivative of h(s) wrt s?\nAnswer: -192*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 4) in base 15?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = -2*y, 3 = 2*y + f + 7. Which is bigger: y or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 13*f**2. Let l(h) be the first derivative of -7*h**3 + 46. Give l(v(w)).\nAnswer: -3549*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/((-9)\/(-72)). Let h = -4 - v. Which is smaller: h or 6\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13709374.6 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - d - 1 = 4, 3*d = -4*w - 15. Solve -3*u + 2*u - 2 = w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95406 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1949*c*m**2 - 772*c*m + 3*c - 158*m**2 - 52*m + 14 wrt c.\nAnswer: -1949*m**2 - 772*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpttthppph. What is prob of picking 1 p and 2 h?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = m - 29, 4 = -a + 1. Let s be 390\/m*(-2)\/3. Let o = s - -30. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2103 divide 61027158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 39\/(-21))\/(1\/(-7)). Let q be (20\/(-30))\/(8\/r). Which is the closest to 0? (a) -2\/15 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a**2 + 30*a - 5. Let w(n) = -84*n**2 + 156*n - 26. Let s(o) = 26*f(o) - 5*w(o). Let g(u) = -3*u**2 + 5*u. Give g(s(j)).\nAnswer: -1452*j**4 - 110*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 7*l**4\/2 - 25*l**3\/6 + 4*l. What is the second derivative of a(o) wrt o?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2574\/572*((-3)\/10)\/(18\/(-8))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -78950 (b) 158 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*f - 14, -822*s = 5*f - f - 823*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041416 rounded to 3 dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-5)*6\/(-42)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j + 481 = 556 + 469 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Let f(g) = -9*g - 160. Let z be f(-18). Solve -4*s - 4*b = -24, 1 = -z*b + l*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-490))\/(-3)*5153. Let x = s + 9\/49. Find the common denominator of 50\/3 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - 0.186. Let g = -1.326 - a. Let w = 0.3 - 0.1. Sort g, 0.4, w in descending order.\nAnswer: 0.4, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -52386637.7018.\nAnswer: -52386626.7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 56.\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8 + 81813*d - 61 + 12. Let m be r(-11). What is m rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1\/m)\/(((m**3\/m)\/m)\/m*m))\/(m*m**(-3\/2)*m\/m**(1\/9)))**(-34) assuming m is positive.\nAnswer: m**(425\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32119?\nAnswer: 32119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 182731*q**3 - 10 + 365458*q**3 - 182729*q**3.\nAnswer: -2*q**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 22*v\/3 - 203\/3.\nAnswer: (v - 7)*(v + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**2\/2 + 4*j + 5. Suppose -15 = 4*z + 25. Let k be -1*(-2)\/(-4)*z. Determine t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22120 (base 3) in base 2?\nAnswer: 11100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -46*r**2 - 6*r + 1. Let q(w) = -46*w**2 - 9*w + 1. What is -3*o(s) + 2*q(s)?\nAnswer: 46*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2\/5 - 1498*f\/5 = 0.\nAnswer: 0, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.9806*-28.\nAnswer: 83.4568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - -72) + (10 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 + 58*h - 80*h + 30*h + 22*h + 210 + 25*h.\nAnswer: -5*(h - 14)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 16*o**2 + 14*o + 17. Let c be s(15). Suppose -4*g - g - 173 = -3*b, -b = -c*g - 59. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -244 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77756?\nAnswer: 2, 7, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*sqrt(11)*1*5)**2 + (sqrt(891) - (-1 + sqrt(891)*-1 - sqrt(891))**2) + 1.\nAnswer: -1088 - 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is -5643 divided by -27?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8655 + 8652. What is the second biggest value in 0.063, -1\/7, 0.3, -5, q?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8*14\/4)\/1. What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 41.131, -4\/5 in decreasing order.\nAnswer: 41.131, -2\/13, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/3 - -1)\/(36\/(-76788))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2068*g + 591154 + 372*g**2 + 380*g**2 + 379*g**2 - 56576 - 1129*g**2 = 0.\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 31. Let i be 650\/(-35) - -1 - (-8)\/q. Let f = 94 + i. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4961485 to the nearest integer?\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374764 to the power of 1\/2, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 46. What is the highest common divisor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -4, 21 in decreasing order.\nAnswer: 21, 4, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/12*(-3200)\/(-19600)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.6 + -0.6. Let o = 8.926 - 9.1. Let r = o + -20.826. Which is the biggest value? (a) -4 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2640 and 2190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**2. Let b(z) be the third derivative of z**5\/30 - 11*z**4\/8 - 39*z**2. Determine b(x(a)).\nAnswer: 72*a**4 + 198*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 36879 = -24669. Let l = b + 15047. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98967667?\nAnswer: 1933, 51199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g)\/g**(3\/5))\/(g*g\/(g**(-5)*g)*g**(2\/11)) assuming g is positive.\nAnswer: g**(-593\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -2*h**3\/3 + 8*h - 2495. Let q(t) = -5*t. What is v(q(o))?\nAnswer: -50*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -600878?\nAnswer: -600877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -502 - -550.6. Let q = 49 - m. What is the nearest to -5\/3 in q, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1048, -5, 5, 368 in ascending order.\nAnswer: -5, 4, 5, 368, 1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 - -3) - (-336 + 317).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10*(-7)\/105*38)\/(4\/(-3)). Let v(g) = -g**2 + 12*g + 135. Calculate v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -54. Let f be (45\/(-6))\/((-2)\/4). What is the greatest common factor of f and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 970917*r**2*w**2 - 109*r**2*w + 198*r**2 + 7*r*w - w wrt w.\nAnswer: 1941834*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 7\/3 (c) -3\/2 (d) -20 (e) -18 (f) 1.6 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10*q + 5*q + 10 = 0, g - 3*q + 2 = 0. Let m(x) = 3*x**2 - 4*x - 3. What is the tens digit of m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 454*s**3 + s**2 - 2*s - 3. Let h be o(-1). Let g = h + 454. Solve 2*d + g - 5 = 3*n, -30 = 3*n + 3*d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 349263 and -1.331.\nAnswer: 349261.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 6)\/(1\/149) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(27) + sqrt(243))*1*-5)\/(sqrt(45)\/((sqrt(5) - sqrt(20))*-3)).\nAnswer: -75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 19*p**2 - 12*p - 4. What is the units digit of l(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 518 - 142. Suppose 0 = 4*y - 4*j + v, 2*y - 4*j + 183 = -13. Let c = y + 154. What is the remainder when c is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 157518, 314616, 471714?\n\"Answer: 157098*g + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -15, 6*i - 4*i + 9 = 5*x. Suppose x*t - 22687057 = 43312943. What is t rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 684*n - 206*n - 251*n to p + m*n and give m.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14935 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*t, -2*w - t = -0*t - 7. Differentiate 2 - 1 + 3 + 2*a**w wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, -9, -0.6 in increasing order.\nAnswer: -9, -0.6, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1656\/(-14))\/23*(105\/(-6))\/5 and 698?\nAnswer: 6282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*k - 108*k - 19 = 115*k + 2*l, 2*k = 7*l + 20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-2)\/(((-2)\/(-14))\/((-120)\/420)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 - 122. Suppose -3*b = -q, -2*c + 39 - 13 = 4*b. Sort 8, c, -7, 0 in decreasing order.\nAnswer: 8, c, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67960817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 1. Let g(p) = -7*p**3 - 4*p**2 - p - 2. Let s(q) = g(q) + 6*v(q). Let a be s(-4). Solve 0 = -2*w - 5*f - 15, -2*f + a = -w - 5*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84.5 + -83.5. What is the second biggest value in 1\/9, y, -5\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, o: 3}. What is prob of sequence uuuo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 3*x**2 - 2*x + 5. Determine a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -5.2, 1, 4, -1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -14.482.