diff --git "a/data/dm_maths/full_data_2/10631_11255.jsonl" "b/data/dm_maths/full_data_2/10631_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10631_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 47 less than -280109040?\nAnswer: -280109087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8811?\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566 - 235 + 287 = 6*s for s.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3640997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-2 + 133\/(-21)). Suppose -3*z = 3*t - 240, -t + s - 330 = -4*z. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*h - 135*h = -95. Suppose -h*r + 500 = 6*r. Solve -4*y = y + r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -79 + 24 + -3 + 63 and (22\/8)\/(1\/4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 + 3.3. Let y = 2 + i. Let k be (-19)\/(-7) + 33\/(-11). Which is bigger: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11899, 47513, 106869, 189967, 296807, 427389?\n\"Answer: 11871*p**2 + p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 4, -17, 1746, 5.\nAnswer: -17, -15, -5, 4, 5, 1746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 + 3?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 1\/20*w**5 + 1\/6*w**3 + 7*w + 0 + 0*w**4 + 15\/2*w**2. Give l(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5 + 0*l**2 - 3*l - 5\/3*l**3. Differentiate i(a) wrt a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 7*q - 5*i, 5*q - 7*i + 6*i + 20 = -0*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/6, -1\/2, -0.1, -0.11, -0.18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*w + 3*w + 102 = 0, -4 = -2*w. Let k be (m\/(-21))\/(6\/28). List the prime factors of (-1180)\/(-6) + (-32)\/k + 3.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose 1 + u = -n. Let o be -4*(n - 14\/(-8)). Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - n**2 - 13*n**3 - n + 49*n**3 - 18*n**3 - 19*n**3 - 7 to p*n**3 + j*n + i + q*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -5 (c) -0.5 (d) 3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0*q + 0 - 7\/24*q**4 - 21*q**2 - 1\/30*q**5 - 5\/6*q**3. Suppose -3*d + 4 = -2*b - 2*d, d = b. Calculate c(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72)\/sqrt(4)*5 + -2)**2*-5 + -2 + -4.\nAnswer: -9026 + 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 264\/(-702) + (-4)\/(-18). Let x = 5.5 + -5. What is the closest to -1 in p, 2\/19, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (0 - 6 - 0) + -2 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11993135 and 3465?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 35*r - 20106 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 58*z**3 - 2*z**2 + 3*z - 2. Does 16 divide c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 146?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.5 (b) -4 (c) -1147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/11, -2, -0.18 in decreasing order.\nAnswer: 3, 3\/11, -0.18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -93, -5, 41, 4 in ascending order.\nAnswer: -93, -5, 0, 1, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19470 (b) 0.2 (c) -5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccfccfcdcccfd. What is prob of picking 3 f and 1 c?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936\/11 less than or equal to 357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**5\/6 + 12175*d**4 + 255775*d**3\/3 + 109650*d**2 - 657675*d\/2 - 657765 = 0.\nAnswer: -3, 2, 14617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d**5 + 605*d**2 + 13*d**5 - 8*d**5 + 1171*d**6 + 45*d**2 wrt d.\nAnswer: 140520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -338, -339, -332, -311, -270, -203, -104?\n\"Answer: t**3 - 2*t**2 - 2*t - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49990 = 3*o - 97976. Suppose -41338 = -12*j + o. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 201*a - 1572. Let f be k(8). Solve 3\/2*y**3 - f*y**2 + 288*y - 768 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2590398l?\nAnswer: 259.0398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 3) + (2 - 0). Suppose y = 6*f - f - 25. Let o(t) = -t**3 + 4*t**2 + 3*t + 6. Let z be o(f). Let h(q) = q**3 + 3*q**2 - 4*q + 1. Calculate h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -53*f**2 - 1434*f - 92. Determine v(-27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9194 + 202219\/22. What is the common denominator of m and 65\/1102?\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, -186, 1\/8, 0.08?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 53210274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1421 + 2?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (1 - 1) - 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810 and 2610?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -0.08?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2) + 4)\/(-13*(-45)\/(-11115)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 36312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 4*x + 48 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:52 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(1176) + sqrt(24)))\/(-1*sqrt(128)) + -4*((sqrt(243) + 1)**2*2 + (sqrt(243) + 0 + sqrt(243)*-2)**2).\nAnswer: -2924 - 1137*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 - (-58)\/18. Suppose -6*y + 89 = q*d - y, -d - 2*y + 28 = 0. Suppose -2*v = 3*u - 175, 4*u = v - d - 33. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utuu when four letters picked without replacement from tpuuuuthrruu?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 4. Let z(q) = -2*q + 3. Give -3*r(x) - 4*z(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 19*b**2 + 2*b + 42. Let c be m(-19). Solve -8 = -4*q - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 0*o**3 + 2*o**3 - 2*o + 2*o**2 - o + 4. Let l be h(-3). Find the third derivative of y**l + 10*y**3 - 3*y**2 - 10*y**3 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/136 in 1, 1\/5, -0.05, 4\/129, -2\/9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.2. Let d = 0.2 - r. Let v be (-4)\/16*6\/4. What is the closest to d in v, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29334514*a**4 + 4663*a**2 - a - 17 wrt a?\nAnswer: -704028336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*i = -9, 0*d - 3*i = -2*d - 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f + 7. What is n(20)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/17599 - 123353\/1407920. Let g = t + -5\/16. Is g greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + sqrt(1300)*-2 - (-3*sqrt(143) - sqrt(143))\/sqrt(11).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*u - 111*u = -14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 19*o**2 + 85*o - 10. Let x be z(12). Suppose w = -4*w - 5. Put w, x, 18, -5 in decreasing order.\nAnswer: 18, x, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z - 9. Let q be p(-7). Suppose -3*g = -5*u - 3, g = q*u + 2 - 1. Let x(j) = j - 6. Let v be x(7). Which is greater: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 680 - 678. Factor 34*q**2 + 4 - 63*q**d - 2*q + 8*q + 32*q**2 - 13.\nAnswer: 3*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 223767 and -53.\nAnswer: -11859651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -0*d. Suppose -3*p = d*p. Let w = 8 - p. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18065, -18079, -18091, -18095, -18085?\nAnswer: -18055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.57, 0, -8.7?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 1:36 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**3 + 679876*o**2 - 11555648408*o - 4622368144.\nAnswer: -2*(o - 33994)**2*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -21214345?\nAnswer: 21214333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1078, -2185, -3290, -4393, -5494, -6593, -7690?\n\"Answer: k**2 - 1110*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -666189?\nAnswer: 666189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 22*j**2. Let h be v(-3). Let i be (-2)\/(-9) - (-253)\/h. What is x in 3\/2*x**3 - i*x**4 - 3\/2*x + 0 + 3\/2*x**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 3*w**2 - 9*w - 16. Let t be n(-4). List the prime factors of 1\/t*102*8.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10588 * -223.\nAnswer: 2361124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((4\/(-1))\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.8456t in grams?\nAnswer: 494845600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 24 = 27*o - 23*o, -4*o = 16. Does 14 divide ((-10584)\/(-162))\/(y\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 5*v + 162 - 155 + 28*v - 22*v - 47*v + (2 + 3 - 4)*(0*v + 4*v - 3*v))*(-v**3 + 0*v**3 + 4*v**3).\nAnswer: -141*v**4 + 21*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271019.\nAnswer: 3, 431, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 468\/(-104)*(-2)\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -44529.33 to the nearest one thousand.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 80.6713 decades?\nAnswer: 806.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 + 3 = 0. Solve -m + 17 = 4*y - 0, -y + g = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104274 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 667654976\nAnswer: 667654976.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/43 and -7\/10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/117 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.72849922 + -26.7345. Let u = o + 0.006. Round u to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2))**23*v**(10\/9)*v**(-1))**(-35))**45 assuming v is positive.\nAnswer: v**72275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -539729\/6 > -89955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*m - n, -25 + 83 = 3*m + 4*n. Solve 6*h - 12 = m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 14*p**3 + 0*p - 29*p + 23*p + 4*p.\nAnswer: -16*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i + 22*i - 3*i in the form u*i + v and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7959645 divided by -176881?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*u**3 - u + 2 - 18*u**3 + u to the form r*u**3 + x*u + g + a*u**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {s: 3, d: 1, v: 1, y: 1, p: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242629.1 centimeters to millimeters.\nAnswer: 2426291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/365 and -33\/52649425?\nAnswer: 52649425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**3 + 1944*t**2 + 3897*t + 1950 = 0.\nAnswer: -1, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0427 and 1.1.\nAnswer: 1.0573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71418 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (45\/(-15))\/(6\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59986 and 82948?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6745.896 years in decades?\nAnswer: 674.5896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -101132?\nAnswer: 101132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-21)*85\/68.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -959 - -1196. Calculate the highest common divisor of x and 869.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 1:55 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 12. Suppose r - 2*r + 10 = 0. Calculate the smallest common multiple of r and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3067\/323 - 165\/17. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9730989 divided by -3?\nAnswer: -3243663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13970, 13740, 13522, 13322, 13146, 13000?\nAnswer: 12890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*m**3 + 137*m**3 + 10*m**2 - 26*m**5 - 2*m wrt m.\nAnswer: -1560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4327 + -2902. Suppose -6*d = -3*d + 3*g - p, 4*g = -3*d + 1425. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647311.2m to kilometers.\nAnswer: 647.3112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 4:17 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025600 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.5, -524, -1, 6\/7, 137\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 42. Let n be p(-23). Let s(q) = -25627*q**2 + 11*q - 12. Let g be s(n). What is g rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1\/(66\/7854*1\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16545+0\nAnswer: 16545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -960 (base 14) in base 9?\nAnswer: -2473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxxwxxwxnnwawwnww. What is prob of sequence wan?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*l - 14592 = 108*l + 433*l for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (78 - -74) + -73.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*h*o**3 - 7*h*o**2 + 1739*h with respect to o.\nAnswer: -234*h*o**2 - 14*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -524 + 1574\/3. What is the closest to -95 in p, 3\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84001719 != -84001728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/20 - 7*q**4\/12 + 4*q**2 + q. Suppose -m = -0*m - 23. Calculate the remainder when m is divided by b(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/60 + f**4\/3 + 5*f**3\/6 - f**2 + 18*f. Calculate m(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10 + k - k - k. Let a be n(7). Let r be 10\/(-4)*(a - 5). Put 2, r, -2\/13 in increasing order.\nAnswer: -2\/13, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12*6)\/(1\/(-20)*-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 6:39 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22620 - 99*k + 22620)*(0*k - k - k).\nAnswer: 198*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, 2, 62, 316, 6 in descending order.\nAnswer: 316, 297, 62, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/5 (c) 58386 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 269465 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9 and 43\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78012 and 9066.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjvtztjzx. What is prob of picking 1 x, 1 c, and 1 j?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, -40\/7, -2\/15, -2\/7, 0?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -0. Suppose -f*d = -15 + 7. Solve -k - d = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = 54. Let n = -12 - -14. What is the remainder when (-76)\/x - (-2)\/(-9) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(17) + sqrt(68) + -1 + sqrt(68)) - (-4*sqrt(153) - (sqrt(17) + 6*-1*sqrt(17))).\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16010 take away -14?\nAnswer: -15996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7019.467 milligrams?\nAnswer: 7019467000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2. Let p = 3005 + -3000. Let d(m) = 2*m - 2*m - 6*m**2. What is p*d(c) + 4*s(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 10*l**2 - 8*l - 4. Let n be w(9). Suppose a - 4 = v, n*a + 2*v + 3 - 2 = 0. Which is smaller: 2\/11 or a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -847500 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*h - 1900 - 6380 = -618*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/2096 and -29\/2620.\nAnswer: 10480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**8\/2240 + b**7\/840 - b**6\/120 - b**4\/12 - b**3\/3 - 5*b + 3. Let m(j) be the third derivative of h(j). Factor m(s).\nAnswer: 3*s*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u. Let l(b) = 88*b**2. Give k(l(x)).\nAnswer: 176*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**5 - 35*q**4 + 10*q**3 + 30*q**2 - 25*q + 5.\nAnswer: 5*(q - 1)**3*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 218693900?\nAnswer: 218693900.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-2\/7)))**15*l**(1\/4)*l**11*l assuming l is positive.\nAnswer: l**(463\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -68874722 - 63753\nAnswer: -68938475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z - 3*s - 1009, -2*z + 1012 = -4*s. Does 100 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.68248um in meters?\nAnswer: 0.00000368248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -31. Find the common denominator of (-11)\/(-3) - (-1 - 0) and 4\/v*1 + (-102)\/1309.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 3, -19 in ascending order.\nAnswer: -19, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 588055743 a multiple of 1353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x**2. Let z(u) = -6*u**2. Calculate z(a(b)).\nAnswer: -1176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1313\/67956 - 1\/84. Let g = -96307\/4854 + a. Let v = -15450\/7 + 340579\/154. Calculate the common denominator of v and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1084 + 1265. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4\/4 - 802929*l**3 - 11241111*l**2\/2 + 16861599*l + 86716899\/4 = 0.\nAnswer: -9, -1, 3, 1070579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3170*p**4 - 693*p - 20*p**2 + 695*p + 22*p**2 to d*p**4 + v*p**3 + g*p**2 + r*p + h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -382909768*s**4 + 916*s + 25049.\nAnswer: -4594917216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594446?\nAnswer: 2, 23, 56401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 140, 275, 410, 545, 680?\n\"Answer: 135*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110 + -2114520?\nAnswer: -2114410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 25587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 41*v**2 + 126*v - 65. Calculate the remainder when u(-5) is divided by 114.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h**2 - 18*h. Let g(t) = -8*t**2 + 7*t. Determine 5*c(q) + 12*g(q).\nAnswer: 4*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = t + 4*w, 3*w + 6 = -5*t + w. Let f be (-218)\/(-327) - 2\/(6\/(-31)). Suppose -24 - 31 = f*d. Put d, 4, -1, t in descending order.\nAnswer: 4, t, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g - 1. Let p(h) = h**2 + 11*h + 5. Let x be 2\/(-3 + 3\/3). Let d(y) = x*p(y) - 5*l(y). Find the second derivative of d(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0776 times 38898?\nAnswer: 3018.4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5 - w**2 - 4 - 17*w + 2*w. Let n be t(-14). Is 4\/n - 1251\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00867067215 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94563\/6004)\/((-54)\/96).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/7 (b) -4 (c) 1\/186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 + 169*j - 22. Let w be k(28). Let i(r) = -10*r**3 + 4*r**2. Let b(d) = 9*d**3 - 3*d**2. What is w*b(o) + 5*i(o)?\nAnswer: 4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:20 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = 0, 24*k + 55 = 28*k - 3*x. What is the remainder when 271 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212732 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011110 + 110011000100111?\nAnswer: 110011011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18420.3153s in days?\nAnswer: 0.21319809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**5 + 3*v**4 + 9*v**2 + 4. Let s(n) = n**4 + n**2 + n. Let b(a) = -3*s(a) + x(a). What is the second derivative of b(t) wrt t?\nAnswer: -40*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = 2*x - 6, -2*x = 4*p - 30. Solve -x - 8 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 3*g**2 - 4*g. Let x be t(-3). Suppose -3*l = -0*l - x. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s\/((s**(-7)\/s)\/s))\/(s**(-2\/5)\/s))\/((s**(-1\/8)*s)\/s**(3\/7)))**(-12) assuming s is positive.\nAnswer: s**(-10881\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + 15*n - 3*b + 22, 20 = 5*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*c**3 + 193*c**3 - 131*c**3 - 643*c**3.\nAnswer: -1060*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57077 is divided by 12917.\nAnswer: 5409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 29. Let f(i) = -8*i**3 + i**2 + i + 1. Calculate the remainder when y is divided by f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*2\/2)\/(-37 + 34). Let y = -0.08 - -0.05. What is the third smallest value in m, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2. Let y(w) be the first derivative of -121*w**2\/2 + 1180. What is z(y(r))?\nAnswer: -29282*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + (-35 - -88) + -38)*(-18)\/16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/10 + 174*w**4 - 393853*w**3\/5 - 8615160*w**2 + 18088950375*w\/2 - 62862581250 = 0. Calculate w.\nAnswer: -292, 7, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(3\/4)\/x))\/(x*x**(2\/21))*x**(-1\/4)*x*x\/((x**(-3)\/x)\/x) assuming x is positive.\nAnswer: x**(124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/65, -56.5, 2\/3, 3, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 27*v**2 + 324.\nAnswer: -3*(v - 3)*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + (sqrt(500) - (sqrt(500) + (sqrt(500) - (sqrt(500) + -1)*1) + sqrt(500))))**2)*-4 + 4.\nAnswer: -2008 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1636)\/(-351740))\/(2\/30)\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -459\/4, -5, -0.6 in decreasing order.\nAnswer: -0.6, -5, -459\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/6 - -19\/6. Let d be (-366)\/2013 - (-376)\/(-110). What is the closest to 0 in y, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000046686 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 23 (b) -27 (c) 1 (d) -1\/131 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 16 = 3*u + 18, 0 = -v - 5*u - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 415*k + 623. Determine p(-209).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/3 + 3601*t**4\/3 + 3225526*t**3\/3 - 9784878*t**2 - 9676605*t + 87966675 = 0. What is t?\nAnswer: -1805, -3, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 i when four letters picked without replacement from hiafiaiiafaiaafaiaa?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -151 - -2504?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.74 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/5*m**3 - 2\/5*m**2 + 8\/5*m = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*p + 13 = s, 5*p = -15. Let x be 23\/(-23) + s\/(-9). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -32. Suppose -2*u = -2, 6*f - 10235 = f - n*u. Suppose -4*t + f = -622. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {f: 1, c: 2, q: 1, b: 2, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16*u + 1. Let x(j) = -66*j - 1353. What is -4*t(z) + x(z)?\nAnswer: -2*z - 1357","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n + n - 4*n + (1 - 2 + 3)*(-n + 0*n - n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**2 + 54*o - 3. Let y be l(7). Let z be 96\/(-10) - (-78)\/y. What is the smallest value in -1, 3, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680 + 1369 - 2*x**3 - 689.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64\/3 + -22. What is the third smallest value in 0.1, x, 0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-810) + 2\/(-27)*3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 4 - (21 - 28)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10636, -10639, -10642, -10645, -10648, -10651?\nAnswer: -10654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.36627352?\nAnswer: 0.73254704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2592, -5183, -7764, -10329, -12872?\nAnswer: -15387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95181159 is divided by 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215022.\nAnswer: 2, 3, 35837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w - l - 6 = 0, 0 = 3*w - 3*l + 18. Which is greater: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 divided by -21712.\nAnswer: -199\/21712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 5, 41, -0.2, -86, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 11:39 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (9 - 21 - (0 + -2)) + -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 3\/6)\/((-9)\/3390). Let k = 569 - o. Solve -k*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - 61) + (6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhhfhhhhhhhhh. Give prob of picking 4 h.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -347\/5 less than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 229*b - 283*b. Let h(z) be the second derivative of 0*z**4 - 9\/20*z**5 + 0*z**3 - 15*z - b*z**2 + 0. What is the first derivative of h(m) wrt m?\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 356838956*y + 1342*y**3 + 3 + 356838956*y - 1349*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**3*w**2 - 45*k**3 + 3*k*w**2 + 293*k*w - 31*k - 2 wrt w.\nAnswer: 2*k**3*w + 6*k*w + 293*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(110) - sqrt(110)*-4 - sqrt(110))\/sqrt(10)*6)**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let b be w(-9). Let y be b\/16*(-10)\/(-4). Let o = 1 - 1. What is the second smallest value in -1\/2, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*m**6 - 163254*m**5 + 12*m**3 + m**2 - 15*m - 47674?\nAnswer: -4320*m**3 - 9795240*m**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n**2 - n. Let i(k) = k**3 - 12*k**2 + 9*k + 7. Let r(u) = -u**3 + 11*u**2 - 8*u - 7. Let x(b) = -6*i(b) - 7*r(b). Let l be x(4). What is v(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (39 - 27) - -4) + (28 - -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s. Suppose -5*n + 16 = g, n + 4*g = 3*n - 2. Let d(i) = 2 + n - 6. What is d(b) - x(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*v - 357*v - 6*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-2 - -4)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*s, -6*v + v = -3*s + 44. Let r be (6620\/(-100))\/(966\/v). Let c = r + 2\/69. Is c at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 91. Let u be k(0). Let r = u - 88. Suppose -4*m + 560 = r*m. What is the greatest common divisor of m and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 210 = -6*q. Suppose l + q = 4*l. Let u be ((-1)\/(-2))\/(1\/70). Calculate the highest common factor of u and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 9\/8*m**5 + 0 + 1\/2*m**2 - 11\/8*m**4 + 0*m - 2*m**3 = 0.\nAnswer: -1, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 103*r**2 - 4*r + 4. What is c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -379 (base 15) to base 10\nAnswer: -789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhhhhoh. Give prob of sequence ohh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 4:49 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 808424947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 at most as big as -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/2))**(-6\/23))**(-41))**(-45) assuming d is positive.\nAnswer: d**(5535\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-26))\/((232400\/910)\/40)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 112, 227, 342, 457?\n\"Answer: 115*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -2\/23, -1\/4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -258 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4475467 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7}. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 66.5.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 110*g - 4160. What is d(38)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 75 + 28 + 23 + 38*o**2.\nAnswer: 38*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391, -293, -975, -1655, -2333, -3009?\nAnswer: -3683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -304220 (base 8) in base 14?\nAnswer: -288a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 + (-30)\/(-2)). Let g = -6 - -2. Let r be 21\/i + (-3)\/g. Which is the second biggest value? (a) r (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 38*i**2. Let s(d) = 13 + 10*d - 12*d - 13. Give k(s(f)).\nAnswer: 152*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116523 and 699138.\nAnswer: 699138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 44.2. Let d = -48 + n. Let p = 1.3 + -0.3. Which is the nearest to 3? (a) p (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**4\/6 - 5*z**3\/6 + 2*z**2. Let c(d) = 3*d - 4. Let m = -76 + 80. Give m*y(u) - 5*c(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -10. Suppose 2*m - 5*u = 33, -3*u + 150 = 5*m - 2*u. Suppose -4*q = -m - d. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*p - 5, 3*p - 3*s + 4*s - 4 = 0. Let m be (-50)\/(p\/(-5931)*18\/12). Round m to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327668*v + 17 = 5*l + 327666*v, 2*l = 4*v - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -4*q + g, -3*q - g = -19210 + 19169 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 174984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 + 127 - (-4 - 0 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21348651.\nAnswer: 3, 17, 418601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2*z**3 + 5064977*t**2 - 100*t*z**3 + 5*t - 3378*z**3 wrt t?\nAnswer: 2*z**3 + 10129954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 100 - 13*z - 8*z - 13*z - 4*z. Let x(d) = 8*d - 20. Let y(w) = -3*q(w) - 16*x(w). What is the first derivative of y(u) wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.57 times 0.05?\nAnswer: 0.1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 3 - 138156\/(-174).\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:59 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 55*y - 333. What is j(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -11*i**3\/3 - 899. Let g(z) = -54*z. Calculate l(g(x)).\nAnswer: -32076*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d - 3*d)*(4 - 4 - 1)*(-2*d - 5*d - 5*d)*(4*d**2 - 4*d**2 + d**3) - 3*d**4 + d**5 + 3*d**4.\nAnswer: -23*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y - 10*y + 54 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.237835928 + -0.3?\nAnswer: -1.537835928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1272, 11, -6 in descending order.\nAnswer: 11, -6, -1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7af7 (base 16) in base 13?\nAnswer: -11436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7676120 to the nearest one hundred thousand.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.64 - -0.64. Let o(d) = -2*d + 4. Let k be o(4). Which is the nearest to -1\/5? (a) k (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**4 - i**3 + 1. Let l(j) = 11*j**4 + 4*j**3 + 2*j - 4. Let g(q) = -l(q) - 4*o(q). What is the second derivative of g(a) wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (2 - 2)) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:26 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 31180.1 to the nearest one hundred.\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -11*v**4\/2 + v**3\/3 + v**2 - 28. Let y be d(-1). Let n = y - 1. Calculate the remainder when n is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9433 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -68, -0.5, 5, 2\/29?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose 4*x + 2*u - 62 = h, 4*x - 20 = 3*x - 5*u. Solve 3*i + x = 6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2953476um to kilometers.\nAnswer: 0.0000000002953476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-20)\/v**(5\/13))\/(v**(-2\/25)*v**(-5\/14)\/v) assuming v is positive.\nAnswer: v**(-86211\/4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49104 or -3?\nAnswer: 49104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:17 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 5:43 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7434216 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -322, -647, -972, -1297, -1622, -1947?\n\"Answer: -325*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.46941019 to 3 dps.\nAnswer: -1.469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 13. Let f = s + -8. Let d be -3 + (-9)\/6*20\/15. Which is the closest to f? (a) d (b) -2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3962991 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182125 and 21555375.\nAnswer: 5875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 16035, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 57049\nAnswer: -3\/57049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*r - 8, 8 = r + 4*r - 2*x. Suppose -o = -5*z - 0*o - 49, -4*z + 4*o - 36 = r. List the prime factors of 22\/(-55) + (-1284)\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9, 3\/17, 15, -1, 0.4, -0.1, -5\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 491313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -67047.\nAnswer: -2\/67047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.019 (b) -0.1 (c) -1\/2 (d) 112\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**2 - 7*j + 1. Calculate q(5).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, -66, -4, 1, -2 in ascending order.\nAnswer: -66, -4, -2, 1, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 18*i - 77. What is the tens digit of p(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 - 2*r**2 - 4*r + 6. Let p be x(2). Suppose -6*k - 232 = -p*k. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 4}. Give prob of sequence qqrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:12 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.87 + -0.03. Let z = 0.94 + h. Let n = z - 0.0400116. Round n to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + u**2)*(2*u**3 + u - 2*u + 0*u) + 20*u**5 + 34*u**5 - 83*u**5.\nAnswer: -27*u**5 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*q*s**2*y**3 - 97*q*s*y**3 + 219*s**2*y**3 - 2*s**2 wrt q?\nAnswer: 4*s**2*y**3 - 97*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 25\/2)*-2. Suppose 4*x - q - 51 = 0. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g**2 - 112 - 101 + 213 + 65*g**2 + 40*g**2.\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/9 (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biabbabbbiiib. What is prob of sequence iaii?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(5\/(105\/(-6))). Suppose s = 5*r - 66. Let q = 23 - r. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 2*t - 1. Let p be d(-1). Let b be 2 + 471*(-4)\/1290. Let o = 6\/43 - b. Is o > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -210, -205, -198, -189?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 3:45 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 372715.2 litres?\nAnswer: 372715200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -1250.\nAnswer: -3125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**3 + 2 + 50*j**3 + 82*j**3 + 6*j**3.\nAnswer: 113*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-7) + 4\/(-14). Suppose -2 = -t + 5*w + 18, 0 = 5*w + 20. Suppose t = -a - k + 52. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540979.5 litres to millilitres.\nAnswer: 540979500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 63600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 4484.\nAnswer: 4484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 3:44 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p + 13. Let o(h) = -5*h - 7. What is 5*o(w) + 3*s(w)?\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/3190 and 69\/13970.\nAnswer: 405130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6315001489733 and -0.34.\nAnswer: -6315001489733.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110.61 + 154.052. What is d rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 50 (b) 0.4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 7. Let h be p(7). Let f be (-1 + 6\/(-4))*(4080\/50 - 76). Sort f, 4, h.\nAnswer: f, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -1) + 46 + -3 + -50?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 13. Suppose -4*j + x = -3*j. Suppose 5*f = 4*u - 73, 0 = 2*u + j*f - 7 - 2. What is the greatest common divisor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1030913015?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/110704041 and -67\/273.\nAnswer: 1439152533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t - 3*t + t + 3*t + 0*t - t + 1 + (-2 + 1 - 1)*(0*t - 4*t + 3*t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*i - 6 = -i, 9*i + 171 = u + 11*i + 162 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*1*79\/((-71890)\/420).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 0*m**2 - 4*m**2 - 2*m**2 + 5*m**2 - m**2 + m**2 - 1 + 1 - 5*m**2 + 4*m**2 - m**2 + (3 - 2*m - 3)*(-1 + m + 1).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbgbwbbbbwb. What is prob of picking 2 b?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1560 = -4*w. Suppose 5*f - 3*f - w = -4*i, 0 = -4*i - 3*f + 314. Let u = -2520 + 2540. Calculate the remainder when i is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8 and 3\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 13*z**2 + 12*z + 4. Let q(s) = -6*s - 36. Let h be q(-8). Let u be m(h). List the prime factors of (u\/6)\/(2\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 6*k - 6. Let s be z(-4). Suppose -s*c = -6*c + 16. Let x = 0.2 + -0.1. What is the closest to x in c, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/84*-1*24\/(-16).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209700496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from mooxkymyyos.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3, -5\/138, -1, 2, -56\/5 in decreasing order.\nAnswer: 2, 1\/3, -5\/138, -1, -3, -56\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -f?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:52 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(208) + (sqrt(208)*1 - sqrt(208) - sqrt(208)) + 4 - sqrt(208)) + sqrt(208) + sqrt(208))*-5)**2.\nAnswer: 800*sqrt(13) + 5600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (8 - 2))*(-3)\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1825 - 14635\/8. Is v > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4587 and 24603.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/2903 - -95879\/58060. Let u = -30265\/12 + 2534. Calculate the common denominator of l and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -1032?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1366 - 0.1766. Which is the second biggest value? (a) l (b) -6\/7 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 12. Let r(g) = 11 + 3*g - 17 + j. Let c(f) = -2*f + 39. Let v be c(17). Give r(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -11. Let r(t) = -2*t**3 + 13*t**2 - 6*t + 5. Let m be r(i). What is the greatest common divisor of m and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1762 - 50. Let n be ((-6)\/9)\/((-8)\/o). Let q = n - -93. What is q rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 15480150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0 - 5. What is the third smallest value in h, -3, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -2. Let h = 7 - p. Which is the nearest to h? (a) -2\/7 (b) 4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*l + 19. Let n be l\/2*(-8)\/(-10). Is n <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*m = 4*x - 407, -328 = -4*x + 4*m. Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 at most -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4398778 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) 78 (c) 5882 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*h - 1726*u + 1730*u, -5*h = -4*u - 0 - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 6, -16, -2\/7 in increasing order.\nAnswer: -16, -2\/7, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:57 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/19 - -22\/57. Let z(r) = -r**2 + 14*r + 7. Suppose -x = -4*v - 2*x + 59, 0 = -5*v + 2*x + 64. Let p be z(v). Put 0, p, h in descending order.\nAnswer: p, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47071 is divided by 646?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -413, -834, -1255, -1676, -2097, -2518?\n\"Answer: -421*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.203 - -18.997. Let a = -27.9 + n. What is a rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207307333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*x = -0*p + 34, 0 = p - x - 8. Let t(y) = 3*y + 1 + 22 - p - 2*y. Let i be t(-13). Solve -f + 1 = 2*a + 2, 3*f + i*a = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 234 - 264 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 11. Let y = n - -23. Suppose p + 5*v - 12 = 0, 4*v - y - 17 = -4*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 63\/8 of a day?\nAnswer: 11340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from cahfaxcfcxffhcdafhcc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 232151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974931251.\nAnswer: 3974931251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2 - 1\/2*u**2 - u. Differentiate i(p) wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**14*z**(-18)*z*z*z**(3\/5)*z*z\/z**(-3\/2)*z assuming z is positive.\nAnswer: z**(-239\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3*w - 2*w)*(2*w - w + w)*(6 - 2 - 3 + 3 + 1 - 2 + 3 - 4 + 0 + 1 + 0 + 1 + (4 - 3 - 3)*(-3 + 6 - 4) - 16 + 3 + 0 - 2 - 1 + 2).\nAnswer: 112*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 3) + (-14 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 - -1.3. Let t = -2.3 - q. Let s = 2.3 - t. Which is the closest to -1\/2? (a) 2\/3 (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35642*y**3 + 25268*y**3 + 84266*y**3.\nAnswer: 73892*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6203 - -6208. Put -3, 2, d, -17 in decreasing order.\nAnswer: d, 2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 109, 269, 513, 853, 1301, 1869, 2569?\n\"Answer: 2*o**3 + 24*o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/8)\/(2\/(-24)). Suppose -i - 6 = -o. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7224655.\nAnswer: 5, 19, 113, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419101 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: What is the greatest common factor of 30149 and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7305 - -13125. What is b rounded to the nearest 100?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.22 - -1.2535. What is k rounded to 3 decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(189)\/sqrt(3) - sqrt(63)) + sqrt(63))\/(-3*sqrt(9)*-2).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by -5?\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/121, 2\/13, 4, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -13*j + 32. Is -7 - -8 - (-1080)\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*s**2 + 611*s**3 - 610*s**3 - 378*s**2 + 126*s**2 + 127*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8807*t - 17. Let o be w(-2). Suppose -29*a = -o - 1543. List the prime factors of a.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) 29 (c) 150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 6484 + 1432 = 0. Let x = 1152 - h. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -c - 4*c. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**3 - 4*z**2 - 4*z - 21. Let u(o) = -11*o**3 + 11*o**2 + 7*o + 43. Let a(l) = -5*n(l) - 2*u(l). Is 16 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 10.9, 4, 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4274551, 4274578, 4274605?\nAnswer: 4274632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + w - 2)*(3 - w**2 - 3) + 3*w**3 + 0*w**3 - w**3 + 3*w**3 + 0*w**3 + w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + -3 + -4 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*s + 1 + 87*s - 2*s**3 - 15*s**2 + 0 + 0 in the form v*s**3 + h*s**2 + r + t*s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0*w + 0 + 1\/6*w**3 - 2*w**2 - 1\/12*w**4. Is j(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 11.4?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/11211834 and -103\/78482838?\nAnswer: 78482838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 2\/(-3))\/(67150\/67110 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/56*174\/29.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2 + 15*z + 54 = 0.\nAnswer: -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 367188140 to the power of 1\/2, to the nearest integer?\nAnswer: 19162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/12980 and 79\/75284.\nAnswer: 376420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:54 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 16. Let t(y) = y**2 - 15*y - 5. Let k be t(16). Calculate the least common multiple of g(k) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*t + 494 = t, -293 = -3*d - t. Suppose 3 = f, 2*v - 4*f = 5 - 17. Suppose 2*c + v*c = d. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 159*h**2 + 247*h - 4. Let t(f) = -159*f**2 - 247*f + 3. Let n(i) = 3*k(i) + 4*t(i). What is the second derivative of n(v) wrt v?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 8*w - y + 26 - 7, 43*y - 23*y + 4 = 22*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -21041?\nAnswer: 21040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 + 389. Let z = 75 - 21. Calculate the highest common factor of z and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2652 + 63635\/24. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 2*k**7\/7 - 7*k**6\/10 + 3*k**5\/10 + k**4\/4 + 7*k. Solve o(w) = 0 for w.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 54*z - 11*z + 102*z.\nAnswer: -2*z**3 + 145*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(27 + (-8470)\/315).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -259 and -1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5501416 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 554\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 + -222.5. Suppose 0 = w + 2 + 4. Let g be w\/(-20) - (-1)\/(-2). Sort k, g, -6\/5 in decreasing order.\nAnswer: k, g, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, 2, 55, 146, 287?\n\"Answer: 2*d**3 + d**2 + 10*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776881 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: What comes next: 267, 287, 319, 369, 443, 547, 687, 869?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012212 + 22122?\nAnswer: 10112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 - 200.0000644. Round q to 6 dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4753449 - 141572.62?\nAnswer: -141574.0953449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 785292297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76541?\nAnswer: 76541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -898 + 898.0409. What is d rounded to three dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 575 divided by 9237\nAnswer: 575\/9237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6068 and 12218.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 q when four letters picked without replacement from hwqwhhh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**5*l**3 + 1365*j**4*l**3 + 1179*j*l**3 - j - 2*l**2 wrt j?\nAnswer: 80*j**3*l**3 + 16380*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -55, -54, -53, -52, -51?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 + (-202 - (15 + -68)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from yvv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*t + 286*t + 96 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 18410506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 68 = l + 61, 34 = 2*l + 2*y. Solve -l*c - 22*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(8\/11)\/z*z**4 assuming z is positive.\nAnswer: z**(41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 1, 5\/36, 0.3, -2\/27?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u**3 + 55*u - 116*u + 61*u + 19*u**3.\nAnswer: -39*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -378856 plus 10.6?\nAnswer: -378845.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(-r - 2*r + 2*r) - 3 + 3 + r + r - 2*r - 7*r + (-4 + 4 + 1)*(0*r + r - 2*r) - r - 3*r + 2*r to h + g*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Suppose -j*k + 3*c + 2 = -5, 0 = k - 5*c. Calculate the greatest common divisor of k and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(4 - 10*w + 4 - 10)*(2*w + 0*w - 4*w) as i*w + x*w**2 + y and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 2*p)*(2 + p - 2) + (0*p - p + 2*p)*(4 + 4*p - 4) + 4*p**2 + 0*p**2 - p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 206681707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 172, 688, 1550, 2758, 4312, 6212, 8458?\n\"Answer: 173*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/2 - 47*v**4\/2 + 8050*v**3 - 420400*v**2 + 7408000*v - 27520000 = 0.\nAnswer: -172, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 18, 17, 20, 33, 62, 113, 192?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 4, b: 3, s: 5}. Give prob of sequence sby.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5460 - 49072\/9. What is the common denominator of -35\/27 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o*s*u - 1455*o*s - 45*o*u + 2*o + s*u + 5*s - 369*u - 2 wrt o?\nAnswer: 3*s*u - 1455*s - 45*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -27*f**2 + 12*f - 38311. Let p(c) = c**2. What is d(p(j))?\nAnswer: -27*j**4 + 12*j**2 - 38311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*o + 14 + 4, 3*x - 2*o = 24. Let f = 7 - 4. Let u = -18 + 26. Solve x = -u*z + f*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 12*q**2 + q - 3. Let v be i(12). Let r(c) = c**3 - 10*c**2 + 9*c + 4. Let y be r(v). Suppose 89*k - 86*k = 6. Solve 0 = -y*a + k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:08 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/15)*n*n)**12*(n*n**2)**(-3\/37) assuming n is positive.\nAnswer: n**(6911\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/16)\/(15\/(-18)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j**2 - 2*j - 3. Let s be t(-1). Suppose -s = -7*q + 13. Let h = -16 + 26. Solve h = -q*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -26953*v. Let z(s) = -53*s. Calculate z(p(t)).\nAnswer: 1428509*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5548*g**3 + 15*g**2 + 88*g wrt g?\nAnswer: 33288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from iycgj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 282556959 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let r = -101 + 28. Let a = 75 + r. Let q(n) = -85*n**2 - 76*n**2 + 167*n**a. Give l(q(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2)\/(-4))*288\/120?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126400 and 820050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + u - u)*(10 - 6 + 1)*(36*u - 28 - 7*u - 16*u) to m + q*u + n*u**2 and give n.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(30*(-6)\/27)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 247*a + 251*a + 20, -5*t + a = 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(4\/3)))\/(w*w**(2\/7)*w)*w**(-1\/5)*w\/w**(1\/3) assuming w is positive.\nAnswer: w**(-17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -41.84?\nAnswer: -41.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4546 (base 7) to base 12\nAnswer: -b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.6 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62618841 to the nearest integer?\nAnswer: 7913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -103\/7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101120121120021 + 200?\nAnswer: -101120121112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144722 = -15*b + 114778. Suppose b = 24*s + 404. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9224 - 26505 - 4*h - 23316 + 6953.\nAnswer: -4*h - 52092","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.872 to 1 decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17911*p**4 - p + 18992 with respect to p.\nAnswer: -71644*p**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 652 - -aa?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612894393.\nAnswer: 3, 103, 557, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/4*8\/10. Let f(m) = m**c + 0*m**2 - 2*m**2. Let i(w) be the third derivative of w**4\/4 + 2*w**2 + 22*w. Determine f(i(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4249097943 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7518 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j**3 + 5*j**2 + 2*j. Let x(b) = 16*b**3 + 4*b**2 + 2*b. Calculate 5*g(s) - 4*x(s).\nAnswer: 6*s**3 + 9*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1660, 1653, 1640, 1621, 1596?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*l + 27510 = 274*l - 410*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24534 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/283 (b) 4\/5 (c) 5 (d) -0.01 (e) -5 (f) 6 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1260 (base 7) to base 16\nAnswer: 1e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/37))**34\/(y**(10\/3)*(y*((y\/(y*y\/y**(-11\/4)))\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(257\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/2 - 2170*f**3 + 3531675*f**2 - 2554578250*f - 521. Factor p(m).\nAnswer: 2*(m - 1085)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36349880 rounded to the nearest 10000?\nAnswer: -36350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (0 - 4) - ((37 + -19 - 3) + -24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -4\/3, 0.074, 3, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5480*c**3 + 2928*c?\nAnswer: 32880*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/15)*q))\/(q*q**(-2\/13)) assuming q is positive.\nAnswer: q**(-191\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 5 - 3*s**2 - 2*s + 4*s**2. Let p(o) = -o**2 + 4*o - 4. Determine -5*k(z) - 6*p(z).\nAnswer: z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64311 and 88621?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 16445187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*m - 6557, 0*m + 3275 = 2*m + 5*y. Let l = 27 + -25. Suppose -3 = -3*w, -2*w = -l*f + m + 316. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154254504 (base 6) to base 3\nAnswer: -20012002122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121) + 6*2*sqrt(121) + -2*(sqrt(121) + 2*sqrt(121)))\/(-1*((sqrt(396) - sqrt(396)*-2 - sqrt(396))*6 - sqrt(396))).\nAnswer: -4*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 26. Suppose x*h + 5*h = -f + 30, 0 = 5*h - 5*f - 30. What is the smallest common multiple of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -31\/11, -3\/559, 2, 2\/3, -1.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 229803031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 486 - 460. What is the remainder when 105 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 0. Let r(p) = -p**2 + 9. Calculate r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 48 - (0 + 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*-1*2\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111209 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 -17 divided by 18949663?\nAnswer: -17\/18949663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1075\/1075)\/(34\/(-8)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**8\/14 - 11*o**7\/42 - 3*o**4\/4 + 5*o**2\/2 + 3*o - 8. What is the third derivative of l(m) wrt m?\nAnswer: 480*m**3 - 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35431.333476738 + -35868.0334727. Let i = h - -436.7. What is i rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + 187. Suppose 0 = -3*z - 12, 3*z + n = 2*u - 286. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-20)\/(-30))*18. Which is greater: f or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002157287 rounded to 6 dps?\nAnswer: 0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342482 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 0)*(-2 + 3 - 4 + (-5 + 3 - 1)*(0 + 2 - 9))*(0*g - 2*g + 5*g) to the form t + d*g and give d.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, t: 2, q: 1, o: 1}. What is prob of picking 1 t and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323830960 is divided by 2670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1715 + 20705. What is t rounded to the nearest one hundred?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 2*l - 2*l)*(l - 2*l + 3*l) - 5*l**2 + 4*l**2 - l**2 - l**2 - 2 + 2 + 309 - 315 - 6*l**2 - l**2 to the form d + j*l**2 + k*l and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/5))\/a)**(-4\/3)*(a**(2\/5)\/a*a)**(-6\/13))\/((a*(a\/a**(9\/2))\/a)\/a*(((a**(-4)\/a)\/a*a)\/a*a)\/a)**37 assuming a is positive.