\nAnswer: -10.1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-three fifths of a millennium?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17466140 and 2397.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - a = -0*a, l - 18 = 4*a. Solve -10 = -l*v - 0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 m when three letters picked without replacement from {s: 4, i: 3, o: 6, f: 2, x: 4, m: 1}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2 + 354*d - 30968 = 0?\nAnswer: 158, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444.933602 rounded to two decimal places?\nAnswer: 1444.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7151900*v**2 - 8813729?\nAnswer: -14303800*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 5762 = -4353. Which is the second biggest value? (a) r (b) 2\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -c - l, c - l + 2 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from zuphcuhppuuuuphcpz.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-33)*s**(-1\/24)\/s*s**(-2\/35)\/s**(-15) assuming s is positive.\nAnswer: s**(-16043\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1977 + -1988. Let w(n) = -n**2 - 8*n + 26. What is w(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*((-1960)\/(-160) - 2\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15161, -30318, -45471, -60620, -75765, -90906, -106043?\n\"Answer: 2*f**2 - 15163*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:54 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -670945, -670947, -670949?\nAnswer: -670951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, 0*z = 5*j - z - 240. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y - 38*y**3 - 9522*y**4 + 4762*y**4 - 3*y**2 + 4762*y**4 to the form i*y**3 + q*y**4 + z*y + o + f*y**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211365908 to the nearest integer?\nAnswer: 14538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/144 + (-1184)\/(-9). Is -43*((-1)\/2)\/(6\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v*v**1)**(2\/5)*(v**5*v*v*v**(-4\/3))\/(v**(-1)*v**(4\/9)) assuming v is positive.\nAnswer: v**(172\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 5*o**6\/24 + 5*o**3\/2 + 18*o**2. Find the first derivative of p(w) wrt w.\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/1008*-36)\/(2\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -363 (c) -25 (d) -2 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v**2 + 3695*v - 10718. Give n(228).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0, 11, 4\/33, 206?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*v + 3117 = 0, -7*b + 9306 = -4*b - 3*v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/6 - 9\/(-2). Solve -9 - 11 = -t*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-186))\/(2\/(-3)) - 2804961\/(-33821).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3 + 1284*z**2 - 7642*z + 6360 = 0.\nAnswer: 1, 5, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 21*c + 16. Let l be i(19). Suppose -51*d + l*d = 249. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*r + 3*j, 3*r - 3*j = j + 17. Suppose 4*p - 164 = -2*d, 4*d + r*p - 102 = 211. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122111 + 1?\nAnswer: 122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907539.7 millilitres to litres.\nAnswer: 907.5397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) 5 (b) 4\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 56 (b) 5 (c) 3\/7 (d) -4564 (e) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1206 (base 8) to base 2\nAnswer: -1010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30685, 61370, 92057, 122746?\nAnswer: 153437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 72. Let o be y(-18). Let z = 0 + 0.1. Let s = z - 0.2. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8158 is divided by 204?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/10)\/(243\/135)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 + -5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {u: 1, k: 1, h: 2, x: 1, f: 1, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 21. Let o be z(-14). Let r(m) = 24*m**4 + 7*m**3 + 9. Let a(h) = -12*h**4 - 3*h**3 - 4. Let x(k) = o*a(k) + 3*r(k). Differentiate x(q) wrt q.\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63507 is divided by 174.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22397663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 97.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1611.26 and 259202.\nAnswer: 260813.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lflf when four letters picked without replacement from lgfoozzifglolo?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*b + 71 = -91, b - 112 = 3*r. Let l be (r + -2)*(-1 + 2 + -2). Sort 0, -3, -4, l in descending order.\nAnswer: l, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4697*o + 19. Let b be f(-5). Suppose 4*z = -t + 23513, -b = 3*z - 7*z - 4*t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -491 + 535. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11678*q**3 - 10*q**2 + 11*q - 1. Let m(c) = -c**3 + c**2 + 18*c + 19. Let g be m(-3). Is a(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4553, 9115, 13679, 18245?\n\"Answer: j**2 + 4559*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50 - -3)\/((-1)\/(-3)). Let n = r - -67. What is n rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 74*c - 1329. Give n(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.84 (b) -19 (c) -3 (d) 2\/17 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -509878, -509883, -509902, -509941, -510006, -510103?\n\"Answer: -v**3 - v**2 + 5*v - 509881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -5\/56, -0.2, 17, -1\/2, -0.01, -5?\nAnswer: -5\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14870296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*x, -n + 5*n - 2*x - 24 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -26.6\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 1)*(-5*y**3 + 0*y**3 + 4*y**3) - 50*y**3 + 469*y**3 + 147*y**3)*(4*y + 4*y - 5*y).\nAnswer: 1701*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14884 by 3721.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -20. Let i(s) = 3*s**2 - 15*s + 8. Let l be i(u). What is the units digit of l*4\/(-2)*(-34)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(-1*sqrt(4)) - sqrt(19) - (sqrt(19) + 0 + sqrt(76)\/sqrt(4)))*-2*6 + -4)**2.\nAnswer: -384*sqrt(19) + 43792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34540?\nAnswer: 2, 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*r + 20, 292*f = 297*f - 5*r - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 divided by 3?\nAnswer: 413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:18 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13804655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*c - 115 = 26, 0 = -3*c + 9. Let i = -672\/5 + r. Factor -i*n**2 - 2\/5*n + 0 - 1\/5*n**3.\nAnswer: -n*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1204*y**2 - 34*y - 109. Is b(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0 + 0*n + 0*n**4 + 46*n**2 - 1\/12*n**5 + 119\/6*n**3. What is the first derivative of j(g) wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 1, j: 1, e: 2, n: 4, b: 2}. What is prob of sequence jna?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40\/29 + 942\/725. Let g be (6\/(-5))\/(1 + 42\/(-30)). Let r be (-2 - -7)\/(-2 + g + 0). What is the fourth biggest value in r, 2, -1.3, o?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.36801453 to two dps.\nAnswer: 2.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55467475 or 55467466?\nAnswer: 55467466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4390799 (base 10) to base 11\nAnswer: -2529966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148202.\nAnswer: 2, 74101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921*x - 636*x + 16172 = -313*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26785 is divided by 2426.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -1\/17, -80, 0.3, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0.3, 0.13, 0, -1\/17, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/t*((t\/t**(2\/9))\/t*t)\/t)**(-34)*t\/(t**3*t)*t*(t\/(t*t\/(t*t*(t**4*t)\/t*t)))\/t*t**(-8\/3)*(t\/(t\/t**(-9)))\/t assuming t is positive.\nAnswer: t**(-2161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 4*y - 5. Calculate h(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1317925 + 188075. Round r to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 7503620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376476 is divided by 416?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 1. Let h(a) be the third derivative of a**5\/30 + 338*a**2. What is l(h(g))?\nAnswer: -6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002201232 (base 4) in base 14?\nAnswer: dcba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3020.737 + 3022. Let j = u - -23.597. Round j to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-12)*-2 - -2. Let c(y) = y**3 - 6*y**2 - 6*y. Let h be c(7). Let w(x) = x**2 - 6*x - 5. Let g be w(h). Is g at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((138\/(-24))\/(-23))\/((-3)\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 17. What is the remainder when 43 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose b - 8 = q, -4*q = b - 3*b + 24. Put q, v, -2 in decreasing order.