\nAnswer: a**(151651\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -9. Let l = -63 - -140. What is the greatest common divisor of f and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzbbzrrzzrrzzmb. Give prob of picking 1 w, 2 b, and 1 m.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a + 1. Let s(r) = -330*r + 52. Let z(t) = 6*l(t) - s(t). What is the hundreds digit of z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.649 + -15.6464996. What is p rounded to five dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2003.7 + 2004. Sort -1, z, -2\/2985 in ascending order.\nAnswer: -1, -2\/2985, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 362, 725, 1088, 1451, 1814?\nAnswer: 2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4316132 - 0.0614.\nAnswer: 4316131.9386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111 - -10001?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3729, -14993, -33793, -60135, -94025, -135469, -184473, -241043?\n\"Answer: -z**3 - 3762*z**2 + 29*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k - 283. Let c(l) = -2*l. Determine c(g(v)).\nAnswer: -22*v + 566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78154.\nAnswer: 2, 23, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -1, 3, -1\/77?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320.25097539 plus -1?\nAnswer: 5319.25097539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6975*f + 20924. Let z be y(3). Let x be 1 - (-5)\/(2685\/(-528)). Is z bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -3*h**3\/2 + 24*h**2 - 3082*h. What is u(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5912, 11824, 17736, 23648?\nAnswer: 29560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 5*m**4 + 14*m)*(-35 - 24 + 47) + 28 - 28 + 8*m**4.\nAnswer: -52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -4)*2\/(-12). Let a = -122 + 122. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522484 to the power of 1\/2, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 355*a + 315*a + 12.\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 1. Suppose -7 = -5*v + 8. Let o be k(v). Let h be o - (-2 + 4\/(-2)). What is the greatest common factor of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 34*r + 0*f - 3*f + 513 = -34*r, 3*r = f - 94 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 + 3*s - 2. Let z be u(2). Let x = z + 40. Calculate the highest common factor of x and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*i + 204 = 133*i. What is the highest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -565 - -425. Let r = p + 139. Which is the closest to 2\/5? (a) r (b) 1\/4 (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*y - 413304, -2 = -5*r + 8. Let s = y + 153660. Round s to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*1\/1*1. Sort 0.2, g, -2\/19 in increasing order.\nAnswer: g, -2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f + 12*f**2 + 42*f**2 - 32*f**2 - 49 - 124 wrt f.\nAnswer: 44*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -105*c - 286. What are the prime factors of j(-6)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7305 divided by 15?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 2*k**2 - k + 1. Let o be p(-2). Suppose -5*r - 4 = -9. Put -5, 0, o, r in ascending order.\nAnswer: -5, 0, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -2, 1, 6, 204 in ascending order.\nAnswer: -7, -2, 1, 5, 6, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Suppose y*j - 202 = -3*i, -2*i - 9 + 212 = 5*j. Suppose 32*d - 4375 = -3895. Calculate the remainder when j is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 10:25 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251.43 - 306.069. Round u to zero decimal places.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 42*t + 1219 = 37*t, -1207 = -3*p - t. List the prime factors of p.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 176916915.742 and -234.\nAnswer: 176916681.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 - -0.12. Put -1\/3, k, 2\/9 in decreasing order.\nAnswer: k, 2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -35. Suppose -3*w + 4*c + c + 10 = o, -8 = -3*w + 4*c. Let q be 34\/(-40) + 1 + 0\/1. Which is bigger: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g**3 + 301*g**2 - 148*g + 135. Determine o(21).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288200, 576298, 864396, 1152494, 1440592, 1728690?\nAnswer: 2016788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1257)\/(711\/(-171) - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -355 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 - -178. Suppose f = 5*c - 5, z + c + c = 4. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 114*x\/5 - 134487.\nAnswer: (x - 765)*(x + 879)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3 - 11. Let z = d + -4. What is y in -2\/3*y + 2\/3*y**5 - 4\/3*y**2 + 0*y**3 + z + 4\/3*y**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, j: 1, c: 3, t: 1, g: 4, b: 2}. What is prob of picking 2 a and 1 g?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/57 or -1?\nAnswer: -26\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, -2, 3, 10?\n\"Answer: c**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2 - 3*o + 10. Let h be v(4). Let f = 286 + h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10030010 (base 4) to base 6\nAnswer: 211232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h + 1374 + 1506. What is the remainder when h is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 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: Simplify s*((s\/(s\/(s**(-4)\/s*s)))\/s)\/s*s**(-2\/17)*s assuming s is positive.\nAnswer: s**(-70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (0 - 25 - (-37 + 67 - 26))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/12 - (8 - 9). Which is the closest to 1\/3? (a) 3 (b) 5\/6 (c) -1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-12))\/(5\/6). Solve -y = 3*i + 3, -g*y - 4*i = i + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -958\/3 + 322. Let j be (18\/(-27))\/(8\/(-966)). Let i = -84 + j. Find the common denominator of h and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/395, 0.4, 0, -6, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/161 or 9\/4?\nAnswer: -8\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, 4, -92, 2\/3, 25, 126\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 (base 13) in base 2?\nAnswer: -100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351029 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01283403 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(140\/85390035) - (5 + (-99)\/21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 27*f + 12. Let j(z) = 3*z + 22. What is j(c(p))?\nAnswer: -3*p**2 + 81*p + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 1 + 1)*(3 - 1 + 0) + 10 - 10 - 11*d - 12 + 30 - d + 13 in the form s*d + m and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2016 is divided by 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(117) + -1)**2.\nAnswer: -24*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 97335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.46522 decades in years?\nAnswer: 234.6522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*w + 2, k + 3*k + 7 = w. What is the lowest common multiple of 11 and (w - -11) + 2 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1352, 1357, 1380, 1427, 1504?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1386 - 11085\/8. Let v = 3.4 + -0.4. Does m = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6*p + 852 = 0, 29*k - 30*k = -5*p - 256. Calculate the highest common factor of k and 8464.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n + 25*n - 13*n + 15*n**2 as f + a*n + k*n**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 2*p. Suppose 0*l - 4*l**2 + 2*l**2 - p - 6*l = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 5) to base 3.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 6 + 4 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*h**6*k + 118925*h**6 + 3*h**2*k + 379806*h*k wrt h.\nAnswer: -1560*h**3*k + 14271000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aamaammv. Give prob of picking 1 m and 2 a.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-5)\/(10\/4). Let l = 0 + i. Let x = 5 + l. What is the nearest to 1 in -2\/11, x, -3\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4556 times 6.4\nAnswer: -29158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 + 185. Let f = 18 + -9. Let r = f - o. Solve 4*t - a + 3 = r, 0*t - 3 = t - a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29112, -58209, -87284, -116325, -145320, -174257, -203124?\n\"Answer: 2*r**3 - r**2 - 29108*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 780 + 357 = 3*i, f = -5*i + 1899. Which is greater: 759\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 3*i**2 - 2*i + 4. Let t(n) be the third derivative of -n**3\/6 - n**2. Let y = 2638 - 2634. Determine y*t(a) + x(a).\nAnswer: -2*a**3 - 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5598\/11 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - 4 - -110) + 17 + (16 - 25)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -242374 divided by 519\nAnswer: -242374\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 less than 5.59?\nAnswer: 5.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11899750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (894 - 51 + 462)*(-1 + 0 + 0)*(0*w + 3*w - w) to y*w + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 4*b**2 - 4*b. Let z be w(-3). Suppose z + 5 = y. Solve -12 = 4*n, -4*k + y = -3*n - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23913 divided by 56?\nAnswer: 23913\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p**2 + 3990*p + 5192. Calculate a(236).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 4*v - v + 9*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -99, -1\/4, -0.041, 1?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52330415 (base 7) to base 15.\nAnswer: -5c1db5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -588 + 587.6. Let p = -3 - -6. Put p, -2\/3, r, 0.03 in descending order.\nAnswer: p, 0.03, r, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/h*(h*h**(-2\/3))\/h)**(-3\/10)\/((h**2\/(h**(-3\/4)\/h))\/(h*h*h\/(h*h**(-2))*h)**26) assuming h is positive.\nAnswer: h**(495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 17*o = 270. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/132 - (-3640)\/55 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6736)\/(-608) + 22*(75\/6 + -13)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/72 and 173\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c + 5*c + 3*c)*(-c**3 + 0*c**3 - 2*c**3).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*u + 7 - 1, 0 = -3*t - u + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*t*y + 30*g*t + 12*g*y + 14*g - 117*t*y - t wrt y.\nAnswer: -4*g*t + 12*g - 117*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 344578*o - 2756620. Determine d(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -282 smaller than -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21012 + -12?\nAnswer: -21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 186756, 186732, 186708?\n\"Answer: -24*t + 186780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (11*(-6)\/363)\/((-2)\/11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23850 - -23853. Solve -t - 17 = -l*q, -2*t = 2*t + 5*q - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/2 + (-6)\/11 + 621\/(-253). Put -4, 5, l, -5, -0.06 in decreasing order.\nAnswer: 5, l, -0.06, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**2 - 1 - 3*q + 4*q + q. Let h(j) = 36*j**2 - 9*j + 4. Let o(a) = 9*c(a) + 2*h(a). What is the derivative of o(d) wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86070 plus 1.094914?\nAnswer: 86071.094914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1a7 (base 14) to base 4\nAnswer: -11113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = z - 5*b - 4, -4*b = 3*z + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*l. Suppose -78 = -3*v - 2*r - l*r, -v + 3*r = -37. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*g - m, -2*m = -g + 9. Is 2\/71 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7649 < -7651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 1. Let n(c) = 3*c - 11. Let j be n(4). Let t be (j + (-64)\/60)*-6. Put l, -2\/7, t in ascending order.\nAnswer: l, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 37. Let u(s) = 16*s**2 - 35*s + 16. Let o(n) = -1 - 4*n + 7 + 3*n**2 - 3 - 3*n. Let b(k) = w*o(k) + 2*u(k). What is b(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -136 + -2?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 95.435?\nAnswer: 0.95435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6 and 1\/195167830.\nAnswer: 585503490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 167771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 634557 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k + 4 = -26*k - 5*a, 0 = 3*k + 2*a + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 5, c: 6, q: 3, b: 1, s: 1}. Give prob of picking 2 c, 1 b, and 1 s.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66742 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, -4, 17, -97, -1 in descending order.\nAnswer: 20, 17, -1, -3, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 135*m**2 + 137*m + 120. What is t(134)?\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.007 (c) 5.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -72983\/2 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2363\/11 + 215. What is the nearest to v in 3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 + 261. Let s = -2 - -1. Let i = 0.455 - 0.155. What is the nearest to s in f, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1033.603 + -82.273. Round c to the nearest ten.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 - 5*o + 4. Let g be b(4). Let r(s) = 15*s. Let h be r(1). Suppose -4*a = a - h. Solve g = i - a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 9*w + 3. Let h be q(9). Let u be 1\/(-3) + 6\/(-9). Let i = h + u. Solve -i*k + 8 = 2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**9\/4536 - a**7\/630 + a**5\/180 + 4*a**3\/3 - 3. Let s(y) be the third derivative of g(y). Let s(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:48 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000223785361 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144256 and 324576?\nAnswer: 1298304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17926 + 17944 = 6*o. Factor 0 + 6\/11*x**4 - 6\/11*x**o + 2\/11*x**2 + 0*x - 2\/11*x**5.\nAnswer: -2*x**2*(x - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y - 3. Suppose 2*c - 1 = 5. Suppose b - 5*g - 435 = -y*b, 2*g = c*b - 328. What is the greatest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115 - -52) + -84 + -46?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -53*f**7\/21 + 50*f**4 - 768*f. Find the third derivative of d(c) wrt c.\nAnswer: -6360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(-3)*(0 - 1). Suppose -6*o = -11*o + y. Suppose -10 = -o*h - 2*k - 2, 3*h - 43 = 5*k. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 506248677.\nAnswer: 506248677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*b - 5*c, -4*b - 2*c + 0*c + 12 = 0. Let w(x) = -9*x + 1. Let t be w(-1). Let q = 12 - t. Do q and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2982.\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 2442416.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7994 divided by -14\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 y when four letters picked without replacement from fyfyfyffffffffffff.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1023 - -42?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15 + 130\/10 + (0 - 2). Let v be 180\/16 - (-5)\/r. Solve 5*s + 15 + v = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from ltsdgtt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 + 1 - 7*j**2 + 6*j + j - 2*j. Give v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75087000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44568, 44565, 44562, 44559, 44556?\n\"Answer: -3*o + 44571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (15 - -8 - 47)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-12) + 10\/(-6). Is 1\/(2\/(-398)*g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (0 - -11) - 1. Let v = s - -5. Let y(c) = -6*c - 1. Let d(j) = 10*j - 9. Let n(f) = -f + 2. Let x(i) = -d(i) - 5*n(i). What is v*x(k) + 6*y(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:09 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**3 + o + 0*o**2 - 2 - 3*o**3 - o**2. Let c be k(2). Let y(r) = -176*r + 176*r - c*r**2. Let i(d) = -d**2. What is y(i(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 102 + 258 = 5*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 236*v - 970. Determine l(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 382348749 rounded to the nearest one hundred thousand?\nAnswer: 382300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6339 = -3*j - 4*m, m + 112 + 8321 = 4*j. Round j to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15110.\nAnswer: 2, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2*y**3 + 0*y + 0*y) + 595*y**3 - 81*y**3 - 42*y**3 + (-y**2 + y**2 + y**2)*(4*y - 2*y + 0*y).\nAnswer: 478*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i**2 + 12*i - 13. Let c be n(-7). Suppose -3*z - p = -c, 147 + 318 = 4*z - 5*p. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(3))*-1 - (0 + sqrt(243)) - 1*sqrt(300)*3.\nAnswer: -43*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**3. Suppose 0 = 3*d + 4 - 1. Calculate c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 11*g**4\/24 - 23*g**3\/6 + 67*g**2. Suppose d = -4 + 16. What is the least common multiple of b(3) and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*a**4 - 17*a + 17*a + (-2*a - 2*a + 2*a)*(-6*a**3 + 0*a**3 - 2*a**3).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -110731 from 0.16.\nAnswer: 110731.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1634 is divided by 104?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82*v + 815*v - 69*v - 138*v)*(-3 + 0 + 7) to the form t*v + r and give t.\nAnswer: 2104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 28*d - 12. Calculate j(-27).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 978*v**3 + 4*v**2 - 4*v - 4. Let r(p) = -204408*p**3 - 835*p**2 + 835*p + 835. Calculate 835*q(k) + 4*r(k).\nAnswer: -1002*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 7. Suppose -3*b + s*b + 36 = 0. Let n be (b\/(-10))\/(14\/35). Solve 0*g = n*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29173\/41844 + 7\/951. Let t = r - -1073\/1100. What is the common denominator of t and -53\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 5. Let v be c(-2). Suppose v*b + 4*o = 28, -3*b = 5*o - o - 20. Let u(p) = 13*p - 8. What is the units digit of u(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*u**2*x**4 - u**2*x**3 + 6*u**2*x**2 - 34*u*x**2 wrt x.\nAnswer: 432*u**2*x - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 r when three letters picked without replacement from ppppprkpypprp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0 (c) 0.07 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 + 55*p + 34. List the prime factors of o(-23).\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652046160 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o + 27*o = 27*o - 210 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/181 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 3 + 3)*(4*w - 6*w - 20*w).\nAnswer: -44*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - (-130)\/(-105). Let j = d + 211\/210. Find the common denominator of j and 55\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 + 15 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249927.\nAnswer: 3, 227, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h - 25 + 73. Suppose -z - 10 = -4*i, -h*z + 3*z = 2*i + 16. Let a be 12*(-7)\/(63\/z). Solve 4*n = 2*n - a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/80)\/(3\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -1\/8*n**4 - 1\/60*n**5 + 2*n**2 + 0*n + 0 + 0*n**3. Factor z(f).\nAnswer: -f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 3*14\/6. Suppose -c = -4*w + 4, 28 = 4*w - 0*w + o*c. Suppose 4*b = -j - 13, j + w*j = -4*b - 15. Which is smaller: j or 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(42)\/(4*sqrt(12)))\/(sqrt(70)\/sqrt(250) - sqrt(35)\/(sqrt(5)*-3)).\nAnswer: 45*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-95)\/(-10602)*36) + (-2)\/6?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18837 + 18843 + 18831 - s**3 - 56511.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162716576 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-2156)\/66)\/49)\/(8\/3))\/(98\/168)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152962.4649 rounded to the nearest one hundred?\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*15\/(-25).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*d + 28*d = 219 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.8841169 rounded to 3 decimal places?\nAnswer: -44.884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {v: 3, w: 13}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24 (b) 3 (c) -2 (d) 366\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(-1*sqrt(512)))**2 + (sqrt(6300) + 1*sqrt(6300) - sqrt(6300)).\nAnswer: 7\/64 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((-12)\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 + 355.5. Suppose 2*v + 3 = -f, 3*f - 24 + 25 = -2*v. What is the nearest to f in -5, q, 18, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywwyveyyyyyv. What is prob of picking 1 w and 1 y?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1280\/8)\/(-8)*3\/(42\/(-14))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 + 102. Suppose -u = -a*v + 42, 3*u + 14 = v - 12. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/106 and -71\/7249340?\nAnswer: 7249340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (2 - -2 - 5) - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**12\/j))\/((j\/(j\/((j*j**(-14)*j)\/j*j)*j))\/j*j))**14*(j**(-2\/5))**(1\/8)*(j**(-2))**39 assuming j is positive.\nAnswer: j**(-721\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10678597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111 (base 3) to base 7.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52251 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 2, -199164, -1.\nAnswer: -199164, -5, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((1*sqrt(208) + sqrt(208))**2 - (0 + sqrt(13) + 0 + sqrt(13) + sqrt(13))) + 2)*5 + -1.\nAnswer: -75*sqrt(13) + 20849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.8668 * -4.7\nAnswer: -4.07396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7\/5, -1\/4, 5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 87.660548 from 0.16.\nAnswer: -87.500548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 5. Let i be b(6). Let y = 1 + i. Solve -5 = -y*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31269857 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2148 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -367630 + 60223. Let z = k - -307413.99998. Let o = -7 + z. Round o to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-16) - (-836)\/64. Suppose 0 = -11*r - b + 24. Solve 0 = -2*s - 3*i - 19, -3*s + 2*i = r + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 921.0389 years to decades.\nAnswer: 92.10389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -56287 (b) 0.2 (c) -0.4 (d) 2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 16. Let d = 7 - u. Suppose g + 1 + 1 = 0. Are g and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2685922 by 46309.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17.697ug?\nAnswer: 0.000000017697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = o. Let m = 19732 - 19716. Calculate the greatest common divisor of o and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 plus -17?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 1:17 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2975259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) - -2*sqrt(400) - sqrt(400))\/sqrt(2).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k. Let a(n) be the third derivative of -n**7\/1260 + n**4\/24 + 3*n**2. Let l(h) be the second derivative of a(h). Give q(l(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 635\/975 - 1146\/1910?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/12*-3*1\/(45\/3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18326 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -0.14, 0.05, -1\/3, 0.4, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 42. Let z be (4\/(-5))\/((-6)\/h). Suppose 0 = z*j + 28 - 74. What is the highest common factor of j and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*-3*1*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(1 - (-30)\/36*-1)*-1. Solve 3*h = -2*l, 0 = -r*l - 3*l + 2*h - 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46666034*i**3 + 87829421*i**2.\nAnswer: -279996204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 8*b**2 + 39*b - 166. Let a be k(6). Put 0, a, -10, -1 in descending order.\nAnswer: 0, -1, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 5 - ((-3)\/(-1) - 2). Solve 0 = 4*v - 4, d*z - 5*v = -z - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 61 = -2*z - 3*h, 67 = 2*z + h. Suppose -4*j + 36 = 4*w, -2*j + 12 = 2*j - 2*w. What is the highest common factor of j and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 42*f - 126. Let p be q(3). Sort 5, 118, 1, p.\nAnswer: p, 1, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 253 - 346 - 365.\nAnswer: 2*n - 964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1714007, 1714008, 1714007, 1714004, 1713999, 1713992?\nAnswer: 1713983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p + 253. Let c be z(-23). Solve c = 4*m - 0 - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**6\/30 - g**5\/20 + 11*g**4 - 1655*g + 1. Determine s, given that j(s) = 0.\nAnswer: -12, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101110101010010011 (base 2) to base 5\nAnswer: -140343121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/6*9\/54*-9. Suppose 4*g - g = 15. Solve q*w + 5 = -g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.251, 0.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 249\/54 + 25\/(-150) and -44\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2 - 4*m - 4. Give f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u - 990 = -4598 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 2.3. Let m = -20 + 37. Let w = -21 + m. Which is the third smallest value? (a) w (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2\/33*k**3 - 2 + 2\/11*k**2 - 2\/11*k. Solve o(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*f = -147*f - 2597 + 884 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 3. Suppose 0 = -3*j + 5 + f. Suppose j*y - 283 = -5*v, 5*v - 3*y - 263 = -0*y. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*3\/84*176\/550?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(833)*-2 + -4)**2 - (sqrt(833)*-1*4)**2)*-2.\nAnswer: -19960 + 224*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v**2. Suppose 0 = -5*j + n + n + 16, 4*j - 14 = 2*n. Suppose 3*z + j*z = 50. Let y(f) = -9*f - 2*f + z*f. Give u(y(t)).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -74, -100?\n\"Answer: -26*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 1. Let t(n) = n - 4*n - 3*n + 7*n. Suppose -4 = 4*k + 8. Let g(h) = k*t(h) + 2*a(h). What is the derivative of g(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - c**2 + 2*c**2 - 8*c**2 - 6260*c + 8*c**2 - 153*c.\nAnswer: c**2 - 6413*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -25. What is the least common multiple of 10 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5780 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + t - 8 + 6)*(-t**3 + 0*t**3 + 2*t**3).\nAnswer: t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(-2*3*sqrt(2299))**2 + 1)*-5 + -4.\nAnswer: -413809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248 + -107. What are the prime factors of u?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 561947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51209 or 51220?\nAnswer: 51209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*g = -14, 8*f + 173 = 9*g - 156 + 317 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhaaaaahoaaaaaoo. Give prob of picking 1 o and 1 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 0.2 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23277967 rounded to 3 dps?\nAnswer: 0.233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3222*k**3 - 1506 - 5772*k**2 - k**5 + 13*k**5 + 228 - 15*k**5 - 4479*k - 654*k**4 = 0. Calculate k.\nAnswer: -213, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.24 + 0.16. Let i be 5 - (0 + (-169)\/13). What is the third biggest value in -5, g, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139353*v - 459607*v - 204042*v.\nAnswer: -803002*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 5*a**2 + 3*a. Let n be t(4). Let d = n - -8. Solve -5*q + 5 = 4*p + d, -p - 6 = -5*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -99. Suppose -5*w - 5*n - 37 = -42, 2*w + 4*n + 2 = 0. Solve w*i - a*i = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -12, 1, 16, 8 in descending order.\nAnswer: 16, 8, 3, 1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67979800 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 11. Let c be h(8). Suppose -2*w + 46 + 146 = 0. Suppose j = -c*j + w. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*(-1029)\/882.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1590 * -1483.\nAnswer: -2357970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(3*l**4 - 4 + 4 + (-3*l**2 + 3*l**2 - l**3)*(6*l - 5*l + 0*l) + 165 - 165 - 15*l**4).\nAnswer: 39*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 t, and 1 m when four letters picked without replacement from hfmtftmtftmkhfmt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/4*(-4)\/5*-10\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 18 - 22, -4*s = 2*m - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdvqtqotd. Give prob of picking 2 q and 1 o.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 581, 873, 1165?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7))**(-6\/11)*l**37*l\/l**(1\/14) assuming l is positive.\nAnswer: l**(6429\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 273994351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 213589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 + 173. Which is the biggest value? (a) k (b) -0.36 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/165 and 43\/6164445?\nAnswer: 67808895","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/70 and -89\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 4*b**2 - 6*b - 6. Let g be o(5). Let x = -18 - -19. Let f be 4 + -6 - -1*x. Put g, f, -2 in increasing order.\nAnswer: g, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50179 and 1444.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044 + 25.044. Let n = w - 24. Let g = -0.1 - 2.9. Which is the nearest to 2? (a) g (b) n (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 618400 = 20*y. Let f = -26027 + y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 29. Suppose -5 = -3*i - 2*i, 5*h = -i + 211. Let d = h - -68. Calculate the greatest common divisor of f and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8212 divide 552824177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.257 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1202311 - -3?\nAnswer: -1202303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6 = -2*a, 5*h + 5*a + 0 = -15. Suppose y + y = h. Let z be 3*8\/(-6) + y. What is the nearest to -0.1 in 1\/5, -2, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-22)*(-1 + 0 - 1). List the prime factors of ((-6)\/12)\/(f*(-2)\/568).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(21) + sqrt(21))*-2 + 4*sqrt(336))\/(-1*(sqrt(21)\/(sqrt(6)\/sqrt(2) + sqrt(3)) + (sqrt(7) - (sqrt(7) + sqrt(63))*6) + sqrt(7))).\nAnswer: 40*sqrt(3)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-1530)*(-1)\/(-3)*2*-3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -7. Let x be -50*(4\/(-8) - 0). Suppose -3*v - b + x = -3*b, 11 = v - 2*b. Solve v = 2*k - 4*k + 3*r, -2*k = -a*r + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 48 = 5*s, 8*y + 16719*s - 16716*s + 68 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 0)*(-2*t - 2*t + 5*t + (0 + 0 - 7*t)*(3 - 5 + 0)) to k*t + x and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 6) to base 13\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 250*x**2 + 28. Let q(j) = 999*j**2 + 117. Determine 6*q(u) - 25*z(u).\nAnswer: -256*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -6124.229 + 6128. Round t to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -24. Let s be (5 - 28\/6)\/(3\/2). What is the nearest to -2 in s, b, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i - l = 0, -3*l = -i + 4. Let f be (-2)\/(-2) + (-1 - 1). Sort i, 5, f.\nAnswer: i, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - k**2 - k - 4. Let v(l) = l**2 - l - 1. Let f = 305 + -304. Calculate f*v(o) - q(o).\nAnswer: 2*o**3 + 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 6, 0 = 4*q + k - 6780. Let s = -5149\/3 + q. Find the common denominator of s and (-5298)\/(-264) + (-2)\/(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 0 - sqrt(19)) + 4.\nAnswer: 4 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*r = 7, -74*r + 69*r = 2*z - 9 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3 - 49*j**2*t - 2*j**2 + j*t - 2*j - 18 wrt j?\nAnswer: 12*j - 98*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009202 to 5 decimal places.\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7540, 8032, 8524, 9016?\nAnswer: 9508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 205556*y - 1644352. What is w(8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 1 - 2. Let h(t) = -t**2 + 179*t - 1203. Let f be h(7). Put m, 4, 2, f in decreasing order.\nAnswer: 4, 2, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1476444 by 183.\nAnswer: -8068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.193 + 0.017. What is the closest to z in -1\/2, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20995 and 71953570.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4*t = -228. Suppose 3*m + 5*a - 124 = 0, 0*m + 2*m - t = -5*a. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 24*w**2 + 79*w + 29. Let t be k(20). Let v be (-12)\/t - (-264)\/9. Calculate the highest common factor of 308 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317223 to the power of 1\/2, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m**2. Let t be o(2). Let z(w) = 5*w**2 - w - 4. Let q be z(4). Let p = q + -12. What is the highest common divisor of p and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + (0 + 2 - 4)*(3 - 3 - 1) + 0 - 1 + 0)*(-589*c + 13*c**5 + 592*c + 2*c**4 - c**4).\nAnswer: -13*c**5 - c**4 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/6 - 2\/6. Suppose -2*u - 8 = i, -g*i - 4 - 2 = 0. What is the units digit of (-2)\/u*(3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5368 or 928706\/173?\nAnswer: 928706\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1 + (16 - -3407) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29230537 minus -0.08?\nAnswer: -0.21230537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00573343 rounded to 4 decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5196330 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(200) + -1 - (-3*sqrt(200) + 5)**2.\nAnswer: -1826 + 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 10. Let y be s(-7). Suppose -y*v = v - 112. Suppose 4*a = -0*a + v. Calculate the smallest common multiple of 3 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*a = c - 28, 2*c + 4*a + 8 = 0. Solve 2*b = c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -20*a**3 + 8*a**2 + 20*a + 6. Let i(q) = 7*q**3 - 3*q**2 - 7*q - 2. Let j = -54 + 59. Let s(l) = j*f(l) + 14*i(l). Let p = 1 + -3. What is s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -335 - -740. Let o = h - 243. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19877 divided by -1529\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -6*3\/(-9). Suppose t*s = -3*s + 114. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 0*g - g)*(-9*g**2 - 29*g - 34*g + 62*g) + (-g - 2 + 2)*(2*g**2 - 4*g**2 + 0*g**2) in the form n*g**2 + q*g**3 + t + o*g and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*a - 396 = -134*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*((sqrt(44) - -5*sqrt(44)*-1) + 1*sqrt(6336))\/(sqrt(32)\/(-1*sqrt(392))).\nAnswer: -224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 8 - 4. Suppose 2*h = -j*h + 232. What is the remainder when 1 + (h - 3) - 1 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**21*m*m*m**(-27))\/(m**(-14))**(-23) assuming m is positive.\nAnswer: m**(-326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*s**2 + 11*s**2 + 35*s**2 to y*s + i + z*s**2 and give z.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3442196ug in milligrams?\nAnswer: 0.0003442196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 2:11 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37308 divided by -6.\nAnswer: -6218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 11 (c) -3.8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131694 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12930363079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00259936 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38620744 rounded to 2 decimal places?\nAnswer: -2.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = s, 5*s + m + m - 20 = 0. Let f(k) = 2*k**s - 213 + 216 - k**2. Give f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3 = -28. Let n(d) = d**2 + 6*d + 5. Let t be n(a). Suppose t = 2*h + q - 111, -123 + 408 = 5*h + q. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 15) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -479 from 0.8.\nAnswer: 479.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 36*p**2 - 108*p + 7. Let b be u(3). What is the greatest common factor of 945 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:52 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -239627558*f**3*p**3 - 2*f**2*p**2 - 22*f**2 - 24*f*p**3 - 17*f - 2*p**3 - 57 wrt f.\nAnswer: -1437765348*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.79 - 2. Let k = 4804 + -4804.21256. Let h = k - y. What is h rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + (209 - 182) + 2 + -38.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*m**3*r**2 - 7*m**3*s - 6*m*r**2*s - r**2*s - 6*r**2 - 839*r*s + s wrt r.\nAnswer: -26*m**3 - 12*m*s - 2*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 5*l**4\/12 - 28*l - 1. Let j(d) = 9*d + 3. Calculate w(j(g)).\nAnswer: 405*g**2 + 270*g + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*u + 198*u + 2811 = 19611. Calculate the smallest common multiple of u and 24.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -307, -961, -2217, -4273, -7327?\n\"Answer: -33*i**3 - 4*i**2 - 7*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 - 6 + 6 - h**3 + 0*h + 0*h + (2*h - 2*h + 2*h)*(-h**2 + 2*h**2 + 0*h**2) - h**3 + h**3 + h**3 - 4 + 4 - h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:04 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 2, v: 1, t: 1, c: 7, u: 2}. Give prob of sequence gx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/13 + 336*a\/13 + 14112\/13.\nAnswer: 2*(a + 84)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 16. Let j(r) be the first derivative of -r**3\/6 - r**2 - 9*r - 4. Let a(y) be the first derivative of j(y). Determine a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 77 - 84. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-3 + 8\/3)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -315 and 5310.093.\nAnswer: 4995.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 2*h + 32223*h**2 - 32221*h**2 + 0)*(-4*h + 15*h - h + (5*h - 3*h + 0*h)*(-2 + 3 - 3)).\nAnswer: 12*h**3 - 12*h**2 - 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 8409?\nAnswer: 58863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 14 = -4*y, 2*y = -4*c - 18 + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6) + 120\/72.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3653 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/(-124)*-3*-1*16\/84?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 0*m**2 - 2*m**5 + (2*m**2 - 4*m**2 + 7*m**2)*(-2*m**3 - 2*m**3 + 2*m**3).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11645733 (base 8) to base 16\nAnswer: 274bdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4911246 by -1637082.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/4 + 65655*c\/4 - 1938563\/2 = 0.\nAnswer: -65714, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 635\/(5 - (2 + 2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 11 - 19 = 3*s, 0 = 4*s + 3*n + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-66)\/12)*2\/(-8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/309 and 65\/9?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3\/4 + 1083*v**2\/4 - 85665*v\/4 - 86751\/4 = 0. Calculate v.\nAnswer: -1, 119, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 6*r + 3. Suppose -3*d + 6 = -6*d. Let u be (d\/4)\/(1\/12). Let a(j) = -4*j**2 - 13*j + 6. Let k = -6031 + 6044. Determine k*h(o) + u*a(o).\nAnswer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010178897376 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**6\/40 - 11*l**5\/20 + 25*l**4\/8 - 13*l**3\/2 - 34*l**2. Find f, given that s(f) = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1026 (base 8) to base 16.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.5*-1.\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -687.8.\nAnswer: 75.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3034 and 62234.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 5046 = -34*m - 4656 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 7*m**2 - 13*m - 10. Let p be w(-8). Let a be (p\/(-9) + 2)*6\/(-4). Suppose -4*k + 282 + 138 = -a*d, -3*d = 4*k - 440. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/(-8))\/((-180)\/144).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*t - 5*m, -41 + 10 = 8*t + 3*m. Suppose -4*y = -y + 12. What is the nearest to 9\/2 in t, -1\/7, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 14*h**2 + 54*h + 19. Is 114 a factor of g(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 94. Let i(b) = -9*b + 168. Let t(r) = 6*i(r) - 11*u(r). What is t(23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 + 8 + 0\/2. Let y be (-1)\/(-4) - (-1 + 0). Are a and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-36)\/315)\/((1\/35)\/((-7)\/35))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/5059? (a) 2 (b) 5 (c) -0.2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138 + -137.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r**3 - 17546*r**2 + 145816*r - 46656 = 0 for r.\nAnswer: 1\/3, 8, 2916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.34 - -4.340001944. Round o to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3, 75 in increasing order.\nAnswer: -1\/4, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*d - 18 + 16 = 0, -4*o + 4*d + 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/7 - 15\/7. Let x = 147 + -148. What is the closest to -0.2 in 0, k, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(1\/7)\/b))\/b)\/b*b**(5\/6)\/b)\/(b\/(b**(4\/7)*b)*b*b**10) assuming b is positive.\nAnswer: b**(-451\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*h - 63 - 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2100219 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 20 = -3*i - 4*y, -4*i - 10 = -2*y. Let s be (-7)\/(-2)*(-48)\/(-14). Suppose 10*z - 32 = -s. Solve z*a = -i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 58.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24219 and 207.\nAnswer: 24219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 9366845.6 and 84.\nAnswer: 9366929.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -706074 - -5165?\nAnswer: -700707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + -34 + 19 + -22 + -9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 64. Let f = -7 + m. Which is the third biggest value? (a) -1 (b) f (c) 0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 9, j: 3, q: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199.06 + -199. What is the second smallest value in w, 5\/6, -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.588 - -0.588. What is the biggest value in u, -4, 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076716 rounded to 3 dps?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(931) - sqrt(114)\/sqrt(54).\nAnswer: -1 + 20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + -2 + sqrt(1539)*1 + sqrt(1539))))**2*-1.\nAnswer: -1542 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 + 2*w + 4. Let k be ((-6)\/9)\/((-6)\/(-27)). What are the prime factors of u(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 23. Let s = -11979.00075 + 11982. Let p = o + s. What is p rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199313 is divided by 99642.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 418, 401, 368, 313, 230?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 37*s + 300 = 0. Calculate the lowest common multiple of s and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -10 - (67 - 6)) + 8.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26203 divided by -233\nAnswer: 26203\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 11*s**2 - 5*s + 56. Let b be c(13). Let l = -339 + b. Put l, -14, 1 in decreasing order.\nAnswer: 1, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 7 = -5*g - 5*u, -6 = 3*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12119 + -193841\/16. Let a = -47605\/8 - -5960. Calculate the common denominator of a and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o**2 - 2*o**5 + 0*o**5 - 75*o - o + 27*o + 9*o + 18*o**3 + 8*o**4 = 0. Calculate o.\nAnswer: -2, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589937 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.4, -1, 39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1091*b + 1092*b - 3281*b - 5880*b**2 + 1099*b to a*b + f + t*b**2 and give t.\nAnswer: -5880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 301421 (base 6) to base 14\nAnswer: 88cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 732 = -668. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -961496, -961353, -961210, -961067, -960924?\nAnswer: -960781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1057113 divided by 117457\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40714385?\nAnswer: 5, 89, 91493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -22. Let q(r) = 4*r + 68. Let x be q(n). Let f be (-276)\/100 - 1 - x. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 9. Suppose 5*q + 2*t = -3*t + 15, q = 5*t + 21. Does 3 divide b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(272)*-1.\nAnswer: -4*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 325, 418, 567, 766, 1009, 1290, 1603, 1942?\n\"Answer: -s**3 + 34*s**2 - 2*s + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4506 (base 8) in base 2?\nAnswer: -100101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128518267 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -3 (c) 7\/2 (d) -10\/31 (e) 224\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*d + 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113132444 (base 5) in base 2?\nAnswer: 1111111001100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8421185133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*f + 31. Suppose -5*c = -16 - 74. Calculate the remainder when c is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -a51974?\nAnswer: -a51977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1427171*n**3 + 4801*n**2 - 2*n + 1.\nAnswer: 8563026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -352480 * 0.5\nAnswer: -176240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 13. Let j(f) = -f**3 + 6*f**2 - 4*f. What is the least common multiple of r(-7) and j(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2737225.\nAnswer: -4\/2737225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g. Let z(m) = -758*m**2. Calculate z(n(c)).\nAnswer: -6822*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210012 - -1022100?\nAnswer: 2002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -952880557 take away 0?\nAnswer: -952880557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 6. Find the second derivative of 29*u**4 - 3*u - 6*u - 39*u**4 + k*u wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - 0.0392\nAnswer: -0.9392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -916\/9, 0.5, 13, -8\/7 in decreasing order.\nAnswer: 13, 0.5, -8\/7, -916\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428903880.\nAnswer: 2, 3, 5, 17, 210247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 13*i - 19*i in the form c*i + p and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -896753*s**2 - 31646*s + 2.\nAnswer: -1793506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2\/3)*w*w*w)**11\/((w*w*w\/w**(-1\/6)*w)\/w)**20)**(1\/9) assuming w is positive.\nAnswer: w**(-47\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a hour in minutes?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -305870535043 + 2?\nAnswer: -305870535041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9673\/8 - -1211. Let u = -25694704379\/2675392 - -10457001\/1088. Let l = 1\/2459 + u. Find the common denominator of r and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21102 (base 7) in base 11?\nAnswer: -39a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 316738 and 4988?\nAnswer: 633476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 282, 166, -132, -702, -1634, -3018, -4944?\n\"Answer: -15*k**3 - k**2 - 8*k + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 22*o**2 - 32*o + 48. Let p be r(22). Let t = 1039 + p. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/((-64)\/80) - 2\/28.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, 30, -767, 53 in descending order.\nAnswer: 53, 30, 5, 1, -3, -767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621*z - 2582*z + 955*z - 4 - 10.\nAnswer: -6*z - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 5:46 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-91)\/35 + 9\/15. Calculate the common denominator of 71\/l*(3 + -10 - -6) and 43\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 4 (c) 0 (d) 1\/24 (e) 3\/5 (f) 38 (g) -1\/14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 378, 1499, 3376, 6009, 9398?\n\"Answer: 378*r**2 - 13*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1947\/9 - 18\/(-27). Let y = h - 212. Solve 1 = x - b, -2*x + y*b + 15 + 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/3527649?\nAnswer: -4\/3527649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 - 6. Let o(u) = 21*u**2 - u - 31. Let j = -207 - -196. Let x(a) = j*s(a) + 2*o(a). Determine y, given that x(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1108)\/26038)\/(34\/(-12784)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*t - t - 1, 3*t - 4*w - 10 = 0. Suppose 0*i + t*i = 290. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/140 and -1*(-664)\/(-476)*(105\/(-52) - -2)?\nAnswer: 30940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30767 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-56)\/(-2450))\/(1\/(-5))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d + 8688. Let i = d - -23908\/11. Find the common denominator of ((-154)\/8)\/(6\/(-4)) and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421 + 394 - 747 = -2*u for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z = 120 + 210 - 83 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1206*d - 88034. Determine p(73).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 12 - (5 + -16 - -23).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 256, -5, 3 in increasing order.\nAnswer: -5, -3, 3, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 200 = -13*l. Suppose 0*d - l = -2*d - 5*u, 2*d - 52 = -4*u. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96661.10038 + 96658. Let v = j + 3.1. Round v to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 9:10 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*i + 168*i = 2752. Is i > 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - h - 60 + 72 = 0, -6*a + 5*h - 135 = 19*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 + -1.21. Let m = 1.200032 + r. Round m to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/24 - 13*z**3\/6 + 6*z**2. Let c be y(6). What is c rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-41 - 39 + 43)*(1 + 0 + 2) - 2 + 1 + 3 + 0 + 3 - 1 + (2 - 4 + 1)*(-1 + 0 - 1) + 0 - 2 + 1)*(7 + 4*u - 8 + 2).\nAnswer: -424*u - 106","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 30 (b) 0.1 (c) 1 (d) 2\/7 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:20 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 29*k - 644. Is 13 a factor of (-12)\/k*(4 - -153)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 7, t: 3, j: 2}. What is prob of sequence jlnn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -2*a**3 + 10*a**2 + 23*a. What are the prime factors of n(-19)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4081857 (base 9) in base 8?\nAnswer: 10241141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 0.08. Let q = -0.09 + s. Let m = -0.27 - -0.27. What is the nearest to m in q, -4\/7, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -28.07922?\nAnswer: -56.15844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2.16, 4 in increasing order.\nAnswer: -2.16, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -74*c + 2. Let q(f) = -6335*f + 22. Determine q(r(u)).\nAnswer: 468790*u - 12648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76\/5 of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*c**2*t**2 + 752*c**2*t + 8*c**2 - 2*c*t**2 - 2574*c*t - c + t**2 - 18*t wrt c?\nAnswer: -252*t**2 + 1504*t + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.60299733 - 1.603. Round d to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 190.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - (196 - 194)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 134.\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - -17776?\nAnswer: 17759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Suppose 236 - 4 = 159*q - 245. What is the biggest value in m, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 3 - 3 + (3*j + 4*j - 5*j)*(-2*j - 3*j + 3*j) + 5*j - 5*j + j**2 + (-3*j + 4*j - 4*j)*(3*j - 2*j + j))*(86 - 86 + 14*j**2).\nAnswer: -140*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0476984659 to five decimal places.\nAnswer: -0.0477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4660 by 1165.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 + 2*g**3 - 4*g**3)*(2*g**2 - 5*g**2 + 2*g**2) + 0 + 0 - 3*g**5 + 2*g**5 + 3 - 3.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -570 + 584. Solve 0 = -t - 5*s + y, t = -6*s + 3*s + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554693 is divided by 18473?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/4 - 8*z**3\/3 - z - 57. Let f be m(-6). What is f rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/(-14) + (-10)\/((-1050)\/(-45)). Suppose 3*o - 11 = 2*n, 5*n = n - 2*o + 2. What is the nearest to 6 in n, h, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3897 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 5 (c) -217 (d) 0 (e) 2\/11 (f) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**1)\/((q\/(q\/(q\/q**1)))\/q)*(q\/q**(-5)*q)\/q**(-7)*q**(-2\/25)*((((q*((q*q*q**(5\/4)*q)\/q)\/q)\/q)\/q)\/q)\/q*(((q*q**0)\/q)\/q)**(-10) assuming q is positive.\nAnswer: q**(2617\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415 a factor of 13993605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*z = -9 - 3, 0 = g + 2*z + 4. Suppose g*k - 497900000 = 17*k. Round k to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -48 (b) 3 (c) 1\/10 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from {n: 2, w: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -80. Suppose 2*l - 20 = 3*j + 2, 0 = -5*l - 4*j + r. Let x = 14 - l. Solve 4*u = -x*w + 5*w - 8, 8 = -2*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/891 and 59\/594.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f**2 - 2*f + 744. What is the least common multiple of w(0) and 279?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72530036 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -61 + 1 + 2. What is the common denominator of ((-83)\/(-12))\/(40\/a) and 95\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*sqrt(102)\/(4*sqrt(24)\/sqrt(4)).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-3024)\/(-120))\/42)\/((-27)\/60))\/(8\/66).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2 and 89\/930.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m - 40*m + 406*m - 299*m - 28*m - 17*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4271735886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**2\/2 - 4*x - 20923. Let j = -1 - 1. Calculate l(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnllnllllllll. Give prob of picking 2 l and 1 n.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:22 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 45 = f. Let c be (5\/2)\/(f\/6). Let m = 3 - 4. What is the biggest value in 4, m, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-36)\/8) + 1\/3. Solve 11 = -3*s - p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwybh. Give prob of picking 1 b, 1 y, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -15896?\nAnswer: 5\/15896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2. Let k(p) = -6*p. Let s(b) = -7*b. Let i(o) = o**2 + 10*o + 4. Let l be i(-10). Let c(j) = l*s(j) - 5*k(j). Calculate r(c(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7745666?\nAnswer: 2, 3872833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 2. Calculate a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20 + 1 - (1 - 0). Suppose x - 4*u + 17 = 0, 3*u + l = 7*u. Is 21*x\/(9\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62587*t**2 + 62574*t**2 - 125162*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1050 + 1050.0693. What is z rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 0 + 0*r + 9\/7*r**3 + 6\/7*r**2 - 15\/7*r**4 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p + 111*p - 20*p = 647478. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/541, 3, -18.96.\nAnswer: -18.96, 2\/541, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14\/3 + (-5 - 16\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 11*b + 2*b - 15 to o*b + n and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49.6 + 45. Let c = -753 + 752.6. Let f = c + p. Put -0.5, 0, f in decreasing order.\nAnswer: 0, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6031*t**4 + 2466*t**4 + 3031*t**4 + (1 - 2 + 3)*(-1 + 2*t + 1)*(-2*t**3 + 0*t**3 + t**3).\nAnswer: 11524*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352 (base 16) to base 7.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7681.\nAnswer: 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**8\/6720 - o**7\/2520 - o**4\/8 + 2*o**2. Let g(z) be the second derivative of v(z). Suppose g(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 9*d**2 + 5. Let a be s(-9). Suppose -a*l + 8*l = 18. What is the third derivative of -3*i**6 + 0*i**l - 18*i**2 + 9*i**2 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/22 and 53\/12546?\nAnswer: 138006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/3)\/(-1 - 1). Factor -o*g**2 + 30 - 2*g**2 - 55*g + 30*g.\nAnswer: -5*(g - 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62602*b**2 - 62596*b**2 + 187705*b**2 - 62512*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 169999*i**3 + 2*i**2 + i - 2. Let x be u(2). Let h be (x\/(-12))\/(2\/(-18)). What is h rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 1084, 1\/71, -3?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.837 - 4.163. What is the closest to -2\/5 in 0, 6, f, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(143)\/(sqrt(33)\/sqrt(3)) - (sqrt(117) + 4 + (sqrt(832) + 0 - sqrt(13))))**2.\nAnswer: 54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 102, 152, 236, 372, 578, 872?\n\"Answer: 3*g**3 - g**2 + 32*g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 4*n + 1. Let s be m(3). Suppose -2*z = -5*j + 3 + 6, 2*j - 42 = -s*z. Suppose -3*q + 185 - z = 0. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44086 + -2585?\nAnswer: 41501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (19\/(-2))\/(18\/36). Let w = -6 - j. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*c + 10, c + 5*w = 3*w - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Solve -f*l = -2*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.48 - -196.52. Let u = z + -193. Is 0.09 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 9:14 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = -g, 6*a - 5*a - 7 = g. Suppose -3*o = -29 - 16. Calculate the remainder when o is divided by 10 + 0 + 3 - a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -487 - -486.594. Let g = -0.006 - v. What is the nearest to 0.1 in g, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 130343012*l - 4247325194308036.\nAnswer: -(l - 65171506)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-30))\/((-2)\/6). Which is the nearest to n? (a) 2 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4016904559 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 48*l**2 - 119*l + 28. What is the remainder when o(21) is divided by 77?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047468351 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 3. Let h be r(-3). Let d be (-2)\/(2*(-3)\/h). Let n(k) = k**2 + 3*k + 3. Let w be n(-6). What is the highest common divisor of d and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -151.6686 and -0.2.\nAnswer: 30.33372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**5*q - 23*l**4*t - 4*l**3*t - 2*l**2*q*t + 97*l**2*q + 2*l*q*t wrt l.\nAnswer: -240*l**2*q - 552*l*t - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 231661758?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -400, -387, -374, -361?\n\"Answer: 13*l - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 13. Suppose -f + 2*f + x = 0, 5 = -5*h - 4*f. Is (h + 1 + -423)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.4, -4\/3, -1\/7, 0.21?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 - 65*y**2 + 486*y - 60*y**2 - y**4 + 2*y**3 + 187*y**2 - 59*y**2 + 2 as r*y**2 + v + b*y**4 + g*y + f*y**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -54285 divided by -21\nAnswer: 2585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2062, 1894, 1616, 1222, 706, 62, -716?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(-5 + 5*(sqrt(539) - (4 + -5*sqrt(539)))))**2.\nAnswer: -5828700 + 126000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.0893 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*o*p**2 - 992*a*o*p - 2*a*p**3 + 5*a*p**2 + 2*a - 5*o*p**3 + 1328*p**3 wrt o.\nAnswer: a*p**2 - 992*a*p - 5*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*j + 3*j + 4*j)*(-4 + 1 + 2 + (-2 + 5 - 1)*(-3 + 2 + 3) - 5 + 5 - 2 + 0 + 1 + 0 + 2 - 3 + 2 - 1 + 17 + 66).\nAnswer: -2720*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21371 * -0.08.\nAnswer: 1709.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/24 + 145*a**3\/24 + 675*a**2\/8 + 95*a + 35. Factor x(f).\nAnswer: (f + 5)*(2*f + 135)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + 2*z**5 - z**5 + (-z + z + 2*z)*(-z**4 - z**4 - 2*z**4) + 5 - z**5 - 5 + 5*z**4 + z**5 - 5*z**4 + z**5 - z + z - 54*z**5 + 15*z**5 - 37*z**5.\nAnswer: -82*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 44. Let h(w) = w**3 + 3*w - 1 - 2*w**2 - w - w. Let a be h(i). Solve -m + 0*m = a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 34 - 9 = 0. Suppose 25 = -5*a - k*p, 3*p + 0*p + 15 = 5*a. Suppose b - 158 - 456 = a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -15. Suppose 7*r + 12462 = 38*r. Suppose 405 - r = -t. Sort 4, g, t.\nAnswer: t, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1519074 and 220806?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**3 + 28*c**2 - 113*c + 342. What is r(8)?\nAnswer: 3790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -25. Let k(f) = 9*f**3 - 6*f. Let i be k(3). Calculate the lowest common multiple of 37\/3 + (8 - i\/27) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/6 - -1\/2. Suppose -4*q - 4 = -5*q. Let g be ((-10)\/15)\/(22\/6). Which is the nearest to o? (a) q (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 4*y - 286 = 0, -c + 3*y = -92. Let n = c + -95. Factor -42*u**4 - 203*u**4 + 124*u**n - 264*u**3 - 20*u**2.\nAnswer: -5*u**2*(7*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(-5))\/v)\/v*v**(3\/10)*v assuming v is positive.\nAnswer: v**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 7, u: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47607 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1032*256.\nAnswer: 26.4192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -16\/9 (c) 0.4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*126\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**3 + 5*z**2 + 14*z + 15. Let f(s) = -s**3 - s**2 + s + 1. Let b(x) = 4*f(x) - q(x). What is b(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 42*m + 20. What is the least common multiple of 56 and a(2)?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25124876 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12 = 4*k, 0*k = 5*t + 3*k + 9. Calculate the remainder when 4 + t\/(-5) + 22 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -36 (b) 4\/41 (c) 3\/4 (d) 3 (e) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10488849 and 14.\nAnswer: 20977698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/15113*127*(-2)\/(-89).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1409 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 42*a + 83. Let y be t(-2). What is the third smallest value in -0.2, 2, -4, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847951 a multiple of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -171*x + 25. Let d(z) = -343*z + 50. Let r(g) = -4*d(g) + 9*w(g). Is r(-3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45097564 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.2 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 51*z - 14387. Let c(u) = -3*u. What is c(h(v))?\nAnswer: 3*v**2 - 153*v + 43161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 at least 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l - 9, -4*y + 2*l = -2. Let z be 4 + -1 + (-3 - y). Let n(v) = -3*v**3 - v**2 + v. What is n(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 225*x**2 + 3601*x + 17. Let a be w(-15). Put a, -21, 5, -6, -4 in increasing order.\nAnswer: -21, -6, -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 128\/(-12) - 150\/45. Which is smaller: n or 145?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 6*g - 6*g + 9*g**3 + 0*g**3 + 18*g**3 + (3*g**3 + 0*g**3 - 5*g**3)*(2 - 2 + 3) + (2*g**2 + 2*g - 2*g)*(-20 + 20 - 7*g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 9000?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine quarters of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*r - 8*l + 7*l, 2*l = -3*r + 10 + 20 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, a: 13}. What is prob of picking 4 c?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (90\/(-27))\/((-60)\/(-90)). Let d = 3.2 - 0.7. Let f = d - -0.5. Which is the closest to -0.3? (a) -1\/2 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6307\/85 - 75)*10\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -11 (b) -1\/58 (c) 2\/13 (d) 5 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 9) to base 14\nAnswer: 3b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 384 by 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5013 (base 7) in base 4?\nAnswer: -122331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, p: 1, b: 3, f: 1, k: 2, r: 3}. Give prob of sequence pkfh.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**3 - 3*z**2 + z + 77. Let k(o) = 7*o**3 + 2*o**2 - o - 76. Let y(p) = 2*c(p) + 3*k(p). What is the derivative of y(n) wrt n?\nAnswer: 27*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24703 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 145459081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1730, -3545, -5356, -7163, -8966, -10765, -12560?\nAnswer: -14351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 10*a + 23. Let m be x(-7). Suppose 4*j + 0*p - 36 = -m*p, 3*p + 9 = j. Is j equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129347638?\nAnswer: 2, 17, 29, 53, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 0.3. Let s = -0.8 - b. What is the second smallest value in s, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -52*a - 1517. Give o(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182858 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -6, 49?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32040010?\nAnswer: 2, 5, 1619, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - t + 21 = 0, 7*t - 2*t - 25 = 0. What is the nearest to 0 in 0.1, u, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 28 = -22. Solve 2*v - l*k = -18, -v + 3*v + 3*k - 2 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -893041467083.9 + 5?\nAnswer: -893041467078.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 1\/4, 9\/61, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 - 455*y**4 - 3455*y**3 + 53975*y**2 - 50064*y = 0. What is y?\nAnswer: -447, -16, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*4\/(-2). Let w be (-2 - (-5)\/q)\/(-1). Let i = w - -7. What is the lowest common multiple of i and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 5*o - 5 = -7*o, y = -0*y - 2*o + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = t - 12, 7*x = 6*x - 5*t + 8. Is (x + 3)\/((-14)\/(-112028)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1673 * 0.3\nAnswer: -0.05019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4227*o + 4262*o - 1181 - 814 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/7326 and 149\/293484.\nAnswer: 9684972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/4 - 4. Let o = 0.463 - 0.463. Let a be (-11 - -13) + (1 - 1). What is the fourth biggest value in a, 3, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(22)\/sqrt(2))*2)**2 + (sqrt(1100) + (1 + sqrt(1100))**2 - 2*(1 + sqrt(11))).\nAnswer: 68*sqrt(11) + 1243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -25*v + 57. Let i be t(10). Let n = i + 346. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 2*n**2 - 8*n - 1. Determine y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (7 - (39 - 12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1822053.\nAnswer: -5\/1822053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3930*f**2 + 3931*f**2 - 7859*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 4*k, 133 = 3*l + 4*k. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*g = -296, 4*g = 2*m + g - 308. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1152497668 to the nearest integer?\nAnswer: 33948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiuu when four letters picked without replacement from uuiuii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.00082 + -40. Round u to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + -3.5. Let u = -17 - -31\/2. Which is the third smallest value? (a) u (b) z (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*6*sqrt(1573))**2*-4.\nAnswer: -18347472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -234 + -a?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 88?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -2*m - 88, -1356*m = -115*p - 1361*m - 928 - 932 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12419043*s**5 - 13449404*s wrt s.\nAnswer: 248380860*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r**3 + 5*r**2 - 5*r + 7. Let f(o) be the first derivative of -5*o**4\/2 + 4*o**3\/3 - 2*o**2 + 6*o - 1483. Determine 5*f(b) - 4*m(b).\nAnswer: -10*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {a: 1, v: 1, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -9.5. Let q = -8.6 - g. Let h = q + -0.5. What is the smallest value in 2\/11, h, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (680\/(-80))\/(28 - (-26075)\/(-910)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -17*k + 2. Suppose 0 = -k*c - 2*n + 66, 16 = 2*n + 2*n. Calculate the remainder when 345 is divided by c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 27*v + 3. Let r be d(-27). Solve -5*m - r - 17 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/110*(-190)\/114.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*r + 21, 3*d = -2*r - r + 18. Suppose 0 = -4*o + d + 61. Solve 5*k = 5*h + 10, 3*k + 2*h = -0*h + o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 37, -14, -97, -218?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1978 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/187 - -383\/561. What is the nearest to -1\/4 in 1\/2, m, 0.02, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {i: 4, j: 1, g: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 6*o - 8. Let h = -97 + 53. Let q = h + 40. Let r be p(q). Solve r*t = t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/34 and 23\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/6)\/(6\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -12.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k + 5. Let a be z(0). Suppose -y - 3*l + 857 = -6*l, a*y - 4261 = 3*l. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49875635441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + j**3 + 4 + j**3 - 4 + (3 - j - 3)*(2*j**2 + 0 + 0) + j**3 - 9*j**3 + 0*j**3 + 152 - 134*j**3 - 152.\nAnswer: -142*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2 + 24*b + 12. Let l be r(3). Solve 27 = -s + l for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4240 - -1005400?\nAnswer: 1001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13430.\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 602 - 599. Let n(h) = -2*h + 7. Determine n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.774717 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {v: 11, s: 7, t: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7357493\/240 - -30656. Calculate the common denominator of h and 35\/72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1767872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 - 0?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 17*s + 113. What is g(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 61*z**2 + 29*z**2 + 653748 + 30*z**2.\nAnswer: -2*z**2 - z + 653748","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*p*r**2 + 5969050*p + 3*r**2 - 63739*r wrt r.\nAnswer: -26*p*r + 6*r - 63739","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2756.11758 + -2756. What is o rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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 the next term in -1347105, -1347110, -1347117, -1347126, -1347137, -1347150?\nAnswer: -1347165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6410, -6723, -7024, -7307, -7566, -7795, -7988, -8139?\n\"Answer: b**3 - 320*b - 6091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6. Calculate the lowest common multiple of 8 and 2 + -3 + (3 - x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10642621?\nAnswer: 11, 967511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 735 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-17 - -35 - 24)) + 2 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - q + 89 = 0, 15*q - 125 = -4*y + 20*q. What is the common denominator of -91\/8 and (-6)\/(-166)*(-10)\/(-25)*y?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1186 and 24?\nAnswer: 28464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p - 15. Let t be 0\/3*(-1)\/1. Let v be r(t). What is the units digit of v\/(-3) + (-2)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.2, 2.68, -361?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a7c3 (base 16) in base 3?\nAnswer: -22211201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.5620714 - -2.43792748. Let y = 20 - k. Round y to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 415*c + 11. Let a be n(-11). Let s be (-2)\/9 + (-976)\/a. Is -1 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -110. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00086980442 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -8.32113.\nAnswer: -8.32113, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t = -30*t + 18*t. Let g(a) be the second derivative of 0 + t*a**2 - 3\/4*a**4 - 29\/6*a**3 + 26*a. Find the second derivative of g(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 2*k**2 - 45*k + 93. Give d(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1119827ms in minutes?\nAnswer: 0.000018533045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**2 - 435*o\/4 + 525\/4 = 0.\nAnswer: 5\/4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 3*y**2 + 4*y - 4. Let a be 2 - 8 - (2 + -4). Let i be o(a). Let q(c) = 3 - 5*c + 3*c**2 - 4*c**2 + 0*c**2. Give q(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28442569709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11271 and 5593017.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*27\/6. Suppose -5*l - 2*i + 553 = 0, 4*l + w*i = -2*i + 439. Suppose l = 5*n - 69. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 18\/12)\/((-2)\/52). Let s = 68 - h. What is f in 193*f**4 - 45*f**4 + 36*f - 132*f**s - 62*f**5 + 8 + 16*f**4 + 14*f**5 - 28*f**2 = 0?\nAnswer: -1\/3, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -46. Suppose -p + 0*p = -u. What are the prime factors of 4\/p + (-410)\/(-18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**3 - 15*l**2 - 12*l - 12. Let k be 1 + -1 + -1 + 5. Suppose k*a = 0, 3*a - 44 = 2*w - 6*w. Is m(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 20*b + 100. What is y(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 728, 506, -66, -1162, -2956, -5622, -9334, -14266?\nAnswer: -20592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 27*q**2 + 4*q**3 + 18*q**2 - 60*q**2.\nAnswer: 6*q**3 - 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 8312 = 2085. Let k = -485 + c. Let i(r) = 6*r - 6. Let s(q) be the third derivative of 7*q**4\/24 - 7*q**3\/6 - 2*q**2. Give k*i(h) + 5*s(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8734.88s to milliseconds.\nAnswer: 8734880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 + 80 - 3*l**4 - 256*l**2 + 5*l**4 + 256*l**2 - 33*l as o*l + a + s*l**4 + q*l**2 + d*l**3 and give a.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - ((32 - 12) + 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*n + 7 = 100*n. Let s(w) = w + 1. Let x(p) = p**2 + 5*p + 2. What is n*x(y) - 2*s(y)?\nAnswer: y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -97817997364892?\nAnswer: 97817997364891.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 12:35 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -1 - (27 - (62 + -29))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8911 - 5c?\nAnswer: -896d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/20 - (-33)\/12. Suppose -o + 5*o - 372 = 0. Suppose -r + n = l - 16, -o = -5*l - 3*r. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020 (base 3) in base 8?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 19. Which is the nearest to 2\/3? (a) t (b) 1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -5*i - 77. Let q(d) = -d**3 + 4*d**2 - 3*d + 2. Calculate q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5170370 rounded to the nearest ten thousand?\nAnswer: 5170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 22*y - 1. Let b be k(-1). What is the tens digit of -1 + b\/(-1) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5210 and 88.3?\nAnswer: 5298.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 9*p + 4026. Suppose -13*w + p = -9890. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*n**4 + 399*n**2.\nAnswer: -288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 250596553 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 n when four letters picked without replacement from nlllllllllnlnllnlnl.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185069 is divided by 8410.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q - 109. Let d be c(8). Let v(f) = f**3 + 3*f - 2*f**2 - 2*f**2 - 1 - f**2 + f. Calculate v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/31 (b) -11 (c) 0 (d) 95 (e) -1 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 115572140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 1089b?\nAnswer: -108a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/186 and 67\/680.\nAnswer: 63240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1156248 + -398906234\/345. Let g = y + 48\/23. Factor 0 - 2\/15*b**4 - g*b + 2\/15*b**2 + 2\/15*b**3.\nAnswer: -2*b*(b - 1)**2*(b + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 16*g + 6. What is p(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2.25.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.462 - 0.028. Let m = j - 20.51. Let y = -21.0000018 - m. Round y to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*c - 20 = 0, -2*c + 5*c + 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 4, -2105 in decreasing order.\nAnswer: 5, 4, 3, -2105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2907, -5787, -8657, -11511, -14343, -17147, -19917?\nAnswer: -22647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -381974, -763942, -1145912, -1527884, -1909858, -2291834?\n\"Answer: -o**2 - 381965*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*w**2 - 173*w**2 + 1040*w**2 - 83*w**2.\nAnswer: 1675*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbtbbbbb. Give prob of sequence bt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/13 + (-4)\/(-26). Suppose o = -5*b + 217 - 22. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piusspya. What is prob of sequence syi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 11*u + 2. Let x be i(11). Suppose 4*y - 20 = 2*r + x*r, -r + 5*y - 25 = 0. Suppose l - 8*l + 28 = r. Solve -l*p = -5*w, p + 3*w = 7*w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*m + m = 78, -m + 357 = 4*o. What is the remainder when (-20)\/50*o\/(-2) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 29. Let y be a(16). Is 36\/2 - y*(1 - 2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 206 + -122. Suppose 4*y - 166 = 274. Suppose -79*r - y = -v*r. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -917*c - 4. Let a(t) = 10*t + 2. Determine 4*a(w) + g(w).\nAnswer: -877*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3980 at least -3980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.31 and 888.\nAnswer: 275.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2073754\/9 less than or equal to -230417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4433 and 3718?\nAnswer: 115258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 4)*(-658 + 323 + 302)*(-2*d**4 - 3*d**3 + 3*d**3) in the form a*d**3 + t*d**2 + x*d**4 + s*d + b and give x.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -3 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 - 3. Which is smaller: 2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (-1)\/(3\/5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.113 (b) -23\/5 (c) 3\/221 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 805790 - 11702*w**4 + 31*w - 101*w - 805789 wrt w?\nAnswer: -140424*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 925874618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13*i**6 + 4*i**3 + i**2 - 4*i. Let n(c) = -12*c**6 + 3*c**3 + 2*c**2 - 3*c. Let a(u) = 4*n(u) - 3*t(u). Find the third derivative of a(d) wrt d.\nAnswer: -1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2583 - -0.046.\nAnswer: 2583.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1304 + -1?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8385, 8640, 8895, 9150?\n\"Answer: 255*g + 8130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 14 = -13. Let s be 100\/(-36) - 2\/t. Let x = 25\/104 - 217\/1768. Which is the biggest value? (a) x (b) -1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246344 and 1896552?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/22)*w\/w**(-2\/43))**(1\/50))**9 assuming w is positive.\nAnswer: w**(9297\/47300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56196 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 6:56 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 2, m: 2, i: 4}. Give prob of picking 2 j and 1 k.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 3 + 3*q + 42 - 15 to the form b + u*q and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128\/10*75\/30 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 9. Let n = 46 + i. Calculate the remainder when n is divided by (-2 + 0)*1*-7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -107\/64 or -3?\nAnswer: -107\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.4 (b) -0.12 (c) -0.07 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x*x**(2\/11))\/x)**(-18\/11))**42 assuming x is positive.\nAnswer: x**(-18144\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 2 + 1 + 1 - 4*n**4 + 16*n**2 + 16*n.\nAnswer: -4*n*(n - 2)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)\/sqrt(4) - sqrt(19))*3)**2 - (sqrt(19) + 2 - sqrt(19))*2) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8700 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 + 4*u - 1. Let g be m(-5). Suppose 0 = 4*c - 8 - g. Is 3 not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 7*q. Let b(c) = 3 - 10 + 2*c + 7. Give -14*b(f) - 4*p(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 32*w**2 + 29*w - 22. Determine p(-31).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -28 (b) -3 (c) -10 (d) -0.5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 - 291. Let k be (-5)\/(-4) - 4\/16. Let a = k - y. Solve a = -o - 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32219 (base 10) to base 15\nAnswer: -982e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:28 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 - m. Let z(c) = 4*c - 4*c + c - 4*c. Determine z(u(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57743*j**2*r**2 + 3*j**2 + j*r**2 + 1807*j wrt j.\nAnswer: -115486*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 417177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 10*x - 3. Let g be s(-10). Let q be 85 + g\/(-3 + 2). Suppose 2*f - q = -2*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2. Let b(c) = -35*c. Give r(b(g)).\nAnswer: 7350*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8) - (sqrt(96)\/(sqrt(36)\/sqrt(3)) + sqrt(8)))*-4)**2 + (-2 + -2*sqrt(5) + 3 + -1)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 + 3\/(-144)*38*-9 and (-1)\/1 + (-9)\/(-75).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.8? (a) -6 (b) -3 (c) 3 (d) -0.4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 16*i**2. Let v(o) = -o + 8. Calculate v(x(p)).\nAnswer: -16*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*h - 22, 2*g = h - 6*h - 10. What is the units digit of 135 + (-5)\/(g - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11519, -4, -25, 1, 3, 0 in increasing order.\nAnswer: -25, -4, 0, 1, 3, 11519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 235466 divided by 21406\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5510 - 4668 = -14*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l - 11. Let o be n(-9). Let x(p) = 4*p**2 - 5*p + 6. Let r be x(-5). Let j = r - o. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.35 and -98.878.\nAnswer: 34.6073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.6 - -1235.3?\nAnswer: 1203.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.851 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19409138 divided by 1.\nAnswer: -19409138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/3 + 5)*2\/7. Let i be 14656\/16*j\/8. Let w = i + -123. What are the prime factors of w?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 r when three letters picked without replacement from {o: 1, r: 2, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*b**2 - 17*b**2 + 16*b**4 + (6*b - 2*b - 3*b)*(-3*b**3 - 2*b**3 + 3*b**3) - b**4 - 3*b**2 + 3*b**2 to v*b**2 + p + y*b**4 + z*b + q*b**3 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 175*l**2 - 4*l + 5. Let r(k) = -350*k**2 + 7*k - 9. Calculate -7*a(m) - 4*r(m).\nAnswer: 175*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25977\/2 - 12988. Suppose 0*d - 4*d + 20 = 0. Factor d*t**2 + 6*t**3 + 3\/2*t + i*t**5 + 0 + 3*t**4.\nAnswer: t*(t + 1)**3*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-1*(-5 + 35\/10). Suppose -4*t - 6 = -3*r, 0 = 2*r - 4*t + l*t + 1. Sort -5, 17, r in descending order.\nAnswer: 17, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/183 in 1.1, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -171, -1\/5, -0.4, -0.3.\nAnswer: -171, -0.4, -0.3, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100030220 (base 4) to base 8.\nAnswer: 201450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let q be r\/(0 - 6\/3). Suppose 0*n + 3*t - 15 = -4*n, -t + 5 = q. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12615)\/(-203))\/29*7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 12*i + 9. Let g be k(1). Let r(d) = d**3 - 5*d**2 - 6*d + 5. Let h be r(6). Suppose 0 = h*b - 9*b + 16. Put b, -5, g in descending order.\nAnswer: b, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31fb (base 16) to base 13\nAnswer: 5a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996079?\nAnswer: 1117, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 702041951 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*h - 98 = -460*h. Suppose 21*u - 23*u = -h. Solve 4*p + 5 + u = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = -4*k - 17, -5*k - 29 = 4*r. Let d(t) = t - 1. Let y(f) = 12*f - 4. Let n(b) = 5*d(b) - y(b). Determine n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from liliiiiiiiiii?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 86, 148, 254, 404, 598, 836, 1118?\n\"Answer: 22*j**2 - 4*j + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-685 + 725 + 2075 + 1773)*(-5*o + 3*o**4 + 3*o - 6*o**4).\nAnswer: -11664*o**4 - 7776*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 3\/3)*(-1)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + q**2 + q**2 + (-2*q + q + 3*q)*(4 - 4 - 2*q) + (-q + 2*q + q)*(-2*q + 2*q - 3*q) to the form d*q + n*q**2 + p and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 292, 720, 1358, 2194, 3216, 4412, 5770?\n\"Answer: -2*c**3 + 117*c**2 + 91*c + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 + 4 = 0. Let k be 2 + h - (-17 - -1). Suppose y - k = -7. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -28. Let y be 10\/l - 320\/(-7). Suppose 5*x + 3*d + d + y = 0, -16 = 2*x + d. Which is the second smallest value? (a) x (b) 3\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1608*b**3*c**3*v + 10*b**3*c**2*v**3 - 2*b**2*c**2 + 11*b*c**2*v**3 - 2*b*c*v**3 - 21*c**3 + c**2 wrt b?\nAnswer: -9648*c**3*v + 60*c**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -1\/9*x**3 + 0*x + 47*x**2 + 1\/180*x**5 - 1\/72*x**4 + 0. Factor o(s).\nAnswer: (s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -3*g + 5*s, 3*s + 222 = 5*g - 184. Solve -g*o = -54*o + 184 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -626270685*b**4 + 372154370*b**2 - 2*b wrt b.\nAnswer: -15030496440*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**2\/2 - 19328817*j\/2 + 9664407 = 0.\nAnswer: 1, 6442938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*u, -107*g + 564529 = -102*g + 4*u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-5)\/(-3))\/((10050\/(-195))\/((-1692)\/1833))\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjddjjjdjjjj. What is prob of picking 3 j and 1 d?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279233 is divided by 233.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -766 or -763?\nAnswer: -763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**4 + 3*v**3 + 862*v**2 + 3*v - 1107420?\nAnswer: 8*v**3 + 9*v**2 + 1724*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -4947\/8 and -617 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a67 (base 11) in base 16?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5694 by -146.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:25 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 + 10*h**2 - 3. Let b be u(3). Solve -3*a - 4*p + b = 0, -2*p - p - 1 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 c when four letters picked without replacement from {i: 2, o: 7, c: 6}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/220 and -43\/40436.\nAnswer: 202180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**0*v**2*v*(v**(-1\/2)*v)\/v assuming v is positive.\nAnswer: v**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5224.919 nanometers to micrometers.\nAnswer: 5.224919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -1 (c) -2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 44, 146, 352, 698, 1220, 1954?\n\"Answer: 6*v**3 - 2*v**2 - 2*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, 2, 0.1, -1, 1601?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5640 and 8460.\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*g**3*i - 4*g**3 - 5*g**2*i + 1003760*g**2 - 8042*g*i with respect to i.\nAnswer: -24*g**3 - 5*g**2 - 8042*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l. Let x be 6\/(-21) - (-37)\/7. Suppose l*r + 4 = -d + x*r, -2*d = 3*r - 44. Calculate the smallest common multiple of d and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*f**4 + 416*f**3 - f**2 + 2724*f + 7 wrt f.\nAnswer: 408*f + 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.2 - -3.9. What is q rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (8624\/7)\/8)*(-4)\/16.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492, -824, -1570, -2730, -4304, -6292, -8694?\nAnswer: -11510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -2)*(-6)\/4. Put g, -2, -1 in descending order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llxlccliliclr. Give prob of picking 1 r, 1 x, and 2 i.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nonnonnnn. Give prob of picking 2 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/11 + 3254*a\/11 + 181548\/11 = 0.\nAnswer: -54, 1681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) 4 (c) 5 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 89 - 2\/(-6)*(13 + -10). Let w = k + -83. Let a(n) = n + 1. Determine a(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160385944 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.33.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 + 62 - -74) + -32 + -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (305\/10)\/((-1)\/(-26)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 460 = 3*h + 3*y, -2*h + 3*y + 175 = 0. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t*t**(-4))\/(t**(-2\/7)*t**(1\/7)) assuming t is positive.\nAnswer: t**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-3 + sqrt(44)\/sqrt(4) + 5 - (5 + sqrt(22)\/sqrt(2) + 5 + -3))*-1.\nAnswer: 2 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 25*i - 4*d + 948 = 0, 4*i - 4*d - 972 = 0. What is the highest common factor of 768 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196228573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*v = -11, 5*k - 79 = 20*v - 3*v - 45*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1406 + 2892*l - 70*l + 2851 - 1445 - 491*l.\nAnswer: 2331*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -188 + -4028?\nAnswer: -4227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 10*x**2 + x + 3. Let m be f(10). Suppose -d - 5 = -m. What is the lowest common multiple of d and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4\/9 + 128*p**3\/9 + 488*p**2\/3 + 7040*p\/9 + 12100\/9 = 0.\nAnswer: -11, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1758, 33, -16 in increasing order.\nAnswer: -16, 33, 1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/28830 and -109\/530.\nAnswer: 1527990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 7:10 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2158*o - 3895. What is the ten thousands digit of f(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:23 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 172, 149, 126, 103, 80?\n\"Answer: -23*m + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 21*r + 9*r + 3*r + 0*r. Let h(c) be the second derivative of c**4\/12 + 646*c. Give k(h(g)).\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 56420?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*h + 6, -27 = 3*s - 2*h - 33. Which is the second biggest value? (a) -21 (b) 3\/4 (c) s (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 g when three letters picked without replacement from mmgomzzfmzfzocg?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -185*v**3 - 3*v**2 + 27*v + 13. Let o(b) = -61*b**3 - b**2 + 9*b + 4. Let f(m) = -8*o(m) + 3*s(m). What are the prime factors of f(-2)?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {f: 6, p: 1, v: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/6*(-90)\/(-245)*273\/9?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*o = -0*i, 2*i + o = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.06?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22489110, 22489104, 22489094, 22489080, 22489062, 22489040, 22489014?\n\"Answer: -2*d**2 + 22489112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 0)*(11 + 3*w**2 - 11 - w**2 - 2*w + 2*w + 4*w**2 - 3*w**2 - 3*w**2 - w**2 - 5 + 5 + (2 - 2 - 2*w)*(3 + 2*w - 3))*(-2*w**3 + 3*w**3 - 3*w**3).\nAnswer: 60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -2.\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 2 + (0 + sqrt(17))*-2 + 4)**2 - ((2*sqrt(459))\/sqrt(9))\/(1*sqrt(75)).\nAnswer: 118*sqrt(17)\/5 + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -4. Let c be 1\/(-2)*(v + 6). Let w be (1*c)\/(7\/(-63)). Solve o - w = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/16*0 - 2. Let l = 2 + a. Put 2, -2, l in decreasing order.\nAnswer: 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(1 + 0 - 3)*(-12*c**4 + c**4 - 9*c**4).\nAnswer: -80*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3223, -6453, -9683, -12907, -16119, -19313, -22483?\n\"Answer: h**3 - 6*h**2 - 3219*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-20)\/144*(-1)\/(15\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -126, 2, -16 in descending order.\nAnswer: 2, -4, -5, -16, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*g - 26 = -2, -4*p = -4*g + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-12)*q*q**(-1\/9))\/(q**(1\/3))**(-37) assuming q is positive.\nAnswer: q**(236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75999 - (5\/(-20))\/((-2)\/(-8)). What is v rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znzl when four letters picked without replacement from {e: 2, n: 1, l: 1, j: 3, i: 1, z: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p, -16*k + 5*p - 25 = -11*k. Let s be 2\/k - 172\/(-430). Suppose s*y**2 + 0 + 0*y + 2\/3*y**4 + 4\/3*y**3 = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-3 - (-11896)\/3964)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176714911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 8:47 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 12) to base 16.\nAnswer: 12f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 75 = -6*k. Let y be k\/2*(-68)\/(-85). Let a(v) be the third derivative of -v**5\/60 + v**4\/3 - 7*v**3\/6 + v**2. Give a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96789 + -68586. List the prime factors of q.\nAnswer: 3, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3367639 litres in millilitres?\nAnswer: 336.7639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 - 3*j + 1\/2*j**3 - 3*j**2. Let a(s) = 4*s - 7. Give -4*a(k) + 5*f(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 1 - 29. Let o = j + 18. Solve o*p - 6 = -26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343878?\nAnswer: 2, 3, 37, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11030234 (base 5) in base 8?\nAnswer: -272716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -334 + 46. Solve 2*k + 15 = -5*z, -4*z + j = -3*k - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5467 = -13326*i + 13255*i. Solve -i*w - 39 = -655 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 49*u - 49*u - 3*u**2 + 0*u**2 + 0*u**2 - 2*u**2 + (-2 + 2 + 2*u**2)*(-5 + 5 - 1).\nAnswer: -7*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729653*n + 729653*n - 140*n**2.\nAnswer: -140*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*h**2 + 0)*(27*h - 19*h - 11*h - 1).\nAnswer: 9*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -583, -1092, -1615, -2158, -2727, -3328, -3967, -4650?\n\"Answer: -v**3 - v**2 - 499*v - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14388, 1, -5?\nAnswer: 14388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 38665 divided by 7733\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 543, 2219, 5035, 8997, 14111, 20383?\n\"Answer: u**3 + 564*u**2 - 23*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217287 divided by -31041.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114107, 456715, 1027731, 1827155, 2854987?\n\"Answer: 114204*o**2 - 4*o - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104233416 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/108 - 450\/(-360)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2 - 51*k - 188 = 0.\nAnswer: -47, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1256934, 10055501, 33937334, 80444067, 157117334, 271498769, 431130006, 643552679?\nAnswer: 916308422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 175*v**2. Let d(o) = 15*o**2 + 217*o - 79*o - 54*o - 84*o. What is h(d(a))?\nAnswer: 39375*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*b**3 - b**2 + 5 + 5 - 13 in the form j*b**3 + d*b**2 + s*b + t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ood when three letters picked without replacement from {o: 2, d: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -888391\/51 + 17419. Are 10 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1475.\nAnswer: -1\/1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 - -3. Let g = 181.76 - 180. Let z = g + -2.26. Sort z, c, -1, 0 in descending order.\nAnswer: c, 0, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2 - 4 + 2 + z. Let p(j) = 4*j. Determine p(s(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91966.09t in milligrams?\nAnswer: 91966090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 10:37 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 10:23 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 - 41084804*d + 82169616 = 0. What is d?\nAnswer: -20542404, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 24 = 4*r. Let p = r - -14. Is p + -2 - (1 - 134) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(8\/(-4)))\/1*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 584*t + 16508. Give u(-28).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14379.38 to the nearest ten.\nAnswer: -14380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22418295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -816 (base 16) to base 4\nAnswer: -200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1302?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-100) - 76\/(-10). Let p = 41 - h. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110010001 (base 2) in base 16?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*w - 5*w + 11642, 3*w + z = 6983. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from oooggogoooooooo?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14)*-3*(-4)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2 - 4*u - 3. Let q be b(-2). Suppose -10 = 5*g - q. Solve 2*d = -g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82326192 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/50 - m**4\/10 + 2*m**3\/15 + 23*m. Suppose a(s) = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*u**3 + 420*f**2*u**2 - 836384*f**2 + 186*f*u**3 + 4*f*u**2 - 2*f*u - 184*u + 289 wrt f.\nAnswer: 2*u**3 + 840*u**2 - 1672768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203564353, -203564354, -203564355, -203564356, -203564357?\nAnswer: -203564358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -8 + 10. Let w(v) = -v - 7. Let p be w(-5). Let b be (2 + (-5 - p))*0. Is b less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*o = -10, -5*o - 4 = -4*d + 3. Let s be 1 - (-11)\/((-66)\/(-90)). Is s + (-6)\/(1 - d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -934772.3 to the nearest 100.\nAnswer: -934800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15430032 (base 6) to base 15\nAnswer: ac688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 33\/4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7*h + 31 = 5*h, -63 = -3*m - 4*h. Suppose 10 = -3*g - 2*x + x, -g - 2*x = 0. Put 3, m, g in descending order.\nAnswer: m, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + 6*o - 3. Let b(c) = c**2 - 2*c + 1. Suppose 7 = -y - 5*m, -4*y + 7 + 7 = -m. Suppose 3*j - y = 3. What is j*h(d) + 7*b(d)?\nAnswer: d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 88 = -6*y. Suppose -2*a + 0*a = -y. Is 44 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8379, -16275, -24171?\n\"Answer: -7896*q - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(1331))**2.\nAnswer: -22*sqrt(11) + 1328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 0.0362 (c) -3\/283 (d) -4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6315, 25319, 57001, 101367, 158423, 228175?\n\"Answer: x**3 + 6333*x**2 - 2*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and -1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-6\/11))\/u*u*u*u\/(u**13*u*u)*u**(-24)*(u**31*u)\/u*u)**33 assuming u is positive.\nAnswer: u**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 8:56 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**2. Let z(d) = 1716025*d + d**2 - 1716025*d. Give -y(u) + 2*z(u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17386 is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383913?\nAnswer: 3, 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7. What is the nearest to u in 1\/3, 0.4, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 10*t + 12*t. Let p(m) = 2*m**2 + 3*m. Suppose -2*a + 6*a + 12 = 0. Let i(u) = -6*u**2 - 8*u. Let b(r) = a*i(r) - 8*p(r). Determine b(x(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13398 and 1061082?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 10*q + 9. Let g be u(9). What is the units digit of 2 + 1 + g + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 17 = 4*v, 8*v + b - 1 = 5*v. Let m(f) = -1. Let k(u) = 5*u + 5. Let t(r) = 2*r + 3. Let y(j) = -3*k(j) + 5*t(j). Determine v*m(q) - y(q).\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**3 - 149*s**2 - 5*s + 5. Let z(x) = -4*x**3 + 75*x**2 + 2*x - 2. Calculate 2*v(u) + 5*z(u).\nAnswer: -2*u**3 + 77*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/4)\/((-220)\/(-352)). Solve -f*s = k - 9, -2*s + 11 + 0 = -k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 4. Is 6 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 6:10 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 337*g - 5255. Determine m(-15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 40420*u = 0. What is u?\nAnswer: -10105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*n = -1231 + 1255, -a - 2*n = -3 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15045 by 67.\nAnswer: -15045\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1998570 and 19\/2198427.\nAnswer: 21984270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -2*q**3\/39 - 2*q**2\/13 - 2*q\/13 - 346. Factor i(f).\nAnswer: -2*(f + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110 - 15*x**3 - 53 - 56 + 2 - 2 - 2*x**3 + (-12*x - 4*x**2 + 12*x)*(4 + 3*x - 4).\nAnswer: -29*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-148.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*l = -120*l - 112 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-10))\/(-1) - (2 + -6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7366956+2\nAnswer: -7366954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -21. Put -2, -3, w in descending order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*f - 8 = -0*h, 0 = -2*f - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(3\/8)*(d\/(d*d**0))\/d)\/(d**(-1\/2)*d*d*d**1\/d))\/((d\/(d\/d**(2\/3))*d\/(d*d**(-6)*d))\/(d**(-1\/4)\/d**(-7))) assuming d is positive.\nAnswer: d**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -25447 (b) 0.5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + -11. What is the tens digit of (-3 + f\/(-8))*54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.32 - -33.32. Suppose 3*f - f + 2 = 0. Which is the nearest to f? (a) i (b) 6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -332, -1352, -3062, -5468, -8576, -12392, -16922?\n\"Answer: -t**3 - 339*t**2 + 4*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*180 - -3 - (-1 - -2)?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3252 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*c**3 + 15*c**3 - 21*c**3 + 3*c**3.\nAnswer: -49*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 47. Let x = r + 30. Find the second derivative of x*q + 6*q + 4*q + 9*q**3 wrt q.\nAnswer: 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.171 + 0.329. Which is the third smallest value? (a) p (b) -0.3 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14072459 to the nearest integer?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3652324 divided by 1?\nAnswer: -3652324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * 3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1\/c)**7)**(-34)*(c*c*c*c\/((c**5\/c*c)\/c)*c*c*c**2\/c)**24 assuming c is positive.\nAnswer: c**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.80348*0.08.\nAnswer: -4.6242784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(m**2 - 2*m + 2*m) + 8*m - 4*m**2 - 8*m - 3*m**2 + m**2 + 0*m**2 + (-3 + 0 + 1)*(-2*m**2 + m**2 + 3*m**2) + 6*m**2 + 19*m**2 + 3*m**2.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7463864072011 + 0.3?\nAnswer: -7463864072010.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/(-8*42\/1120). Sort v, -4, -8, 41 in descending order.\nAnswer: 41, -4, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.29 and 2.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012728 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 7. Let p(y) = y**3 + 8*y**2 - 7*y + 11. Let z be p(-9). Let l be m(z). Suppose l*v = 5*v. Put 5, -1, v in descending order.\nAnswer: 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 3*v**2 + 0*v**2)*(3*v - 3*v - 2*v + (2 + 0 + 0)*(-v + 2*v + v) + v - 3*v - v + 3*v - 6*v + 2*v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 25 = 5*d, -2*n + 3089 = -3*d + 3077 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + (26 + -42 + 31 - 22)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 506 - 303. What is the remainder when p is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + f**5 + 2*f**5 + (3*f**5 + 2*f**5 - 7*f**5)*(2 - 1 - 3) + 2 - 2*f**5 - 2 + 27*f**5 - 859*f**4 + 859*f**4.\nAnswer: 30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 9:38 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 236*m**2\/3 + 2*m\/3 + 236\/3.\nAnswer: -2*(m - 1)*(m + 1)*(m + 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21a + -3?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6672 less than 4?\nAnswer: 6676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -139*n**2 - 2*n + 11. Let x be h(-9). What is x rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 - 141. Is (-1964)\/(-8) + 6\/v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 2 (c) -1 (d) -133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 8*y + 3. Let z be n(0). Solve -2*l - 1 = -4*j + 1, -3*l - z = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 13*o - 27. Let b be k(-12). Suppose 3*h - b = -9*g + 10*g, 15 = -5*g. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -19. Let y(k) = k**3 - 4*k**2 + 9*k - 8. Let i be y(3). Calculate the greatest common factor of i and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83.7 + -84. Let l be ((-1)\/(-4))\/((-5)\/(-20)). Which is the closest to 4? (a) m (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i**2 + 46*i**2 + 34*i**2 - i + 10*i**2 as o*i**2 + s*i + q and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 2*q + 25 = t, -4*t = -4*q - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7755\/99)\/((-1)\/(3 + -78)). Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(320) + 0) + (sqrt(320) + -1)*5 - ((1*(2 + sqrt(60)\/sqrt(3)))**2 + 3).\nAnswer: -32 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -211.7787 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, and 1 c when three letters picked without replacement from rcrrrrrcrlrrrrccrrrc?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/2 of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500 = 579*j + 658 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59683, -119354, -179023, -238690, -298355, -358018, -417679?\nAnswer: -477338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + ((2*sqrt(162))**2 - sqrt(162)) + -4 + (sqrt(162) - (sqrt(162) + -2)*5).\nAnswer: -36*sqrt(2) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60786, 121570, 182354, 243138, 303922?\nAnswer: 364706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(1000))\/sqrt(5)*-2 + (-6*sqrt(4)\/sqrt(2) - (5 + 2*sqrt(2))**2) + -2).\nAnswer: 18*sqrt(2) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 20. Suppose -5*z = g - 80, g - 2*z - 68 = -z. Let o = g - 58. Calculate the remainder when k is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32248147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifff when four letters picked without replacement from {f: 5, t: 4, i: 7}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than -5.760263?\nAnswer: 6.239737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:12 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394909*q + 3 = 2*k - 394918*q, -3*k - 2*q - 11 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117113785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -230 - 0?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(3)*-3)\/(sqrt(4) + 6*sqrt(4)*1))**2.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:53 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h**2 - h. What is the remainder when f(1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4 - 2 + 13*p - 3. Let d be w(3). Calculate the highest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/9 + (-4)\/6. Let v be 1 + -2 - (-15)\/18. What is the third biggest value in -4, c, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 77\/4 and 20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 13*t**4\/12 - 11*t**3\/6 + 8410*t**2. Let u be -3*(-10)\/(-3) + -1. Let h(c) = 1 + 0*c + 1 - 5*c. Give u*h(g) - 2*f(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4500.5 less than 0.20308?\nAnswer: -4500.29692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i - 20*i**3 - 8*i + 21*i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*(0 - 4\/8). Suppose d*z = 2*z + 9. Suppose 4 = 3*y + 2*s - 3*s, -z*s = -5*y + 12. Solve -3*b - u = 6, b + 3*u + 13 - 3 = y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(36\/22) - -1. Let n be (-348)\/(-22) + 2\/11. Let y = n - 49\/3. What is the closest to j in y, 1\/6, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 51 = -4*z, -4*z + 3*z - 16 = -5*c. Let q = 24 - z. Suppose -4*p = 86 - 386. What is the greatest common divisor of q and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 - 0.04. Let d = 1280570 - 1280569.90999948. Let m = d - k. What is m rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ububhbn. Give prob of sequence uub.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78546*i**6 - 3*i**5 - 3*i**3 - 10394920*i**2?\nAnswer: 9425520*i**3 - 180*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*u - 3*u - 75, 0 = 5*u + 2*i + 323. Let y = u - -285. Does 37 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 plus 346168889875?\nAnswer: 346168889839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/33 - 14720\/7920.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290866, 581740, 872614?\nAnswer: 1163488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6712.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -35, 1.\nAnswer: -35, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 31*d - 6*d + 6*d.\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 7*y + 5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c + 4*h - 12, 5*h = 4*c + 15. Suppose -2*m + 5*n = -90 - 46, c = -3*n - 12. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -405b + 6b?\nAnswer: -3dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(18)\/(-5*sqrt(6)))*-4 + -3.\nAnswer: -3 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37c8 - 12?\nAnswer: 37b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 7:05 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45008, 90657, 136306?\n\"Answer: 45649*f - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 - 370*l**4 + 965*l**2 + l.\nAnswer: -240*l**3 - 8880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 317444 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9.678146*0.5\nAnswer: -4.839073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/(2 + 21\/(-10)). Suppose -f = -4*n + t, -2*n = -3*n - 5*f + 9. Find the third derivative of -7*d**5 - 8*d**5 - n*d**5 - 20*d**2 wrt d.\nAnswer: -1140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/667 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.172 + -0.572. Which is the smallest value? (a) -2\/11 (b) f (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 7:03 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/4381419 and 74\/22515.\nAnswer: 21907095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u. Let z be (-15)\/12*4\/(-1). Let d be n(z). What is the common denominator of -3\/8 and 1128\/420*d\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1162, -49, -1 in decreasing order.\nAnswer: 1162, 2, -1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0*s**3 + 0*s**5 + 1\/24*s**6 + 0 - 5\/24*s**4 + 0*s + 5*s**2. What is the second derivative of w(y) wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15288.094 - 15196. Let z = -56 + 148. Let b = z - j. What is b rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Let q = -9 - -14. Suppose 9*v = h*v - q, -2*a + 131 = -5*v. Round a to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38771600 to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-1057)\/(-35) - 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13605.7762 to the nearest ten.\nAnswer: -13610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2\/(-110))*-1. Suppose -34 = -u + s. Suppose 3805*x = 3913*x - 9504. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -36. Suppose -t + g = -2*t. Let w = 20 + t. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*t + 170*t = 3033 - 25913 for t.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (-6 - 36 - -131).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x**3 + 2*x**2 - 5 + 0*x**2 - 17*x**3 - 7 to the form b*x + v*x**2 + o*x**3 + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 964.2375 millimeters to meters.\nAnswer: 0.9642375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-45)\/783)\/(665\/(-399))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 403, 401, 399?\n\"Answer: -2*f + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 1:16 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - o - o**2 - o)*(-5*o - o + 12*o - 47 - 12*o + 47 + 1 - 1 + o + (2 + 0 - 4)*(2*o - o + o) - 2*o - o + 5*o)*(20 + 4 + 5).\nAnswer: 406*o**3 + 406*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*s**2 - 290*s + 290*s + 559*s**2 - 294*s**2 + 11*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 12 = 7*t, 0 = -5*q + 3*t + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:26 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + m - 18*v - 19 = -3, -3*m - 778*v = -781*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 16*y + 19. Let t(k) = -k**2 + 16*k + 8. What is the least common multiple of t(16) and r(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -200, -1148 in decreasing order.\nAnswer: 1, -200, -1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1434 and 7\/275?\nAnswer: 394350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k + 28*k - 12*k - 8*k - k**2. Let r(g) = 3*g**2 + 2*g. What is r(n) + 2*y(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166693?\nAnswer: 11, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 6 - 2)*(0*a + a + 0*a) + a + 2*a - 2*a + (0 - 4 + 2)*(3*a + a - a))*(0*a + 0*a + 2*a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 969279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -248*p**2 - 508*p - 24. Determine t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (37 + -35) - (-7 - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132910\/13 or 10223?\nAnswer: 132910\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 126 = -5*b, -86 = 4*b - 2*d + 16. Let f be 4\/6*(-117)\/b. Differentiate 5*s**f + 5 + 0 - 3 with respect to s.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 14 - 51*n**2 - 1 - 6 - 3.\nAnswer: -51*n**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1043*i - 1. Let n(l) = -l**2 + 20*l - 63. Let b be n(16). List the prime factors of j(b).\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -25*i**2 - 378. Let u(o) = 4*o + 7. Give u(y(z)).\nAnswer: -100*z**2 - 1505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348*g**3 - 12691*g?\nAnswer: -2088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -r - 5*l, 2*r + 4*l - 15 - 17 = 0. Calculate the remainder when 85 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 320*g**2 - 317*g - 638.\nAnswer: -(g - 319)*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 - 4 = 0. Let l = -0.5 - -0.7. What is the nearest to l in -0.1, -0.2, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(891) + -1 - sqrt(891))**2*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 1 - 2*q + (-q - q + 4*q)*(1 - 2 + 9) in the form z + p*q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 314529 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -10. Let a be (8 + -10)*1\/g. Sort 2\/11, -5, a.\nAnswer: -5, a, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93524.96l?\nAnswer: 93524960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 5*x - 7. Let j be a(-5). Let d = -4 - j. Let u(w) = -2 - d*w + 7*w - 3*w. What is u(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 11*g**2 - 25*g + 14. What is u(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2 - 6 + 2 + 7 - c. Let r(m) = 2*m - 3. Calculate r(g) + x(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -60.046. Let i = 0.046028 - d. Round i to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 41 = -62. Suppose 0 = -2*b - 2*f + 66, 3*b + 0*f = -f + s. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 556, 1, 2, -0.5.\nAnswer: -5, -0.5, 1, 2, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 81375.33us?\nAnswer: 0.0013562555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -3*f**8\/14 - 2*f**7\/21 - 17*f**4\/4 + 60*f. What is the third derivative of w(h) wrt h?\nAnswer: -1440*h**3 - 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16*f**2. Let l(t) be the second derivative of -t**4\/12 + 8*t. Determine z(l(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20700868 - 3?\nAnswer: -20700872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 418882166 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -49. Let l(b) = b**2 - 11. Let k be l(s). Calculate the greatest common factor of 28 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -24. Calculate the highest common factor of j and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/6*r**3 + 0 + 13\/2*r**2 + 2*r. What is the units digit of w(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326 by -1.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 2*n**7\/7 + 13*n**6\/6 + 91*n**5\/20 + n**4\/12 - 31*n**3\/6 + 3*n**2 - 225*n - 1. What is p in i(p) = 0?\nAnswer: -3, -2, -1, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 917527 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u. Let y(z) = 8*z - 1. Let w(j) = 4*f(j) + 3*y(j). Find the first derivative of w(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1116, 8913, 30106, 71391, 139464, 241021?\n\"Answer: 1116*o**3 + 2*o**2 - 21*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 153. Calculate the common denominator of (-6)\/8*w\/45 and ((-1)\/(-24))\/((-2)\/236).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/12*((-396)\/(-14))\/(5\/((-560)\/(-64))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8576.647ml to litres.\nAnswer: 8.576647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-20) + 39\/5. Let w(c) = a*c + 8*c - 15*c. Give w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 475 and 36100.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959 + 630 = -141*n + 799 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19245, -77166, -173777, -309090, -483117, -695870, -947361, -1237602?\nAnswer: -1566605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391 + -387. Suppose 5*z - 2827 = -k*n, -20*n + 15*n - 5*z = -3530. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 - v + 7. Let a be m(0). Suppose -4*n + a = -37. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4010586 to the power of 1\/2, to the nearest integer?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690131 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 6\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3246 + -3245.99429. What is l rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 5*f**2 - f**2 - 4*f**2.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -616.8 + 617. Which is the fourth smallest value? (a) 0.3 (b) v (c) -33 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121\/726)\/((2\/(-12))\/((-1)\/(-4)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1388 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 6*g**2 - 3*g. Let u(n) = -n**2 - 6*n - 6. Let z be u(-6). Let m be y(z). Let h = m - 7. What is the remainder when 31 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/((-39)\/24 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181 + 45*k - 181)*(-3*k**2 - 3*k**2 + 4*k**2)*(-2 + 0 + 1)*(-3*k + 0*k + k) - 3*k**4 + 4 - 4.\nAnswer: -183*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2894004331?\nAnswer: 5701, 507631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 37. Let w(r) be the third derivative of 1\/60*r**6 - 1\/30*r**5 - q*r**2 + 0 + 1\/6*r**3 + 0*r - 1\/12*r**4. Calculate w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(4\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250 (base 10) in base 11?\nAnswer: -1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-1))**(1\/25)*(r\/(r**(-2)*r)*r*r*r)\/(r**0\/r) assuming r is positive.\nAnswer: r**(153\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27571288733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1211 + 1237. Calculate the least common multiple of c and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -3.04. Let j = -1009 - -1004. Sort b, 0.3, -1\/6, j.\nAnswer: j, -1\/6, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/30 and (-6)\/(-10) - (-2877)\/(-1470).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 0.4, 24 in descending order.\nAnswer: 24, 5, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -490 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3297491 = -382*x + 16368251. What is the ten thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -7, -0.5, -2\/13, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2418.802 + -2169.54. Let r = 249 - h. Let s = r - -0.439. What is s rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = -14. Let u be (-1)\/i*27\/6. Suppose 0 = 2*o + 2. Which is the second biggest value? (a) -1\/6 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4578983?\nAnswer: 1259, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367, -375, -371, -349, -303, -227?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1759, 1755, 1733, 1693, 1635, 1559?\nAnswer: 1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 191 = 3551. Let z = -2562 + q. Round z to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 770 = -31*i. Let f be (-3)\/((-1*2)\/2). Is 10 a factor of -1*f*i\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 304.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b = -47*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2. Let f(b) be the third derivative of b**3\/6 + 22*b**2. Let w(v) = 2*v + 3. Let c = -3 + 9. Let j(l) = c*f(l) - 2*w(l). Calculate j(x(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x - 6*x = 0. Suppose -5*w + 5*j + 350 = x, -20 + 232 = 3*w - 5*j. Let s = -69 + w. Solve -n + 5 + 0 = s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49980 or 48315?\nAnswer: 49980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 90\/120 - (-2)\/8. Solve -5*h + 24 + c = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkhpkkkkkkkkkk. Give prob of sequence kh.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*z - 19, 33*k + 67 = 5*z + 130*k for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-8 - -21 - 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40875 - 202*n**2 + 40833 + 203*n**2.\nAnswer: n**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21758 is divided by 10840.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 + 246. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19343 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 o when three letters picked without replacement from {k: 4, w: 2, l: 3, z: 2, o: 3, e: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/7)\/l**(-19) assuming l is positive.\nAnswer: l**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 23*x**3 + 3*x**2 - 3*x. Let h be i(1). Suppose 0 = -5*p - 32 - h. Let q be (-33)\/p + (-1)\/(3 + -2). Solve -q*y = -4*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 64*x + 330. Let f be b(-5). Solve -h - 3*n + 22 = 7, -2*n = 3*h - f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 2 (b) -13\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcs when three letters picked without replacement from {d: 3, r: 2, k: 1, j: 3, s: 2, c: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 11. Let p = -0.035 + 22.535. Let s = k - p. Sort 1\/2, -1\/5, s.\nAnswer: s, -1\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34732360.5 rounded to the nearest 10000?\nAnswer: 34730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2254203 and 5985?\nAnswer: 214149285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026681333 rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20 = -2*k. Suppose 2*j = -5*n + 206, 0*n - 5*n + k*j = -185. Let m = n - 42. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*148.442.\nAnswer: 13.35978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*50\/80\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1976, -3185, -5170, -7931, -11468?\n\"Answer: -388*g**2 - 45*g - 1543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.13339268 rounded to three decimal places?\nAnswer: -45.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34737 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 985266312 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-5330)\/(-738) + 2\/6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1412*l**3 + 41*l**2 - 24*l - 22. Let k(x) = -471*x**3 - 14*x**2 + 8*x + 8. Let g(d) = 4*a(d) + 11*k(d). What is the third derivative of g(t) wrt t?\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 348, 413, 504?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 - 31924*s**4 + 64658364*s**3 - 3822222924*s**2 - 8097693120*s + 11855289600 = 0. What is s?\nAnswer: -3, 1, 63, 3960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 156006.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 25 = 5*h, -2*k + 3*h = -7*k + 15. Suppose -2*n + 0*u - 3*u + 9 = k, 3*n + 4*u - 12 = 0. Which is greater: n or -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let a be b(-1). What is the common denominator of 89\/8 and ((-4)\/(-248))\/(a\/22)?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - -0.22. Let v(z) = -z**3 - 4*z**2 + 7*z + 7. Let q(d) = 2*d + 7. Let i be q(-6). Let j be v(i). What is the second biggest value in l, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 12:10 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 2.2. Which is smaller: -11 or o?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 106 - 73 + 224)*(-2 + 2 - s).\nAnswer: -253*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*g**2*h*l**2 + 33*g**2*h*l + g*h*l**2 + 3*g*h*l + h*l**2 + 4*l**2 - 10*l wrt l?\nAnswer: 206*g**2*h + 2*g*h + 2*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 5*k + 10 = 12*d, -3*d + 2 = -k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 3*i + 3. Let n be p(3). Let o be 42*(-1 - 6\/(-4)). Calculate the highest common factor of o and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzssossgpzs. What is prob of sequence sogz?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8120 = -9*d - 5*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213 - 208. Let t = 1.7 + -2. Put z, t, -0.4 in decreasing order.\nAnswer: z, t, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-98)\/(18816\/(-288)) - (-392)\/197.\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -2331?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125.4600005169 - 125.46. Round t to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-300)*(-50)\/(-1))\/(21\/(-2))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -10*n**3\/3 + 7*n - 2. Let h(t) = 9*t**2 - 6. Let a(x) = 7*h(x) + 6*y(x). Factor a(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.4. Let p be ((-1288)\/46 + 23)*8\/(-50). Which is the third smallest value? (a) p (b) y (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*j*p*x - 27*a*p**2*x - 4*a - 34*j*p*x - 2*j*p + 2*p**2 with respect to a.\nAnswer: j*p*x - 27*p**2*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 610.0855ng?\nAnswer: 0.0006100855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 3. Let q = -39 + 48. Let x(w) = -1 + q*w - 18*w + 4*w + 6*w. Determine 2*r(n) - 10*x(n).\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -10*x + 7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s + 3. Let p be z(7). Let f = p + 44. Solve -3 = -3*n - b + 2, n + 2*b = -f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:53 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1537*f - 795*f - 20*f**2 - 750*f.\nAnswer: -20*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Are 23235383\/2 and 11617692 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 166539 from 148046.\nAnswer: -18493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17161 and 1310.\nAnswer: 171610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 34 = 16. Suppose -2 = 2*f + 2*x, f = -x - x. Find the common denominator of b and 4 + f - (-135)\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 165. Let m = u + 112. Which is the nearest to -1? (a) -5 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6412 and 49506136.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/260991 and 49\/7344?\nAnswer: 212968656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.88 and -249.\nAnswer: -248.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -327\/2 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(66)*-1)\/(-1*sqrt(96)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.87*0.4208.\nAnswer: -29.401296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 95 = -50. Let r be 13\/(-8) + -2 + (-5 - s). Which is the fourth smallest value? (a) r (b) 0.4 (c) -0.02 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1591026 or 1591027?\nAnswer: 1591027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679437 is divided by 3414?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -29. Which is the nearest to 2\/9? (a) 4\/5 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -41. Let i = 9.9999961 + u. Round i to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 801212 and 801248 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9794, 10072, 10350?\nAnswer: 10628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 503219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1659, -3321, -4983, -6645, -8307, -9969?\nAnswer: -11631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541201801.\nAnswer: 7, 77314543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2071.3 + -2071. What is the nearest to -1\/10 in m, -0.6, 5, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21425 - 73321 - 38499 = -81*q. What are the prime factors of q?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -90, -145, -254, -435?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a = -16*a - 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 4*y - 5. Let r be w(-5). Suppose 2*d + r = -10. Let v(a) be the first derivative of -a**3\/3 - 3*a**2\/2 + 4*a + 3. Give v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 579, 586, 583, 564, 523, 454?\n\"Answer: -h**3 + h**2 + 11*h + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 453 - 299. Let j(w) = 11*w**2 + 7*w + 4. Let v be j(-4). Factor 4*z**4 - 2*z**4 + 6*z**3 - 10*z**2 + v*z**5 - f*z**5 + 4*z.\nAnswer: -2*z*(z - 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4751 + 3799. Round y to the nearest ten.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 1. Let s(r) = 3*r + 6. Suppose m + 6 - 5 = 0. Let p be (2 - 0) + m - -2. Let t(c) = 2*c + 5. Calculate b*t(y) + p*s(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 10*f - 1. Let u(v) be the third derivative of v**5\/20 + 7*v**4\/8 + v**3\/3 + v**2 + 1778*v. Determine 13*c(h) + 6*u(h).\nAnswer: 5*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94*(-37)\/3330*45.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and 460.\nAnswer: 459.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6748 is divided by 483?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2289 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s - 5. Let c(v) = 9*v - 4. What is -4*c(z) + 3*k(z)?\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -11*l**6\/120 - l**5\/6 - 2*l**3\/3 - 5*l**2. Let z(k) = 10*k**3 + 11*k**2 + 5. Let t(n) = 5*q(n) + 4*z(n). Factor t(j).\nAnswer: -3*j**2*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1))**(-11\/2)*n**(2\/3)\/(n*n**(-5)\/n) assuming n is positive.\nAnswer: n**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51334, -51364, -51394, -51424, -51454, -51484?\nAnswer: -51514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -102. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*1)**2 + sqrt(208))*-5 - ((2*(sqrt(156) - 1*sqrt(156)) + sqrt(156))\/sqrt(12))**2.\nAnswer: -1053 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 38*k = 40*k + 2, 9 = h - k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 + 130 - (0 + 2 + -1 - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**6\/80 + 1773*r**5\/40 - 697379*r**4\/16 - 699153*r**3\/4 - 4198467*r**2\/16 + 214*r. Determine c, given that m(c) = 0.\nAnswer: -1, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*t - 415 + 393, -t = -5*v + 26. Let s(n) = 24*n**3 + 3*n**2 + n. Let q(z) = z**2 + z. Determine t*s(a) + 3*q(a).\nAnswer: -24*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -3\/5, 0.4, 3, -0.218, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7245803 * 0.25.\nAnswer: 0.681145075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d - 9. Let j be s(7). Suppose 3*z - j = -4, -b = -2*z - 117. List the prime factors of b.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**3 + 4*a**2 + 3*a + 2. Let g(b) = 4*b + 2 - b**3 - 7*b**2 + 0*b**3 + 12*b**2 - 5*b**3. Calculate 5*d(y) - 4*g(y).\nAnswer: -y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3)*((-6)\/(-5))\/(84\/(-140)). Let s = -1.5 - -2. Sort -5, f, -36, s in ascending order.\nAnswer: -36, -5, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3860*x - 46314. Determine n(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -153 in -14\/3, 5, -3\/17?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d - 2*p - 1130, 206*p - 75 = d + 631*p - 215*p - 207*p for d.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 784 divide 8146544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-288)\/504)\/((-63)\/588).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 148. Let h be q\/(-2)*2\/5. What is the units digit of h\/8 - 6\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7*((-60)\/(-42))\/5. Let u be (160 - -1)\/(-1 - h). What is the greatest common factor of 23 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 7496*r - 1205708.\nAnswer: 4*(r - 149)*(r + 2023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*c - u - 537, 5*c - 5*u = -890. Let i = c + 306. Suppose -2*x + d = 3*x - i, x - 4*d - 25 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) -0.3 (b) -0.4 (c) 156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:42 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*u + 4*h - 64, 0 = -3*u + 4*h - 66. Suppose 528 = -20*l + 1348. Let n = l + u. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y - 40. Let f(c) = c**3 - 11*c**2 - c + 14. What is the least common multiple of f(11) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o. Let b(f) = 20*f. Suppose -x + 9 = 4*l, 0 = -5*x + 4*l - 2*l - 43. What is x*q(t) + 3*b(t)?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 0. Let y = -9 - -11. Let s(t) = 62 - t - y*t - 62. Give s(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(1\/3)\/n*n))\/n*(n\/n**(-16))\/n*(n\/(n**(-15)\/n))\/(n\/((n**0*n)\/n)))**(-2\/3) assuming n is positive.\nAnswer: n**(-196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 639, 50, 0 in decreasing order.\nAnswer: 639, 50, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7778671 is divided by 136465.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) -3 (c) -2\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/(-1428)*(-45)\/20?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 8:05 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200668?\nAnswer: 2, 13, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 5. What is y(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2885.6685 hours to days.\nAnswer: 120.2361875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266 - 802 + 3058*a + 271 + 265 to j*a + s and give j.\nAnswer: 3058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-16) - 1038\/624 and -11\/10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (829325\/6770)\/((-35)\/20)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 15 + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*g - 6125 = 1439*g - 588*g for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2\/25 (b) -3 (c) 2\/7 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3167*d**3*r**3 - 13*d**3 + 13*d**2*r**3 - 5*d*r**3 + 11*d*r + 6*d - 72*r**3 wrt d?\nAnswer: -19002*d*r**3 - 78*d + 26*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 994650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -32. Let h(q) = -q**3 - 6*q**2 + 8*q + 19. Is h(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.386442 less than -648503?\nAnswer: -648520.386442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 236346151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + -9.06. Let g = 8.9 + o. Which is the smallest value? (a) 0.5 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -40?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 - 3*o**2 - o. Let j(p) = 2*p**3 + p**2. What is -3*j(x) - t(x)?\nAnswer: -2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7.756 (b) 10 (c) -77\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2 - 10545*l + 6833718 = 0.\nAnswer: 857, 2658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*b**3 + 62*b**3 + 38*b**3)*(0*b - 2*b + 0*b) to t*b + s*b**3 + u*b**4 + x*b**2 + o and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvnhhvnnvnv. What is prob of sequence nnv?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50.07 + -95309.\nAnswer: -95258.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17462*k**2 + 9554*k**2 - 20673*k**2 - 7736*k**3 wrt k.\nAnswer: -46416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4733 is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 65?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 108 = -4*r. Let q be (-3)\/2*120\/r. What is the second derivative of 4*s - 3*s**q + s**5 + 5*s**5 - 6*s wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etfjectv. Give prob of sequence fv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o + 10. Let m(y) = 4 + 2*y - 22*y - 15 + 11*y + 2*y. Calculate 6*m(w) + 5*u(w).\nAnswer: -2*w - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h - 82 = -779 + 61. Solve 0 = -h*t - 10 - 62 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118\/140013 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 79684*k + 14797280.\nAnswer: -4*(k - 184)*(k + 20105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u, -14*j = -16*j + 4*u + 1534. List the prime factors of j.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 12*c**2 + 13*c + 2. Let f be i(7). Sort f, -2, 1, 2 in descending order.\nAnswer: 2, 1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and 1345.\nAnswer: -34970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1553055.540129 plus -5?\nAnswer: -1553060.540129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -346.3854 - -346.7. Round r to 2 decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211230?\nAnswer: 2, 3, 5, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttfyfyfftfytyyffytt. Give prob of sequence yt.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39118 - -39142. Let i be ((-4)\/3)\/(6\/27). Let s(w) = 2*w**2 + w + 2. Calculate the remainder when s(i) is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from {g: 6, r: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 + k**3 + 2*k**3 + (-7*k + 5*k + 6*k)*(-k**2 + 0*k**2 + 3*k**2) + 0*k + k**3 + 0*k in the form b*k**3 + c + v*k**2 + q*k and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25041678, -25041681, -25041684, -25041687, -25041690, -25041693?\n\"Answer: -3*r - 25041675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.249, 0.3, 0, 41 in descending order.\nAnswer: 41, 0.3, 0.2, 0, -0.249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 + -201222?\nAnswer: -200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 269. Is g(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (408\/952)\/((-2)\/14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 78, 1, -5.\nAnswer: -5, 1, 2.5, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -32*q + 3*k, 3*q + 306*k = 2*q + 310*k - 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1134*k = 1129*k + 24, 0 = z + 2*k - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10300 - -1?\nAnswer: -10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k + 220. Calculate the lowest common multiple of d(17) and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:26 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1727613734 and 10102.\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0974 + 1.0974. Let h = -7309 - -51017\/7. Let d = 633\/28 + h. Sort d, 5, j, 0.1.\nAnswer: 0.1, j, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 196\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:07 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2714796220 and 5.\nAnswer: 2714796225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v = -140. Let z = v + -20. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651.\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2008\/(-753))\/(2\/12*(-8)\/(-14))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7*h + 4*a = -80, 5*a = 10. What is the remainder when h is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - p)*(1 - 2 + 2 + (2 - 6 + 2)*(2 - 1 - 2))*(-2 + 3 - 4).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 3*g + g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.7 - 34.7. Let z = -2.956 + -0.044. Sort z, -2, 2, j in increasing order.\nAnswer: z, -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1.0912.\nAnswer: -3.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*c**4\/4 + 43659*c**3\/2 - 183477*c**2\/4 + 8469*c\/2 = 0. What is c?\nAnswer: -941, 0, 3\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = 4. Suppose 135 = -0*j + 45*j. Calculate the greatest common factor of z and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 + 4\/(-8)*-8?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 8*v - 2680 - 3576 = 0. Solve -111*q + 157*q = -v for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80288, 160769, 241236, 321683, 402104, 482493, 562844?\nAnswer: 643151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5 - 14*z**4 + 34*z**3 + 132*z**2 - 315*z + 162 = 0.\nAnswer: -3, 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/21 + 2*j**3\/7 - 2*j**2\/7 - 22*j\/21 - 4\/7 = 0. Calculate j.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**2 + q. Let v be x(1). Let n = 5 + v. Solve 4*s - n - 15 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1014304 - -4?\nAnswer: -1014300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 + 182. What is the remainder when m is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.573 + -0.773. Let v = -12 - -7. Which is the fourth biggest value? (a) v (b) 4 (c) 2\/9 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 45 = 40. Calculate the remainder when (2 - -1)\/(1\/(-16)*o) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8531306 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*p - 9763, 0 = 2*p - 3*p - 4*j - 1948. Let x = -722 - p. Suppose 0 = 5*w, -5*o = 3*w - 2*w - x. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 6*a - 4. Let g be p(2). Let j(o) = -o**2 - 1. Let n be j(1). Sort -4, g, n in descending order.\nAnswer: g, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37250 to the nearest one thousand.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31795163789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001114236003 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -6*l - 180. Let h = 33 + l. What is the fourth biggest value in h, 0.3, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41689.49 millimeters in centimeters?\nAnswer: 4168.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 3*t + 1. Let f be j(-3). Let i be -3 - (0\/2 - f). Let h = -71 - -70. Put 2, h, i in ascending order.\nAnswer: i, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -258 in 3, -4\/3, -4761, 0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2782*d**3 + d + 0*d - 3*d - 29 + 2102*d**2 + 36 - 2104*d**2 wrt d?\nAnswer: -16692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73827 take away 0.15?\nAnswer: 73826.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by 1.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-1404)*(-12)\/(-10)*(-3)\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29041717.\nAnswer: 29041717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89133.07 weeks in hours?\nAnswer: 14974355.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 + 785*b - 6344 = 0 for b.\nAnswer: -793, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (262\/131)\/((-4)\/(-18)) - -3*(-23)\/6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34053493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626801?\nAnswer: 3, 11, 49297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105825.2 rounded to the nearest one thousand?\nAnswer: 4106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - (7 + (4 - 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52705 (base 11) in base 13?\nAnswer: 28bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 1. Let n be f(0). Suppose 24*j = -17*j + 15*j - 34*j + 1980. Calculate the lowest common multiple of j and (-30)\/7*(-7)\/n.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s + 3. Let d be q(2). Let o be 14\/((-25)\/9 - d). Let x = -156 + 165. What is the highest common factor of x and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/22252 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1313300 (base 4) to base 3.\nAnswer: -101111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 (base 15) in base 5?\nAnswer: -11223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 45*i**5 - 44*i**5 + 3*i**4 + 2*i + 0*i + (3*i**3 - i**3 + i**3)*(-3*i**2 + i**2 + 4*i**2).\nAnswer: 7*i**5 + 3*i**4 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3 = -2*b + 21, 3*z + 2*b = 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*n + 253 - 1671, -10 = 5*n. Calculate the greatest common divisor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009631 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:49 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -446393205*y**3 - 5497411*y - 32 wrt y.\nAnswer: -2678359230*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-15) - (-4)\/(-20). Suppose 48 = v*x + x. Suppose -11*j = -x*j + 90. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227630 is divided by 89.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (10 + -7 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 + 0 + -1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 756037182, 756037183, 756037184, 756037185, 756037186, 756037187?\nAnswer: 756037188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/11 - 4258*s\/11 - 258184\/11.\nAnswer: 2*(s - 2188)*(s + 59)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5848*j + 2 + 5848*j - 2 + 93*j**3 - 90*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131113330 (base 4) to base 2.\nAnswer: -11101010111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 9:10 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 2 = 3*i + 2*u, -5*i - 8 = -4*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -13*t**7\/21 - 11*t**3\/6 - 9*t. Find the second derivative of j(k) wrt k.\nAnswer: -520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cb8 + 219c?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/31? (a) 0.01 (b) -1.52 (c) -2\/7 (d) 2\/3 (e) 0.3 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 14 + 5*x - 14 as s + d*x and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 10*v + 1. Let m be y(9). Is -3 - 36\/8*m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -14. Suppose c*f - 190 = -0*f. Is 71212\/f - 3\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24432, -24357, -24282, -24207?\nAnswer: -24132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - 0.11. Let n = 0.48 + t. Let x = n - 0.31999926. Round x to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a - 9*a + 10*a)*(-1 + 2*a + 1)*(-4*a - a + 6*a).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1019 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741 = -6*r - 0*r + 711. Calculate the remainder when r is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 13. Let r be c(6). What is the derivative of -r*a - 9 + 7*a - 11*a**2 - 14*a**2 wrt a?\nAnswer: -50*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 17*n - 21*n. Let d = n - 55. What is the third derivative of d*m**4 - 2*m**4 - 2*m**4 + 27*m**2 - 22*m**4 wrt m?\nAnswer: -624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -904*v**2 + 7445*v - 1680. Give h(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20214117 and 2673?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p. Let r(q) be the first derivative of -3*q**3 + 4. Calculate r(s(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 638.6 - 754. What is s rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011022 (base 3) to base 10\nAnswer: -845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 1\/6, -4.7, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -243?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 314*p + 25902. Calculate k(-87).\nAnswer: -1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 6*j**2 + j - 4. Let i be d(6). Let y(f) = f**3 - 324*f**2 + 642*f + 644. Let h be y(322). Solve -4*b = i*s, -3*b + 4*b - 4*s = h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18976 and -18977 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -28*q + 5. Let v(u) = 138*u - 28. What is -11*h(r) - 2*v(r)?\nAnswer: 32*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {g: 3, y: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/24)\/(-5)*(-90468)\/359.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3626946270 to the power of 1\/2, to the nearest integer?\nAnswer: 60224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11211 - 1004?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*b*o**2*s**2 + 7027495*b*o**2*s - b - 3*o*s**2 + 7*o*s + 3*o + 107194*s**2 wrt o.\nAnswer: 70*b*s**2 + 14054990*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 40720171 to the nearest 10000.\nAnswer: 40720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 23*a - 40. Calculate u(-15).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*b + 15*b + 20*b)*(-1 - 3 + 3) to j*b + s and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6112 - 1746*k**2 - 6112 + 1744*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 52\/16 + -1. Let r = w - 5. Let d = 1.4 - 1.3. Which is the third smallest value? (a) d (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmamam?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94121.24km to meters.\nAnswer: 94121240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dglzh. Give prob of picking 2 z and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j + j**2 + j**3 - 5*j + 31*j**4 + 4*j + 0*j - 5*j to t*j**2 + m*j + s*j**3 + v + f*j**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35686 and 1162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f - 2*f)*(4 + 0 - 2) - 2*f + 0*f - f + (2 - 2 - 3)*(-189*f + 1035*f + 601*f).\nAnswer: -4346*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**6\/120 - k**5\/40 + k**4\/8 + k**3 + k. Let j(p) be the second derivative of a(p). Is 10 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5513 (base 7) in base 4?\nAnswer: 132302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -f + 11, c + 5*f - 13 = -0*c. Let n be (-138)\/c + (-4)\/(-14). Suppose 5*r - n = -0. Solve -r*a - 25 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6718727*b**2*i**3 - b*i**3 - 3*i**3 + 335452*i**2 + 1 wrt b.\nAnswer: -13437454*b*i**3 - i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78264 is divided by 2991?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 63614450 to the nearest ten thousand.\nAnswer: 63610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -137 + -3033?\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 4*i - 2. Let v be (-3)\/5 - (-228)\/30. Let l(q) = 7*q**2 - 7*q - 3. Let c(f) = v*w(f) - 4*l(f). What is the derivative of c(o) wrt o?\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 9:19 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*o - 29802 - 5822 = 0. Calculate the remainder when o is divided by 54.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let y(r) = 2 - w - 2*r. Let k(g) = 0*g**2 + 0*g**2 + g**2. Determine y(k(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:33 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 5*p**2 + 5*p + 3. Let h(r) = -r**3 - 3*r**2 + 3*r + 1. Let o(u) = 10*h(u) - 6*k(u). Find the first derivative of o(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, g: 3}. Give prob of sequence ggh.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 63*r**2 - 167*r**2 - 502*r**2 - 593*r**2 - 559*r**2.\nAnswer: -1884*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6699.4ns to microseconds.\nAnswer: 6.6994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23899 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24134461335 + 24134537492.519732. Let t = -76156 + k. Let y = 1.52 - t. What is y rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4))\/d*d**(2\/9)*d**6\/d**(2\/3)*(d**(1\/4)\/d)**(9\/2)\/(((d**6\/d)\/d)\/(d*d*d**1)) assuming d is positive.\nAnswer: d**(373\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -24000 to the nearest one hundred.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.734, 104, 7, -1\/4 in increasing order.\nAnswer: -1\/4, 1.734, 7, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 506, 1013, 1520, 2027, 2534, 3041?\n\"Answer: 507*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**3\/6 - y**2\/4 + 8. Factor f(t).\nAnswer: t*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33856 divided by -368.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 10022.\nAnswer: 1\/10022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n*n**(1\/4)))\/n)\/n)\/n**0)**(-4\/13)\/(((n\/(n**(-1\/5)*n*n*n))\/n)**(2\/9))**(8\/3) assuming n is positive.\nAnswer: n**(4127\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 12}. What is prob of sequence iggg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 5*d + 22. Let g be r(-8). Let i(b) = 2*b**2 + 22*b + 6. Let f be i(-11). Is 6 a factor of 0 - (f\/g + -51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -236, -399, -564, -731, -900, -1071?\n\"Answer: -k**2 - 160*k - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = r + 83, 0 = 2*k - 4*r - 0*r - 44. Let y = k - -22. Suppose z - y = -z. What is the remainder when z is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miz when three letters picked without replacement from izzm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-417)\/2919 - (-148)\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 5661431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -210 - -384c1?\nAnswer: 382b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531 = 3*b + 15*n - 24*n, 2*b - 4*n - 368 = 0. Let l be (14 + -2)*6\/4. Calculate the greatest common divisor of b and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1399548548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28532863?\nAnswer: 3947, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 4, 0.335.\nAnswer: -0.8, 0.335, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - s + 0*s. Let c(h) = -4*h**2 + 12*h**2 - 7*h**2 - 13*h**2. Give b(c(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00919912 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-662)\/20 - 2\/5) + -1)*(-11680)\/(-17520)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5555*y**2 + 3*y + 2. Let k = -6 + 22. Suppose -5*b + k = -14. Let v be u(b). What is v rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1176505213 + -0.029.\nAnswer: -1176505213.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-101)\/(-7) + -1)*(2 + (-319)\/58)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12789.7 + -12790. Sort o, -2\/3, -104, -0.06 in increasing order.\nAnswer: -104, -2\/3, o, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -910*0.0195.\nAnswer: -17.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -21 - -20*2\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924 is divided by 130?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1306984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 693 - 694. Let d = -23 - 1. Let f be m - ((-51)\/d + -3). Put 0.5, -4\/5, 4, f in decreasing order.\nAnswer: 4, 0.5, f, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81, 148, 215, 282, 349?\n\"Answer: 67*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 9:07 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54578 (base 11) in base 14?\nAnswer: 20c27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -18 - (-44 + 82 + -47).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18701430343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 555.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 - -102. Which is the second biggest value? (a) d (b) -3\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -432611624 - 0?\nAnswer: -432611624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1786 and -9\/722.\nAnswer: 33934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) - (-32)\/10. Suppose -4*g = -k*g + 1. What are the prime factors of g\/(1\/(-8)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:50 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1\/2)*(16 + (5 - 3)). Put l, -4, 3, -5 in decreasing order.\nAnswer: l, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 2}. Give prob of sequence yy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62003400 rounded to the nearest 1000000?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u - 797 + 95 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43252252 (base 7) in base 16?\nAnswer: 385bf7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -474046?\nAnswer: -474048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*62 - (-3 + 1). Suppose 3*b + b - q = 0. Let k(p) = p**3 - 13*p**2 - 11*p + 4. Calculate the remainder when k(14) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17538736 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 762969746 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0 + 1\/60*h**5 + 3*h**2 + 0*h**4 + 0*h - 1\/6*h**3. Factor r(p).\nAnswer: (p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:45 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = 5*c - 63, -2*c - 2*g = -32. Suppose -3*t - 5*k = -175, t = -2*k + 62 - 3. What is the remainder when t is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1, -11\/13570 in ascending order.\nAnswer: -0.4, -11\/13570, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 6*l. Let x = -21 - l. Let b = -116\/7 - x. Sort b, -3, 3\/4.\nAnswer: -3, b, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207657971 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(33\/(-88)). Let k(p) be the second derivative of -p**3\/6 - p**2 - 2*p. Let c be k(q). Solve 4*h + 2*u + 20 = 0, c*u + 1 = 4*h + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39\/22 - 477\/176. Let b(o) = 929*o - 4. Let d be b(4). Let h = 74263\/20 - d. Find the common denominator of n and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - b + 6, 0 = 3*j + j - 2*b. Let w = -18 + 13. List the prime factors of 12\/(-6) - w\/j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y. Let k be f(0). Let c = 33292 + -33293.5. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 2 + 3 + 22 - 1 - 19695*h.\nAnswer: -19695*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1675*p + 1677*p - 12 = 2*t, 5*p + 96 = -13*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10316, -10368, -10420?\nAnswer: -10472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**6\/6 - 7*l**3\/3 - 5. What is the third derivative of f(j) wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 19*u - 164. Is w(24) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/14 + (-42661)\/34188 and 71\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1864 + 2411.4. Let f = z + -547. Let k = 7.01 - 0.01. What is the closest to k in -3, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 36. Suppose 76 - 428 = -4*b. Suppose -90*d + b*d = -6. Solve 4*v = 5*n - r, 13 = -3*n - v - d*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -980966 + 981396. What is the least common multiple of (8 + 1)*(-4)\/(-6) and o?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 188726\nAnswer: -1\/94363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 - 35*i + 6. Let p be y(-5). Let k be 4 - (5 + (-2)\/p*0). Sort 4, k, 6, -2 in decreasing order.\nAnswer: 6, 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.07, -0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/12 + b**3\/3 + 3*b**2\/2 + 17*b. Let c be o(2). Solve 0 = -t + c*t, 0 = g - 4*t + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10174*x**3 + 28*x**2 - 678805*x + 1.\nAnswer: -61044*x + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -245 (base 8) to base 3\nAnswer: -20010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87258 or 523541\/6?\nAnswer: 87258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0592 or -0.02607?\nAnswer: -0.02607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-106)\/36 - (-2)\/(-8)*4. Let w = j - -25\/6. Which is the closest to -0.1? (a) w (b) -1 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**6\/60 - r**5\/15 + r**4\/12 - r**2. Let h be x(2). Solve 4 = -0*n + h*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12342*u = 3*y - 12337*u + 74, 4*y + 8 = -u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 4) to base 12\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 75*c**4 - 112*c**3 - 120*c**2 + 53*c. Let n(x) = -25*x**4 + 37*x**3 + 40*x**2 - 18*x. Let a(j) = -2*f(j) - 7*n(j). Solve a(i) = 0.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13629 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-7)\/(-124)) - -1. What is the third derivative of x*y**4 - 114*y**4 + 4*y**2 + 8*y**2 wrt y?\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 1 + (653 - 688)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 233784368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -103 and -24.