\nAnswer: v, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -156744\nAnswer: 156743.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20328906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w. Let q(g) = -g + 3. What is k(p) - q(p)?\nAnswer: p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5a6 (base 11) to base 9\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let h(m) = 11*m + 5. Let t(v) = -2*v. Let w(r) = h(r) + 6*t(r). Calculate w(n(y)).\nAnswer: -y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 197 + 272 = 0. Suppose 3*q + 23 + 13 = 0. Let c(g) = -g - 1. Let i be c(-5). Sort d, 2, q, i.\nAnswer: q, d, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362.3597 rounded to 0 decimal places?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, e: 2}. What is prob of picking 4 r?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 10, i: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4. Let i be (-104622)\/(-7)*1\/p. Suppose 2*d - 4*o = 3796, i = 5*d + 4*o - 2031. What is d rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16347 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d + 4. Let z(f) be the third derivative of -f**4\/24 + f**3\/6 - 4*f**2. Let q(b) = 5*j(b) - 20*z(b). Suppose 0 = -5*n + 14 - 19. Give q(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 806*h**3 + 439*h**3 - 275*h**3. Let u be m(1). Calculate the common denominator of ((-2)\/60)\/(8\/u) and 23\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**6\/120 + 17*l**5\/60 + l**4\/24 - 5*l**3\/2 + 3*l**2 - 13*l. Calculate h(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 1, d: 1, k: 2}. Give prob of picking 1 w, 1 d, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**3 + 1183*h. Let l(v) = 5*v**2 + 5*v**2 + 4*v**2. Determine l(q(m)).\nAnswer: 504*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.36538 milligrams in micrograms?\nAnswer: 63365.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 + 3*l**2 - 8 + 0*l**2. Suppose 3*d + 19 = h - 6*h, -3*d = 2*h + 4. Suppose 2*r + 0*i - 4 = -2*i, -r = -d*i + 4. Give q(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(17) + -5)*-6.\nAnswer: 35 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 985897540 to the power of 1\/2, to the nearest integer?\nAnswer: 31399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175382 is divided by 35070.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1465 - 12\/(-3))\/(-1). Let l = p + -1018. Find the second derivative of 443 - 4*g**4 - 19*g - l wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) + (-11)\/(-4). Let t = 246 - 242. Suppose 0 = -t*q - 16, -4*q - f = 3*h - 2*h. Calculate the greatest common divisor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1248\/1728 + (-4)\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (sqrt(72) + (sqrt(72) - ((sqrt(72) - (sqrt(72) + sqrt(72) + -2)) + -2 + sqrt(72)))**2 + sqrt(72) - (5 + sqrt(72) + 2)**2) + 5.\nAnswer: -72*sqrt(2) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 6, 71, 0.1?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54738901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 10*d**2 + 17*d - 14. What is the tens digit of v(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 353 - 2782 - 1171 - v**2 to u*v**2 + p*v + y and give y.\nAnswer: -3600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 181 = -696. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 16325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.003 - 0.807. Let y = t + 0.7. Let n = 0.1100056 + y. Round n to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*sqrt(76)*3*4*5 + 3 + sqrt(76) + sqrt(76)*1 + (sqrt(76) - (-1*sqrt(76) + 0)) + -5)**2.\nAnswer: 9631936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1769 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2.8. Let v = r + 154.8. Let d = v - 154.27. What is d rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 0, -3*y - 651 = -3*n - 0*n. Suppose c + 75 = n. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-148)\/1980 + 44\/990. Which is the closest to 0.1? (a) 14 (b) 3 (c) -1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - ((-6*(1*sqrt(700) + sqrt(700)))**2 - sqrt(700)) - sqrt(700))*-5*-2.\nAnswer: -1008000 + 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 70*m. Let q(g) be the first derivative of 7*g**2\/2 + 224. Calculate -21*q(x) + 2*s(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x - 10, -4*f - x = -35. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ecc69aa - 0?\nAnswer: 1ecc69aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -14. Solve -3 = -o - 2*k, -4*o - k + 6 = -g*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c6 - -a3?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105381851*o**3 + 541*o**2 + 43*o + 13.\nAnswer: -632291106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - 7*z**3 + z**3)*(9 + 1 + 6).\nAnswer: -112*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11707, 12541, 13391, 14263, 15163?\nAnswer: 16097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3911*h = -3909*h - 16 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/25*6*125\/(-1200)*60\/(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 83*s**6\/30 - 23*s**3\/3 + s**2 + 41*s - 1. Find the second derivative of y(k) wrt k.\nAnswer: 996*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6596 divided by -4\nAnswer: -1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000090228022 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319891659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2591867\/3 + -1705453433\/1974. Let y = 2\/329 + c. Sort 4, -0.4, y.\nAnswer: y, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2936610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 15*f**2 - 5*f + 5. Let w(q) be the second derivative of 23*q**4\/12 - 4*q**3\/3 + 4*q**2 - 3*q - 97. Give -8*k(l) + 5*w(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101.5562772ns to weeks.\nAnswer: 0.000000000000167917125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 8*c**2 + 5*c + 6. Let z(t) = 0 - 4*t**2 + 27*t**2 - 14*t + 8*t**3 + 1 - 18. Determine 17*g(h) + 6*z(h).\nAnswer: -3*h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 48. Let g = 85 - o. What are the prime factors of g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 35 - 15. Let s = -1.029 - -4.029. What is the closest to 1\/4 in -2, u, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*p + p + 58*p = 0. Sort -4, p, 413.\nAnswer: -4, p, 413","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217402 < 2217403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 1375 = 1366 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 86. Let i = 275 - p. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((21 - 12)\/27)\/((-2)\/(-24)). Find the second derivative of 4*c**2 - d*c**2 - 7*c**3 + 89*c + 45*c wrt c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((36\/(-15) + 2)\/(-1))\/(738\/(-1845)). Let p(l) = -7*l**3 - 3*l**2 - 5*l + 5. Let k(o) = -o**3 + o**2 - o + 1. Calculate n*p(g) + 5*k(g).\nAnswer: 2*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5549343 - 2?\nAnswer: 5549341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555071745 to the power of 1\/2, to the nearest integer?\nAnswer: 39434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Suppose -l + 4*x + 18 = -0*l, -3*l = -5*x - 26. Let c(y) = -y**l - y**2 + 0*y**2. Calculate c(g(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, h: 1, g: 6}. Give prob of picking 1 g and 1 x.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = d - 5*a, 3*a + 5 - 20 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 2508?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -11*d**3 + 9*d**2 - 2*d + 2. Let h(o) = 5*o**3 - 4*o**2 + o - 1. Let z(x) = 9*h(x) + 4*p(x). Let c be z(2). Sort 1, c, 4, -4 in increasing order.\nAnswer: -4, 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(176) - (-1 + sqrt(176))*-3 - (-6*-2*sqrt(176) - sqrt(176))))*-2)**2.\nAnswer: 224*sqrt(11) + 34500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y + 9. Let d be o(11). Let z = d - -156. Let p = z + -138. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyllylllllllll. What is prob of picking 3 y?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v + 4. Let m = 4141 - 4138. Give w(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307479519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214110411 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**3 + 150*p**2 + 36*p + 27. Calculate f(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 784825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let v be y(0). Let q be (-6)\/(-39) - 232\/(-13) - 3. Suppose 0 = 2*t - 23 + q. Sort v, t, 1 in descending order.\nAnswer: t, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29120 divided by 3?\nAnswer: 29120\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898858727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*s + 991*s - 329*s - 326*s - 7*s**2 - 4*s**2.\nAnswer: -11*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j + 189*j**2 - 2 + 191*j**2 - 3*j - 379*j**2. Calculate h(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*d - 15*d. Suppose -2*m = -5*f + 3*m + 45, d = -3*f - 2*m + 27. Find the third derivative of 39*q**2 - 4*q**4 + q**6 + 4*q**4 - f*q**6 wrt q.\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2569893714 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 259431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 4422929?\nAnswer: 1\/631847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2*m - 6. Let t be x(-5). Solve -t = -5*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 685, 1370, 2053, 2734, 3413?\n\"Answer: -h**2 + 688*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1370, -401, 28 in descending order.\nAnswer: 28, -401, -1370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16992)\/528 + (-2)\/(-11). Let b(g) = 1 - 5*g**2 + 2*g + 2*g - 8*g. Let c be b(-3). Is c at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:25 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2455, -2978, -3503, -4030?\nAnswer: -4559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -70, 3 in increasing order.\nAnswer: -70, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8698961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + 31. Round v to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**2 - 9*t + 1. Let n(z) = -7*z**2 + 8*z - 1. Let u(m) = -7*n(m) - 6*r(m). Let u(d) = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.629344 years in months?\nAnswer: 79.552128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f. Let y(a) = 13212*a**2 + 1. Give y(h(i)).\nAnswer: 13212*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) -1.7 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22403, 22404, 22405?\nAnswer: 22406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1860043 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 30 = 2*o, -2*o + 2*v + 2*v = -36. Let k be o\/2*1\/3. Factor -3*t**5 + t**2 - 3*t**4 - 24*t + 0*t**2 + k*t**2 + 6*t**3 + 9*t**3 + 12.\nAnswer: -3*(t - 1)**3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -57*g - 74. Determine b(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 51.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b3 (base 12) to base 14.\nAnswer: -5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(6*-1))\/((-15)\/((-11340)\/28)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 20. Let d(z) = z**2 - 2*z. Let j(x) = -3*x**2 + 5*x + 1. Determine k*d(h) + 2*j(h).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110 (base 2) in base 9?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 1 - 1 + 12*b - 8*b**2 + 5*b**3 + 2. Suppose -5*u - 10 = 0, -22 = -3*q + 5*u + 6. Let j be n(q). Solve 0 = -x - 0*x + j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*q - s + 30, 5*s - 37 = -3*q. Suppose -3*c - u = -q*u - 63, 0 = 3*c + u - 43. Suppose -3*k + c = k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.451 + -1.549. Let v = -4 - -6. Which is the biggest value? (a) -1 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 12, -5 = 4*q + 3*k - 1. Factor w**3 + 2*w**3 - w**2 + q - 6*w**3 - w**4 + 3*w.\nAnswer: -(w - 1)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 6. Let i be u(-4). Let h be i\/105 - (-538)\/15. Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, 1\/7 in descending order.\nAnswer: 4, 1, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(0*a - a + 3*a - 16).\nAnswer: 2*a - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51416 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5162.\nAnswer: 2, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) -0.11 (c) 0.28 (d) -0.06 (e) -2\/643 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5527 - 26657?\nAnswer: -34406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.1. Let z = 29 - 34. Let k = z + 13\/3. Put -0.4, c, k in decreasing order.\nAnswer: c, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = -3*r + 35, r + 4*h = -11. Suppose -4*i - 25 = -2*n + r, i - 31 = -5*n. Let u(j) = 16*j - 16. Is 9 a factor of u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/2 + 4*k**3\/3 + 11*k**2\/2 - 916*k. Let a = -10 - -5. What is the hundreds digit of g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4\/6 - 971*d**3\/3 - 4864*d**2\/3 - 2271*d - 1947\/2 = 0.\nAnswer: -3, -1, 1947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 51?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/15 - 3002*h\/3 + 210532\/15.\nAnswer: -2*(h - 14)*(h + 7519)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 z when three letters picked without replacement from {k: 5, z: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 98*o - 4. Let v be s(0). Sort -8, v, -3.\nAnswer: -8, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**14\/(d**0*d) assuming d is positive.\nAnswer: d**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 104459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*k - 10*k + 518*k to j*k + w and give j.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935943 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 192 - 15*h - 20*h - 16*h - 21*h + 73*h in the form k*h + z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 - 553 = 8*b - 764 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4.6 (b) 2 (c) 287 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 363014664 to the power of 1\/2, to the nearest integer?\nAnswer: 19053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 0 - 1\/9*j**5 + 0*j - 2\/9*j**2 - 4\/9*j**4 - 5\/9*j**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**4 - 3*b + 2028*b**2 - 3*b - 13*b**5 - 250*b**5 + 6*b wrt b?\nAnswer: -15780*b**2 - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/36 - (-1)\/4. Let i = 2 - n. Suppose -g = i*g - 633. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144607127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2686, 1970, 1254, 538, -178, -894?\n\"Answer: -716*d + 3402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 72.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6343231*b*l**4 + 3981*b - 34 wrt l.\nAnswer: 25372924*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40848 - 18336. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/5839 or 1?\nAnswer: -8\/5839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2352858655495 and 0.4.\nAnswer: 2352858655495.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 - -226.1.\nAnswer: 227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68*z + 820*z - 353*z)*(-4 - 2 + 4) + 14*z - 7 - 10*z - 3*z in the form x + g*z and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 1. Let r be b(1). Suppose -3*d + 4*w + 22 = 2*d, -w - 3 = 0. What is the third smallest value in d, 0.3, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - -79. Let n = 17153 - 17107. What is the remainder when s is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 4*a**4 + 2*a**2 - 13. Find the second derivative of n(m) wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -72. Suppose 0 = 2*g, 2*g - 411 = -h*q - 139. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -24*o + 109. Sort 0, o, 117 in increasing order.\nAnswer: 0, o, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 9*y = 18. Let i be 26\/8 - 1\/4. Suppose 0 = y*w, z + i*w - 1 = 1. Let m(n) = -n**3 + 3*n**2 - 2*n + 3. Determine m(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*x**2 - 119*x**2 + 61*x**2.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/127075 and 197\/1994100.\nAnswer: 25923300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -4 (b) -111 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - 13*g - 6. Determine u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/1 - 2)*(-6 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310757181 to the power of 1\/2, to the nearest integer?\nAnswer: 17628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3539 divided by 2.\nAnswer: -3539\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31153 (base 6) in base 15?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(320))**2 + sqrt(5) + sqrt(35)\/(-1*sqrt(7)) + sqrt(5) + sqrt(10)\/sqrt(2) + -4.\nAnswer: 2*sqrt(5) + 5116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 3 + d**3 - 4*d**2 - d**3 - 5*d. Suppose 0 = o - 2 + 3, 5*l = 3*o + 28. What is the units digit of j(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5572289218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 13) to base 5\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 10 - (-40 + 19 - -13)) + -12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*w - 161*w - 24778 = -2587 + 9867 for w.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 11*a - 7*a = 41 + 43, 2*i = -6*a + 126 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhghhgggggghgghghg?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose 2*s = k*o + 20, -5*o + 2*o - 14 = s. Is o\/27 + 600\/27 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/3 + 6*j**4 + 4*j**3 - 32*j**2\/3 = 0. Calculate j.\nAnswer: -8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7511\/96570*6\/(-14))\/(4\/50)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -368.5 - -369. What is the second biggest value in 2, p, 0.068, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 22685.