\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 2, b: 10, r: 1, f: 4}. What is prob of picking 2 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 13 - 25 = 0. Calculate the greatest common divisor of k and 114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 103.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, 5\/2, -5\/3.\nAnswer: -5\/3, -1, 2\/5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1473958 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-3)*1 - -21. Suppose -15*r + 34 + 41 = 0. Solve -o - r*g + 3 = 21, 0 = 5*g + l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 8:55 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*g = 15, -g = -j - 0*g - 5. Is j >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813\/4 <= 1454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 136*r - 147*r + 297*r in the form m + t*r and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7524?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s. Let i(d) = 24*d - 3. Suppose -4*b + 16 = 4*f, b = -f - 4*b. Let x(y) = f*r(y) - i(y). What is the first derivative of x(v) wrt v?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*a + 47794 = 0, 74*l - 73*l - 47774 = -a. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*f + 122 + 65 - 37. Solve g + f*i - 5 = 3, 4*g = 2*i + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (7 + -21 + 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -799*r - 118287. Give g(-148).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 7. Let q = -39926 - -39922. Let c(d) = 2*d - 7. Give q*m(p) + 5*c(p).\nAnswer: 6*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6887213 rounded to two dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(sqrt(162) + (sqrt(162) - (-4*sqrt(162) - sqrt(162))) - sqrt(162)))**2.\nAnswer: 5829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 305*h - 118257 + 118259.\nAnswer: -306*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*n + 656*n - 11928 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmfbggxy. Give prob of picking 1 b and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -51521 (base 6) in base 11?\nAnswer: -51a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4194 + 4194.147. What is i rounded to three decimal places?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*x, 5*d = -13*x + 14*x + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22578 and 30104.\nAnswer: 90312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 319927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -623107 - -0.5.\nAnswer: -623106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 546*t**2 + 5344*t + 8588. Determine i(536).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5 - -3. Suppose -4 + 28 = 6*i. Which is the nearest to 1? (a) -4\/7 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(7\/3)*g**(3\/5)*g assuming g is positive.\nAnswer: g**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 610.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/5 + 30432*d\/5 + 115763328\/5 = 0.\nAnswer: -7608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138321984?\nAnswer: 2, 3, 37, 19471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 118, -1\/2 in increasing order.\nAnswer: -2, -1, -1\/2, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16118.\nAnswer: 2, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 43. Let f = y - -8. Let s(r) = r**2 - 15. Determine s(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 6435?\nAnswer: 38610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1*(-1 + -1)*-3. Calculate the remainder when 6*3 - ((-25)\/5 - r) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193093796 divided by -6896207.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294 and 455.\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*x**3 - 25*x**3 - 3*x**3 - 3*x**2 + 10*x**3 + x**2 to n*x**2 + w + y*x**3 + v*x and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(24*t**4 - 8*t**4 + 27*t**4)*(8 - 16 - 12) to the form h*t**3 + p*t + g + m*t**2 + a*t**4 and give a.\nAnswer: -1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100 - -100100?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 299a43 - -61?\nAnswer: 299aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -95*j**3 + 28*j**2 - 310*j + 7. Let r(s) = -49*s**3 + 16*s**2 - 155*s + 4. Calculate 4*h(k) - 7*r(k).\nAnswer: -37*k**3 - 155*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*f = 4*m - 159, m - 1304*f + 2601*f = 1296*f - 12 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 35*w**6\/3 - 2*w**5\/5 + 5*w**2\/2 - 22*w - 86. Find the second derivative of p(n) wrt n.\nAnswer: 1400*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.9357 - -0.0643. Let j = -0.2 + 0.4. What is the second biggest value in 0.1, j, 0.7, n?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/217, 6, -4\/3, 138\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8982132, -8982125, -8982108, -8982075, -8982020, -8981937, -8981820, -8981663?\nAnswer: -8981460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60679591 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/3*(-48)\/(-448))\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492396555?\nAnswer: 5, 13, 389, 59023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9*3*2. Suppose 1 = -3*m - u. Let t = 4.05 - 0.05. Which is the third smallest value? (a) m (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o - 29 = -v, -o = 0. Calculate the remainder when 86 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 650 = 7*w - 2*w, w - 139 = -2*v. Let i = -67 + w. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/113 - -569\/226. Let k(s) be the first derivative of -w*s**2 + 4 - s. Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**3 - 5*q**2 + 2*q - 9. Let l(t) = -3*t**3 - 2*t**2 + t - 1. Determine -f(a) + 3*l(a).\nAnswer: -2*a**3 - a**2 + a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*g + 1994 = 2059, -3*w - 15 = 2*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 + 9\/126. What is the nearest to -0.1 in -2\/5, 23, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82.6 + 42.4. Let s = p + 35. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2037510 is divided by 953?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 88, 199, 354, 553, 796, 1083?\n\"Answer: 22*v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212024 (base 6) to base 4.\nAnswer: 10032100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/7 in 290\/21, 10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-48)\/(-2))\/4 - -2. Let i = -0.33 - -30.33. Let z = -35 + i. Put z, -2, f, 0 in decreasing order.\nAnswer: f, 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -11\/4, 1, -1\/4923, 561 in descending order.\nAnswer: 561, 1, 1\/7, -1\/4923, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0734479148 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -934632.29 to the nearest ten thousand.\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*u*z**3 + 2505*i**2*z**3 + 2531*i**2 - 11*i*u*z**3 - i*u*z**2 + i*u*z - 60*u + 968*z wrt i?\nAnswer: 4*u*z**3 + 5010*z**3 + 5062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -82562745 - -8?\nAnswer: -82562736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 130017 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 1:10 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 4070. Let d(l) = -6*l**2. Give y(d(u)).\nAnswer: -36*u**2 - 4070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n. Let l(p) be the first derivative of -11*p**6\/360 - 3*p**3 - 5*p - 159. Let g(t) be the third derivative of l(t). Give g(u(o)).\nAnswer: -1584*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58745 and 7767605.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/4 - 399*t**2 - 97263*t\/4 + 17001765\/2.\nAnswer: -3*(t - 110)*(t + 321)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - 8*i**2 + 4*i - 7. Let u be a(-6). Suppose -2*o + u + 153 = 0. Round o to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert cc61 (base 16) to base 15.\nAnswer: 10781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.295377um?\nAnswer: 0.000008295377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -3, 7, 25, 51?\n\"Answer: 4*s**2 - 10*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s**2 - 9*s + 9. Let i(f) = 5*f**2 - 4*f + 4. Let j(u) = -7*i(u) + 4*k(u). Suppose 5*h - h = 24. Let v be j(h). Is -1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49541675 and -7.\nAnswer: 49541668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c + 2. Let r be n(1). Let l(d) = d**3 + 8*d**2 - 11*d - 4. Calculate the remainder when l(r) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, -1892, -4569, -8608, -14177, -21444, -30577, -41744?\nAnswer: -55113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 78 in 2\/9, -2, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416 + 55*r + 2*r**3 - 55*r.\nAnswer: 2*r**3 + 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Suppose 3*r + 9 = 0, h*y + r - 11 = 2*y. Calculate the remainder when 39 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/63221 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-21)\/(-12))*-2. Let x = -4 - 1. Sort 0.5, x, m in descending order.\nAnswer: 0.5, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Let r = -1 + 1. Suppose -5*o + 0*o + 25 = r. Solve -s + o*s = -b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8148 = 976*z + 4540 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.998 times 604?\nAnswer: -42882.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(((sqrt(320) + -2 - sqrt(320)) + sqrt(320) - sqrt(320)) + sqrt(320))**2 - (-5 + sqrt(320)*2 + -5 + sqrt(320))**2.\nAnswer: -2008 + 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2)**2 + -3 - (sqrt(500)*1*-6 + sqrt(500))**2 - (-6*(-2 + sqrt(500)) + 2*sqrt(500)*-6).\nAnswer: -10515 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -1 - (-103 - (67 - 110 - (-29 - -4))).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/21989 (b) 2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 19 = -5*z. Suppose -o - 7 = z. Let m be (13 - 17) + 1\/(-2)*o. Solve h + m = 4*h - 2*p, 2*h = 3*p - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/14 and (0 - 8\/100)\/((-16)\/(-580)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(1 + 0)*3105\/1242\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768734?\nAnswer: 2, 3, 11, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 + 6293*q - 56556 = 0. Calculate q.\nAnswer: 9, 6284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(24)*-4*-2*3)\/(-4*(sqrt(108) - (-4*-5*sqrt(108) - sqrt(108)))).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6)*(-9)\/(-6) - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -76*x**3 + 15*x + 77*x**3 + x**2 + 7*x + 7 - 12*x**2. Let b be q(5). Let w = 130 + b. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1*(-2 - 32\/(-12)). Suppose w*j = -8*j + 200. Calculate the smallest common multiple of j and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16607455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 26. Suppose -j = v*h - 9, -4*h + j = -3*h - 6. Differentiate -4*x + 0*x - h - 6 with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898671?\nAnswer: 109, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/130315 and 101\/24?\nAnswer: 3127560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**4\/4 - 8*i**3\/3 + 9*i**2\/2 + 3*i + 316. Calculate h(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45943425 divided by 18563.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 28. Let t = -43 + 28. Calculate the smallest common multiple of t\/2*(-40)\/25 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {m: 3, n: 2, u: 1, e: 3, q: 4, r: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 637 and 910?\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727378727 to the nearest integer?\nAnswer: 26970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 + 3*o + 18. Let l be s(-7). Let b(z) = -z**3 - z**2 + z - 5. Give b(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 20881?\nAnswer: -793478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*s + 955 = 222*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0*i)**35 assuming i is positive.\nAnswer: i**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14781, 15030, 15279?\nAnswer: 15528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.0906.\nAnswer: -0.00906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 42 + 3*n - 157 + 47 + 44 + 47. Let v(c) = 3*c**2 - 5*c - 5. Let a(s) = -s**2 + s + 1. Let m(k) = 5*a(k) + v(k). Calculate m(d(o)).\nAnswer: -18*o**2 - 276*o - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (4 - 0 - (-7 - -1))) + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)\/o)**(-15) assuming o is positive.\nAnswer: o**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*z = 285, 0 = -2*r + 3*z - 0*z + 95. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 + -7)\/((-10)\/(-60)). Solve -7*c - 5*c - m = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/10 - 5040\/675.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15127277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (2\/2 - 3) + (-10)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 2\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 14895 = -7*h + 7*w, 2*h - w - 7465 = 0. Calculate the least common multiple of 467 and h.\nAnswer: 3736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:48 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -3, 36, 2, 0.\nAnswer: -3, -2, 0, 2, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 - 432*y\/5 - 176.\nAnswer: 4*(y - 110)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12) + 10\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15*w - 267. Let v be g(-18). Suppose -3*r + 20 = 2*n, -v*r + 2*r + 3*n - 8 = 0. Solve -22 = 4*o - 3*x, 0 = -2*o - 0*o + r*x - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p + 18*p - 2 - 2*p + 2 + (-5 + 5 - 4*p)*(-6 + 4 + 3) - p - 5 + 5 + (2*p - p + p)*(-2 + 0 - 6))*(2 - 2 + 2*p**3).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 6*r**2 - 3*r**2)*(-r + 2*r - 2*r) + 5*r**2 + r**3 + 2*r**3 - 10*r**2.\nAnswer: r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5701.955 + -5684. Let x = 18 - h. Let w = 0.045 - x. Which is the closest to w? (a) -2 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.0301501 - 13.03. What is f rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065758 - 5904*p + 1081058 + 4*p**2 + 31760 = 0. What is p?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, r: 2}. What is prob of sequence rr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2577 or -2.3?\nAnswer: -2577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 70 + 175. Let o = 19 + s. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 975369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(572\/(-48))*(-275)\/(-1100).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -12, -14, -16, -18, -20?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 9. Suppose -2*n = -3*n + 6. Let m(h) = -h + 10. Let p(d) = n*m(d) + 7*o(d). What is the derivative of p(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.42 + -13.99. Round i to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 11*j - 5. What is the tens digit of (39 - j)*(9 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 35 - 4624\/(-110).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 6*z**2 + 7*z**2 - 4*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let d(u) = -u + 7. Let q be d(5). Let f be x(q). Suppose -4*y - 80 = -f*y. Solve -4*g - 5*z = -0*z + 20, -5*z = 5*g + y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75596 is divided by 560?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) 5\/4 (c) -4 (d) -1 (e) -2\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -26. Suppose 4*h + 6 = -b*l, l - 5*l - 12 = 4*h. Is 964 - 1\/(0 - l\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3203 + 65*q + 3194 - 9597 + 3200.\nAnswer: 65*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 111100101000011011 (base 2) to base 8\nAnswer: 745033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 2?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643086130 to the power of 1\/2, to the nearest integer?\nAnswer: 40535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + -94. Let r = -117 - f. Solve -r = -q - 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(0 + ((3 + -1 + sqrt(108) + -3)**2 - ((-1 + (sqrt(108) - (sqrt(108)*-1 + sqrt(108) + sqrt(108) + sqrt(108))))**2 + -5))).\nAnswer: -32 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 24 = 21. Calculate the least common multiple of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -3, 131, -5, 1, 0.4, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + 37)*(-1)\/(-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m + 2 - 4 + 8*m)*(-3*m + 2*m + 3*m) to c*m**2 + a*m + o and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:59 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -43*a**2 + 1832*a + 320. Give o(43).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1943 + 1992. Solve 0 = 2*q + 2*o - 4, j = -q + 2*o + 36 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-94607)\/(-534) - (-1)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2322.6 + -2272. Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24279*0.051492.\nAnswer: -1250.174268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1188*x + 593*x + 599*x - 3 - 87*x**2 to a*x**2 + s + z*x and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = -y - v, 2*y - 2*v = 14. Suppose -2*k + 11 = y. Solve -2 = -k*x, 0*b = 3*b - x - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*d + 25, 0 = -m - 2*d - 2 - 3. What is the units digit of ((-10)\/4)\/(m\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 151485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -993832.9 - -0.26054?\nAnswer: -993832.63946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 26432 = 16*w - 19*w, a + 4*w = 5266. What is the smallest common multiple of 7406 and a?\nAnswer: 37030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 431.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9*-51 + -3. Suppose -4 = -5*p - a. Put -3, p, 8 in ascending order.\nAnswer: -3, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*l - 5*i - 13, 2524*i + 14 = 4*l + 2530*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 958 by 3.\nAnswer: 958\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 278, 624, 970, 1316, 1662?\n\"Answer: 346*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 31*q**4\/24 - 235*q**3\/6 + 173*q**2 + q. Let l be k(8). Solve 4*z + 20 = -4*t, -2*z + 3 - l = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 33*g + 44. Let p be j(-15). Let n = 7 + 19. Let o be n\/22 - (0 - -1). Which is greater: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7614 + 4898. Let w be 4\/74 - z\/(-1258). Let v(t) = t**3 - 11*t**2 + 12*t - 5. Give v(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 + 55. Let y be (-6)\/4 - v\/14. Solve 9 = -y*b, -d + 4*b = -4 - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 9*d**2 - d + 11. Let r be c(9). Suppose -3*m - 7 = -k, -2*k - m - r*m = 4. Put k, 5, -6 in descending order.\nAnswer: 5, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(119) + sqrt(119))\/(sqrt(7) + sqrt(252) + sqrt(252)*1 + sqrt(252) - sqrt(7)).\nAnswer: 5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -0.8?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1476*y + 21 wrt y?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 19 = 5*j - 4, -q = 0. Let t be (j + 1)\/((-4)\/6). Solve -t*w = -3*h - 3, -5*h = -3*h - 3*w + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17030416 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 12:46 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*l - 73 = -169*l - 2*o, 4*l - 4*o = -68 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.557 - 5.5. Round j to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.1592 millilitres in litres?\nAnswer: 0.6291592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 6. Let b be k(-10). Suppose -74 - 11 = -5*x. Let j = b + x. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11120022 (base 3) to base 16\nAnswer: d01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((3\/3)\/1)\/((-5)\/(-55)). Suppose 0*d + 5*d - 5 = 0. Sort -2, f, d.\nAnswer: -2, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*x + 17, 3*g = 2*g - 5*x - 13. Let v = 66 - 34. Solve 5*h = -4*r - v, 4*r = 2*h + g*h + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Suppose 0 = -a*y + 1620067 + 5299933. Round y to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = -3*x - 3*y, 3*x + 4*y = 15. Suppose j + 1984 = x*j. What is the highest common factor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbtgftbtbbtgggf. What is prob of picking 1 f and 3 t?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1453*v**2 + 4344*v**2 - 14 - 1450*v**2 + 14 - 1435*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -58*d + 47*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*r + 922*r - 76860 = 0 for r.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -9 - 5\/(-3). Let o = 28 - 111\/4. Let a be (2\/12)\/((45\/10)\/(-3)). What is the closest to o in -2, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*w + 17, -4*w + 4*d = 2*d - 46. Solve 2*b = 3*n + 11, 5*b - w = -n + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, w: 1, v: 1, t: 1, l: 2, m: 1}. Give prob of picking 1 w, 1 h, 1 v, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 4, x: 4, t: 2, o: 6, c: 2}. What is prob of sequence txtx?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -14, 102397, -5, -1 in increasing order.\nAnswer: -14, -5, -2, -1, 4, 102397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 2*w**2 + 31*w - 77. Give q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 67*h**2 + 366*h + 444. Let g be i(-72). Suppose -m + 5 = 1. Solve 0*f = -m*l - 2*f + g, 2*f = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 313*n - 37556. Calculate v(120).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - 54. Let w(y) = -y + 18. Let j be w(-7). Suppose 5 + j = 3*x. What is the remainder when z is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11a6b + 6?\nAnswer: 11a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0) + 2*(-58)\/120. Let g(y) be the third derivative of y**2 + t*y**5 + 0 + 0*y + 1\/3*y**4 + 4\/3*y**3. Solve g(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9 = -7*k, 0 = 5*q + 5*k - 280. Suppose q = m - 6. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:44 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -6*y + 12. Let c = -46 + 46. Suppose -h + 9 + 2 = c. Solve -h = 4*n + y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1928*g - 31590 = 1231*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103588 - 80.\nAnswer: -103668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*x - 7*x**3 - 31*x + 4*x**2 + 8*x + 1 in the form z*x**2 + d*x**3 + t + q*x and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 take away 55?\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 3 + 3)*(0 - 2 + 11)*(-4*i**3 + i - i) as q*i**4 + s*i**2 + p*i**3 + z*i + w and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14630 = 1206*m - 1149 - 66229 for m.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3820, 3889, 4080, 4453, 5068, 5985?\nAnswer: 7264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 2966440484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 9*y + 12. Let t be k(-8). Let n = 47 + -22. Suppose w + o = 9, 0 = 3*w - 5*o + 21 - 8. Solve 6*p - 18 = t*p - w*f, 3*p = -5*f + n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 109. What is the remainder when 15 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/202 + 411\/1414. Let m = 1674 - 1678. Which is the closest to 1\/3? (a) p (b) m (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/5*225\/(-3). Let r be p + ((-1)\/(-1) - -1). Calculate the highest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.21 to one dp.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -47?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45*554.8.\nAnswer: 24966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 147945*z - 2. Let u(p) = 4*p. What is u(y(d))?\nAnswer: 12*d**2 + 591780*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u**3 + u**2 - u + 1. Let n(v) = -v**2 + v - 1. Let i be (-9)\/12*128\/(-96). Determine i*j(q) + n(q).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -o - 22, -3*o - 3*t + 5*t = 62. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1481.675 - -1472. What is f rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i = 4*m + 23 + 55, -3*m = -5*i + 53 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 682 + -461. Calculate the remainder when i is divided by 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 24*g**2 + 3*g + 87. Calculate the least common multiple of 9 and a(-24).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -6*m - 5*m + 74 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2 - g + 354*g**4 + 53 + g**2 + 0*g**2 wrt g?\nAnswer: 1416*g**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 22 = 3*p + 33, -5*p + 2*w = -3. Let d(f) = -2 - 1 + 4 - 6*f. Calculate d(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8299 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**3 + 2*i**2 - 5*i - 1. What is n(-2)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1722, 1748, 1756, 1752, 1742?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 78 + 942. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 633 + -296. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110.15 + 108. What is s rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7244 = -2*a + 5*h + 2935, -5091 = -a + 2*h. List the prime factors of a.\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 27 = -5*z + 16, 2*a = z - 10. Let d be -294*(-3 - z\/(-3)). Let k = -77 + d. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 76246558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/5 - 303277*f**3\/5 + 181968*f**2 = 0.\nAnswer: -303280, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 19*j**2 - 63*j - 65. Let q be m(22). Let w(x) = -x**2. Let d(n) = 7*n - 4. Let h(i) = -d(i) + w(i). Let p be h(-7). Solve p + q = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*u**3 + 214*u**3 - 114*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 78?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 7449?\nAnswer: -7446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by (-2)\/5*(-300)\/(-40) + 1 + 142?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/8 - 773*y\/8 - 2337\/4.\nAnswer: (y - 779)*(y + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 485 + -473. Suppose 0 = g + 4*g - 25. List the prime factors of (-3)\/((-1)\/f*4\/g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42297 is divided by 41861?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434156 and 843184.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m**3 + m**2 + 2*m + 1. Let c be a(-1). Let j = 21 + -25. What is the second smallest value in 3, c, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45b431 (base 15) to base 16\nAnswer: -32cab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -753*q + 16. Let m(a) = -757*a + 18. What is 8*g(l) - 7*m(l)?\nAnswer: -725*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42 + 7*l**3 - 42)*((l - 3*l + 3*l)*(0 - 4 + 2) + 3*l + 6*l - 5*l) to the form v + g*l + d*l**4 + a*l**2 + c*l**3 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 = -17, 4*d - 3*w - 1 = 0. Suppose -d*c - 20 = c, 3*c = -4*i + 40. Calculate the highest common factor of i and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.915 + -2.715. What is the closest to s in 4, -3\/13, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(612) + sqrt(612) + 0) + -2 + sqrt(612) + 0)**2*-3 + 2)*3.\nAnswer: -137730 + 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-100)\/312 + (-10)\/(-65))*-6. Which is the closest to i? (a) -0.3 (b) -2\/11 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19039 + 19039. Factor 1\/6*s**2 - 2\/3 + n*s.\nAnswer: (s - 2)*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4)*j*j**20\/j*j*(j**(2\/11)\/j)**(-23))**(-3\/25) assuming j is positive.\nAnswer: j**(-1071\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17943 is divided by 406.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 90 = 75. Let h be (3*-1 + 0)*5. Let d be (-5)\/((z\/h)\/((-1)\/3)). Solve -2*n = 5*x + 1, 3*x + 4*n + 5 = d*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -429, -1686, -4203, -8400, -14697?\n\"Answer: -70*r**3 + 73*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 + 761\/7. What is the nearest to 2\/9 in 1, b, -0.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.069*3626053\nAnswer: -250197.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306 and 12.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/5754 and -33\/227009.\nAnswer: 9534378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52840113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 109517760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((1 - 8) + 6) - (12 - (29 + -54)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 352402, -0.4, 0.49, 0.5 in descending order.\nAnswer: 352402, 0.5, 0.49, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*v + 52 = 0, 62 = -2*a - 2*v + 36 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*i + 32 = 6*i, -5*v = -2*i - 80. Suppose -19*q + v = -15*q. What is the hundreds digit of (27\/q - 0)*240\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 5*x + 6*x + 6*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -45.5. Let z = w + -12. What is the smallest value in 1\/9, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*g = 83*g - 531830. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46708 and 872.\nAnswer: 10182344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(3\/9 - (-70)\/(-126)). Let p(m) = -26*m - 9. Let s(x) = -51*x + 8 - 11 - 16. Let n(r) = o*p(r) + 4*s(r). Differentiate n(a) wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w. Let g be (-36)\/10 + (-6)\/(-10). Let b = g - -5. Let f(l) = 3 - 3 - l + b*l. Determine f(y(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + 65 + -70?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21\/2, -1030\/3, 1\/2.\nAnswer: -1030\/3, -21\/2, -3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38\/193 + 111\/1544. Put w, 0.02, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, w, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - ((12 - 1) + (-104 - -105))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 8:55 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018691.\nAnswer: 599, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, i: 3, m: 3, c: 10}. Give prob of sequence bbb.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3820 or -3824?\nAnswer: -3820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273993185?\nAnswer: 5, 17, 2689, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.75*-0.4.\nAnswer: -19.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 2*d**3 - 24967*d - 19 + 0*d**3 + 25050*d to the form y*d**2 + g + n*d**3 + u*d and give g.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 34. Let l = 2900 - 2906. Give u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x**2. Let j be i(-1). Let m be 2\/(-10) - j\/(-25). What is the fourth biggest value in m, -5, 0.5, -0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/162 and 151\/372.\nAnswer: 10044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*6264859\nAnswer: -18794577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 + 2*b**2 + 8*b - 5. Let l = -3 - -7. Is y(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.9431 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m)\/(m\/m**(2\/25)))\/(m\/m**(-2)*m**(1\/5)\/m*m*m)*(m**(-2\/9)*m*m*m*m**(-1\/2)\/m)\/(m**(-1\/15)*m**(2\/9)\/m) assuming m is positive.\nAnswer: m**(-2249\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 d when three letters picked without replacement from ddii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 9. Let s = -6 - c. Solve -q - 2 = -s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + o**2 - 2*o**2)*((0 + 4 - 3)*(2 - 2 + 1) - 3 + 4 + 3) - o**2 + o**2 - 3*o**2.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1838143140 to the nearest one million.\nAnswer: 1838000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -362740 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3 - 85478*c**2 - 4357047*c - 23065290 = 0. What is c?\nAnswer: -85427, -45, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 14*c**2 - c - 7. Let w(d) = d**3 + d**2 + d - 1. Let p(i) = -w(i) - x(i). What is the smallest common multiple of p(15) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/336 and 131\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76460624 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from ggguguugugg?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -820819*c**3 + 262274*c**2 wrt c.\nAnswer: -4924914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5141.8 minus -790951858?\nAnswer: 790956999.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/((-31124030)\/23976) - 4\/(-70)?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + r = -103, -3*r - 54 = -3*q - 5*r. Suppose 4392 = -4*b - 4*b + 26*b. Calculate the least common multiple of q and b.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u\/u**(-1\/3))*((u*u*u**(2\/11)\/u)\/u)\/u*u**(-3\/2)\/(u*u\/u**(-3\/2))*(u**(-6)\/u**(-3\/7))\/(u**2\/(u\/(u\/(u*u**(-2)\/u)))) assuming u is positive.\nAnswer: u**(-3401\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 32 = -4*s - 80, -18*b + 96 + 44 = -5*b + 3*s for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48822 is divided by 6968.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24933 to 3 decimal places.\nAnswer: 0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -3 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -794 - -790. Let x(t) = t - 2*t + 0*t. Let c(u) be the second derivative of -u**3\/6 - u**2\/2 - u. Determine j*x(b) + 2*c(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**2 - 4*n - 5. Let f be c(-1). Let z(d) = 3*d**2 - 8*d - 5. Let b be z(6). What is the highest common divisor of b and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -q - 54. Let x(h) = -6*h**2 - 11*h + 11. Let i(p) = -p**2 - 2*p + 2. What is q*i(a) + 6*x(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000108542822 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/42 - -86212*4\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 630, 9559 in decreasing order.\nAnswer: 9559, 630, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -721104866*p - 815582721 wrt p.\nAnswer: -721104866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 17, 5, -7, -19?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vov when three letters picked without replacement from {v: 6, o: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 18*y**2 + 16*y - 12. Let g be v(-17). Suppose 7*u - 2*a = 2*u - 94, a = -g*u - 88. Let d = u - -55. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 4:52 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -18. Solve -h - 5*g - 11 = 0, 11 = -5*h - m*g + g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 33*f = 168 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**(-1\/50)*(y**(2\/7)*y)**(-50))**(-11\/4) assuming y is positive.\nAnswer: y**(742577\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 21*u - 25329. Let w(d) = -15*d. Calculate y(w(c)).\nAnswer: -675*c**2 - 315*c - 25329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/522 and -149\/2958?\nAnswer: 8874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 398*o**2 + 11999*o - 398. Give g(37).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -47\/2. Let n = 6.4 - 6. Which is the closest to g? (a) n (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - -8) - (-19 - -22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 344*c + 9*c**2 - 367*c - 27 + 10*c**2 - 9*c**3. Let x be (-18)\/1 - (4 + -3). Let a be m(x). Round a to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 619 and -44164.081.\nAnswer: -43545.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 98839693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 579 + -284. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 4:37 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2932 and 12?\nAnswer: 8796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/4 - 18021*m\/2 + 36038 = 0 for m.\nAnswer: 4, 36038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5693038 is divided by 114.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -41. Suppose -4*z = 2*k - 7*k - 51, 3*z - 40 = 2*k. Let v = z + u. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.46 and -9999.\nAnswer: -9999.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d - 5 = -r, -5*d - 1 = 2*r. Suppose -r*m + 2500 = 2*y, -2*m - y - 2491 = -4*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*f + 36, 3*f - 4*y - 6 = 2. Let d = f + 14. Solve -d = -2*g + z, -4*g = 3*z - 0*z - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7932650\/7 equal to -1133236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-442)\/374 + 2\/11)*-6139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -29*j + 263. Let t be d(9). Let b be 19000*(610 + (-2 + t)\/(-6)). What is b rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1555 - -2?\nAnswer: -1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3 - 2\/3*k**4 - 2\/5*k**5 + 4*k**2 + 0 - 10*k. Let f(z) = -7*z**3 - 7*z**2 + 5*z + 7. Give 6*f(o) - 5*m(o).\nAnswer: -2*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = 4*s - 3*s, -5*p = -5*s - 20. Let w(n) = n**3 - n**2 + 3*n - 3. What is w(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 5*s - 6. What is p(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.037904g to kilograms.\nAnswer: 0.000037904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -893, -2115, -4151, -7001, -10665?\n\"Answer: -407*n**2 - n - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:03 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2659*p**3 - 11*p**2 + 16*p + 67. Is 11 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/92? (a) -0.4 (b) 0.035 (c) 0.04 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104102*d - 4 - 5 - 52046*d - 52062*d.\nAnswer: -6*d - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 101393897?\nAnswer: 10139389a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a decade in years?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, 2, -5.9, 101, 3\/4 in increasing order.\nAnswer: -5.9, -1, -0.2, 3\/4, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5090.2328 to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9609799.\nAnswer: 9609799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137358 divided by -369.\nAnswer: -15262\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from ldrdr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5129 - -12930. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1\/9 - ((-7511)\/(-126))\/29.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*b + 6, 0 = 4*b + o - 12 + 4. Suppose b*r = 223 - 103. Calculate the smallest common multiple of r and 27.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3 + 1007*s**2 = 0. Calculate s.\nAnswer: -1007, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, q: 6}. What is prob of picking 1 q and 2 b?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.7 + -50. Let s be (-3)\/(-36)*16\/(-6). Which is the smallest value? (a) s (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/1*-2 - 0. Let i = -762 - -766. Calculate the highest common factor of i and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 3. Let n(q) = -6*q + 6. Give -6*n(y) + 11*v(y).\nAnswer: 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a0 - -c0b?\nAnswer: b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(sqrt(171) + 6*-3*sqrt(171) - sqrt(171))\/(sqrt(324)*5).\nAnswer: 36*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**4\/12 + 13*g**3\/3 - 27*g**2\/2 + 13*g + 6. Let j be s(-24). Which is smaller: j or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1232537\/75 - 16433. What is the common denominator of d and 68\/(-9)*18\/60?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 10. Let y be x(4). Suppose i = 3*u + 68, -2*u - y = 2. Calculate the greatest common factor of 168 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2.4 (c) 0 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3993 + 3992.7. Put -1, i, 58, -2\/7 in descending order.\nAnswer: 58, -2\/7, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -14*u**2 - 1. Let a be j(-1). Let y = 17 + a. Solve 4 = -2*w + y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*h - 3 = 0, -5*y + 3*h = 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -8\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**3 + z**2 + z + 4. Let o be a(-2). Let w = 83 - o. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/((-54)\/16286) - 36\/(-162)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2953*g**2 - 5897*g**2 + 2952*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/402, -1, -5 in decreasing order.\nAnswer: 7\/402, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 230, 206, 182?\n\"Answer: -24*j + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**3 - 14*i**2 + 12*i + 80. Let b(a) = -a**2 + a + 1. Let c(h) = -3*b(h) + g(h). Is c(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*(sqrt(133) - -2*sqrt(133)) - (sqrt(133) - 6*(2*sqrt(133) - sqrt(133)))))\/(-5*(sqrt(7) + (sqrt(7) - sqrt(784)\/sqrt(7)))*-5).\nAnswer: 51*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 8*q - 174 = 26*u, 17*q - 18*q = 5*u + 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8390263, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549366 is divided by 274288?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 3 + (-4)\/(-2 + 0). Let c = 29 + -21. Suppose -4*q - c = k*z, -2 - 6 = -z + q. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**3 - 281*n**2 - 165*n + 1218. What is i(-46)?\nAnswer: -1772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(1395\/10)\/(-9). Let o(c) = -c**3 + 7*c + a*c**2 + 4 - 3*c - 27*c**2. Suppose -2*h - h + 15 = 0. Calculate o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(5\/4)*r\/r**(2\/13))**3*(r**(3\/8)*(r\/((r\/r**(-3))\/r))\/r)\/((r**(1\/5)\/r)\/(r**(-1\/7)\/r)) assuming r is positive.\nAnswer: r**(23007\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v - 10 = 0. Let q = 3 + v. List the prime factors of 3*q\/3*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1.58\nAnswer: 0.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6773, 6779, 6787, 6797, 6809, 6823, 6839?\nAnswer: 6857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2423, 2530, 2649, 2780?\n\"Answer: 6*s**2 + 89*s + 2328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 10*m**2 - 914*m + 797. Calculate j(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4\/3, 20.406, 25, 36, -5?\nAnswer: 20.406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5840568 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 8. Let c(t) = t + 2. Let a be c(-4). What is the remainder when a\/(-4) + (-616)\/(-16) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/19)*b**29 assuming b is positive.\nAnswer: b**(553\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001010011000110101 - 100?\nAnswer: -1001010011000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/27))**(1\/34)*(b\/b**(-5))**(-2\/5) assuming b is positive.\nAnswer: b**(-5513\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.3, -1215\/4, 2837?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51484641 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 104240 = v, -5*p = -136*v + 131*v - 130285. Calculate the remainder when p is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, v: 2, j: 3, n: 1, g: 4, h: 3}. What is prob of sequence yjy?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-102)\/18 - -5 - (-2)\/3. Suppose o = -3*k - 2*k + 25. Suppose 5*j - x - 87 = 0, j - 2*x - 15 = -x. Calculate the remainder when j is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**2 - 2*z. Let m(y) = 44*y**2 - 11*y. Give 2*m(a) - 11*r(a).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1152\/2112)\/(1\/22)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -247. Is c greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 13*f + 4. Let k be b(-5). Find the first derivative of 14 - 38 + d + k*d - 6*d wrt d.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -22 (b) -57 (c) -27 (d) -0.4 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + ((sqrt(100)\/sqrt(4))\/sqrt(5))**2 - (sqrt(5) + sqrt(5) + sqrt(45) + 3).\nAnswer: -4*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1176*v = 1181*v + 35, 2*n = 3*v + 21. Which is the nearest to n? (a) 2\/17 (b) -10 (c) -2\/5 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d + 336*d - 331*d.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 3*k**3 + k**3)*(-28*k**2 - 15*k**2 + 8*k**2) + (0*k - k**3 + 0*k)*(2*k**2 - k**2 + 2*k**2).\nAnswer: -38*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6 - 33\/((-6930)\/875)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6940*a + 13961. Calculate q(2).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -133290*j + 1732889. Calculate y(13).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 5*v - 1. Let x be j(-6). Suppose 0*g = -x*g - 40. Let b(y) be the third derivative of y**4\/12 + 5*y**3\/3 + 237*y**2. What is b(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.4421ml to litres.\nAnswer: 0.4904421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -18*h + 98. Let d be ((-21)\/(-490))\/(h\/(-10)). Let i = d + -69\/28. Which is the second smallest value? (a) 13 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1040177 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1735*y + 112712. Calculate z(-65).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.3. Let c = 2.162 - 0.162. What is the third smallest value in q, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b*h*o + 377*b*o**2 + 2*b*o + 37*b + 2117*h*o**2 - 2*h - 133*o wrt o.\nAnswer: 754*b + 4234*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31777224 = -4*r + 12*r. Suppose -2*b + r - 11572153 = 0. Round b to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*v - 405 - 883 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3270 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toftftoctoofosff. What is prob of sequence osff?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.8116794 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = u - 5*o, u - 2 - 1 = -o. Suppose -6*q + 672 = u*q. Calculate the remainder when q is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -28. Let v be (1 - m) + 16\/8. Suppose -v*i + 22 = -4*i. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10727 (base 9) in base 4?\nAnswer: -1233301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - o = 37 + 40, -u + 34 = -2*o. Calculate the greatest common factor of u and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 978 and 11573?\nAnswer: 69438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460118 is divided by 153372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 212098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012110 (base 4) to base 11.\nAnswer: 14766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16020.15219 nanoseconds in weeks?\nAnswer: 0.000000000026488346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147)*-2*-6 - sqrt(300)*-1*6.\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 55. Let b(l) = -2*l + 56. Let v(d) = -6*b(d) - 5*c(d). Let n be v(9). Solve 5*o + n = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15103420.\nAnswer: 2, 5, 755171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 25*d**2 + 194*d + 53. What is l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtiiiimtimt. What is prob of picking 2 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 1811*i + 23712.\nAnswer: -(i - 1824)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 520? (a) 112 (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 14*i**2 - 83*i - 702. What is k(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 16.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(0 + -1 + sqrt(300)) + -1)**2.\nAnswer: -40*sqrt(3) + 1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1080\/(-2835))\/((-2)\/(-156)*-4)*42\/(-20)\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d5 + 13?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4 - 2. Solve x*h - 9 = 3*z, 0*z + 21 = -5*z - h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -59.4546.\nAnswer: -118.9092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2 + 2 + 4 - 10. Suppose -2*r = -4*r + d + 10, 0 = 4*d. Let c(l) = -5*l - 5. Let t(g) = g. Let y(a) = c(a) + 4*t(a). Give r*f(j) - 2*y(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 6*u**2 - 3*u - 7. Let h be p(-5). What are the prime factors of 2*h*(-3)\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723881163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -485. Suppose 17*t - 20*t = -v. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135965 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -486, -618, -838, -1146, -1542, -2026, -2598?\n\"Answer: -44*y**2 - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/((-64)\/1024)*(-8)\/6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7810 is divided by 2534?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28 - -0.08. Let w = 18.97 + -17.97. Which is the nearest to w? (a) -1.9 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2034 - 3019. Let o = -607 - j. Calculate the greatest common divisor of o and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/(-44)*1)\/(22\/(-220))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 12 - 259*f**2 + 383*f**2.\nAnswer: 124*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17232 = 593*t + 169*t - 10739 - 26131 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -327.0687064 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 1, z: 10, j: 1, b: 1}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4\/12 + g**3\/2 - 2*g**2 + 2*g. Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 1379*x**4\/12 + 8907*x. Let p(o) = 5*o. Determine p(i(z)).\nAnswer: 6895*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 107576?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*c - 570. Is c a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3106 (b) 24\/37 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 147 = -732. Let g = -61 - x. Calculate the remainder when -12*((-22)\/g + 3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0726*-0.66.\nAnswer: 0.047916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1072899 + 13115\nAnswer: 1086014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -146. Suppose 5*u = 3*u - 8. Put 0, u, q in increasing order.\nAnswer: u, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**3 - 765*w**2 - 767*w - 381. What is t(154)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/12, 17, -0.33, -20, -0.17?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*f + 9 = -4*k, -5*f - 9 = -k. What is the lowest common multiple of k and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-174)\/4)\/((-19)\/38). Let o = -83 + h. Let s be (-4)\/(2*1\/(-3)). Calculate the highest common divisor of o and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*l**2 + 104*l**2 - 434*l**2 - 231*l**2 in the form s + d*l + c*l**2 and give c.\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1025*a + 498. Let y be c(0). What is the highest common factor of 10126 and y?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from jtggjbjjtejj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 0.3 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let x = n - 8. Let d = x + 13.2. What is the nearest to 1 in -0.1, d, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111574 (base 8) to base 9.\nAnswer: -56711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/5)*i\/i**(4\/3)*i**(-2\/7)*i**(-5)*((((i\/(i**6*i))\/i)\/i*i)\/((i\/(i\/i**(-2)))\/i*i))\/((i*i*i\/(i\/i**(-2\/5))*i)\/i)**10 assuming i is positive.\nAnswer: i**(-2837\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyvypvppyypvyppvp. Give prob of sequence pv.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9156466 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 4*s - 8*s - 71, -s = 194*m - 199*m - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 4*r + 2. Let q be p(4). Let z(j) = j + 4 - 3*j - 3*j + j**q. Is 10 a factor of z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2257\/46 less than 456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {g: 17, n: 2}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (1*-2 - -10). Let y = f + -6. Let w(m) = m**3 + 4*m**2 - 25*m - 4. Let k be w(-7). Solve -3*r - y*a + k = 0, -2*a + 7 = 2*r - 3*a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3)\/9 + (-75)\/(-9) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-6))\/(-3 + 356\/120). Determine p so that 133*p**2 + 506*p**2 + 5*p**5 + 223*p**2 + 58*p**2 + g*p**4 + 560*p + 179*p**3 + 256*p**3 = 0.\nAnswer: -7, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 4 = 8*f. Let h be (-10)\/(-20) + 3143\/f. Let m = -502 - h. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 - 1 = 3*o, -v - 5*o + 39 = 0. Is v != 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = f - 10*f - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2524 - -0.2476. Suppose 5*z + 32 = -4*y, -y + 7 = -2*y - z. Let a = -2 - y. What is the third smallest value in c, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**8*l))**(-43) assuming l is positive.\nAnswer: l**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t = -7*t - 30. Let h be (t - (-5)\/3)*105\/70. Solve 0 = -f + h - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(1377) + (sqrt(1377)*-1)**2 + 1.\nAnswer: 9*sqrt(17) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) - (4*sqrt(85)*1 - sqrt(85))))\/((2*sqrt(55))\/sqrt(11)))**2*-2.\nAnswer: -153\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5) + 3 + sqrt(5)*3).\nAnswer: -4*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) 5 (c) -221 (d) -1\/8 (e) 1\/6 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/28*(-42)\/(-4). Let u(d) = -j*d + 4*d + 6*d**2 + d - 5*d**2. Let x be u(13). Solve -2*s + 4*s + 8 = x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-9 - 1 - 0). Let w be (4 - 0) + -2 + 2. Suppose j = 4*z - w. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 125191, 501081, 1127571, 2004667, 3132375, 4510701, 6139651?\n\"Answer: v**3 + 125294*v**2 + v - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51576)\/(-80))\/7 - 349\/3490?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 719642085 and 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.502*-78.\nAnswer: -39.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -3 - 3 - -21. Suppose p*i = 19*i + 12778. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105.59 + -142.622. What is i rounded to 0 dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 700915494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 9:53 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5708.79 - -5814. Let i = l + -105. Let h = i - 0.209. Round h to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/45 in -2, -0.5, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4623 - 4620. Let y(l) = 2*l - 13. Calculate y(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (65 + 2 + -4)) + -8 + 4 + 7?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 = -17*h + 278 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*l**3 - 851*l - 567*l**2 - 186 + 60*l**3 - l**4 - 416*l**3 - 2*l**4 + 290*l = 0.\nAnswer: -62, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.2. Suppose 2*g + 11 = -h, 20*h - 30 = 25*h + 5*g. Let j = 0.1 + -0.2. Which is the third biggest value? (a) j (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 14*p**2 + 52*p - 22. Calculate j(-17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 24*w = 8748. Let n = 1528 + w. List the prime factors of n.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 1. Suppose -2*a + 4 = -0*a. What is j(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 1) + (10 - -610). Let g = 1485 + m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 4*k - 1856. Suppose -7*d = -3*d - k. Let p = 257 - 218. What is the remainder when d is divided by p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6185 take away -0.0391?