\nAnswer: 22683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c. Let s(h) = 2*h - 7. Let o be s(5). Suppose 3*k + 6 = -0*k + o*y, 4*y = 5*k + 8. Let q(t) = k*t**2 - t**2 + 4*t**2 - 2*t**2. Calculate a(q(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*p + 58 = 2*w - 208*p, -4*w - 40 = -5*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/3 in -658, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, and 1 r when three letters picked without replacement from {r: 8, f: 2, w: 1, n: 1, a: 1, b: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 38 * 3\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1227 - 1221. Calculate the greatest common factor of 34 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/14 + (251\/(-10))\/(483\/(-345)). Solve 2*a = n*c - 13*c, 3*c + 1 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 8, 11?\n\"Answer: 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 559397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 144 = -2*d. Let i(n) = -n**3 - 15*n**2 - 75*n + 1. Let l be i(-11). What is the tens digit of (-1554)\/(-38) - d\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y**2 - 9*y - 1. Is s(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12606?\nAnswer: 2, 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90271.69 minutes in nanoseconds?\nAnswer: 5416301400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*9 - ((-6477)\/(-3302) - (-1)\/26)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*n**6 - 86*n**4 + 3364*n**2.\nAnswer: 1320*n**3 - 2064*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 17*m**2 - 14*m - 38. Calculate y(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 - -233211?\nAnswer: 232130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y - 3. Let l(a) = -12*a - 2. Let x(j) = -4*d(j) + 5*l(j). Let i(b) = 4*b**2. What is x(i(k))?\nAnswer: -48*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 40 = -44. Let l(c) = c**2 + 2*c + 1. What is l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1597089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 757 - 669. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -682 and -679 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/15 + (-28)\/35 - 18\/21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-792)\/84*1*630\/135)\/1\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(405) + (0 + sqrt(405))**2))*-1.\nAnswer: 8*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 624, 711, 812, 933, 1080, 1259, 1476, 1737?\n\"Answer: v**3 + v**2 + 77*v + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1057*m**3 + 2014*m wrt m?\nAnswer: -6342*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7 - 7 - 2*z. Let r(q) be the second derivative of -2*q**3 - 50*q + 1. Determine r(i(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53775182 take away -3?\nAnswer: 3.53775182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 216, 20, 13166 in decreasing order.\nAnswer: 13166, 216, 20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - q**2 - 8 + 11*q - 6 + 7. Let u be d(-12). Factor j**2 + 5*j + 3*j - u*j.\nAnswer: j*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/11457 and 89\/4014.\nAnswer: 5109822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 249\/(-14)*56\/140 + 249\/(-415)\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21825917 by 21825917.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/(k*k\/k**(-1\/4)))*k)**37\/(k**(-4))**(-3) assuming k is positive.\nAnswer: k**(285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/8)\/(138\/(-188)). Let r = q + 1\/69. Let l = -10.8 - -11.3. What is the second biggest value in -1, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**4 - 9*z**3 - 39*z. Let g(a) = -3*a**4 - 18*a**3 - 78*a. Let b(r) = 2*g(r) - 5*y(r). Find the second derivative of b(s) wrt s.\nAnswer: -12*s**2 + 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001257166161 rounded to 7 dps?\nAnswer: -0.0012572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11377455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - 54.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 219782*o + 1978164. Determine w(-9).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/4)\/(2\/(-4)). Let b(f) = 3*f**3 - 4*f**2 - 5. Let x(n) = n**3 - 1. Let t(k) = c*x(k) - b(k). What is the third derivative of t(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 171634*i**2 + 938*i*j + 332*j + 135123 wrt i?\nAnswer: 343268*i + 938*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(1584) + 5*sqrt(1584)*-1)**2 - (sqrt(1584) + -2 + -5)) + -4 + 5 + (sqrt(1584)*1)**2).\nAnswer: -53872 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-64)*558\/(-2232). Are 1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 8*f**2 - 4*f + 3. Is y(-6) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54106.27ml in litres?\nAnswer: 54.10627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2704)\/(-104) + 226879\/(-9006) + ((-10)\/(-12))\/(-1)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p + 4 + 3*p + p. Let k = 152 + -156. Let r be i(k). What is the nearest to -0.2 in r, -3, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-4)\/6 + (-4150)\/15. Let z = m + 274. What is the smallest value in 4\/9, 54, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.8 - -3.2. Let x = c + -13. Let k = -9907 - -9911. What is the biggest value in k, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69\/425, -1\/4, 33 in decreasing order.\nAnswer: 33, -69\/425, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 22 = -1. Let l(u) = -u**3 - 4*u**2 - u + 2. Let o be l(v). What is the hundreds digit of (0 - 2 - -105) + (-4)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h + 7 = -5*z + 9*h, 3*h = 3*z - 39 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.035 - -2.035. Which is the closest to s? (a) 1\/2 (b) -1\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201561410 divided by 105254\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 77675*u**4 + 1740*u**3 - 20*u**2 = 0. Calculate u.\nAnswer: -2\/65, 0, 2\/239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 - j)*(-4 + 1 + 2 + (-1 + 0 + 0)*(-4 + 2 + 3) + 20 - 7 + 37).\nAnswer: -48*j - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110000101011010 (base 2) to base 10\nAnswer: 24922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**4 - 48*t**3 + 270*t**2 - 648*t + 567 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/5 + 233\/15. Let n(r) = -13*r**3 - r. Let f be n(1). Let s = t + f. Which is the third smallest value? (a) 1\/11 (b) s (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 17*v - 57. Calculate the smallest common multiple of 6 and u(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 42) + (-3 - -5)\/(123\/492)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:36 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7395 + -6559. Calculate the remainder when x is divided by 38.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825294 is divided by 5731.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1023 - 2?\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, -45, 4, 0 in decreasing order.\nAnswer: 4, 0, -3, -12, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-5) - 4\/10. Is p > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 5*s + 1. Let t(p) = 24*p - 2. Let o be t(2). Let v = o - 30. Let k = 12 - v. Give x(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(504) - sqrt(14))\/((sqrt(56) - (sqrt(56) - sqrt(896)))\/sqrt(8)).\nAnswer: -13*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*y - 11*y + 6*y)*(2*y + 4*y - 5*y) + (10*y + 0*y - 3*y)*(16*y + y + 30*y).\nAnswer: 353*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/3))**(-3\/17)*(k\/((k*k*k**(-23))\/k))\/((k\/(k**0*k))\/k) assuming k is positive.\nAnswer: k**(413\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-6)*((-212933)\/(-21) - 3). Is (1 - 2)\/(-1*(-5)\/y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460566181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.168? (a) -3 (b) 0.09 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -16999, -4, -5, 5 in ascending order.\nAnswer: -16999, -5, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6775 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*d - 25 = 5*t, d = -5*t + 5. Let v be (3 - 3) + (-479)\/5. Let i = v - -96. What is the nearest to i in t, -0.4, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -s. Let j(w) = 0*w**3 + 2*w**s - w**2 - w**3 - w. Let k(f) = -7*f**3 + 6*f**2 - 6*f. Calculate -6*j(o) + k(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:47 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366 divided by 52384.\nAnswer: 183\/26192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88692 + 18978 = -1065*f + 3300 for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -376110271*m**2 - 512239*m - 413.\nAnswer: -752220542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 7*b + 6. Let c be y(7). Let r = 365 - 237. Suppose -10*a = -172 - r. What is the highest common divisor of c and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 14*v + 4. Let i be g(14). Let t be 6\/i*12\/(-9). Let k = t - -85. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 3. Suppose -4*j - 10 = 2, -2*w - j + 15 = 0. Let p be l(w). Let s(o) = o. What is s(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(0 + 5\/(-25) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 10*z**2 + 9*z - 26. Let r be d(-11). Let g be ((-10)\/r + 0)*8*-1. Is g >= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/434 or 1?\nAnswer: 11\/434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/(-312))\/11*21\/(-14)*1.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 14*x = 175. Let i(n) be the first derivative of 0*n**2 - 2 + 0*n - 9\/20*n**4 + 2\/5*n**3 + 3\/25*n**x. Determine c so that i(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.35 + 0.16. Let v = j + -4.81. Let x = v - -5. Which is the closest to x? (a) -1\/6 (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7*u**3 + u**3 - 5)*(-2*u - 2 + 2)*(2 - 1 + 1).\nAnswer: -32*u**4 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from sgxgg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((-35 - 4) + 24).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 + i + 8. Let c(m) = 15*m**2 - m - 17. What is -13*b(p) - 6*c(p)?\nAnswer: p**2 - 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13420031*m**3*t + 2*m**2*t + 527*m**2 + 105*m*t - 3*m + 1 wrt m.\nAnswer: -80520186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let m = -2378\/5 + 28591\/60. Let t(w) be the third derivative of 0*w**3 - 2*w**2 + 0 + 0*w + m*w**4. What is h(t(a))?\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8.91 times -0.2\nAnswer: -1.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/7 + 421*o**3\/7 - 1305*o**2 + 9233*o - 21658.\nAnswer: (o - 7)**3*(o + 442)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347480538.\nAnswer: 2, 3, 57913423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662206 is divided by 66218.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -562010, -1124025, -1686040, -2248055, -2810070?\nAnswer: -3372085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - 0) + -48 + 41?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*w**2 - g - 3745003*w**5 - 192826*w wrt w?\nAnswer: 2*g - 74900060*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, g: 2, q: 3, d: 3, c: 3}. What is prob of sequence vq?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 30959.93 nanoseconds?\nAnswer: 0.03095993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-4 - (7 + -1)) + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Suppose -9 + 3 = 3*u. Let n be (5\/(-15))\/(u\/12). Let w(v) = v**n + 2*v**2 + v**2 - 2*v**2. Determine w(x(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -114. Let h be (-12)\/(-5)*v\/(-12). Is (17142\/(-12) + h)\/(2\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**4 - 3*d**4 + d**4 + (-4*d**2 + 4*d**2 - 2*d**2)*(0 + 0 + 2*d**2) + 6409 - 535*d**4 - 6409 - 3*d**2 - d**4 + 3*d**2.\nAnswer: -532*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyeru. What is prob of sequence ey?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20603914483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 474463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**5 + 2*c**4 - 17668*c**3 - 159810*c**2 - 3*c wrt c.\nAnswer: 300*c**2 + 48*c - 106008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/7 - 114*d**2\/7 + 744*d\/7 + 280.\nAnswer: 2*(d - 49)*(d - 10)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.2. Let a(m) = -m**2 + 25*m - 154. Let q be a(11). What is the closest to q in -14, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:04 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + ((sqrt(128) + 1 + sqrt(128) + (sqrt(128) - (sqrt(128)*2 + sqrt(128))))**2 - (sqrt(128) + 1 + sqrt(128))**2*-3).\nAnswer: 96*sqrt(2) + 1533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*j = -0*j + 19, -5*x - 5*j + 5 = 0. Sort 3\/7, -0.5, x.\nAnswer: x, -0.5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from hswrhkm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) + -15*1757\/(-29925). Let l be (-2)\/2 + (-36)\/(-38). Let a = d - l. What is the closest to 2 in a, 2\/9, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13032 and 97197?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 24*l + 69. What is x(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:57 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(45) - (1 + sqrt(180)\/sqrt(4))) + sqrt(45) + 3 + sqrt(45)*-1)**2 + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 63, 65, 67, 69?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-1716))\/((-3)\/(-3))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1681993384 to the nearest integer?\nAnswer: 41012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6306418*t**3 + 6306417*t**3 + 4 + 73*t**4 + 2*t - 3 - t**2 - 29*t**4 as n*t + c*t**2 + j*t**4 + s + x*t**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 2*c - 5. Let f be (-42)\/(-15)*(-710)\/(-497). Let t(w) = -11*w**2 - 5*w + 11. Give f*t(d) + 9*g(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.508 + 44. What is x rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o = 25*o - 4*g + 198388, 2*g - 79354 = -2*o. List the prime factors of o.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 9*v + 54. Let q be n(13). Suppose 2*b = -q*b + m + 223, -2*b = 3*m - 115. What is the least common multiple of b and 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0*b**4 - 4\/15*b**6 + 0*b**5 + 13*b - 4\/3*b**3 + 0*b**2 + 0. Find the second derivative of v(m) wrt m.\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47385\/(-2025)*570\/(-247)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -54958317.\nAnswer: -54958313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {i: 2, d: 6, z: 6, q: 3, k: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*i = 43, 2*y = 2*i + 1112 - 1114 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/2, -10, -47201\/4, 2\/11, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4382 - -0.42082. Round z to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 2. Let u be (15\/(-10))\/(15\/(-4) + (1 - -2)). Put u, -4, r in decreasing order.\nAnswer: u, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -7, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 97 + 9 = 0. Suppose 2*w = -2*o - 2*o + u, 5*o - w - 24 = 0. Solve 3*k = -o - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 101*d**2 + d. Let y be h(-2). Let w be (-6)\/(-3)*1 - (-1 + -2). Suppose -y = -5*b - 2*v, 390 = 5*b - 0*v + w*v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -9, -33, -75, -141?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.9, 2014, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 2*r + r)*(210734*r + 55 + 210592*r - 421542*r) in the form q + p*r + z*r**2 and give z.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x - 5. Let p be 28\/3 + -8 - 22\/3. Let o be ((-108)\/45)\/(p\/(-15)). Let m(b) = -2 - 23 - 4 - 23*b. What is o*m(z) + 34*n(z)?\nAnswer: 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 + 20*p - 42. Let j be f(11). What is j rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 12:33 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -58567.1 rounded to the nearest one thousand?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 27*f = 6100. What are the prime factors of f?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 1\/22*h**3 + 17\/132*h**4 + 0*h - h**2 + 1\/60*h**5 + 0. Factor j(p).\nAnswer: (p + 3)*(11*p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -720.89222 minus 3?\nAnswer: -723.89222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10978582*u**3 + 2*u**2 - 10995329?\nAnswer: -65871492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/8*3\/(-66)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -6678\/7045 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 7111 = 36891. Suppose 4*q - v - p = -1896, 2*q + v - 2767 = 0. List the prime factors of q.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68*24\/(-702480)*5\/(-6) and -56\/3.\nAnswer: 8781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1. Let v(w) = -w**2 + 2*w + 2. Let c(a) = 4*u(a) + v(a). Suppose -2*q + 21 = 11. Calculate c(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/3)\/(q*q\/(q**6\/q))*(q**1)**(1\/11) assuming q is positive.\nAnswer: q**(113\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 = -4*z + 5*g, -13*z + 288 = -16*z - 5*g. Let v = -105 - z. Sort v, 0, 2, -2 in descending order.\nAnswer: 2, 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d - 16*d - 34*d - 17*d.\nAnswer: -82*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 12:09 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -2513706\nAnswer: 10054824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-11*1)*343\/735*15?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -16. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24479 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.352 - -0.452. Let b = 0.513 - 0.113. What is the closest to -2\/7 in -4, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012408011218 rounded to 6 decimal places?\nAnswer: -0.001241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Let r be (6 - 2) + (-3)\/22*710\/24. Sort r, v, 0.5.\nAnswer: r, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34892 divided by -38.\nAnswer: -17446\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/106287 and -57\/29465.\nAnswer: 44109105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -4*y**3\/3 - 362*y**2 - 720*y + 6916. Factor t(o).\nAnswer: -4*(o + 1)*(o + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (118 + -2 + -13)) + -4 + 16.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-1*sqrt(225)*-5 - sqrt(225)) + sqrt(225))\/sqrt(9))\/(sqrt(560)\/sqrt(7) - sqrt(30)\/(sqrt(96) - sqrt(6))).\nAnswer: -75*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Work out -721225 - 78.\nAnswer: -721303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63784 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4205 = 7*m - 1045. Calculate the smallest common multiple of 55 and m.