\nAnswer: -6184.9609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x = 57*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 18126780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a factor of 10286597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**4 - 7*w**3 - w - 14. What is the third derivative of x(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 24 = u. Let a be (-3*16\/u)\/2. Suppose 501 = a*o - 5*t, 10*o + 4*t = 5*o + 616. Is o a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1252021991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.9 + 16. Let u(a) = -6*a - 53. Let g(x) = 2*x + 18. Let m(i) = 8*g(i) + 3*u(i). Let y be m(-7). What is the third smallest value in y, 0.4, -18, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/35 and 50\/371?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*f = 60 + 96, 0 = -3*d + 5*f - 250. Let k = d + 193. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1\/4, 921 in decreasing order.\nAnswer: 921, -1\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*x = -90, x + 2 = -0*x. Let g be 6\/45*q\/16. Let n = -2.06 - -0.06. Which is the second smallest value? (a) g (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from gihfih.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 122937 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/30 and 43\/1893?\nAnswer: 18930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 3*z - 5. Let y be h(-4). Let u be 0 + (y - 3)\/(-2). Suppose -3*g - u*g = -10. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eckmkceeukeeeke. Give prob of picking 1 e, 1 k, and 1 m.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.2. Let u = 559\/17 + -33. Which is the smallest value? (a) u (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - -11. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2 - b - 1. Let q be n(-3). Let y = -25 + 24. What is the nearest to q in -0.5, -4, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.53221168 rounded to four decimal places?\nAnswer: -3.5322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-752)\/1120)\/((-18)\/21) and 9 - (-430)\/(-50) - 74\/(-100).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7887817, -31551239, -70990277, -126204931?\n\"Answer: -7887808*q**2 + 2*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woyoywodykwoowood. Give prob of picking 1 d and 1 w.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.547 + 0.247. Is 0.04 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 1.04. Which is the nearest to y? (a) 1 (b) -3\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11573294, -11573279, -11573246, -11573189, -11573102, -11572979, -11572814, -11572601?\nAnswer: -11572334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 15*r + 1. Let n be l(15). Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-110)*76201 - -2*1. Let f = 10398 - k. Find the common denominator of (-4)\/(-26) + 97170\/(-14924) and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*p - 12, 2*s - 1 + 14 = 3*p. Let m be p - (1 + 2\/(-1)). Suppose -5*b + 2 = -q - q, -m*q + 3*b = -2. Solve 0 = -q*h + 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Let x(d) = -d + 4. Let p be x(0). Suppose -p*y + 88 = -2*y. Calculate the highest common factor of y and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/((-16)\/12). Let p = 26 + -26.5. Is r at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -514767916*g**2 - 439353503.\nAnswer: -1029535832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 897?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.014 in -1\/3, 1, -2\/9, 1021?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -21*m**2 - 1891*m - 3. Give v(-90).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -341, 3, -4, 21 in decreasing order.\nAnswer: 21, 3, -4, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-15 + -1) - 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stttttttttttttt. Give prob of sequence tts.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - g**3 + g)*(1 + 0 - 2)*(-178*g + 269*g + 235*g) - 3*g**4 + 1 - 1 to the form l*g + f*g**4 + u*g**3 + t*g**2 + y and give f.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5640000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:36 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1.6. Let r = -1.4 + o. Let k = 253\/4 + -63. Which is greater: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 14, 27, 60, 119, 210, 339?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 468*l**2 + 1425*l - 954.\nAnswer: -3*(l - 2)*(l - 1)*(l + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 25 (b) -1 (c) 2 (d) 6.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.921641ms to microseconds.\nAnswer: 4921.641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3912584 and 1224?\nAnswer: 35213256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -295*p - 2356. Let l be w(-8). Solve -3*y + 14 = -4*a - 0*a, -a + y - l = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*g = -12 + 4, -2*g - 12 = -4*h. Suppose h = 2*w - 0*w. List the prime factors of (-6)\/(-6)*w*15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0393 + -0.0607. Which is the fourth smallest value? (a) -0.3 (b) -2 (c) -0.06 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1\/3)\/((-3)\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 0.9. Let s be (-132)\/110 + (-6)\/15 + 2. What is the closest to 0 in o, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9051?\nAnswer: 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/136)\/((-1)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1367418 by 1367418.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 2, -37, -98, -187, -310, -473, -682?\n\"Answer: -o**3 - 2*o**2 - 10*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*w**2 + 484*w**2 - w - 2362*w**3 + w.\nAnswer: -2362*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476890223 is divided by 175.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from jjgbjgaaagjglaaoooo.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 5448*x**4 + 1860468*x**3 - 3682880*x**2 - 5548800*x = 0.\nAnswer: -1, 0, 3, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 4\/11*q**2 + 5\/22*q**4 + 1\/165*q**6 + 7\/110*q**5 + 0 + 13\/33*q**3 + 35*q. Factor a(p).\nAnswer: 2*(p + 1)**3*(p + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 32*w**2 + 8. Let v be 27\/6 + -4 - 248\/(-16). Determine l(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6)*-3 - sqrt(6) - sqrt(6)) + (0 + sqrt(162))**2 - (sqrt(242) + sqrt(242) + -1 + 2)**2*6.\nAnswer: -5652 - 1321*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2 = 2*a, -3*z = -a + 21 - 4. Find the second derivative of 7*c**a + 13*c + 4*c**5 - 51*c - 3*c**4 + c**4 wrt c.\nAnswer: 220*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3 + 0*h**3 + 9*h**3 - 10*h**3 - 3*h**2 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*l = 64700 + 34852. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.6. Let y = p - 0.2. Let u = 230 + -1607\/7. Which is the smallest value? (a) u (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -763 + 2301 - 774 - 764 + 4*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1896 - -896. What is h rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/6 + 332*a**2 + 1994*a\/3.\nAnswer: -a*(a - 1994)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41\/2 of a kilogram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 5. Let n be d(4). Let h = 6 + n. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (87 + -49)\/(2\/(-9760)). What is w rounded to the nearest one thousand?\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 147\/28 - 6\/(-8). Let d(i) = -i + 6. Give d(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -966 and 3?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1652, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 + 2 = 0. Let d(r) = r**3 + 31*r**2 - 32*r + 9. Let h(v) = -8*v**2 + 8*v - 2. Let b(a) = t*d(a) - 9*h(a). Factor b(c).\nAnswer: -2*c*(c - 4)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anxq when four letters picked without replacement from {p: 1, q: 5, n: 1, a: 1, x: 4}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79363 - 53417. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9349 (base 13) in base 3?\nAnswer: 1000220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 34*g - 5 + 28*g - 23*g to n*g + a and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-2)\/16). Suppose 40 = 13*o - 5*o. Sort o, h, -1 in decreasing order.\nAnswer: o, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7321, 7295, 7269, 7243?\n\"Answer: -26*y + 7347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6 + 7*s**5 + 6 + 5*s - 4*s**5 wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190)*3 + sqrt(190) + sqrt(190) + sqrt(190))*5)\/sqrt(10).\nAnswer: 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0\/230)\/((-6)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*315\/(-4480)*2\/(-12)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 49152423.\nAnswer: -4\/49152423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*s**5 + 5*s - 49*s**5 - 6*s + s**5 + 2*s**5 + 0*s**5 + (-2*s**2 + 2*s**2 - 2*s**2)*(-2*s**3 + 4*s**3 - s**3).\nAnswer: -35*s**5 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178\/191 + -229455\/246008. Is 1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-6) + 2\/(-6). Suppose -3*i = -2*c - 16, a*i + 2*c + c = 14. Solve -i*v + 2 = 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-12)*-3*-2. Let a be 4\/22 + (-64)\/c. Calculate the highest common divisor of a and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, m: 1, n: 8, f: 2}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/5))\/a)\/(a*a**5))**5\/(a**(11\/4))**(4\/21) assuming a is positive.\nAnswer: a**(-599\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.57*188.\nAnswer: 107.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-770)\/(-132) - (2 - 26\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6639810, 26559196, 59758182, 106236774, 165994978, 239032800?\nAnswer: 325350246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 4 + 4 - 1. Let m be i(-8). Suppose 7 = 2*r - m. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 q when four letters picked without replacement from yqmyyqqm?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77\/20 + 41\/10. Sort -22, 2, 0.3, j.\nAnswer: -22, j, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*2*3)\/(sqrt(160)*-4))\/((-1*sqrt(99)*-5 + sqrt(99))\/(sqrt(11) - sqrt(825)\/sqrt(3))).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and -217769.\nAnswer: -217768.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33053689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**5 - 6*p**5 + 10*p**5 + (-p**2 - 2*p**2 + p**2)*(-38*p**2 + 53*p**2 - 38*p**2)*(3*p - 2*p + 2*p).\nAnswer: 137*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:06 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25 or 2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {f: 2, b: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 111, 213, 315?\n\"Answer: 102*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4728 = -4*b + 4660 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {q: 5, j: 9, c: 2, u: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1887, 1881, 1875?\nAnswer: 1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20807.5 - -14262. What is f rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826.46 less than 383?\nAnswer: -2443.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4129\/4, 1, 4\/3?\nAnswer: -4129\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-64)\/6)\/((-4)\/18). Let m be 0 + (-4)\/7 + 52\/(-637)*-1477. What is the highest common divisor of m and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2 + 1))\/((-23 + 13 + 8)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbbbkbbb. Give prob of sequence gk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b + 26. Let s = b + 23. Let i = s + -3. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwmun. Give prob of sequence wn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -9*u - 3*u. Suppose 0 = 5*p - u*p - 3. Sort 9, -1, -5, p in ascending order.\nAnswer: -5, p, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 + 0*z + 0*z)*(z + 0*z - 3*z) + (-3 + 3 - 3*z)*(2*z**3 + z**3 + 3*z**3).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**2 + 8*f - 2. Let k(a) = 4*a + 128. Let p be k(-32). Let d be j(p). Solve d = 5*s - 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.06. Let q = b - -1.96. Let z = q - 1.9999988. Round z to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v - 4*v)*(4*v - 3*v + 0*v) + 2*v**2 + 4*v**2 - 4*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -43. Suppose -3*c - t*c = 2*h + 1, 4*h - 6 = -2*c. Solve 21*j**5 - 21*j - 5*j**5 - 92*j**3 + 12 + 4*j + 132*j**h - 51*j = 0 for j.\nAnswer: -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -25571\nAnswer: -10228.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 40*f**2 - 43*f - 61. What is u(39)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3\/1)\/(-9))\/(2\/(-996)). Let z = -185 + q. Are -0.2 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 8*q**2 + 9*q - 4. What is c(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5717\/2 or 2859?\nAnswer: 5717\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6985.967 nanoseconds to milliseconds.\nAnswer: 0.006985967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 693\/5. Let k = 920 - 920.3. Which is the third biggest value? (a) k (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 z when four letters picked without replacement from {z: 4, x: 5, i: 6, c: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/168385 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.396146 to 2 decimal places.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, 33 = 4*y + 3*m - 7. Solve n = -n + y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 2*x**2 + 5*x + 5. Let s(i) = 5*i + i**2 + 2*i**3 - 3*i**2 + i + 6. Let g(o) = -4*m(o) + 3*s(o). Let g(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 3*b - 191*b**2 - 5*b**4 + 189*b**2 as m*b**4 + r + w*b + i*b**2 + z*b**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(-15)*q*q)\/q*q*(q\/(q**39*q))\/q)**(-7))**(-3\/43) assuming q is positive.\nAnswer: q**(-1071\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 79.298, -0.5, 2, -3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7215549 rounded to 2 decimal places?\nAnswer: 3.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*x**2 + 54699*x - 249037 wrt x.\nAnswer: -8*x + 54699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.648677 millennia to years.\nAnswer: 5648.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**5 - 2*w**3 + 2*w**3 + 8*w**5 - 45*w wrt w.\nAnswer: 260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/5 + 58976*p**3\/5 + 3531594*p**2\/5 + 6886268*p\/5 + 3413648\/5 = 0.\nAnswer: -29428, -58, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2727 and 10267963.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708 divided by -59.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - x**2)*(4*x + 0*x - 3*x - 4) + 6*x**3 - x**3 + x**3.\nAnswer: 8*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 875\/(-133)*9\/351. Let y = z + 1\/494. What is the third smallest value in 4, 11\/3, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 2*q**2 + 0*q**2)*(3*q - 3*q + q)*(-66 - 79 + 122) as u*q**2 + j*q**3 + f*q + d and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 + -74. Suppose 2*d + 5*z - 6 = 74, d - l = -3*z. What is the highest common factor of d and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/14742 and 143\/1068.\nAnswer: 2624076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.60426 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1677c7 (base 16) to base 4\nAnswer: 11213133013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*f + 1372, -202*f - 6 = -205*f. Is 343 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4206 - 1627. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/(8 + 154\/(-21)). Let w(f) = 23*f**2 - 18*f**2 + 0*f**m. Let b(i) be the second derivative of -i**3\/3 + 3*i. Give b(w(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 6. Let a(o) = -5*o + 17. Let w(g) = -3*a(g) - 8*q(g). Let v be w(0). Sort 0, 6, v in descending order.\nAnswer: 6, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272109308*k**3 + 12987024*k**2 + 1 wrt k.\nAnswer: 1632655848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from lklkl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x - 3*x + 2*x. Let m(g) = 3*g**2 - 2*g - 1. Let i be m(-1). Let y(c) = 0*c - c + i*c - c. Calculate n(y(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 3, -2\/351 in ascending order.\nAnswer: -4, -2\/351, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 3*w**2 - 2*w + 2. Let q be a(2). What is the common denominator of 4\/3 + q\/(-31) and 11\/24?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 550431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10092*a. Let c(p) = -2*p. Give t(c(h)).\nAnswer: -20184*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.01 + 2. Which is smaller: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*u - 123*u + 248*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189628?\nAnswer: 2, 47407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 259524 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 56 - h - 16 - 27 + 0*h. Calculate z(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 1:16 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13753 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let a be q(0). Suppose -3*y + 3*j = -32 - 22, -3*y - j + 42 = 0. Let z = -11 + y. Solve z*f = 21 - a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026*o**3 - 1028*o**3 + 463*o - 12*o**2 - 463*o + 88*o**2.\nAnswer: -2*o**3 + 76*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 411, -98, -3, 1161.\nAnswer: -98, -3, 411, 1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 76*o**2 + 5 + 9*o - 75*o**2 - 18. Let h be a(-10). Let g(i) = -41*i**3 + 4*i**2 + 6*i - 2. Is g(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 22*u**2 + 6*u - 677. Determine a(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*q - 304*q - 230 = 150 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*q = 28 - 4, 0 = -5*x + 2*q - 54. Let a be (-30)\/25*4*-5. Is 9 a factor of (a\/x)\/(2\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -6) + (-7 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 - -11?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5\/9 + 4*d**4\/9 - 8*d**3\/9 - 4*d**2\/9 + 2*d\/3 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(0 - 30\/4). Let u = 8 - f. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/2)\/((-168)\/(-2464))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3)*-3)**2 - sqrt(17)) + (sqrt(119) + sqrt(119)*-5)\/sqrt(7).\nAnswer: -5*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) - 2556\/126. Let y(c) = -15*c - 20. Let p(u) = u + 1. Let k(m) = d*p(m) - y(m). What is the units digit of k(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68679 by -22893.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 12:05 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, 2\/3, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66008863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 17*n**2 + 114*n + 331. What is the remainder when 5587 is divided by p(-22)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1043991?\nAnswer: 5219955","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 765.495 kilograms?\nAnswer: 765495000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*l + 101*l - 369*l.\nAnswer: -453*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*n - 400 = 0, 22*r - 26*r + 0*n + n = 9*n - 292 for r.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61 + 39517?\nAnswer: 39476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*t + 64. Let p(r) = 132*r + 7305. Let g be p(-55). Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 7*v**2 - 2*v - 11. Calculate g(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 11352.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1029\/(-15) - (1 - 3\/5). Let b = a - -95. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**10)\/k*k*k**13)\/(k**(-5))**(-1) assuming k is positive.\nAnswer: k**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taat when four letters picked without replacement from {g: 1, a: 2, u: 2, i: 4, t: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 7)*4\/3. Suppose 25 = -x*l + 5*m, 18 - 3 = -4*l + 3*m. Solve -2*j + 8 = -l*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 174.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Let d be i(-1). Do -2\/9 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 510126*s - 510126*s - 32, 5*i - 80 = -10*s + 6*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6385 divided by -3.\nAnswer: 6385\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 6. Let o be r(2). Which is the closest to o? (a) -0.2 (b) 5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**3 + 75*h**2 + 135*h + 65 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 + 131. Let f = -5 - -7. Suppose -2*d = 2*d + f*l - c, 2*l = 5*d - 79. Calculate the greatest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3938+-0.4\nAnswer: 3937.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 291*a - 2092. Calculate f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -150*k**3 + 2*k**2 + 3*k + 9. Let c be y(-2). Suppose 443 = -4*a + c. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 35*o + 74. Is z(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 5. Let l be n(2). What are the prime factors of (-3 - (2 + -26))*l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5557, 5555, 5553, 5551, 5549?\n\"Answer: -2*t + 5559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (48896\/573)\/((-48)\/(-54))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5427028 and 5427055 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13439336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11099*m + 6324*m + 66593*m + 55889*m + 11507*m.\nAnswer: 151412*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttoa when four letters picked without replacement from {a: 5, o: 1, t: 8, z: 3, b: 2}?\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 287?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)\/(w*(w*w**(-5\/6))\/w*w*w)*w**(9\/2)\/w**(1\/5))\/(w**(-9)\/w**(-10))**4 assuming w is positive.\nAnswer: w**(-226\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {z: 7, g: 1, r: 3, u: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/10)\/((-150)\/1000). Solve -5*t = -3*k - 22, -4*k = -w*t - 0*t + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28929 or 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000383762 to seven decimal places.\nAnswer: 0.0000384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - r + 0)*(-16 - 21 + 11) in the form j + b*r and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2638?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6679*s**2 + 46669*s**3 + 61999*s**3 + 6679*s**2.\nAnswer: 108668*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s = -338*s + 14448. Calculate the remainder when 477 is divided by s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k**2*o**3*q - 2*k**2*o**3 + k**2*o**2*q - 2*k**2*o**2 + 2*k*o**2*q + 3*o**3*q + o**2*q wrt o.\nAnswer: 48*k**2*q - 12*k**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by (7 - (21 - 4))*9\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 1 + l**4 - 1)*(-994 - 9*l + 994 - l + 4*l - 4*l + (3*l - 3*l - l)*(1 + 0 - 4) + 3*l + 3 - 3).\nAnswer: -4*l**5 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19*1 - 2\/2. Let x = -712 - -709. Let o = a + x. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.117, 2\/5, 1 in ascending order.\nAnswer: -3, -0.117, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19236*b**5 - b**3 + 972*b - 8?\nAnswer: 384720*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {d: 4, s: 1, x: 3, w: 2, y: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 315113951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (7 - 5)) + (-7)\/(-1). Solve 0*s - 7*s = g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4\/4 - 25885*m**3\/4 + 156828201*m**2\/4 + 140386022209*m\/4 - 140699575079\/2 = 0.\nAnswer: -791, 2, 13337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -156509.492?\nAnswer: -156509.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**6\/15 + 11*b**5\/20 + 49*b**2\/2 - b - 13. What is the derivative of y(o) wrt o?\nAnswer: 8*o**3 + 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556782 is divided by 69596?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41324 is divided by 4367.\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-272)\/(-238))\/(36\/14)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10365 + -10365.33009. Round i to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5*(j\/(j**13\/j))\/j)\/(j\/j**(-4))**(7\/13))**(-1\/12) assuming j is positive.\nAnswer: j**(21\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (1 + 8)) + -162 + 165?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 8*i + 4. Let l be x(-7). Let u(j) = -3*j + 1 + 2 - 3 - 3. What is u(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-12 - -2) - (-52 - -22 - -150 - 42).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*z - 93 = 416*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*j + 20*j - 113*j - 24*j)*(-2*j + 2 - 2) as b*j**2 + k + y*j and give b.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.8, -2\/51, -11943?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231472*z**3 - 231314*z**3 + 463018*z**3.\nAnswer: 232*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5365 (base 9) to base 16.\nAnswer: f6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/4 + n**3\/3 + 7*n + 3. Calculate x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115308981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/7, -0.02628, 1\/11 in decreasing order.\nAnswer: 1\/11, -0.02628, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -482878.249056 - -481239.849. Let j = -1639 - m. Let l = 0.6 + j. Round l to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*z - 73 - 529. Suppose -4*j - 8 = 4*f, -z*f - 3*j - 20 = -18*f. What is the nearest to -1.4 in 3\/5, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 0*p**4 + p**4)*(1 - p - p - 3).\nAnswer: -4*p**5 - 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78 - 104) + (1 - (-4 + -9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 + 551*f**2 + 266*f - 2470. What is t(-275)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26.29 - -86177534.4\nAnswer: 86177508.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 6. Let d(i) = -2*i**2 + 7. Determine 5*d(u) - 6*q(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.17 - -112.54. Let n = -0.97 + s. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102592072?\nAnswer: 2, 11, 1165819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*d + 18050 + 16927 = 58*d - 3435 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p + 105 = 2*k, -2*k - 2*p + 114 = 0. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l*l\/(l**2*l))\/l)\/l)\/l))\/l**(1\/26) assuming l is positive.\nAnswer: l**(129\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(204) - (sqrt(204) + (sqrt(204)*1 - sqrt(204))))\/sqrt(12) + -3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(3*o - 3*o - 2*o)*(o + 11*o + 23*o) as n*o + h + v*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118159891470 + -118158077978.999988. Let x = -1813497 + k. Let p = 6 + x. Round p to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2*w + 28 = 0, 3*s - 7*w + 6*w = -19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8306 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 573, 552, 511, 438, 321, 148, -93, -414?\n\"Answer: -2*l**3 + 2*l**2 - 13*l + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9200, -9195, -9188, -9179, -9168, -9155?\nAnswer: -9140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {w: 6, r: 3, e: 10}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3 + 8*m**2 + 46*m + 70. List the prime factors of q(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 - -3) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/20 + f**4\/3 + f**3\/6 - f**2\/2 - 8*f. Give d(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588714 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9675 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4 + 33*o**3 - 42*o**2 - 240*o = 0.\nAnswer: -2, 0, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 22 (b) -3\/5 (c) -3\/8 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:21 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-56) + ((-96)\/14 - -2). Which is the closest to 1\/3? (a) 2\/3 (b) -1\/7 (c) 0.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -337866391535 minus 27?\nAnswer: -337866391562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8705728.\nAnswer: 2, 136027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170550 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541, 511, 479, 445, 409?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 249 + -154. Let l(g) = 64*g**2 - 3*g - 2. Let d be l(2). Suppose 5*z + 58 - d = 0. Calculate the greatest common factor of z and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 9850*c - 235824.\nAnswer: -(c + 24)*(c + 9826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.861 and 0.1?\nAnswer: -1.0861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/45)*(h\/(h**14*h))\/h)\/((h*h*h*h*h**(-3\/7)*h)\/h)**(1\/8) assuming h is positive.\nAnswer: h**(-36517\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxxxoboxxpoxoox. Give prob of sequence xb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:00 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 2*f + 2. Let k be s(-2). Suppose 0 = 3*z + 12, k*n + 5 = -2*z + 19. Solve 2*y = 1 - n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228*q**2 + 520*q**2 + 205*q**2 - 2*q**2 - 3*q + 3*q + (-q + q + 2*q)*(2*q + 0 + 0).\nAnswer: 955*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -2, -54, -1\/6, 5\/3, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Suppose 0 = -3*p + 2*b + 11, -6*p + 19 = -3*p + f*b. Calculate the remainder when 9 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) 232412\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/16787 - 1611302\/2098375. Let w = 4\/125 - c. Let a = -3\/2 - -5\/4. What is the second smallest value in w, 2, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0800265 - -2\nAnswer: 1.9199735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 2*s. Let q(b) = -7*b**2 - 1 - 2*b**3 - 7*b + b**3 - 3. Does 2 divide q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132\/13 + -1465\/143. Which is the closest to -0.1? (a) 0.5 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 + 11?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89193*b - 4662 = 88971*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -91*w**3 + 2*w**2 + 31*w - 6. Let h(b) = -91*b**3 + 3*b**2 + 30*b - 6. Let x(i) = -6*d(i) + 7*h(i). Let r be x(9). Round r to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2831678 and -4?\nAnswer: -11326712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -18.8. Let f = t + 0.8. Let a be -1*(1 + (-8)\/6). What is the biggest value in f, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Suppose -5*c + 20 = 5*w, -4*w + 11 = -v*c + 3*c. Let f = c - -4. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 2*n. Let g = n - -5. Let y be g + 50\/(-8) - -3. Is -2\/7 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025072773 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 0.67. Let g = r - 0.69. What is g rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381845747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 952840579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02748 + -41.72548. What is f rounded to one decimal place?\nAnswer: -41.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 760298 divided by 69118\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3 + 2*u - 3 - 6*u.\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 7:22 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001101101001001011 - 11?\nAnswer: -101001101101001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/(-8 + 7). Let y = -5 + 17. Let u be (-20)\/18 - y\/(-18). What is the nearest to q in 5, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**2 + 18*g**6 + 10*g**2 - 2*g**2 - 2*g**2 wrt g.\nAnswer: 2160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 30. Let q be z(16). Sort -4, 2, q.\nAnswer: -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1331) + (sqrt(99) + sqrt(99)*2)\/sqrt(9))**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2 - (-4 + (-9)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*u**2 - 450015*u - 168750.\nAnswer: -5*(u + 11250)*(8*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*t = -45, 284 - 247 + 618 = -14*h + 19*h + 65*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/13, -0.143, 2\/23, -1, 1\/130?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*3\/(-6)*-4. List the prime factors of u\/((-1)\/(-12)*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 3*y**2 - 5*y - 3. Let u be x(5). Calculate the highest common factor of 88 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*t - 7. Let n be (20\/16)\/(t\/(-4)). Factor -2*x**3 + 6*x**2 - 5*x**2 - n*x**2 - 10*x**5 + 16*x**4.\nAnswer: -2*x**2*(x - 1)**2*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134952, -135247, -135542, -135837, -136132?\nAnswer: -136427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*c + 2*c. Let b = c + 1. Are -1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -92209 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 - 3*s - 4. Let q(i) = 5*i**2 - 53*i**2 - 4*i - 7 + 30*i**2 + 2 + 25*i**2. Calculate 2*q(r) - 3*v(r).\nAnswer: -4*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*o - 30, -24 = -4*o - 0*a - a. Suppose -2*q + 2 = -2*m, 0 = 4*m - 2*q - 0*q - o. Suppose 4 = -m*y - 3*b, 2*b - 2 + 4 = -2*y. Is -1 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -173236, -173257, -173270, -173269, -173248, -173201?\n\"Answer: q**3 - 2*q**2 - 22*q - 173213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.8, -15, -34, 15?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.6. Let q = 622 - 204. Let y = 417.97 - q. What is the nearest to y in x, -4, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 604876 or 604873?\nAnswer: 604876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14614 + -6?\nAnswer: -14623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(9\/(-45)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1416054 divided by -12.\nAnswer: -236009\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 3*d + 13. Let k be q(5). Suppose 4*t - 5*t = k. Suppose 5*o = 3*x + 18, o - 5 = 3*x - x. Which is the nearest to -0.1? (a) t (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1146458127*i*n**3 - 3*n**3 + 4*n**2 + 46399*n - 17 with respect to i.\nAnswer: -1146458127*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 12*h - 13*h. What is the greatest common factor of 115 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, 2\/169, -1236, 25\/8 in descending order.\nAnswer: 25\/8, 1, 0.1, 2\/169, -1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71038 > -59\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + f**2 - 91 - 2*f**3 - 12.\nAnswer: -2*f**3 - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 170\/(-12))*(-25 - -19). Factor -35*b**5 - 6*b**2 - 4*b**2 + q*b**5 - 51*b**5 - 5*b**3 + 10*b**4.\nAnswer: 5*b**2*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) - (sqrt(208) + 1 + sqrt(208)))*3 - (-3 + sqrt(208)*1))**2 - ((sqrt(208) + 3)*-1 + -1)**2)*2.\nAnswer: -64*sqrt(13) + 6208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 349*i**2 - 5*i + 8. Let y be p(4). Let g(m) = -y*m - 1 + 4*m**3 + 5572*m - 11*m**2. Let d(l) = 2*l**3 - 5*l**2. Give -7*d(u) + 3*g(u).\nAnswer: -2*u**3 + 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(84)*1)\/sqrt(12))**2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6691144 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-19)*(-1)\/5)\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 193968623*n - 142567047.\nAnswer: 193968623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14810, -14870, -14914, -14942?\n\"Answer: 8*m**2 - 84*m - 14734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1\/(-2)*-28)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)*(2 + -4). Suppose -2*z - 3*z + 4*y = -6, 5*z - 8 = s*y. Is 17 a factor of (-3 + z)*(-62 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653244*y**2 + 326526*y**2 + 326725*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, 26, -5, 0, -28 in increasing order.\nAnswer: -28, -5, 0, 3, 19, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 21*g + 16. Calculate q(8).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 - (-63 - 1). Let j = c - 36. Suppose 13 = 4*v - 2*k - 13, 0 = v + 4*k - j. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54\/5 - -52\/5. Let q = -9\/10 + 47\/30. Is q greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a + -4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkmdkkkkodduokomkm. What is prob of picking 1 o, 1 l, and 1 u?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 20*q + 6. Let d(c) = -c**2 + 10*c - 3. Let a(y) = -9*d(y) - 4*g(y). What is the remainder when 8 is divided by a(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09603 and -98?\nAnswer: -9.41094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89091*b**2*n - 2*b + 5*n - 117 wrt b?\nAnswer: -178182*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/1590479 and 9\/722945.\nAnswer: 7952395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 213000 and 119280.\nAnswer: 2982000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61340*l**2 + 2*l + 83244?\nAnswer: 122680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9 - 2)*(0 + 2*u**2 + 0) - 4*u + 4*u - 2*u**2.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 8966*b\/3 + 14960.\nAnswer: -2*(b - 5)*(b + 4488)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 315*k**3 - 777103*k**2 + 771856*k + 4932.\nAnswer: (k - 2466)*(k - 1)*(315*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -574 - -1640. List the prime factors of x.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/5 - 99378*x**3\/5 + 5269003*x**2\/5 - 83517864*x\/5 + 415223856\/5 = 0.\nAnswer: -99431, 12, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(9\/7)\/(v**(-14)*v*v))**1)**23)**5 assuming v is positive.\nAnswer: v**(10695\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4789253, 9578511, 14367787, 19157081?\n\"Answer: 9*y**2 + 4789231*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2558 by 3.\nAnswer: -2558\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-3)\/(-1) - 0). Which is the closest to m? (a) 0.4 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/7 + 153016*q\/7 + 2267200.\nAnswer: 4*(q + 104)*(q + 38150)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 3 (c) -2\/607\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*p**2*y**2 + 20953*p**2 - 4278*p*y**2 + p + 4 wrt y.\nAnswer: 144*p**2*y - 8556*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.3 (c) 12798\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/89581689?\nAnswer: -4\/89581689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w + 8 + 3*w**2 + w**2 + 0.\nAnswer: 4*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x**2 - 1317*x - 406. Is 31 a factor of h(103)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c*c**(-2)*c)*c)**(-8\/3)*(c*((c**3*c)\/c*c*c)\/c)\/(c**7*c))**15 assuming c is positive.\nAnswer: c**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**2*q*v + m**2*v**3 + 2*m**2 + 2*m*q*v**2 + 6*m*q + q + v**2 wrt v?\nAnswer: 6*m**2*v + 4*m*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 25. Suppose 0*r + b*r = 6. Is 7 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 10*q + 8 = 0. Let w(y) be the third derivative of 0*y**3 + 0 - 1\/12*y**4 + 2*y**q + 0*y. Let j(g) = 4*g. Determine j(w(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -279572701.7 to the nearest ten thousand.\nAnswer: -279570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/224 and -33\/49.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (-5*(2*sqrt(88) - sqrt(88)) - sqrt(88)) - (sqrt(88) + -1*sqrt(88))*-5)*-6)\/(2*sqrt(72) - (3*(sqrt(8) + sqrt(200)) - sqrt(8))).\nAnswer: 42*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 12*y**2 + 58. Calculate k(-11).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15678*b - 885 = 15619*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uyufuayfyaaruauayaua?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 35 = 7*g. Suppose 4*v - g = 3*v. Differentiate -p**2 + 4*p**4 - v*p**4 - 1 + p**2 wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5994913*o**4 - 2*o**2 - 14114*o + 186 wrt o.\nAnswer: -71938956*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*1234.2.\nAnswer: 123.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -2*a + 18, 0 = 7*a + 2*p - 87989 + 88010 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1505 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -126*-20458\nAnswer: 2577708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*a + 2 = 0, -3*a = -16 + 1. Solve -3*w - 3*i = 6, 2*w + 10 = -k*w - 3*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 11 = 2*a. Calculate the smallest common multiple of 4 and a\/(-7) + (-1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5122, 34616, 114690, 270640, 527762?\n\"Answer: 4216*y**3 - 6*y**2 + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3.37 (c) 0.5 (d) 5 (e) 0.0052 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/8 - 204\/3168*-3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6621 bigger than -6620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 1:48 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qww when three letters picked without replacement from {w: 3, c: 1, t: 2, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3435 - 3400 = -5*z, 4*z = -5*k - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 439 = -d, -y + 2*d - 615 = -180. Let i = y - -715. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xir when three letters picked without replacement from iiowfrwx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 14054529600 to the nearest one million.\nAnswer: 14055000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 71, 84, 97, 110?\n\"Answer: 13*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + m + 8085 = 0, 4*y + 338 = 5*m + 11129. List the prime factors of y.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 14*z**2 + 43*z**2 - 2*z**2 - 20*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281569 - 2*c + 277202 - 558771.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 + 435\/2*v - 1\/2*v**2 = 0. Calculate v.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4 + 5. Let z be 0 + 2\/3*q. Is 1992\/16 + z\/4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 14. Let b be (8\/(-7890))\/((-99)\/45 + 1). Let j = b - -23644\/30771. Are j and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 1681803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -2\/49, 3\/5, -4, 2\/3 in decreasing order.\nAnswer: 2\/3, 3\/5, 4\/9, -2\/49, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 23. Let m(v) = -3*v. Let d(n) be the first derivative of 13*n**2\/2 - n + 2. Give t*m(y) + 2*d(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -116517.48 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.16 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5. Solve 5*a - 4*r - 35 = j, -4*a = -r - 4*r - 37 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 7*u. Let q be r(-7). Find the second derivative of 3*i**2 - 3*i**2 - 6*i + q*i**2 - 4*i**2 wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 1 + (1 - -1). Let j(z) = z**3 + 3*z**2 + z. What is j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7495342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 12*j = -5*n + 36, -3*n + j + 15 = 0. Solve -2*p = 5*f - 31, 5*f + n*p = 2*p + 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35 - 3*(-2)\/(-2). Solve 0 = 3*g + t - 12, -4*t = -4*g + k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**3 - 49*n**2 + 5*n - 43. Let c be y(-10). Solve -c = 46*s - 53*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 2*x - 4. Let a = -15498 - -15531. Calculate the least common multiple of a and s(-4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20978.8855 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 838 and 14?\nAnswer: 5866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(114)*3)\/(sqrt(30)\/sqrt(5)*4).\nAnswer: -5 - 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255447712 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(12 + 398*a - 14 + 265*a)*(6*a - 4*a + 0*a).\nAnswer: -3978*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36681.638 less than 3?\nAnswer: -36678.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*q**3 - 18 + 1 + 277*q**3 - 12.\nAnswer: 676*q**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9032, 4, -64 in decreasing order.\nAnswer: 4, -64, -9032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-179)\/13 + 147\/(-14)*24\/(-18)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*x**2 + 1 - x + 34*x**2 + 34*x**2 + 28*x**2 as b*x**2 + j*x + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 = 7*d. Suppose 5*k - d*v + 3 = -2, 5*v = 15. What is the second derivative of 7*o**2 - 4*o**k + 7*o**2 + 5*o - 3*o**2 wrt o?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1373238 and 372.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -30 - 3*w**2 + 2*w**2 - 6*w + 32. Calculate l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 267975?\nAnswer: 16\/267975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 minutes after 5:40 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -8499 + 8504. Solve -4*j - 2*v + 3*v - 3 = 0, 0 = -5*j + h*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a - 40. Suppose -12 = -2*w - 2*w + i, -2*w + 4*i + a = 0. Solve r = -w*z - 8, 5*z + 6 = -4*r - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*c - 97 = 0, -5*a + 24 = -2*c - 80. Calculate the highest common divisor of 792 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5360 and 17\/2747.\nAnswer: 219760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -2.05. Let q be 2\/5*25\/(-35). Let i = -1\/21 + q. What is the closest to 3 in s, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100906351*c**3 - 100906351*c**3 + 201812701*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 15. Let d = p + -8. Suppose -d*z + 54 = -2*z. What is the lowest common multiple of 6 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 26099243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 54*r**2 + 19*r + 334. Let z be w(54). What is the highest common divisor of 32 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = -2. Suppose 0*t = 4*t - g. Let l(f) = -f**2 + 2*f - 2. Give l(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*p - 929 = 1406 + 2565 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/(1\/(-18)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - z + 1. Let r(k) = 2*k**3 - 2*k**2 - 2*k + 2. Suppose 127 = 5*a - 47*a + 43. Determine a*d(i) + r(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*l + c, -3*l + 3*c - 4*c = -26. Let u be (-6699)\/49 + (-2)\/l. Is (-5 - u) + 4\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1601 and 4818?\nAnswer: 7713618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*-2 - (sqrt(50) + sqrt(6050)*-4))\/((-5*sqrt(320))\/(2*sqrt(98))).\nAnswer: -259*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 3. Let a(y) = -2. Let j(o) = 3*a(o) - 2*h(o). Let g(z) = 26*z**2. Determine g(j(u)).\nAnswer: 104*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 300981 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/28? (a) 0.5 (b) 3\/7 (c) 3 (d) 1.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1387831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 15647?\nAnswer: 15647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-68 - -41)) + -20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*b + 203*b - 103*b - 40*b**5 - 11 - b**2 + b**2 + b**5 + (-2*b**3 - b + b)*(-2 - 2*b**2 + 2) - 4*b**5 - b**5 + 4*b**5.\nAnswer: -36*b**5 + b - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -5, 72 in decreasing order.\nAnswer: 72, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.332 minus 27556795?\nAnswer: -27556794.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 5) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 21 = -35. Solve -5*c = -5*v + 2*v - z, 10 = c - 5*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -173713*y - 173729. Give z(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxqxqxqx. What is prob of sequence xxxq?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 11*w + 257604 = -19*w. Is 65 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 2*g - 1. Let i(s) = 8*s**2 - 13*s + 464. Give -i(l) - 6*n(l).\nAnswer: -2*l**2 + l - 458","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - (-5 + 4)) + (6 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2928 divided by -4?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.426 + 0.074. Round o to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(1\/((-4)\/4)). Suppose u = -2*f + 3, 2*f - 26 = 4*u + 2. Solve -f = i, 2*l + d*i - 2*i = -26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446275821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/9 - 776*m**4\/9 - 76808*m**3\/9 - 99328*m**2\/3 - 32768*m = 0. What is m?\nAnswer: -192, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -2\/3*c**3 - 1\/60*c**5 + 20*c**2 + 1\/6*c**4 + 0*c + 0. What is o(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i**2 - 44. Let d(p) = -5*p. Determine d(l(t)).\nAnswer: -85*t**2 + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -56.0031. What is m rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = z + 4*z + 99, 0 = -3*z + 5*t - 78. Is z less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -340216657 or -340216655?\nAnswer: -340216657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 84843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 40*f = 31*f - 250260. What are the prime factors of f?\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = 68. What is the common denominator of (54\/(-8))\/((-187)\/b) and (77\/2)\/(6 - 1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4281126525 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334520.\nAnswer: 2, 3, 5, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i = 19*i - 900438. What is the thousands digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-20)\/(-7)))\/(2\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 11*a - 14. Suppose 0 = 5*c - 3*m + 7496, 3*c + a*m = 6*m - 4498. Round c to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - -2. Let q(r) = -2*r**2 - 20*r - 19. Let z(j) = j**3 + 4*j**2 + 6*j + 1. Let y be z(-3). What is the remainder when m is divided by q(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(3*p**5 + 0*p**2 + 0*p**2) + (-2*p**2 + 3*p**2 + p**2)*(p**3 - p**3 + 4*p**3).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2088)*-90*8\/10.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**8\/5376 + t**7\/1440 - t**6\/360 - t**5\/120 - 35*t**4\/12 - 15*t. Let v(m) be the third derivative of u(m). Factor v(b).\nAnswer: (b - 1)*(b + 2)*(5*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**2 - 3 - 2 + 3.\nAnswer: -36*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Two letters picked without replacement from gggnnngnungf. What is prob of sequence un?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-36)\/d)\/d)**(2\/5)*d**(-2\/67)\/(d**0*d) assuming d is positive.\nAnswer: d**(-5437\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-140)\/16 + 2)*(-16)\/2. Let p = -52 + y. Suppose -40 - 64 = -p*v. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*v - 11 = 0, v + 20 = 6*v. Let z(y) = 2*y - o*y - 2*y + 4*y. Let b(x) = 7*x - 6. Let r(l) = -13*l + 11. Let c(q) = 11*b(q) + 6*r(q). Give z(c(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3896244*l**2 + 44*l + 7136.\nAnswer: 7792488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13025 and 1075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-120)\/115)*(-9 - (-28 + 7))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1 - (3 - (3 + -2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + 19\/(-4) + 0. Suppose -3*i + 3 = -5*b, -2*i + 0 = -2*b - 2. Let d = b + 0. Sort 3, p, d.\nAnswer: p, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/5870 and -22\/29937.\nAnswer: 299370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29036*y**4\/3 + 174212*y**3\/3 - 29060*y**2\/3 - 174212*y\/3 + 8 = 0 for y.\nAnswer: -6, -1, 1\/7259, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:38 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-567)\/(-20223)*-107 - (114 - (-3)\/(-3))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 242*s**2 - 16385*s + 204304.\nAnswer: -(s - 113)**2*(s - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 208 (base 14) to base 6\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 425 = 20*f + f + 53*f + 602, 0 = -4*w - 4*f - 64 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6343, 1, -0.02, -2.52.\nAnswer: -2.52, -0.02, 1, 6343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 9, -2*d - 22*w + 481 = -19*w. Calculate the highest common factor of d and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60857886 divided by -288426.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4047 - -7838. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/1506697 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*n - n + 24, -2*n - 3*j = -28625 + 28608 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.87 and 0.3?\nAnswer: 0.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 98 = 177. List the prime factors of w.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-60))\/((-3)\/30)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/5*(-2)\/(-56). Let t(b) be the third derivative of -2\/21*b**3 + y*b**5 - 3\/28*b**4 - 13\/420*b**6 + 0*b - 32*b**2 + 0. Find k, given that t(k) = 0.\nAnswer: -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, -2, 316\/169, 0.5 in descending order.\nAnswer: 222, 316\/169, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d**2. Let k(t) = 2*t. Determine k(l(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46699831 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -588 - -586. Let w(l) = l**3 + 3*l**2 + 4*l + 4. What is w(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**10\/1260 - t**6\/90 - t**3\/6 + 3*t. Let b(i) be the second derivative of n(i). Find the third derivative of b(d) wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z. Let f(r) = -r - 1. Let a(w) = -8*w - 6. Let b be (-117)\/104 - 1\/(-8). Let g(t) = b*a(t) + 6*f(t). Give p(g(d)).\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1085.4 and -15408.\nAnswer: -14322.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ed (base 15) to base 6.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 50 = 4*r. What is the least common multiple of 9 and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5206, -41665, -140654, -333445, -651310?\n\"Answer: -5212*s**3 + 7*s**2 + 4*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c + 1 = 0. Let g = -16 + 18. Let o be (6 - 6)*c\/g. Solve o*k = 4*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -423097, -4, -3\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 - i + 1. Let x be h(2). Let n be 2\/x*-3*5. Is n - (-1 - (-8)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 3. Let n be z(4). Let l = n + 15. Let b(f) = -1 + 2 + 1 - 3*f + 2*f. Calculate b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 17*t**2 - 32*t + 1. Let v be j(15). Calculate the remainder when -6 - 36\/(-6) - v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1587 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.6 and -0.3.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + p - 4)*(1 - 3 - 1) - 2*p - 2*p + 2*p + (-2 - 1 + 4)*(6 - 2*p - 6) - p + 2*p - 2*p - 2*p + 19 + 4*p - 14.\nAnswer: -6*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287702, -575324, -862946?\nAnswer: -1150568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -193+-8627\nAnswer: -8820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8696.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -462 - 642. Let t = w - 97. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*9\/6 - 247\/(-95).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1498*z**2 - 3 + 753*z**2 - 2*z + 685*z**2 in the form h*z**2 + s*z + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9541364 and 148106.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*l**3 + 343 - 507 + 262*l**3 + 164.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126073324 a multiple of 1534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 117*s**2 - 429*s**2 - 813*s**2 - 153*s**2 + (-4*s + 4 - 4)*(0*s - s - s).