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58350 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 2*f. Let d be (-6)\/(-8)*(-20)\/(-15). Let u(h) be the first derivative of 0*h + 0*h**2 - 1\/3*h**3 + d. Determine i(r) + 4*u(r).\nAnswer: -2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114972 by 1742.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(448) + 4)*-6 + sqrt(448) + 4 + (sqrt(448) - (-1 + sqrt(448) + sqrt(448) + sqrt(448) + 4))*-2))**2.\nAnswer: 3584*sqrt(7) + 10304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/7 + (3 - (-57)\/(-21)). Find o such that 9*o - o**2 - 2*o**4 + 6 + 7*o + d*o**2 + 9*o**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 10)*(-2*c + 4*c - 3*c)*((3*c - 3*c - 3*c**2)*(-2 + 1 + 4) + 26*c**2 + 173 - 173) in the form p*c + l + n*c**2 + a*c**3 and give a.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + 9. Let g = z - 6. Let o = 11 + g. Calculate the remainder when 37 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {b: 3, d: 5, u: 6, e: 2, f: 1, n: 2}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*g = 237*g + 99480. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-64)\/(-19 + 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c - -2?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568.0212 rounded to 1 decimal place?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*u = 21, c - u = -0*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1409.146 - -1408. Let x = -0.95 - m. What is x rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + y**2 - 12*y + 8. Let f be x(3). Solve 3*i = 0, -s - s - 5*i + f = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 7, 27, 67, 133, 231, 367, 547?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -23, -3, -0.4, -50?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = 5*q. Let u = 3.9 + 0.1. What is the nearest to 0 in q, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -861*o**3 - 7*o**2 - 109*o + 2. Let v(j) = -430*j**3 - 4*j**2 - 65*j + 1. What is -3*l(b) + 5*v(b)?\nAnswer: 433*b**3 + b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -233.2 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 24*m - 7. Let x be v(12). Suppose x = -4*u - 143. Let o be 1 + 5\/10 - u\/4. Solve o - 12 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 38*x - 167. Calculate the smallest common multiple of 1150 and u(4).\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 > -0.522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 64286244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -13*d + 32*d. Suppose -3*f - 2*t = -d*f + 2769, -4*f + t + 3697 = 0. Calculate the highest common divisor of f and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**8\/2240 + k**7\/210 - k**6\/240 - k**5\/10 + 3*k**4\/8 - 13*k**2. Let x(y) be the second derivative of v(y). Factor x(j).\nAnswer: 3*(j - 1)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1507*s = 1371*s + 2720 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -29. Let i be l\/1 + (-3)\/(-1) + -2. Suppose -2*y - 18 = 2*y - 2*r, 0 = -3*y + 4*r - 26. Put 0, i, y in decreasing order.\nAnswer: 0, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 2*a - 31383612, -4*w + 3*a = 31383614. Let d = -1201400 - -455498. Let j = d - w. Round j to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**2\/2 + a - 1. Let k be v(-3). Suppose -f = -0*f - k. Calculate the remainder when 11 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/28625 and -45\/707?\nAnswer: 20237875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, x: 6, y: 2, k: 2}. Give prob of sequence cyy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1309.841 to the nearest integer.\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 3*b**3 + 1364 - 680 - b**3 - 686.\nAnswer: -12*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000099671 to seven dps.\nAnswer: 0.0000997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = a - 6*a - 5, 4*j = -5*a. Suppose 0*u = -a*n + 5*u - 29, -3*n + 12 = 3*u. Put 0, n, -4 in descending order.\nAnswer: 0, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 43*g**2 - 7*g + 9. Let c(b) = -4*b. What is y(c(u))?\nAnswer: 688*u**2 + 28*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/13, -2\/3, 296, 9\/2 in descending order.\nAnswer: 296, 9\/2, -2\/3, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9448 is divided by 9282.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -163, -327, -491, -655?\n\"Answer: -164*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = 310. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (sqrt(539) + -2))**2 - ((sqrt(11) - -1*sqrt(11))*5)**2) + 2 + (-4 + (sqrt(66)\/sqrt(6) + sqrt(11) - sqrt(11)))**2.\nAnswer: -1067 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -1\/15*g**4 - 2*g - 1\/75*g**5 + 2\/5*g**3 + 0 + 4*g**2. Let r(h) be the first derivative of m(h). Factor r(t).\nAnswer: -4*(t - 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {t: 5, w: 1, v: 6, q: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkxkxkkkk. What is prob of sequence xkkx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 - 1465 + v + 1677 + 6*v**3 - 4*v**3 in the form s + j*v + q*v**4 + c*v**3 + p*v**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-2)\/14) + (117 - (-155856)\/(-1360))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.23911 micrometers to centimeters.\nAnswer: 0.002623911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -y + 10 + 10, 3*y - 15 = 3*r. Calculate the lowest common multiple of y and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 1 + 1 + (4 - 1 - 1)*(-2*y + 0 + 0) - 3*y + 0*y + 5*y + 2*y + y - 2*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 2*g - 9. Let f(t) = -t**2 - 1. Let b(w) = d(w) - 5*f(w). Let q be b(3). Suppose q = m + 4*m. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/1 + -3 + -2. Which is smaller: n or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-54)*-10*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/27 and 73\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.2 - -22. Let g = 9 - j. What is the nearest to 3 in -0.4, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o - 17*o + 31*o. Let h(i) = -5*i + 3. Determine p(h(z)).\nAnswer: -35*z + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from {e: 4, x: 2, g: 7, d: 2, m: 2, j: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40*3\/((-15)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191675.\nAnswer: 5, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + -2.02. Let g = x - -26. Let m = g + -16.5. Round m to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250124 and 786104?\nAnswer: 5502728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6685303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01069504 to 4 dps.\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 + 2*s - 6. Give d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 145 - 478340?\nAnswer: -478195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4951 + 2*z - 4950 - 2*z**4 - z**4 - 27*z**2 in the form t*z**3 + p + w*z**4 + u*z + a*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6318147us in days?\nAnswer: 0.00000000018092378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r = -8. Suppose r*h + 4*v = -h - 7, 4*h - 4*v = 28. Find z such that -1\/4*z**5 + 1\/2*z**h + 1\/2*z**2 - 1\/4*z - 1\/4 - 1\/4*z**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -18c155?\nAnswer: -18c155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 6. Let i be z(-2). Suppose -i*n - 116 = -w, 37 = 2*w - n - 167. What is w rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.15091\nAnswer: 1.15091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j**2 - 8*j + 0*j**2 - 7 + j**2 - 2*j**2. Determine n(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*s + 12 = 3*s, -x - 12 = s. Let q = x + 22. Calculate the remainder when (-9*1)\/((-3)\/12) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-4 + 2) - 11) + 0 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.3. Let s = -0.4 - o. Let q = 3 - s. Which is the third biggest value? (a) q (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151*1942\nAnswer: 293242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161\/552 - 3\/18?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2585*z - 2*b = -2586*z + 31, -3*b = -2*z + 44 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 581 - 8d9?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:12 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38358*i**3 + 19324 + 38357*i**3 - 19324.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((2*sqrt(170) - sqrt(170))*-2 + sqrt(170))\/sqrt(10) + -5)*-3.\nAnswer: 3*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0 (c) -305 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 46633 (base 9) to base 15\nAnswer: 9359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, -11, 10, 1, -116 in descending order.\nAnswer: 10, 4, 1, -1, -4, -11, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -18. Let i(s) be the second derivative of 1\/9*s**w + s - 1\/36*s**4 + 0 - 1\/6*s**2. Determine v so that i(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/36 and -73\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 9*n - 9. Let g be p(-7). Suppose -4*o + 0*o + g = 0. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**3 + 2*v**2 + v + 4. Let a(d) = 24*d**3 - 7*d**2 - 2*d - 14. Give 2*a(f) + 7*b(f).\nAnswer: -8*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650 and 61500?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*t = 95*t + 3*c - 1683, c - 1005 = -3*t. Solve 329 = -f + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*y - 8, 2*y = -4*s + s - 8. What is the tens digit of (s + 436\/10)*85\/34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 6*c + 28. Let g be k(-8). Let p = g + -39. Find the third derivative of 5*i**2 + 9*i**2 - 17*i**p - i**2 + 11*i**2 wrt i.\nAnswer: -1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 62. Let o(g) = -6*g - g**2 + 2*g**3 - 7 - g**3 + 0*g**3 - 6*g**j. Let p be o(8). Calculate the highest common divisor of 63 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppccccpccccccccpccc.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8306.919 centuries?\nAnswer: 83069.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -4 - (35 + -27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/451854 and -71\/90.\nAnswer: 2259270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, d: 1, w: 1, n: 2, y: 1, a: 1}. What is prob of picking 2 n, 1 l, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052877994 to five decimal places.\nAnswer: -0.05288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15046 + -15042. Suppose -4*j = 3*h - 32 - 21, 0 = j - 3*h - 17. Calculate the greatest common factor of j and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32715 is divided by 8139?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10 - 2 - 4*h + h - 5*h wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.47 - 0.07. Sort -1\/8, v, -10 in descending order.\nAnswer: v, -1\/8, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11424 and 26061.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*u - 2, z + 3*z - 8 = 3*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**3 + 3*g**2 - 4*g + 6. Let o(h) = -23*h**3 + 7*h**2 - 9*h + 13. Determine 9*a(u) - 4*o(u).\nAnswer: -7*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z - 1154 + 1414 = -4381 - 90 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7601 - 1.2399. Which is the fourth biggest value? (a) 0.3 (b) 5 (c) 2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 761729 + -457302. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3519*g + 3519*g + 256*g**2 + 125*g**2.\nAnswer: 381*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + n**2 - n. Let p be (1 + 1)*(0 + 9)\/(-18). Let s = 29 - 20. Suppose -4 = -5*o + s*o. Let q(x) = x + 1. What is o*y(f) + p*q(f)?\nAnswer: f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -354 + 761 - 318 - 313 + 30*m - m**2. Give z(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 16*x**2. Let v(u) = 19*u. Calculate v(l(z)).\nAnswer: 304*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 + -81. Suppose 0 = 7*u - m*u - 56. Differentiate r - 21 - u*r**3 - r + 0*r with respect to r.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4057824 by -4057824.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173168232 divided by 4.\nAnswer: 43292058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-1)\/(3\/48). Let n be -704*(3 - (-2)\/(-1)). What is the tens digit of n\/i - (-14)\/(-91)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859866731 to the power of 1\/3, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 2 - 2)*(5*c**3 - 4*c**3 - 3*c**3) - 4*c**5 - 2*c**5 - 3*c**5.\nAnswer: -13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000010976479 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 - 4*w - 48. Calculate r(9).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 9.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - (5 - -1)) - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*m + 1236*m + 69488 = 0 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/4)*y*y\/(y\/(y*y*y\/(y\/(y\/(y\/(y*y\/y**(-2\/21)*y)*y)))*y*y*y))*(y\/y**(-3\/2))\/(y**1*y))**48 assuming y is positive.\nAnswer: y**(3140\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104.7 * -30558.\nAnswer: 3199422.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*t = 5 - 8 + 31, -4*p + 4*t = 52 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17692.\nAnswer: 2, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = -2*u. Suppose 4*r + r - 1120 = u. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -42, -77, -114, -153, -194?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-1 - (-8 + 7 + 0)) - 54?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15165 is divided by 4336.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*(11 - 4\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/18 and -37\/45772.\nAnswer: 411948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4508110 and 171308180?\nAnswer: 171308180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2844739 is divided by 167336?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79208.852? (a) 2\/3 (b) -0.3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttltytlt. What is prob of sequence tt?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 27, 1\/6, -65?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-32)\/68) + (7 - 1)*-1 + 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Suppose -4*d - 16 = 5*c, 0 = -k*c + 4*d + 19 - 3. Suppose 3*l = -8*h + 3*h + 9, -5*h + 2*l + 19 = c. Solve 0*u = -3*u - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2126534966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*(sqrt(252) + -2*sqrt(252) + sqrt(252)) + -6*(sqrt(252) + 1) - (1*-5*(1 + sqrt(252)) + -3)))**2.\nAnswer: -96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -608*z - 82287. Determine p(-135).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310769 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 12 = 2*c, -l + 25*c + 31 = 29*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/20*o**5 + 0 + 26*o + 1\/6*o**4 - 1\/2*o**3 + 3*o**2. Let c be i(-3). Solve -14 = 4*x + c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 49*j**4\/6 - 28*j**3\/3 + 4*j**2 + 8*j. Suppose b(t) = 0. What is t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/9)\/(3 + 40\/(-12)). Let g = -32 + 30. Let t be (3\/(-2))\/(19\/g). Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l - 93. Let p be u(6). Suppose -2*n + p*a = -2*a + 186, 5*n + 4*a = -465. Which is greater: n or -94?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + -5. Let f = q - -103.082. Let a = f + -1.142. What is a rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**4\/4 - 17*z**3\/3 + z**2\/2 - 16*z - 18. Let c be a(-17). Are c and -33 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:19 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 2*s**2 - 2*s + 8. Let x be t(6). Suppose -6*l - x = -10*l. Suppose 0 = 5*j + 5*p - 27 - l, 5*j - p - 170 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.337 - -0.063. Let o = 0.5 - 0. What is the second smallest value in o, 3, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6434a (base 11) to base 14\nAnswer: -2616b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 15) to base 3\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 225539?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 20. Let t be (-205)\/(-25) + (-2)\/r. Solve -5*b - 46 = -21, -y - t = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 1. Let k(v) = -4*v**2 + 76*v - 86. Let t(d) = -k(d) - 10*y(d). Factor t(s).\nAnswer: 4*(s - 12)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 1\/6*x**3 + 3*x**2 + 0 + 6*x. What are the prime factors of g(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2102*q - 22932 = -1283*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*x**3 - 9*x**2 + 57*x + 9.\nAnswer: -3*(x - 1)*(x + 1)*(19*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2118? (a) 2 (b) -10\/3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15586*-0.3.\nAnswer: 4675.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*j - 5*j + 4, -j = 5*l - 4. Solve 4\/9*k**2 - 2\/9*k - 2\/9*k**3 + l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 19*f - 120. Let b be o(-24). Let g = 451\/119 + -29\/7. Is g at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9 - r - 7*r**2 - r**3 + 0*r**3 + 2*r. Let q be g(-7). Solve 2*i + z = -z + 2, 2*i - 5*z = q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**3\/6 - h**2 + h. What is t(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.2, 1\/3, -13\/6, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 42710560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 6. Let h be ((-68)\/36 + 3)*b. Let d(i) = 21*i + 20. Let o be d(-1). Does h = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1673.9 (b) -4 (c) 1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11 - 204*f**2 + 203*f**2 - 4 - 9*f + 2*f. Suppose -17 = 2*d - 3. Give c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 2 + 7*h**3 - 28*h**3 + 3*h - h**3 + 17*h**3 in the form g*h**4 + z + j*h**3 + u*h**2 + b*h and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26693037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:51 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 - 9*g**2 + 4*g + 19. Let j(r) be the second derivative of r**5\/10 - r**4\/3 + r**3\/3 + 9*r**2\/2 + 62*r - 1. What is -9*j(x) + 4*n(x)?\nAnswer: -2*x**3 - 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 22*o - 2251, -o = 138*p - 140*p - 113 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}