\nAnswer: -1270*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b - 31 + 26*b + 38.\nAnswer: 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let r(o) be the third derivative of 13*o**4\/8 + 4*o**2 - 2*o. Give -52*h(x) - r(x).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 708625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284182.\nAnswer: 2, 151, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -335*d**5\/12 + 77*d**4 + 608*d**2. What is the second derivative of p(m) wrt m?\nAnswer: -3350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 + -2 + (0 - 190)*-17 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 - 1 + 1 + (-17*w + 17*w + 4*w**3)*(12*w - 7*w + 8*w).\nAnswer: 51*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 29*f + 240 = 9*f. Calculate the remainder when 1677 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5 = 2*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.89282*9.\nAnswer: -8.03538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -2373704?\nAnswer: 2373709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 843 and 27?\nAnswer: 7587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6926813 divided by 503\nAnswer: 13771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3201.02 + -3201. Which is the fifth biggest value? (a) -1 (b) -21 (c) i (d) 0 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*5*2)**2 + 4.\nAnswer: 56704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(130)*3)\/sqrt(10)*1.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3449265?\nAnswer: 3, 5, 227, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1508392, 3016923, 4525454, 6033985?\n\"Answer: 1508531*k - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 10\/8 - 18527\/(-764). Suppose 10*s = 8*s - 5*i - l, 5*s + 14 = 2*i. Which is the nearest to -1? (a) -5 (b) 1\/16 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -500*i**4 - 2900*i**3 - 6240*i**2 - 5888*i - 2048 = 0?\nAnswer: -8\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o*o**15)\/o)\/o)\/(o\/o**27)*o**(-35)*o*o*o\/o**1*o assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 35 = 6*i. Find the second derivative of -7*p**i + 22*p - 17*p**2 + p - 3*p wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*-2)\/(sqrt(12) + sqrt(144)\/sqrt(3)) + sqrt(144)\/((2*sqrt(27))\/sqrt(9)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38, -3, -5, -17313 in decreasing order.\nAnswer: 38, 2, -3, -5, -17313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/24 + 2*w**3 + 6*w**2. Let a be j(9). Suppose -3298268 = a*c + 1501732. What is c rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q + 72644369 - 15442769. Round q to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kquk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1587*z**3\/2 + 17319*z**2 + 3030*z + 132.\nAnswer: -3*(z - 22)*(23*z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqqmqqmqqmmmm. What is prob of sequence qq?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 6288 - 4360. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -278.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1498 + -1509. Which is the fourth biggest value? (a) -4 (b) -1\/5 (c) s (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9019 - -9012. What is the nearest to 0 in j, 2\/3, -1, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let b = -44 + 44.49. Let a = 0.09 - b. Put q, a, -1\/4 in descending order.\nAnswer: q, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g + 51*g + 20 = 0. Which is the second smallest value? (a) 2\/13 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/24 + y**5\/60 - y**2. Calculate the least common multiple of z(1) and 36\/4 - -4 - 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*l**2 + 1 + (0*l**2 - 2*l**2 - 9*l**2)*(0 - 2 - 1).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -29. Let c = d - -35. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*x + 19, -4 = -5*x - 19. Let d(v) = -10*v + 12. Let k be d(2). Let y be 1\/(-3)*9\/(72\/k). Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 less than 127306093?\nAnswer: 127306041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -1 + (25 + (-67 - -20) - -30)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 46, 270?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37367, -1\/40, -58.\nAnswer: -37367, -58, -1\/40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + 5.01. Let n = 0.5 + -0.1. Let u = -0.8 + n. Which is the third biggest value? (a) u (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = j + 2 + 4, 3*j - 21 = -4*c. Suppose 0 = c*d - 33 + 33. Solve d = -3*z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739220.2128 rounded to the nearest one thousand?\nAnswer: 739000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*d + 4*n - 13, 0 = 3*d - n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -4 (c) 347815 (d) 2 (e) 100\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d. Suppose 0 = -2*n - 0*n - 2. Let p be l(n). Suppose 3*f - 33 = f - 5*t, 2*f + 3*t - 23 = 0. Sort 1, f, p in decreasing order.\nAnswer: f, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:24 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*k = -123*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 14*y + 2. Determine o(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9871909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-15))\/(12\/9*-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2, 38493, -0.06, 27, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-20\/9)\/(z*z**(-7)*z) assuming z is positive.\nAnswer: z**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6551027\/186 - -35220. Find the common denominator of s and 2 + ((-95)\/(-33))\/(-1).\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/7 - 37*r**4\/7 - 1290*r**3\/7 + 4180*r**2\/7 - 136*r\/7 - 5568\/7 = 0. What is r?\nAnswer: -24, -1, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -132809984 and -1.\nAnswer: 132809984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -4 (b) -47 (c) 1\/5 (d) 2\/11 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -3565093?\nAnswer: -3565093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3439.844 + -3454. Let h = z - -13.8. Round h to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*n*u - 2*g**3*n + 5*g**3*u - 15864*g**3 + 77*g**2*n - 6604*g**2*u - 2*n - 2*u wrt g.\nAnswer: 18*n*u - 12*n + 30*u - 95184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p - 11 = 3*n, 0 = 3*n + 4*p + 7. Suppose 4*u = -n*j + 77, -2*u = -5*j - 7*u + 120. What is the remainder when j is divided by 1 - -9 - (0 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/13 - 103308*w**3\/13 + 1333964544*w**2\/13 + 2668342336*w\/13 = 0. What is w?\nAnswer: -2, 0, 25828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/(-1))\/(8\/(-24)). What is the common denominator of 64\/3 and (-26)\/117 + 5\/q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 1 y when three letters picked without replacement from rryryyrqyuys?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22085\/44 + 502. Let t = 2\/11 + k. Let p = 166.6 + -167. Which is the second biggest value? (a) p (b) 1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4)**(14\/3)\/(((n\/n**(-10))\/n)\/n)**43)**(-49) assuming n is positive.\nAnswer: n**(54145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 8*v - 4*v + 17, 4 = -2*f + v. Let k = 4 + 5. Let t = k + f. Calculate the highest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 5) to base 3\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 712.6391 litres to millilitres.\nAnswer: 712639.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12122289 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 - 12 + 29 - 12 - 5.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -5.9, 5, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/14*315\/135.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 34. Let s be d(0). Let t = s - 28. What is the third derivative of 17*p**2 + t*p**6 - 7*p**6 + 9*p**6 - p**2 wrt p?\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*x + 2 = 0, 5*j + 3*x + 2 = -14. Let r = 9971 + -9968. Put j, r, -2, -3 in descending order.\nAnswer: r, -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3\/9 + 9550*f**2\/3 - 229328*f\/9 = 0.\nAnswer: -14333, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 2:17 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82448985 to the nearest integer?\nAnswer: 9080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1350*p - 29. Is s(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 + 12 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4385 - -798582492.\nAnswer: 798586877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(5\/((-10)\/(-42)))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 17*x - 56. Is l(-24) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y. Let m be -8*3\/18*3. Let n(b) = 55*b**2 - 25*b. Let t(c) = -9*c**2 + 4*c. Let z(r) = m*n(r) - 25*t(r). Give o(z(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + 3*i**5 - 5*i**5 + (-3*i - 2 + 2)*(-3*i**2 + 0*i + 0*i)*(78*i + 9*i**2 - 78*i).\nAnswer: 79*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -121617*r**2 - 237380 wrt r.\nAnswer: -243234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*h - 84, -3*q - 81 = 4*h + 127. Let t(i) = 86*i + 193. Let x be t(-3). Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 7407 = -10*i. Let x = 833 + i. Solve 8*v - 18*v - x = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*i**3 - 32*h**2*i + 13*h**2 - 5*h*i - 16*h with respect to i.\nAnswer: 6*h**2*i**2 - 32*h**2 - 5*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048288781 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 465479587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497446.\nAnswer: 2, 248723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d**2 - 24*d + 22*d + 79*d**2.\nAnswer: 134*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33137141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:34 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**3 + 9*q**2 + 3*q + 7. Let x(s) = 2*s**3 - 4*s**2 - s - 3. Let g be ((-2)\/4)\/((-5)\/40). Suppose g*u + 20 = -8. What is u*x(p) - 3*o(p)?\nAnswer: p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8) + 4 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 6 = 31. Suppose -12 = 4*v, j + 0*j = -3*v - l. Suppose -2*t - 3*t - 15 = 4*k, -t - j = k. Which is the closest to -0.1? (a) t (b) 1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 213342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(60\/(-8)) - (-14)\/35. Suppose -k - 611 = -3*r, -3*r - 7*k + 11*k + 617 = y. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 1168*p**2\/5 + 68608*p\/5 - 212992.\nAnswer: 2*(p - 520)*(p - 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 205*l**2 - 5. Let k(i) = i**2 - 9. Determine j(k(b)).\nAnswer: 205*b**4 - 3690*b**2 + 16600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 126, 7229, 19068, 35643, 56954, 83001?\n\"Answer: 2368*l**2 - l - 2241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 953\/246581 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 4 - 1*-4. Let j(l) = 2*l + 3. Let g be j(-5). Let w = g - -17. Solve o*x - 10 = 2*t + 3*t, 0 = -5*t + 3*x - w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1818291 by -3.\nAnswer: 606097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 30\/8)\/(5\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62215.3 + -0.02.\nAnswer: -62215.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 210951101 a multiple of 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 12 = 2*h + h, d = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 12*l**2 - 27*l - 17. Calculate o(-7).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j - 427 = 789 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.614523 milligrams?\nAnswer: 3614523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 l, and 1 e when four letters picked without replacement from {e: 1, m: 1, i: 2, o: 1, l: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77) + -5*sqrt(77)*-2 + sqrt(77) - -4*sqrt(77)*-1))\/(sqrt(343)*-4 - (sqrt(14)\/(sqrt(2)*3) + sqrt(7))).\nAnswer: -18*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7808 and 1.\nAnswer: 0.2192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 6*a + 9. Let g be d(-6). What is the biggest value in g, -1, -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1586284, 1586281, 1586278, 1586275, 1586272, 1586269?\n\"Answer: -3*r + 1586287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-55)\/(-5) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6789191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202370.31 times -3?\nAnswer: -607110.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235379 is divided by 84?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.04 - 29.04. Put 2\/7, h, -1\/3, -2\/17, 0 in descending order.\nAnswer: 2\/7, 0, -2\/17, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 33 = -d - 3*d, d = -2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -11558*h - 69328. Calculate p(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 57) + (38 + 7 - 56).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 51\/37, 0.3, -0.1 in decreasing order.\nAnswer: 51\/37, 0.3, -0.1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2493*f**3*g + 19*f**2*g + 3*f**2 - 4*g wrt f.\nAnswer: -14958*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183559 > 183560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 27373 - 9613. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 99*x - 2. Let i be p(2). Let j = 1305 - i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -898 + 903. Let q(f) = 1193*f**2 + 7*f + 1. Is q(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**2. Let u(z) = -9*z**2 + 49427*z. Determine u(s(t)).\nAnswer: -576*t**4 - 395416*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -962*o + 2076*o - 104927 - 664345 = 14610*o for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 543 or 542?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73441 is divided by 159?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**6\/180 - k**5\/60 - k**4\/8 + k**3 + k. Let s(c) be the second derivative of m(c). Calculate s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -203 or -1416\/7?\nAnswer: -1416\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtatastjsaawakaas. Give prob of picking 1 s and 1 t.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:10 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 35. Is 2034\/14 - w\/(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10593 + 10595. Solve 2 = -f*w + 2*q, -3*w + q + 2 + 5 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + 2*z + 0*z)*(-3 + 6 + 5)*(-4 + 2 + 0 - 1 + 2 - 3 + (-6 + 2 + 2)*(6 - 3 - 1) + 20 + 3 + 5) as y*z + v and give y.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 853448 or 853451?\nAnswer: 853451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 18*x - 34*x + 15*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 352729 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*z - 12 = -3*f, 2*z + 13 = 3*f. Differentiate 4*c + 2*c + 0*c + 2 + f wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -103443?\nAnswer: 103444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2623*j**3 + 2136*j**3 - 1445*j**3 + 729*j**3.\nAnswer: 4043*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b**4 + 1205*b**3 - 4580*b**2 + 3380*b + 1680 = 0 for b.\nAnswer: -84, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 - -10.4. What is the nearest to 1 in 1\/2, -2\/5, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-3) + 2\/6. Let m(o) = 5*o. Let p be m(1). Let t = p + 6. What is the greatest common divisor of l and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgsmefsysygyse. Give prob of sequence eg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 2}. Give prob of sequence ly.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48209 and 55664?\nAnswer: 5399408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/161733 + 970408\/808665. Determine b, given that 6*b + g*b**3 + 27\/5*b**2 + 9\/5 = 0.\nAnswer: -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - l**2 - 2*l**2)*(6 - 3 - 1) + 106*l**2 - 376*l**2 - 263*l**2 - 1 - 1 - 9*l**2 + 3*l**2.\nAnswer: -535*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76306 = -3*b + 111407. Suppose 2*g + 6598 = -30544. Let x = g + b. Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.5 + -0.6. Let n = 28.03 + -12.03. Let s = k + n. Which is smaller: s or 0.18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229332 and 3828.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -12968*z - 855970. Calculate f(-66).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 213.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -83, -172, -295?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*i - 3*j - 56, -4*j - 12 = 0. Suppose l + 0*l = -5*y + i, 5*l - 3*y - 98 = 0. Let d = 3578 + -3558. Are l and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 606. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.58687 - -8.41283. Let s = -717 + 728. Let m = v - s. What is m rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -19*a. Let y(w) = 240 - 484 + w**2 + 244. Determine y(t(k)).\nAnswer: 361*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/(-4 + -5)*1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1484\/21)\/(((-10)\/(-3))\/10). What is the greatest common factor of v and 21094?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12062434*b**2*h**2 + 482*b*h**2 + 109*h**2 + 6*h wrt b.\nAnswer: 24124868*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39529922, 79059843, 118589764?\n\"Answer: 39529921*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 - (-1)\/(4\/8). Let k be (15\/y)\/(3\/12). Suppose 0 = 2*z - k*q - 48, z + 4*q = 2*q + 42. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28b22 (base 12) to base 8\nAnswer: -157112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (1 - (-1 + 8 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23783 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.637 * -3\nAnswer: 1.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 323983395 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msojsosmsnmonnomjmo. What is prob of picking 1 j, 1 n, and 1 o?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61564 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/((sqrt(288) - (sqrt(288) + (sqrt(288) - (sqrt(288) - -1*sqrt(288)))) - sqrt(288)) + sqrt(2)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 + 92*o + 218. What is v(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*o + 2*j + 290, 2*o - 550 = -0*j - 5*j - 757 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -63794\/3, 5\/2, 38 in descending order.\nAnswer: 38, 5\/2, -1, -63794\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*w + 75 = 0, j - 7 = w + 5. Let t(y) be the second derivative of -y**3\/6 + 17*y**2\/2 + 99*y. What is the remainder when 13 is divided by t(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 415 = -2*y. Let w = 78 + y. Suppose -c + w = 3*d - 270, 0 = d - c - 141. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14459821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-123)\/(-39) - (-2)\/(-13). Find the second derivative of 6*b**5 + 3*b**k - 21*b**5 - 3*b**3 + 17*b wrt b.\nAnswer: -300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/48773 and 89\/3886.\nAnswer: 189531878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 15. Let q(m) = 1. Let c(j) = -2*q(j) + z(j). Let x be c(-9). Solve x + 2 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*s = 0, 0 = 3*f - s + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -633461 (base 9) in base 10?\nAnswer: -376543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5)\/(-7) - 74\/(-1554)*-1224.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, -5, 35366, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 289 in 0.4, 23, -0.2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724044, 724596, 725148?\nAnswer: 725700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -7*m**4\/24 + m**3\/6 + m**2 - 2. Let i(j) be the second derivative of v(j). Let c(x) = -8*x + 1. Give 5*c(h) - 6*i(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115183 rounded to the nearest one thousand?\nAnswer: 1115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72065 or 8.782?\nAnswer: -72065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 2, 65, -5 in increasing order.\nAnswer: -5, 0, 2, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118513453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*v + 4*v. Suppose x = -2*u + 2, -v*u + 13 = -x - 0*x. Solve -6 - 3 = u*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.7 or 63324.21?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 4*a**2 + 7*a - 5. Let u be q(4). Let n = u - 15. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {k: 1, j: 5, x: 12}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211380 and 2130180.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + c + 319, 0*b - 801 = -5*b - c. Let w = 514 - 504. What is the highest common divisor of w and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) - (-1396)\/36. Let f = -44 + c. Put -1, 2, -4, f in decreasing order.\nAnswer: 2, -1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/198)\/((-6)\/(-18)). Factor -2\/11*b**2 + 0*b**3 + q*b**4 + 0 + 0*b.\nAnswer: 2*b**2*(b - 1)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -688, -745, -790, -823, -844, -853?\n\"Answer: 6*z**2 - 75*z - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 23 (b) 3\/5 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -34209?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1680316 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79099733?\nAnswer: 29, 2727577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 + 1066\/(-1290). Let v = 4\/43 + f. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 2930 + 7*d**2 + 2933 - 2*d**4 - 5861 - 53*d**3 to the form x + i*d**2 + s*d + u*d**4 + p*d**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(17\/34). Which is the fourth biggest value? (a) l (b) 1 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e7 (base 15) in base 11?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/46? (a) -1\/163 (b) -56 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 511 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 23\/3*m**3 + 0*m + 33 + 6*m**2. Find the second derivative of y(r) wrt r.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/359, 17, 120 in increasing order.\nAnswer: -3\/359, 17, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -13\/3*a**3 - 1\/12*a**4 - 19*a**2 + 2*a + 0. What is b(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 40 = 756*h - 752*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l. Let x be (-11 + 5)\/6*1. Let o(j) = -1. Let f(r) = 3*r + 2. Let w(s) = x*f(s) - 2*o(s). Calculate m(w(n)).\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 9:35 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -257*j**3\/3 - 9*j**2\/2 - 80*j + 2. List the prime factors of u(-2).\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l + 2*l**4 - 5*l**2 + 2*l**2 + 9*l**2 in the form x*l**3 + d*l**4 + n*l + k + p*l**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 100. Let m(f) = 3*f**2 - 73*f + 102. Let v be m(23). Solve d = v*o - 8 - 42 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4080124 and 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 4 (b) 1\/69 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114294342 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 434*d**2. Let p(j) = 80*j**2 + 2. Give p(r(m)).\nAnswer: 15068480*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/5 + 4341*k**2\/5 = 0. Calculate k.\nAnswer: -4341, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 - 4*v - 4. List the prime factors of f(-3).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44920739 = -10*u + 44919789 for u.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1766882, -3533743, -5300590, -7067417, -8834218, -10600987, -12367718, -14134405?\nAnswer: -15901042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -381*r - 1312. List the prime factors of f(-29).\nAnswer: 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1159 - -1164. Let p = 135 - 90. What is the highest common factor of p and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -28*l + 2. Let p(q) = 107*q**2. Calculate p(v(o)).\nAnswer: 83888*o**2 - 11984*o + 428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + 54 + (16 - 27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3233, 4\/5, 0.1, -5, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -151, -325, -559, -847, -1183, -1561, -1975?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 - 33\/12. Let i(s) = 5*s**2 + 3*s + 3. Let z(v) = 9*v + v - 2*v + 2*v + 16*v**2 + 10 + 0*v. Determine b*z(y) + 10*i(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10875 and 580?\nAnswer: 43500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Suppose 2*u = -2*d - 40, 3*d + k*u = -2*d - 103. Let q = 41 + d. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -0.5569021.\nAnswer: -5.4430979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**4\/24 - 7*p**3\/6 - 2*p**2 - 5. Let s be j(9). Solve -s*b - 3*x + 15 = 0, 0*b + b + 3*x - 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 107. Let n = o + 53.8. What is the nearest to 1 in -0.1, -3, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 33*t - 93*t + 34*t + 28*t + t**2 + 4. Calculate g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 62. Let z = 44 - y. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24574930 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32033112 (base 5) in base 15?\nAnswer: -545a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27412\/66)\/(-89)*5\/(35\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.1, -9, -40595?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**6\/360 - o**5\/90 + o**4\/72 + 3*o**2 - o. Let w(u) be the first derivative of r(u). Factor w(g).\nAnswer: g*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 875 + -805. What is the lowest common multiple of t and 49?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*t**3 + 420*t**2 - 1075*t + 500.\nAnswer: 5*(t + 4)*(6*t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.5 - -3.5. Let o = 652 - 636.35. Let u = o + p. Round u to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = 12. Let c(o) = -o - 1. Let a(i) = i**2 + 7*i + 7. Calculate y*a(v) - 21*c(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**3 - 5*k**2 + 7*k + 5. Let j be -2 - (-7 + (2 - 2)). Let f(h) = 132*h + 4 - 3 + 5*h**3 + 8*h**2 - 9 - 143*h. Determine j*f(t) + 8*z(t).\nAnswer: t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -108. What is the remainder when h is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*161\/(-26910)*6.\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1\/2, -9, 5, 5\/2, 6 in increasing order.\nAnswer: -9, 1\/2, 5\/2, 5, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express -1030*o**2 - 1030*o**2 + 2061*o**2 - 648 as v*o + i*o**2 + m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*y + 24, -y = 4 + 1. Let l = -15 - -16. Solve b*i = 2*i - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Suppose -5*y + a*y**4 + 2 + 10*y**3 + 3*y**5 - 4*y**2 - 3*y**4 - 8*y**5 = 0. What is y?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4466 and 1?\nAnswer: 4466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215319*w + 215320*w = 5*b + 40, 4*b + w + 23 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((147\/(-6))\/(98\/(-56)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 119. Suppose i - 5*k = f, -156 = -3*i - 5*k + 4*k. Suppose 0 = -3*n - t + 92, -5*t = n - 1 - i. Calculate the remainder when n is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/4214 and 24\/343.\nAnswer: 29498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.93473 and 1978563.\nAnswer: 1978562.06527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/18)*o*o\/o**8 assuming o is positive.\nAnswer: o**(-91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704) + 1 + sqrt(704))**2.\nAnswer: 32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(18))**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/30 - (-87)\/((-39672)\/304).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (0 + -1) - (-5566 + 5586)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13464431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*n - 3*n = 649, -3*n - 159 = -o. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:07 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 203250 - 220?\nAnswer: 203030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 66. Let g = 42.57 - a. Let d = g + -0.806. What is d rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68229 divided by 63.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 36356877.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(5*sqrt(120)\/sqrt(10) + sqrt(12)) + sqrt(76)*4*-2)**2.\nAnswer: 171475\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 13 (b) 1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -49, 5.\nAnswer: -49, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*j - 3*h + 7*h, -2 = -2*h. Which is the second biggest value? (a) 3 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = -2. Let p(z) = 3*z - 1. Let v be p(t). Let w be (3 - 0)\/((-6)\/v). Solve 0*m + w = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9724 or 9639?\nAnswer: 9639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -113. Let q be 70\/(-22) - ((-30)\/(-33))\/(-5). Let i be q*-3*(-4)\/72. Which is the fourth smallest value? (a) 0.4 (b) k (c) -0.1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6207, -12430, -18665, -24918, -31195, -37502, -43845?\nAnswer: -50230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(-4*(sqrt(228)*3 + sqrt(228) - sqrt(228)) + sqrt(228)))\/((sqrt(96) + -2*-2*sqrt(96) + sqrt(96))\/sqrt(8)).\nAnswer: -55*sqrt(19)\/6 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z - 5 - 2 + 2*z**2 + 6 + z in the form i*z**2 + w*z + x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1046 - -1051. What is the second biggest value in 30, 2\/7, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 9:10 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -1 + -36 + 0 - -1. Let u = 42 + r. Solve -11 = -u*l + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -2759, -9301, -22037, -43031, -74347, -118049?\nAnswer: -176201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -2*a**3\/9 + 136*a**2\/3 + 274*a\/3 - 1503. Solve p(z) = 0 for z.\nAnswer: -1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uun when three letters picked without replacement from uuunnunhnhh.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 4. Let h be m(4). Suppose 6 = -h*i + 2*i. Suppose -b - i*b + 12 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -604800 + 306029261\/506. Let w = p - 22\/23. What is the closest to -2\/3 in 0, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n. Let j(p) be the first derivative of -4*p**3 + 2. What is f(j(g))?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2302 * -0.1.\nAnswer: -230.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.6835 kilograms in nanograms?\nAnswer: 266683500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.52 * -0.5\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4408538 to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Calculate g(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -18415047 > -18415035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 906*w + 49567*w**2 - 906*w.\nAnswer: 49567*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**2 + 9*r. Let t = 13 + -11. Suppose l + t*l - 6 = 0. Let u(d) = -5*d + 0*d**l + 0*d + d + 4*d**2. Calculate -6*h(w) - 13*u(w).\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 142402 (base 5) to base 15\nAnswer: 1b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-18) + 0 + 0. What is the second biggest value in u, 0.2, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 24*x**2 - 857*x + 20578. Let h be l(24). Let f be 3\/6 - (-999)\/2. What is the greatest common divisor of h and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*i - 99*i - 2010 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/(38\/190*1*-13)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45403 = 90*l + 191*l - 14450. Calculate the lowest common multiple of 33 and l.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-15))\/((-2)\/(-5)). Suppose 4*k + 4 = b*m, -7*k = -m - 3*k - 8. Suppose v - m - 2 = 0. Solve 2*h + 4 = -v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 1 - 125*t**3 + 47*t**3 - 30*t**2 + 33*t**2 - 31*t wrt t.\nAnswer: -468*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -217570866?\nAnswer: -5\/217570866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116470 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 7*b + 2 + 6*b. Let i(d) = -4*d - 8. Calculate 2*i(s) + 9*x(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15908 divided by 3977.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:53 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3265 = 838*g - 1374 - 2903 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 7*z**2 + 3*z - 8. Let m be 2\/(-10) + 39\/(-5). Calculate the remainder when v(m) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3*c + 20, 5*o + 7*c - 25 = 4*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -3\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25118.\nAnswer: 2, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 8:57 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5760 and 14580?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*f - 75126 = -19*f. List the prime factors of f.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 93, 873, -1\/4, -16\/5, -4 in increasing order.\nAnswer: -4, -16\/5, -1\/2, -1\/4, 93, 873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.18 - -21. Let b = 0.535 - 0.255. Let m = b + h. Sort 0.2, -1, m in ascending order.\nAnswer: -1, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 762 = -64*a - 58*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8848 and 3136.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 64. Solve -3*a - 9 - 1 = -2*z, -2*z - w*a + 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4579839 divided by 11.\nAnswer: 416349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4\/4 + 472305*a**3\/4 - 20786853*a**2\/4 + 59054379*a\/4 - 19369917\/2 = 0.\nAnswer: -157479, 1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16782*l**3 - 37*l**4 + 16783*l**3 + 109*l**4)*(3*l + l - 2*l).\nAnswer: 144*l**5 + 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwkwwowwwwwwwkwwok. Give prob of picking 1 w and 1 o.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/180 - t**5\/18 + t**4\/18 + 8*t**3\/9 - 27*t**2. Factor g(w).\nAnswer: 2*(w - 4)*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/6)\/c*c)\/c*c**(-6)\/c*(c**(1\/4)*c)**20)**(3\/49))**(-3\/4) assuming c is positive.\nAnswer: c**(-303\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 8:37 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 1:57 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 6*h + 6. Let u(b) = -2*b**2 - 13*b + 13. Suppose 3*a + 6 = 3*l, 0 = -a - a + l - 8. Give a*u(f) + 13*c(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 - 3*w - 66 - 69 - 3*w.\nAnswer: -6*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 6*c**3 - 6*c**3 - 34.\nAnswer: -12*c**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31154557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 26*p - 1054. Let g be f(-48). Let i(j) = -j**2 - 2*j + 1. Let t be i(2). What is the closest to t in -1\/2, g, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2720 + -410587?\nAnswer: -406767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2130 and 79\/615?\nAnswer: 87330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -195 - 140. Let o = p + -47. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200748422 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412 + 1133243?\nAnswer: 1132331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3603920710823\/162726564 + 7\/7748884. Let b = 68306\/3 + x. Let q = b - 629. What is the common denominator of -89\/4 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49\/2 or 38277?\nAnswer: 38277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -1 (c) 1\/4 (d) 0.5 (e) 30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnqnnnnnnnqnnnnn.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12\/o)\/o**21*(o**9*o)\/(o**(3\/4)*o) assuming o is positive.\nAnswer: o**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:15 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 5*o - 36 = 0. Suppose -o = -4*a + a. Find the second derivative of -11*d**4 + 12*d + 5 - 5 + a*d wrt d.\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = 0, 0 = 4*t + 5*q - 1706 - 963. Suppose -m + 3*h - t = -5*m, -2*m = 4*h - 338. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -44?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-15*34\/(-2295))\/((-2661)\/243 - -11)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 537219668 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfxnnfxxxnxnffxy. What is prob of sequence xf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1831, 1847, 1889, 1969, 2099, 2291?\n\"Answer: 2*w**3 + w**2 - w + 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 48 = 57*q + 49. Let j(z) = 2*z**3 + 3*z**2 + 7*z + 6. Determine j(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -484052.\nAnswer: 484050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181 - -99. Let b = 124 + f. Calculate the smallest common multiple of 10 and b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -985 + 984. Let y(r) = r**3 + r + 3. Let i(z) = 344*z**3 + 325*z**2 - 5*z - 15. Let w(q) = n*i(q) - 5*y(q). What is the third derivative of w(c) wrt c?\nAnswer: -2094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 + 2*m + 1. Let f be c(-8). Let s = f - -17. Find h, given that 21*h**3 + 15*h**4 - h + 0*h - 11*h + 12 - 9*h**5 - 27*h**s + 0 = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/3)*b*(b**4*b)\/b)\/((b\/b**(-1)*b)\/(b*b**(1\/3))) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 2. Let i be z(-2). Let p(q) = -q**3 + 7*q**2 - 2*q - 8. Let v be p(6). List the prime factors of -4*i\/(v\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*k**2 + 702\/5 + 123\/5*k = 0.\nAnswer: -117, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 9:33 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -791753, -1583526, -2375299, -3167072, -3958845, -4750618?\n\"Answer: -791773*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40289.000133551 - -40289. Round q to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 2*p. Suppose -3*h = -6, 10 = d - 0*d + 5*h. Suppose d = -5*b - 0*r + 2*r, -17 = 4*b - 5*r. Calculate s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*v + 1, -110*o = -3*v - 114*o - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 - -74. Suppose 3*x = -x + a. What is the common denominator of 16\/54*x\/(-8) and -55\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51112748 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-9 - -4) - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)\/(1\/2) + 0. Suppose 3*s - 6 = 3*c, -s - 10 = -6*s + c. Suppose o - s - n = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 + 209*d**2\/6 + d\/6 - 209\/6.\nAnswer: -(d - 209)*(d - 1)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78570 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880588 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: Express (-3 + 3 - 2*p)*(7*p + 7 - 7*p + 2*p**3) in the form o*p**4 + k*p**2 + m + i*p + l*p**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(5\/30). Suppose 19 = -4*g - o + 50, 0 = 3*g - p*o - 27. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 3:48 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*m - 1 = 9, -2*m = 5*r + 4. Let n be (-137)\/9 - r\/9. Let o be (-70)\/n + 2\/(-3). Solve 0 = -2*i - 3*l - 2 - 10, -4*i + l = -o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + 0*f**2 + 6*f**2)*(4 - f - 4) - 2*f**3 + 0*f**3 + 5*f**3 as y*f**3 + a + b*f + g*f**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321008976 and 11124.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/28992520 and 67\/57985040?\nAnswer: 57985040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1128 take away -431219767701?\nAnswer: 431219767700.8872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f + 1016*f**2 - 6 + 3*f - 1015*f**2. What is p(5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*h - 37*h + 128*h + 8225*h**2 - 8260*h**2.\nAnswer: -35*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-120)\/550 + 1\/11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 31*i**2 + 18*i - 27. Let u be j(16). Suppose 2*r + 10 = -4*n + 36, u*n - 35 = -3*r. Solve 0 = -2*o + r - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -9 (c) 716\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 22?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:02 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 4215*f**2 + 5922075*f - 2773505125.\nAnswer: (f - 1405)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eameeeaea. What is prob of sequence maa?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/12)\/(8\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9287.989 and 0.5.\nAnswer: -4643.9945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f. Let p(w) = -3*w**2 - 8450*w + 5. Determine r(p(m)).\nAnswer: 12*m**2 + 33800*m - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-54)*(-3432)\/5434.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.08142.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4\/18 + (-55552)\/(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) 244 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/5157 and -50\/27.\nAnswer: 5157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*r - 5*t - 34, 5*r - 13 = t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 4*j - 1. Does 17 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 11) to base 8.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*6\/144)\/(68\/(-48)*(-42)\/357)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -64, -138, -150, -46, 228, 726?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 21*t. Let w be h(1). Suppose 5*r = -3*d - 14 + 49, -4*r + w = d. Suppose d*m = -4*p + 51 + 112, 3*p = -5*m + 126. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6\/((b*b*b\/(b\/(b**(-6)*b)))\/b)*b**(2\/11)*b*(b\/b**5)\/b assuming b is positive.\nAnswer: b**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139860859 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 184 - 48 + 186 - 2*v.\nAnswer: -2*v + 263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34228426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -167 - 10?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -16 + (-2376)\/(-270) + 9)*-115?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/448*80*-2\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67584 and 3264.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001308 to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**4 + 1976432*a**2*w + 9145*w - 79 wrt a.\nAnswer: 16*a**3 + 3952864*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.2 (b) 11\/2317 (c) -0.116 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213304, -853258, -1919864, -3413122, -5333032?\nAnswer: -7679594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**4)\/h)\/h)\/h*h*h\/(h**(1\/11)\/h*h*h*h) assuming h is positive.\nAnswer: h**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672857?\nAnswer: 109, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 221671 and 5.\nAnswer: 1108355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*f = -5701 - 9707 + 1099 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.43 and 1\/24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 581123 (base 10) in base 7?\nAnswer: 4640144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -0.276 (c) -2 (d) -20 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m + 286 = -84 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x + 3*l = 559, -5*x = -5*l - 2775. Find the common denominator of (-4)\/(-16)*x\/18 and 41\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 167 - 19*c**2 - 81.\nAnswer: -19*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (160\/48)\/(4\/(-12))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21271111.\nAnswer: 43, 494677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-104)\/(-26) - (-172)\/(-42))*9. Suppose 7*k = 3*k - 8. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21255 + -5?\nAnswer: 21250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16610058 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 1, b: 2, o: 1, n: 1, t: 1}. Give prob of sequence toen.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + -47. Let k = 26 - f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51.641 and -10.22?\nAnswer: 527.77102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7537 is divided by 1807.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(4\/(-2))*((-465075)\/300)\/(-477).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 25*v**9\/504 + v**6\/60 + v**5\/60 + 17*v**3\/6 + 190*v**2. What is the third derivative of a(k) wrt k?\nAnswer: 3000*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 0*z + z**4 + 9*z**3 - 12*z**2 - 13*z + 15*z to y*z**3 + g*z + t + i*z**4 + d*z**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76685 and 798700.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*w = 27, -5*b - 2*w - 15 = -7*w. Solve b*v + 3*r = 22, -v - 4*r = -0*v - 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 408\/(-2550)*(-10)\/28. Which is the closest to -0.1? (a) z (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*l + 4*t - 0*t, -2*t - 10 = 0. Sort -4, -2\/23, l in increasing order.\nAnswer: -4, -2\/23, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*-5)\/(-4*sqrt(12)*-2).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-10)\/(1 - 3). Solve 9*s**4 - 5*s**5 + b*s**5 - 9*s**3 - 3*s**5 + 3*s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2) + (-24)\/12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18 = -2*m. Suppose 3*u - 3*v = 111, 0 = -m*u - u + 2*v + 140. What are the prime factors of (u\/(-55))\/(2\/(-40))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5883590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 429130 by -65.\nAnswer: -6602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1 (c) -8206\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 2 - (-2 - 0). Let u(k) be the second derivative of -k**3\/6 - k**2 - k - 4. Determine u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*p - 26. Suppose -5*r - p = -67. 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: Suppose 2*r - 3*z = 34, 9*z + 10 = r + 4*z. Suppose 2*i - 7*i + r = 0. Suppose 2 = -a - 0, 0 = i*x - 5*a - 22. Let j(g) = -g**2 + 4*g + 1. What is j(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 402045 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*g + 5*n, -4*g + 116 = 5*n - 6*n. Calculate the lowest common multiple of 100 and g.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -2\/3*n**3 + 15*n - 1\/10*n**5 + 0 + 5\/6*n**4 - 8*n**2. Factor p(u).\nAnswer: -2*(u - 4)*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * -6.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 173940771613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/17)\/g**(1\/5))\/(g**(2\/9)\/((g\/(g*g\/(g**(6\/11)\/g)*g))\/g)))\/((g**5\/(g*g**(-1\/10)))\/((g*g**(2\/7))\/g)**(-33)) assuming g is positive.\nAnswer: g**(-2036663\/117810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -o + 958, -916 + 334 = -3*d - 3*o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-312)\/10)\/((-203)\/(-35) - 6). Suppose 21 = -2*d - 4*h - 5, 43 = -4*d - 5*h. Let t = d + u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 23, 22, -11, -94, -245, -482?\n\"Answer: -3*l**3 + 11*l**2 + l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:41 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c4 (base 13) in base 8?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 2602 = 34*g + 10*g - 7694 for g.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 434 + -433.96982. Let c = 55 - 55.031. Let s = p + c. Round s to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251771256 to the power of 1\/3, to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161475 and 1830.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(4*-69))\/(21*(-32)\/(-4032))\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 16*q - 3. Calculate the remainder when h(9) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2719135 to the nearest integer?\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1357*v**2. Let a be b(-1). Let l = a + 439. Suppose -q = 3*q - l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1288 + -1258. Solve 0 = 3*v + 18 - s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 60*v**2 - 6*v - 9. Let u be q(-4). Suppose 0 = u*h - 978*h + 15. Solve -5*b = 2*j + 3, -4*b + 8 = -h*j + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -3*d**5\/20 - 5*d**4\/4 + 3*d**3 + 21*d. Determine a so that j(a) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*w**2 - 114*w**2 - 2 - 33*w - 7*w**3 + 219*w**2 + 33*w.\nAnswer: -7*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255940 = -2*t + 2581872. Suppose 372206 = -9*a + t. What is a rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -p - 7*d, p - 4*d = -10. Let x be (-150)\/(-50) - ((-2)\/p - -6). What is the common denominator of 113\/12 and x\/(-12) - 6*(-6)\/(-297)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 28*m + 8*m + 9114 = 0. Calculate the greatest common divisor of m and 3286.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/8 of a day?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22420, 22803, 23170, 23521, 23856, 24175?\n\"Answer: -8*n**2 + 407*n + 22021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from rowngwjgworrnrn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 1687200.\nAnswer: 1687200.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10360*h + 153*h**3 - 5187*h - 142*h**3 - 5173*h.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/(-6579))\/(24\/(-1224))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 4*i**5 + 4*i**3 - 4*i**5 + 6*i**5 + i**5 + i**5 - 3*i**2 + 3*i**2 + (2*i**4 - i**4 + 0*i**4)*(0*i - i - i).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7259 - -7264. Let r(h) be the third derivative of 0*h**3 + 5\/24*h**4 - 7\/20*h**j + 9*h**2 + 0 + 0*h. What is the second derivative of r(c) wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 15 = -0. Suppose 3*r - 15 = 0, x*r - 2*r = -4*f + 35. Solve -5*o**4 - 5 + 14*o + 2*o**f - 12*o**5 + 10*o**2 + 20*o**3 - 24*o = 0 for o.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103356 and 10324.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(200) + 5.\nAnswer: 5 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3730571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 47. Let f(l) = l**2 - 12*l - 1. Let d be f(13). Suppose 6*t - y*t = -d. Solve 4*j + t*o + 12 = 0, -2*o + 2 - 4 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 33*r**2 + 13*r - 406. Let k be t(33). Let d(m) be the first derivative of k + m**4 + 16*m - 8*m**2 - 4\/3*m**3. Factor d(z).\nAnswer: 4*(z - 2)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + -0.38. Let o = 2.6 - 6.3. Let p = o - -3.7. What is the nearest to p in k, -4, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c - 93*c - 22896 = 158*c + 13*c for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191509 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 4*q + 2 - 19, -5*g + 2*q - 11 = 0. Let o(l) = -l**3 + 2*l**2 + 4*l - 2. Let p be o(3). Let f = p - g. Solve -r - 3 = f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 19*g - 3. Let n(q) = 1. Calculate 3*n(k) + w(k).\nAnswer: 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336400 a multiple of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(20*-9)*(141960\/(-195))\/(-91)?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 16 + -18 - 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 9500.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 12. Suppose -a = -0*a + 5. List the prime factors of u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 5:39 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/30*(-4 + 6 + -82). Let z = n + -44. What is the common denominator of 26 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -1\/3, 9, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 + -15)\/(-25) + 9*10\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 + 0*b**2 - 2*b + 1 + 1255*b**3 - 1252*b**3 in the form j*b**3 + u*b + x + z*b**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481 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: Is 99 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(17\/4)\/(m**(-2\/3)*m*m*m**(-2\/21))*(m**(-7))**(-48) assuming m is positive.\nAnswer: m**(28477\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put -78\/7, 0.05, -1.3, 1\/4, 36 in decreasing order.\nAnswer: 36, 1\/4, 0.05, -1.3, -78\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 9316.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 545, 821, 1101, 1385, 1673?\nAnswer: 1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 9. Suppose 60 = -15*l + 45*l. Let k(s) = -458 - s**l + 458. What is w(k(i))?\nAnswer: -i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2581 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 33. Factor 2*n**2 + 2*n + r - 34.\nAnswer: 2*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -26*n - 2. Let d(j) = -9*j - 1. Let i(m) = -17*d(m) + 6*s(m). Give i(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1521589, 3043106, 4564623, 6086140, 7607657?\nAnswer: 9129174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*y = -28, 2*y = -3*p - 3*y - 13. Let c be 2\/p*(8 - 0). Suppose 4*k - 3*u - 829 = 0, 0 = -k - c*k + 5*u + 1030. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.331 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -2 + 5*(sqrt(6480) + -1)).\nAnswer: -60 + 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 9, j: 2, g: 1, p: 2, a: 3}. Give prob of sequence qgn.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*s, 5*z - 524*s - 22 = -527*s. Solve 8 = -z*x, -5*x + 48 - 80 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -340.\nAnswer: 31\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11122112 (base 3) to base 16\nAnswer: d3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 6. Let f be k(-11). Suppose f*p + 5 = 20. Suppose -p*g + 119 - 357 = -5*b, 2*b + 2*g = 92. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -11 + 100 + -21 + 32 + -9\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ssssjjjssss?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212210 + 2?\nAnswer: 212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2846*t + 4. Let k be b(0). Factor -1\/6*a**5 + 1\/3*a**2 - 1\/3*a**k + 0*a**3 + 1\/6*a + 0.\nAnswer: -a*(a - 1)*(a + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001355262 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 3*m**5\/20 + m**3\/6 - m**2\/2 - 1. Let h(v) be the second derivative of i(v). Is h(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -238*m - 29\/2*m**2 + 16. What is the first derivative of c(t) wrt t?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 5 + 5*q + 4 - 5. What is the remainder when i(6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22610 is divided by 6776?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2470\/((-234)\/9))\/((-5)\/7)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244494 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56a + -5?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 426.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/26 - 2502\/39. Calculate the common denominator of ((-1)\/2)\/((-27)\/(-6)) and -2*(-316)\/l - -4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 9*t**2 - 66*t + 4. Let d be p(4). Solve 3*y - d = 46*q - 49*q, 4*q = 4*y - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 3. Suppose -y + 5*y = 12. Let m be (12\/9)\/(y\/(-18)). Is g(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-75)*5)\/((-3)\/(-45))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-6)\/11 + 6861685\/595815\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8478.367 days in nanoseconds?\nAnswer: 732530908800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19852891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13 - 3*f**2 - 18 + 4*f - 2*f**2 + 3*f**2 + f**2. Give a(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.3 + -25.1. Round z to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m + 6. Let n be l(-5). Suppose -6*r + n = -3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.151 + 4.1. Let i = h + -0.107. What is i rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -s - 2, -45*s + 44*s = -3*t + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7122.\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*q - 26, 4*s + 12 + 22 = -5*q. Which is the closest to -0.052? (a) 5 (b) s (c) -3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 7:54 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -32289793 + -821\nAnswer: -32290614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2080182)\/9 + 1012\/759. Round p to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2934.984 microseconds?\nAnswer: 2.934984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 21.5. Put m, 4, -5 in increasing order.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43721579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 5. Let z(p) = -1. Let g(l) = -2*j(l) - 10*z(l). Let t be (9\/(-15))\/((-18)\/60). Let x(u) = u - u**t - u + 0*u. Give x(g(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + 734*o + 2119. Determine t(-144).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*z, -3 = -z + m - 2. Let r(f) = f**3 + 8*f**2 - 20*f + 40. Calculate the remainder when r(-10) is divided by 1 + z + -2 - -20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) 3 (c) -3\/7 (d) 9\/7 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(1261\/(-130) - -10). Let p(d) be the second derivative of -6*d + 0 - 2*d**4 - 2*d**u - 3\/4*d**5 + 0*d**2 - 1\/10*d**6. Let p(q) = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Let d(c) = -c**2 + 2. Let t be d(-2). Let y be 5 + -5 + (0 - t). Sort y, s, -4.\nAnswer: -4, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -16.4, -2157 in descending order.\nAnswer: 0.01, -16.4, -2157","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 138.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 23*n**3 + 27*n**3 - 5*n**2 + 2*n**2.\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3263958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*f = -0*r + 1037, 2*f + 2578 = -5*r. Let z = 1099 + r. Let y = -409 + z. List the prime factors of y.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59762995 divided by 11952599.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -927 or -787?\nAnswer: -927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.933482ml in litres?\nAnswer: 0.006933482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 252 = -5*d, 3*n + 0*d - 4*d - 756 = 0. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/10)\/b)\/b)**39 assuming b is positive.\nAnswer: b**(-663\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 - 160168*f**2 - 1603842160*f - 9617287776 = 0. Calculate f.\nAnswer: -20018, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308*g**4 - 2*g**2 + 2*g - 307*g**4 - 6*g**3 + 0*g - 5 + 4 to the form z + n*g**3 + l*g**2 + h*g + q*g**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11895475.\nAnswer: 5, 31, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 1 - 1) + 0. Suppose 4 = -4*b - 4. Let h = -2 - b. Put h, 3, k in increasing order.\nAnswer: k, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -11 - (91 - (39 + 17)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 8*a**2 + 6*a + 1. Calculate k(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000652 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -342, -67, 204, 471, 734, 993, 1248?\n\"Answer: -2*l**2 + 281*l - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641087696 to the nearest integer?\nAnswer: 25320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -2354369.\nAnswer: -1177184.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (10 - 4 - 21 - (2 - -2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - (-266189)\/(-165). Let t = 1614 + l. Factor t*p**2 - 4\/5*p - 6\/5.\nAnswer: 2*(p - 3)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9693)\/146472*(-68)\/132?\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*10*(2 - 60\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -16, -18?\n\"Answer: -2*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4)*708\/9. Suppose -2*n - 20 = -p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w**3 + w - 1. Let q be a(1). Let l = -5 + q. Let s be ((-10)\/(-4))\/(2\/12). What is the greatest common divisor of s and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 179 - 6 - q**3 - 60 - 6.\nAnswer: -q**3 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -312.8 - -312.798649. Round q to five decimal places.\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*j - 30 = -2*s, 3*s - 10 = -j. Let y = 15\/7 - 68\/35. Which is the closest to y? (a) -3 (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 403?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -12*w + 2, l + 9 - 2 = -77*w + 74*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 81. Let p = 82 + -57. Let k = p + i. What is the remainder when 21 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -30. Suppose -17*q + p*q - 6 = 0. What is the highest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 13*v + 20. Suppose -v*q = 2*q - 1956. Suppose 0 = 7*n - q - 444. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**2*v**3 - 46*i**2*v - 2*i**2 + 29*v**5 - 2*v wrt v.\nAnswer: 24*i**2*v + 580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -3135 and -3118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 (base 14) in base 8?\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 + 110?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33\/35? (a) 15 (b) 4 (c) -0.85 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = 3. Let f be 12*1*10\/3. Suppose -5*l + f = 3*o + 2*o, 0 = -4*l - 2*o + 34. Calculate the greatest common divisor of l and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 4*w + 2*o + 324, -4*o + 324 = 3*w. Let y = w - 102. Calculate the remainder when (1 - (-1)\/(-5))*20 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - 5. Let j be 2\/4 + -1 + (-4)\/(-8). What is the closest to x in j, 3, 0.7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018486 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, 109, 27, -3, 2, 1, 4 in increasing order.\nAnswer: -3, 1, 2, 4, 27, 106, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 23877712*f - 142536282588736.\nAnswer: -(f + 11938856)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21 + 7 + 25*q**4 - 2*q**4 + 8 wrt q.\nAnswer: 92*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 76295, 152638, 228981, 305324, 381667?\n\"Answer: 76343*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 - -0.018106.\nAnswer: 1.318106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -613, -1379, -2451, -3829, -5513?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 + -834699.\nAnswer: -834931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37\/2*(4 - 2). Let l(k) = -5*k + 3. Let c be l(4). Let n = c + s. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -53 (b) -26 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9178913.\nAnswer: 2207, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 2*j**2 + (j + 2 - 2)*(j + 1 - 1) - 6*j**2 + 4*j**2 + 4*j**2)*(1072*j + 449*j - 687*j).\nAnswer: 3336*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - o = 3320. Let c = o - -732. What are the prime factors of c?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 18*y + 44. Let h(c) = -311*c + 1. Let p be h(y). Suppose 5*r = p - 200. What are the prime factors of r?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118874 + -69622. What are the prime factors of y?\nAnswer: 2, 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 78. Let t = y + 18.2. Which is the nearest to t? (a) -1 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 6) to base 11.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*x = -4, 3*c - x - 1 = 11. Suppose -323 = -c*k + a, -7*k = -5*k - a - 159. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose x*a = -3*m - a + 48, -5*m + 76 = 3*a. Suppose -m = -s - 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -101201220102122010?\nAnswer: -101201220102122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.284 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 6. Determine m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 14. Let n(g) = 1. Let o(h) = c(h) - 3*n(h). Suppose -2*s + 5*s = 12. Calculate the smallest common multiple of s and o(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -608, -883, -1146, -1391?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17279641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 3, u: 1, d: 10, j: 4}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v**0\/v)))*v)**(-13\/5)\/((((v*v**4)\/v*v)\/v)\/v**(-1\/2)) assuming v is positive.\nAnswer: v**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + 18. Let t = -31 + d. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(2\/(-24))\/(-30 - 257\/(-9))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191.2 - 190.66. Which is greater: l or -56\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 164978.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 26, 0.07, 3\/10 in decreasing order.\nAnswer: 26, 3\/10, 2\/7, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*r - 28. Suppose 2*y - 3*c = 2 - 3, -r = y - 3*c. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -3a?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, -2, -35, -104, -221, -398, -647?\n\"Answer: -2*k**3 + 5*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 101*x**5\/10 + 20*x**3\/3 + 62*x. Find the second derivative of r(p) wrt p.\nAnswer: 1212*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 13*l**2 - 45*l - 182. What is the tens digit of v(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27320891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.506 - -2\nAnswer: -0.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98093.91 decades in months?\nAnswer: 11771269.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17)*4*1*1*-6)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + 1. Suppose -3*d = f, f - 3*f + 2*d = 16. Let j be (f\/9)\/((-1)\/(12\/(-8))). Determine k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-2265)\/(-3) + -4. Suppose w = -3*t - 19039. What is t rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55535\/5436 - 391\/151. Let s = m - -57\/4. Find the common denominator of (-2)\/(-72) + (-2)\/8 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 7*o**3 + 3*o**3)*(-1 + 0 + 0)*((0 - 2 + 3)*(2*o + 3 - 3) - 7*o - 24*o - 16*o).\nAnswer: -90*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2362 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 13*j. Let g be s(4). Suppose 3*x - 68 = g. Let b be (-12499 + (-3)\/3)*x. What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 3, f: 3, m: 3, b: 1, z: 7}. What is prob of sequence zzz?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 127. Let x be 17\/5 + (-4)\/10. Solve -x*k + 5 = -d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22154*v = -21804*v - 2100 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Let g(w) = -358*w. Calculate g(l(j)).\nAnswer: 358*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6*(-27)\/(-9). Solve -q + t*q = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = -0. What is a in 2*a**3 + a**i + 3*a - 6*a**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Suppose -2*m - 58 = -w, -9*m + 238 = 4*w - 11*m. What is the least common multiple of 4 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23555 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + (3 - 36\/(-8))*(-116)\/(-145). Which is the nearest to 33? (a) 9 (b) 1\/4 (c) 4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 4*j**2 - j**3 + 1 - 7 - 1 - 5*j = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-16)*4)\/((-21)\/16). What is the second biggest value in g, 2\/5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 63 + 35 + 11*i**2.\nAnswer: 11*i**2 + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14990 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4232, -1, -2\/19 in descending order.\nAnswer: -1\/4232, -2\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.749*0.2\nAnswer: -0.1498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/155050 and 97\/22.\nAnswer: 1705550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-15))\/((-2)\/15). Suppose -25 = w*z - 95. Solve -z = -2*y - 4*k, 4*y - 3 = -5*k + 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 4. Let g(r) = -2678*r**2 + 4125. Let n(l) = -g(l) + 5*x(l). What is the derivative of n(o) wrt o?\nAnswer: 5346*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 - 6*z**3 - z**3 - 2*z**3 + 2*z**2 - 27*z + 16*z**3 - 6*z**3 to the form f*z + i*z**4 + u + x*z**2 + s*z**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 11. Let l = 6.5 + p. Which is the biggest value? (a) -0.3 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949062?\nAnswer: 2, 3, 367, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42886580.\nAnswer: 2, 5, 11, 17, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2315506.788 rounded to the nearest one thousand?\nAnswer: -2316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 135667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2532024 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 2, 0.102, -2\/7, 2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(-1 + sqrt(468) - sqrt(468))**2 + -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 17. Calculate b(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7353390*k**2*t**2 + 2*t**2 + 2695771 wrt k.\nAnswer: 14706780*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:53 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmftlttmlmmtllltflf. What is prob of picking 1 t, 1 m, and 1 f?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -2, -3\/4, -1, -1078?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*((-3330)\/(-117) + -28). Let j be (-34)\/35 - (-3 - -2). Let a = 6\/35 + j. Sort t, a, 0.3.\nAnswer: t, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c, 3*b - 12 = -4*c. Suppose k - 8 = b. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/360 + 2*u**5\/45 + 13*u**4\/72 + u**3\/3 + 398*u**2. Factor w(n).\nAnswer: (n + 1)**2*(n + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -29*n**2 - 10*n + 21. What is f(2)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b*f*o - 91153*b*f + 410348*b*o + 2*b wrt f.\nAnswer: -6*b*o - 91153*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 3*c - 30. Let u be (-3)\/9 - 4\/c. Is u <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - 95. Let r = 130 + q. Is 5 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 13*t**3 - 44*t**3 - 16*t**3.\nAnswer: -73*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -27. Let d = 3 - 3. Let u be (-12)\/6 + (d - -6). Solve 4*x + 5*r + 16 = g, -3*x + u = -r - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 + s - 1. Let f be (-9)\/(-12) - 46\/8. Is b(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.2871 seconds to nanoseconds.\nAnswer: 464287100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, y: 4, o: 1, b: 5}. What is prob of sequence yvov?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 0*c)*(-2 - 2*c + 2) + 88*c + 51*c**2 - 88*c.\nAnswer: 55*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 18*m = 155 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 46110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*3*-5)\/(5*(-2*sqrt(21)\/sqrt(3) + sqrt(7))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Let f be s\/6 - (-4)\/3. Let u = -1 + f. Solve 1 + u = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3.18 (b) -50\/19 (c) -13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2371*l + 2387. What are the prime factors of y(-14)?\nAnswer: 7, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2962*r - 333331 - 251199 = -8451*r - 134432 for r.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17828739 and 12141?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18353.6569 less than -0.5?\nAnswer: 18353.1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.1 (b) 1\/21 (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let r be u(-2). Solve 0 = 5*v - r*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/16 and -1*13*7\/(-70).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y. Let t be (-35)\/14 + (-3 - (-85)\/10). Let m(g) be the second derivative of -1\/6*g**t + 0*g**2 + 9*g + 0. Determine v(m(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 454977, 454988, 455003, 455022, 455045, 455072, 455103?\n\"Answer: 2*h**2 + 5*h + 454970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - (17 + 4)) + -2 + 1 - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 6) + -71 + 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*g - 44*g - 88*g - 13*q + 150 = -2*q, -2*g - 100 = q for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -32*n + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 27. Suppose -4*n + 14 = 2*g + g, 5*n - 25 = 0. Is (g - (0 - f)) + 15 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/6460*-17*-2*(-1)\/800. Are p and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 28*l - 220, j + 18 = -4*l - 25 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.0659?\nAnswer: -0.1318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5398, 11332, 17266, 23200?\nAnswer: 29134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5307825 rounded to four dps?\nAnswer: -0.5308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:16 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 406.3365 + -1.6565. What is y rounded to zero decimal places?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + d**2 + 6264*d**3 - 12050*d**3 + 6802*d**3 - 2 to the form z*d**2 + g + p*d + v*d**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i - i + i**2 - 3 + 2. Suppose 2*c - 3 = 3. What is the units digit of f(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -524616 divided by -14\nAnswer: 262308\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = 1. Let d(j) = -2*j**3 + 3. Let i(r) = r - 5. Let g be i(0). Let a(c) = -c - 2. Let v be a(g). Let n(s) = 3*s**3 - 4. Determine m*d(o) + v*n(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -10074, 202, -2 in decreasing order.\nAnswer: 202, -2, -10074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354403127, 708806254, 1063209381, 1417612508?\nAnswer: 1772015635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v + 2. Let l(t) = t**2 + t + 1. Suppose 6 = -4*o + 7*o, 0 = 5*r + 4*o - 33. What is the least common multiple of l(v) and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**2 - 208*j - 135. Determine l(-27).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 536 by 134.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 50 = -2*c, -3*v = -5*c - 0*v + 93. What is the highest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 7*(-15)\/(-35)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 - 8. Suppose -3*r = -m + 3, -r - 2*r = -2*m - 6. Let j be (-42)\/(-4)*(-12)\/m. Calculate the highest common divisor of j and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -849 + 883 + (6 - -15) + -5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/13, 1\/5, -0.4, 17 in decreasing order.\nAnswer: 17, 4\/13, 1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 7:09 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1590 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -114358, -114363, -114368, -114373, -114378?\n\"Answer: -5*w - 114353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4035, 4036, 4037, 4038?\nAnswer: 4039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(2*z - 3*z - 3*z) + z - z - z - 5*z + 13*z + 21*z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -375*v**2 + 193*v**2 + 184*v**2. Let o(z) = 157 - 252 + 95 + 201*z. Give q(o(x)).\nAnswer: 80802*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4447588116.\nAnswer: 2, 3, 2081, 178103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 10. Let l be t(-7). Suppose l*d - 8 - 12 = 0. Which is the third smallest value? (a) -0.2 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-6 - 7456\/(-746)) - 6. Let a = -1 - -2. Is a less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 30 = 46. Let f = s - -52. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = 12. Suppose -2*d = -x + 38, -d + 4*d = g*x - 51. Let k = -15 - d. Solve -l + k = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 - 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p - 2. Suppose 2*d + 8 = -5*v - d, 0 = -5*v + 4*d - 36. Let t be y(v). Let c = t + -15. Solve -3 = -0*x + c*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/120 + a**5\/15 + a**4\/12 - a**3\/6 + 7*a**2. Let z be w(-3). Solve -z*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from ffuggfuuff.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 15*z**2 - 13*z + 7. Determine p(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-8) - 252\/42?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 5*r - 2*r)*(1 - 2 + 2)*(93 + 31 + 15) as t*r + h and give t.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14733541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -129. Calculate the remainder when (o\/(-6))\/(3\/6) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 9*k**2 + 8*k + 6. Let a be z(-8). Let i be (-25 + 8)\/(20\/352). Let j = i - -306. Is j not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4339 - 4341. Which is the nearest to 12? (a) d (b) 4 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-404)\/34 + (-4)\/34. Let v = 87\/7 + t. Which is the second smallest value? (a) -2 (b) -0.5 (c) v (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8271 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312.2324t to nanograms.\nAnswer: 312232400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -48.9. Let q = z + 1.1. Let m be 0 + (-4)\/2 + 1. What is the closest to q in 0.5, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 - 145. Calculate the remainder when r is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.01, 3, 0.4, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*f**4 - f + f - 22*f wrt f.\nAnswer: 372*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1274) - (sqrt(1274) - (sqrt(1274) - 2*sqrt(1274)) - sqrt(1274))) + sqrt(26) - sqrt(26))*-6*2)\/(sqrt(128)\/sqrt(16) - sqrt(288)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201211 + 12?\nAnswer: -11201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146458 and 45064.\nAnswer: 585832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0 + 0*h - 201*h**2 - 1\/28*h**4 - 1\/490*h**7 + 0*h**6 + 0*h**3 + 3\/140*h**5. Factor n(b).\nAnswer: -3*b*(b - 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-495)\/(-44)) + 57\/132.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = 2*b, 0*b - 3*b = 4*d - 23. What is the nearest to -0.7 in -4\/7, 0.5, b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-143)\/572)\/((-2)\/(-132))*20\/(-3). Solve 0 = t - j + 108 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 50759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2 - t - 4875*t**2 + 9753*t**2 - 4876*t**2. Let m(p) = -2*p**2 + 2*p + 2. What is 6*m(y) + 5*v(y)?\nAnswer: -2*y**2 + 7*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 225, 207, 189?\n\"Answer: -18*r + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t + 6. Suppose 0 = 4*u + j - 124, 2*j = u + 4*u - 155. Let s = u - 29. Solve -t*w + 9 = 5*c + s, -3*w = 4*c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -26 - (0 + 0) - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-9))\/(1 + -3). Let j = 2.4 + -0.4. Let m = -0.2915 + 0.1915. Sort -2\/3, j, l, m in decreasing order.\nAnswer: j, m, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k = -5*i + 65, -5*k = -5*i - 15. Solve -k*v + 6*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 999 (b) 0.3 (c) -0.2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 34, 77, 144, 241?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3359975 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 3*o**2 + 5*o - 7. Let t(p) = p**3 - 3*p - 3. Let x be t(-2). Let m be n(x). Is m\/12 - (-1203)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/7931384 and -35\/176968.\nAnswer: 87245224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v. Let x be (2\/(1 + v))\/(-1). Is 0 + (x - -1) - -68 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99) + -1.\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1598357 is divided by 451.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.543 - -0.257. Sort -0.2, a, 2\/7 in decreasing order.\nAnswer: a, 2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1467900 by -5.\nAnswer: -293580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 278224.9 centimeters?\nAnswer: 2782.249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose 4*u - 18 = -j*h, 4*u + 3*h = h + 16. Suppose -2004 = -u*x + 9996. What is x rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12294 or 12286?\nAnswer: 12294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s**2 - 12010*s - 24068 = 0. What is s?\nAnswer: -2, 6017\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - g**2 + 130. Is 34 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2884 - -2884. Solve w = 70*i - 62*i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a minute in seconds?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5 + 12273*g**4 - 418547*g**3 - 1341537*g**2 - 910718*g = 0.\nAnswer: -12307, -2, -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 7 = -3*u, n + 3*n = -5*u - 17. Suppose -3*j - m = -101, -n*m + 6*m = -5*j + 180. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 3*v**2\/2 - 3*v - 373. Calculate b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-r + 4*r - r) + 6 + 2 - r - 4.\nAnswer: -5*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t - 0. Let f = t + 7. Let y be (23 - -2)\/1 - f. Solve 2*x + 2*x - 18 = -q, 3*x - y = 4*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1544 and -2246.\nAnswer: -2246.1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 118.95. Which is bigger: 0.03 or t?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**6\/50 - 3*d**5\/100 + 6*d. Factor i(y).\nAnswer: 3*y**3*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7530 rounded to the nearest one hundred?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39448.1 centuries in months?\nAnswer: 47337720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3864308.\nAnswer: 2, 7, 29, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 708671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.01 (b) 5 (c) -2 (d) -211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -302\/2464551 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 66224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5380 is divided by 224.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 2 - 4*o + 4)*(-1 - 3 + 2)*(0*o + 3*o + 0*o)*(0 - 2 + 1).\nAnswer: 12*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 21. Suppose 2*l + l + 11 = -4*r, -5*r = -l - f. Calculate the greatest common factor of 3 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 25 = 93 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83125 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-14)*(13 - -22800) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3686819.\nAnswer: 293, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55352.\nAnswer: 2, 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-8)*(-16)\/360*-9\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 3:48 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 8*j - 5. Let v(q) be the second derivative of q**4\/12 - 3*q**3\/2 - 7*q**2\/2 + 12*q. Let o be v(9). Calculate d(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 181*h**2 - 3854*h - 407. Determine j(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -86. Let u be (-1)\/2 + (-15)\/(-2). Let b = u + 2. Calculate the highest common factor of l and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-21)*r*r**(-2\/3) assuming r is positive.\nAnswer: r**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5434646816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + (1 - -2) + (5 - -122).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -4.5943\nAnswer: 0.045943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-3\/2)*i)\/i*i**(3\/4)*(i*i\/(i**12\/i))\/(i*i**(3\/13)) assuming i is positive.\nAnswer: i**(-467\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046145183 to 7 decimal places.\nAnswer: -0.0000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8205*z - 270751 - 227309 - 142444 = 5719*z for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14439, -14435, -14429, -14421, -14411?\n\"Answer: j**2 + j - 14441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (348\/870)\/((-368)\/60)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, e: 5, z: 2, r: 1}. Give prob of sequence rg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 29 = 9. Suppose -j + 415 = a. Suppose 5*c - 2*q = j, 0*c = -c - 5*q + 93. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*((-256)\/24)\/(-32).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 5676*t\/7 - 4027122\/7.\nAnswer: -2*(t + 1419)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Let r be 3\/(-3) - k - -28. Suppose 0 = 2*n - r + 8. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -26*u + 5. Suppose -38*b = -33*b + 25. What is the hundreds digit of q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -5*b + 2*f, -9 = -5*b + 3*f. Let s be (b\/(-18))\/(-1 - 1). Solve s = -13*l + 3*l + 50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 11:59 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 = 3*q, -2*q - 3 = -2*k + 1. Suppose -4*l + 5 + 11 = k. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/46)\/((-6)\/(-12))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-262)\/34*-3 + 586\/(-4981).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22440 - 11332. Suppose 4*b - 2*d + 29618 + m = 0, 0 = 2*d + 2. Let h = b + -1318. What is h rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(23\/(-4) + 2). Let o = -6 - w. Let v(x) = x - 2. Let i be v(o). Is i less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.8 + -1.8. Let f = k + -42.45. Round f to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -79, -188, -351, -574?\n\"Answer: -a**3 - 18*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-1 - 3 + 3)*(-295*z + 520*z - 5 + 3 + (-7*z + z + 2*z)*(1 + 2 - 5)) to the form u + l*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*x - 531330 + 531330)*(4 - 2 - 4) - 6*x + 4*x - 8 + 3*x in the form v + h*x and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 5 + -2 + sqrt(4608)*-1)*5)**2.\nAnswer: -16800*sqrt(2) + 116425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(24\/45)*6\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g. Let d be 32\/(-20)*((-75)\/10 + 5). Let t(p) = p**2 + 5*p - 1. Determine d*t(r) - 5*z(r).\nAnswer: 4*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6 + 558*m**2 + 295*m**2 in the form u + v*m**2 + i*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -49\/6. What is the third smallest value in -0.2, f, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 20*a + 7. Let h(r) = 61*r + 20. Calculate -4*h(k) + 11*j(k).\nAnswer: -24*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + 18. Let p(b) = -129*b**3 + b**2 - b - 1. Let s be p(-1). Let l = s - k. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 20*m - 48. Calculate the smallest common multiple of 372 and t(7).\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 659556 divided by 54963.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 5. Is p < -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 30 = -v + 3*x, -20 = -3*v + x. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 19. Let w(q) = -q + 38. Calculate 5*v(m) - 2*w(m).\nAnswer: 2*m + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -10) + 5 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 29 + 17, 4*z - 23 = o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 16*z + 9. Let a be l(0). Let m(s) = s**3 - 10*s**2 + 8*s + 24. Let w be m(a). What is the greatest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 298019.01 months?\nAnswer: 24.8349175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - y - 26 = -6, 4*k + 5*y = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-3)*1*(4 - 36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + t + t)*(t**2 + 0*t**2 + 2*t**2) + t**3 - t**3 - 2*t**3 to the form l*t**2 + v + x*t**3 + i*t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, 1287, 1937, 2597, 3273, 3971, 4697?\nAnswer: 5457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 47?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1983*k - 1976*k - 6456 + 3956*k.\nAnswer: -3*k - 6456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05576 rounded to 3 dps?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 102 = -2*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 46*g**3 - 30*g**2 + 5*g - 10. Let l(c) = 69*c**3 - 47*c**2 + 8*c - 16. What is 5*l(k) - 8*p(k)?\nAnswer: -23*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350\/23 or -14?\nAnswer: -350\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13 + 10 + -12 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -62. Suppose 3*w - 3 = 3. What is the second derivative of -d*q**2 + 11*q - w*q**2 - q**2 + q**2 wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = -26*v - 65. Solve -14 = t + 4*q + 2, v = -5*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 2, s: 5, r: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-44) + 39\/(-33) - 6. Round l to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5321935612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 48, -6428, -10 in decreasing order.\nAnswer: 48, 8, -10, -6428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(36\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2463)\/4105)\/((-3)\/(-4)*22).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22\/5 + -489\/110. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4954 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*t + 40. Let h be 16\/6*t\/8. Suppose 117 - 1 = h*a. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*u + 5, 0 = -4*w - 5*u + 11 + 6. Let r be (1\/2 - 2)*w. Suppose -5*i + t = -474, -2 = r*t - 5. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -8 + 495\/25?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 0.7069.\nAnswer: 0.77759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4268 - -0.3268. Let z = 0.9 + -0.8. Let x = -7 - -10. Put w, x, z in ascending order.\nAnswer: w, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - 28. Let z be (4\/(-10))\/(3\/p). What is the units digit of ((-1)\/3)\/(z\/(-198))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 34 - 74 = 0. Let t = i - -7. Let a = -41 - -126. What is the greatest common factor of t and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 12. Let a = 22 - l. Is 10 a factor of 47 + 6 + (a - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, 8, -2 in descending order.\nAnswer: 8, 2, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54.53 + 55. Let f = 0.8 - w. What is f rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4\/2 + 12273*w**3\/8 + 45531*w**2\/8 - 330513*w\/8 - 363783\/8 = 0.\nAnswer: -1019, -7, -1, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*f + 256*f + 62333 = 2114*f - 19627 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4445389.959 + -4445005.959000764. Let w = 384 - x. Round w to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1988*q**2 - 5*q + 9*q - 6*q - q.\nAnswer: 1988*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - f = 24. Suppose -2*u - 8 = -0*u + f*d, -5*d - 20 = 0. Suppose u*v + 2*g = 6*v - 80, -5*v + g + 208 = 0. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/252 and -95\/42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 2*i**7\/35 - i**6\/60 + i**4\/24 - 5*i**3\/6 + 11*i**2. What is the second derivative of o(w) wrt w?\nAnswer: 144*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/36 + 5\/126. Let j(b) be the third derivative of -1\/735*b**7 - 2\/21*b**3 + 0*b + r*b**4 + 1\/70*b**5 + 0 - 1\/420*b**6 + b**2. Let j(q) = 0. What is q?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -15, 1296, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24156 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + d**2 - 2)*(d + d**2 - d) + (0*d**2 + 14*d**2 - 8*d**2)*(-4*d**2 + 5*d**2 - 2*d**2) + (1 - 5 + 2)*(-2 + 2 + 1)*(3*d**4 + 0*d**4 - 4*d**4).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -25. Let n = d - -28. Suppose 3*w + 3 - n = 0. Solve 6 = -2*o - 3*l, 3*l + l + 7 = -w*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4342*b - 4339*b - 4338*b - 4331*b + 17346*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 6 = 0. Let g = -2 + o. Let c(n) = -n + 1. Let x(s) = -s**3 + s - 1. Calculate g*x(a) + 2*c(a).\nAnswer: -a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 747282 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10510 - 1924 = 318*d - 21956 - 6346 for d.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 832*r - 9. Give j(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oess when four letters picked without replacement from uksuesoeeoomookeeeks.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101\/33 or -3?\nAnswer: -101\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*sqrt(900)*1)\/(-2*(sqrt(363) - sqrt(363)*1 - sqrt(363))*-3).\nAnswer: 125*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60848*h + 457888*h + 234896*h - 110257*h.\nAnswer: 521679*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2283 and -32\/2907.\nAnswer: 2212227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 5*s**2 - 4*s - 2. Determine u(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 84.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 5*q**2 + 4. Let j(y) be the third derivative of y**6\/120 + y**5\/60 - y**3\/6 - 21*y**2. What is -b(t) - 5*j(t)?\nAnswer: -4*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 2:41 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - m + 3*m)*(m + 2*m - m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 24. Suppose -4*h - 3*b = -6, 27*h = 29*h - 5*b + 10. Suppose h = u*w + w - 120. Solve 0*k - 4*k - 17 = y, 0 = 5*y - 3*k - w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.92 - 0.905. Let r = c - 0.01506. Round r to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 178069 and 9?\nAnswer: 1602621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1577, 1756, 1983, 2264, 2605, 3012, 3491, 4048?\nAnswer: 4689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p = -12*m - 9*m + 23*m + 34*p + 12, 5*p = m + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30248 or -6\/55?\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -8, 32, 108, 232, 416, 672, 1012?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 80100.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5163986 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: Four letters picked without replacement from dgdxaxgaddgdxuddxdg. What is prob of sequence udax?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-12 - -6) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 65*p - 60*p. Is (29\/(-4))\/(p\/6808) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15311*k**4 - 175*k**5 - 15311*k**4 + (3*k**2 - 3*k**2 - 2*k**4)*(-6*k - 4*k + 3*k).\nAnswer: -161*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 4*p = -0*r - 4*r + 11*r + 57, 4*r - 2*p = 42 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*-2*-8. What is the remainder when 2469\/33 - o\/(-44) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 1. Let x = -3 - -2. Let r(m) = 100*m - 5*m**3 - 90*m - 1 - 9*m. Give x*k(j) - r(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + 5) - (-5 + (-1 - -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -365, -1 in descending order.\nAnswer: 5, -1, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2 + 2)*(-6*r**2 + 4*r**2 + 0*r**2) + 6*r**3 + 0*r**3 - 3*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 106*u**2 + 37563*u\/4 - 27225.\nAnswer: (u - 300)*(u - 121)*(u - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.8 + 2.3. Let o = -449613.49967 - -449618. Let w = o + t. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**3\/3 + 1. Let b(s) = 6*s + 2*s - 5*s - 5*s. Determine z(b(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 582 and 29488?\nAnswer: 88464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**2 + 3*n + 1. Is m(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/26 - 73\/130. Let l(n) = n**3 + 9*n**2 - n - 6. Let o be l(-9). Let j = -12629 - -12634. Which is the nearest to q? (a) j (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80958 and 2472.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g)*(5*g + 4*g - 5*g)*(2*g**2 - 1 + 1).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -25*l + 125. Let s be m(0). Suppose -193 = -4*i + v - 58, -3*i - 4*v = -s. What is the least common multiple of i and 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 380\/7 + (-323)\/((-269059)\/1428) + 11?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 4*m + 2. Let f be s(3). Suppose -5*k + f - 2 = 0. Suppose -d - 4*r = -25, k*d - 2*r - r = 0. Solve 0*x - d = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 11. What is d(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3949 - -3b69?\nAnswer: 78b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9876 + 9881. Let a(q) be the third derivative of 0 + 7\/15*q**o + 14*q**2 + 0*q + 0*q**4 + 17\/6*q**3. Find the first derivative of a(b) wrt b.\nAnswer: 56*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*g + 1877*g - 2526*g - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26956481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r + 18*r + 12*r + 2*r**2 - 8*r.\nAnswer: 2*r**2 + 46*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 1 + -1)*0. Suppose 3 = -b*q - 3*q. Let o(p) = -9*p. Does 9 divide o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/5 + 3)\/(6\/4). Let b(m) = 3*m**3 + m**2 + m. Let i be b(-1). Let g be (-38)\/i + 10\/(-15). Calculate the highest common factor of c and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22 - -7)*1\/(-621). Let b = 1540\/20907 - s. Is 0 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 679050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + sqrt(684)*-2 + sqrt(19))*-6*3.\nAnswer: 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -56 - -32 - 39 - (-24 - 0)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 3*s**2 + 4*s - 4*s**2. Let z(n) be the first derivative of -2\/3*n**3 + 0*n + 3 + 1\/4*n**4 + n**2. Give -2*m(t) + z(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278616466.\nAnswer: 2, 5323, 26171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -40*h + 12*h + 1 + 18*h + 11*h. Let n(t) = -3*t**2 - 5*t - 5. What is 10*c(w) + 2*n(w)?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - -32 - (-10 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*j + s, s = 5*j - s - 9. Let y be (-22)\/33 + (-10)\/j. Let q(a) = -a - 7. Give q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 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: What is the thousands digit of 667240714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -76, -223, -454, -775, -1192, -1711?\n\"Answer: -f**3 - 36*f**2 - 32*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:17 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 + 5*x. Let l be w(-6). Let q = l + 15. Let k be (q - -2265)\/(1 + -2). What is k rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 1:33 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) - sqrt(8)\/sqrt(4))**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 13*k**2 + 16 + 26 + 2*k)*(33*k**2 - k**2 - k**2).\nAnswer: -403*k**4 + 62*k**3 + 31*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 343738*t**2 - 170105*t**2 - 172086*t**2.\nAnswer: 1547*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1476\/(-8))\/((-1944)\/432).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 86*o + 174. Let y(s) = -16*s - 35. Determine 2*l(h) + 11*y(h).\nAnswer: -4*h - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7261820 and 45076?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6653192 divided by -38.\nAnswer: 175084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 659 divide 14638668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473683 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 5203\/13784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49780153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 1 a when three letters picked without replacement from alwjoxjow?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/37, -4\/5, 5, 2\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -10 + 18 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 4*t + 1. Let x be d(-4). Suppose x = 5*g + 31. Let l be g\/8 + 120\/32. Solve -4*c = 4, -5*c - 21 = -l*a + 7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -324 - -558. Suppose n = 11*t - 1031. What is the remainder when t is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*p**3 - 281*p**3 + 550*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 359*x = -5707 - 5703 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -939*h - 19091 + 29420 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + 2 - 12\/16*-8. Suppose -t + 27 = -5*k, m = 3*t + 2*k - 22 - 8. Solve 0 - 3 = -r + 2*l, 0 = 3*l + t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 419680*k**2*o**3 + 4*k**2*o**2 + k**2 - 1986*k + 20*o**2 wrt o.\nAnswer: 2518080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**5\/20 - q**4\/4 + q**3 + 20*q + 1. Let i(x) be the first derivative of n(x). What is the units digit of i(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69075, -138213, -207361, -276519, -345687, -414865?\nAnswer: -484053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15709\/678 - -1\/339. Find the common denominator of 145\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13571 + -13554 - ((1 - 2) + 33).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/9 + -20\/9. Sort m, -2\/7, 1\/4, 0.3 in descending order.\nAnswer: 0.3, 1\/4, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sskk when four letters picked without replacement from {k: 5, s: 11, p: 3, t: 1}?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2238 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.5 - -13. Let n be 1 - (6\/(-9))\/(-1). What is the smallest value in -1, n, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228793 + -0.05.\nAnswer: -228793.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*m - 183 = 0, -5*m + 6*m + 177 = 2*q. Suppose -2*j + 39 = 3. Let f be q\/27 + (-4)\/j. Solve -f*b - 4*n = 1, b - 4 = -b - 5*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 1465?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - -0.08. Let o(t) = -t**3 - 8*t**2 + 22*t + 18. Let z be o(-10). Sort h, -1\/4, -0.2, z in descending order.\nAnswer: h, -0.2, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-242)\/(8 + -19). Let r = -2 + -6. Let l = r - -16. Calculate the highest common factor of c and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7436 - -7429.633. Let w = 0.367 + p. Let s = 10 - 11. Which is the nearest to s? (a) w (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-80) + -17 + 17.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4135\/6 + -701. Let s be 10\/(-5) - -3 - -10655. Let w = s + -170587\/16. Calculate the common denominator of w and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/(-20)*(-4)\/(-5). Suppose 3*t + 0 - 3 = 0. Let v(f) = 9*f**2 + 1. Let j be v(t). Solve 0 = w*l - u + j, 2*l - 10 - 5 = 5*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 6:16 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122\/382455 + -669258323\/1080052920. Let n = -2\/353 + i. Which is greater: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 18*i**2 + 20*i - 6. Let o be r(8). Let g be (1 - (-74)\/o) + (-64)\/(-416). Solve f = g*t + 11 + 13, 2*f - 4*t - 28 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34870 (base 10) in base 12?\nAnswer: -1821a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3260 by -27.\nAnswer: -3260\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/54 + 104\/(-18). Let l be 6\/14*y\/9. Suppose -5*d - 5*v - 10 = 0, 2*v + 38 = -d + 34. Which is the third biggest value? (a) l (b) -1\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1105682962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 209596289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138*((-2)\/(-7) - (-10)\/(-28)) - 674\/2359?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -44. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745293024*z + 745293024*z - 122*z**2.\nAnswer: -122*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26259 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(26)\/((sqrt(2)*3 + sqrt(2))*-2 - sqrt(2)) + -1*(sqrt(104)\/sqrt(200) + 4).\nAnswer: -3 - 14*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = h - 740, -2*b = -0*b + 2*h - 496. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**4\/24 + 5*v**3\/18 - 34. Let l(x) = 0. Calculate x.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i - 22. Let u be a(-6). Suppose -5*j = -r + 14 - u, 5*j = -3*r - 4. Factor 9*q + 15*q**2 - 32*q**2 - 3*q**3 + 11*q**r.\nAnswer: -3*q*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/12 - 5*p**3\/6 + 5*p**2\/2 - 1880*p. Let b(c) = -c**2 + 4*c - 4. What is -7*b(n) - 6*f(n)?\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 61 - 25 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 - 66*b + 76. Let p be k(32). What is the third derivative of 2031 + 0*d**2 - 2*d**4 + 17*d**3 - p - d**2 wrt d?\nAnswer: -48*d + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -17055692958.\nAnswer: -17055692912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17664418 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 - 3*s**3 + 149 - 32*s**4 - 147 to the form o*s**4 + b*s**3 + q*s**2 + z*s + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = -186*j - 56*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4341.\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*(12\/3 - 6). Suppose -j - v = -14. Suppose -j + 15 = 2*t. Solve -2*i = t*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 3*w - w)*(2 + 3 + 0)*(19 - 29 + 79) as t*w + f and give t.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(i - 5*i + 3*i) + (20*i - 4*i + 6 + 3*i)*(1 + 3 - 5).\nAnswer: -18*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7cd1 + 4d8?\nAnswer: 83c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009362 to four dps.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) -3 (c) -278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = 2. Let b be (r - -2)*(-2)\/4. Suppose b - 3 = -g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p + 2. Let y(t) = -11*t + 2. Let s(h) = -4*f(h) + 3*y(h). Let z be s(2). Suppose 4 = -4*q - 3*o, -z*o = q - 2*o + 6. Solve 0 = -d - q - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1808 * 543.\nAnswer: 981744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and -101.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253901?\nAnswer: 253901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16563174 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p*p\/(p\/p**(6\/7)*p)*p)*p)\/(p*p*p\/p**(-7)))\/(p**(-3\/4)\/(p\/(p*p*p**(-2)))) assuming p is positive.\nAnswer: p**(-283\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1168 + 7018?\nAnswer: 8187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 0 + 0)*(6*m**2 - 4*m**2 + 0*m**2) + (1 - 1 + 2)*(8*m**3 - 6*m**3 + 3*m**3) in the form d*m + n*m**3 + b + c*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o**2 + 4393*o - 48902 = 0.\nAnswer: -499, 98\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -1.05.\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -955*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - 2*j - 1)*(-729*j + 1507*j - 526*j).\nAnswer: 252*j**2 - 252*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -376 - -1333. Let j = 557 - v. Let w = j + 399.99999789. What is w rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/((u*u**(-2\/7)*u)\/u))*u*u**(-1\/2)*u**(1\/3)\/(u*u\/(u\/((u**(-5)*u)\/u)*u)) assuming u is positive.\nAnswer: u**(275\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 156904076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (17 - (9 + -3)) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36682763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 570266.822 to the nearest one hundred.\nAnswer: 570300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 5:47 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6*t = -2*t. Suppose -24 = -4*a - d + 7, 5*a - 45 = 5*d. Suppose -n + a = -2. Solve -3*u = -3*k, t*u + u - 3*k = -n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.90012l to millilitres.\nAnswer: 46900.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214683594 a multiple of 4917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/(-15) - 1) + 44)\/(2 + -1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 2. Let q(k) = k + k - 5*k - 8. Let d be q(-4). Determine p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/139, -4\/2331, -0.5, -3 in decreasing order.\nAnswer: -4\/2331, -3\/139, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-5 + 7)\/(4\/48) and 105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (609*p + 4 + 2 - 3 - 3)*(37 + 3*p**2 - 37).\nAnswer: 1827*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6935578 divided by -26?\nAnswer: 266753","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + g**3)*(175 - 68 - 2*g**2 + 0*g**2).\nAnswer: -2*g**5 + 107*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s + 0*s**2 - 4*s**2 - 3 + 4 - 3*s + 7*s + s**3. Suppose 14 = 5*w - 11. Is 8 a factor of t(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2406 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17059.\nAnswer: 7, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600679251.\nAnswer: 17, 94157603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -78 * 6.9\nAnswer: -538.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 193\/5012 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -414 + 673. Let r = 257 - j. Which is the nearest to r? (a) 0.1 (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/3*12\/10. Find the second derivative of -j*l**3 + l**3 - 4*l + 6*l**3 wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 + 2*q**3 - 6*q**3 + (-2*q + q - q)*(0*q**2 - 2*q**2 + q**2) - q**3 + 6*q**3 - 3*q**3)*(-1 + 1 - 5*q).\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/7)*w)\/w**(-8))\/(w**(2\/43)\/w**(-2\/11)))**(-32))**(-2\/121) assuming w is positive.\nAnswer: w**(1798208\/400631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 345204 and 90558.\nAnswer: 40388868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5155 + 7364. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3 = 2*b, -3*b - 2*b + 3*u + 17 = 0. Suppose 3*d = d + 2094. Suppose -5*y = -b*s - 246 - 793, -d = -5*y + 2*s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + -52. Let y = -47 + 24. Let p = y - k. Round p to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 4, -2, 50.9, -1, 0.03, 0 in descending order.\nAnswer: 50.9, 4, 0.03, 0, -1, -1.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 3 + 1 - 2. Let m = 0 - -1. Let i = m - -3. Let a(f) = f. Calculate i*a(o) - n(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 78 - 73 - 3*m**3 + 48 + 176.\nAnswer: -3*m**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 51477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2838 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 3816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73134.\nAnswer: 2, 3, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 35*r + 17 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 734*z - 112302. Give x(-130).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 6. Let s be m(13). Let l(r) = r**3 - 20*r**2 - 15*r - 6. Let p be l(s). Is (p\/(-4) - 2) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16691\/4 - -4151. Calculate the common denominator of u and 100\/(-8)*3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.168 + -11531.\nAnswer: -11542.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 88*x + 129. What is n(-5)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 12*g + 3. Let x be o(-12). What is the nearest to 1 in x, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*z = 270*z - k - 25, -5*k = -3*z + 37. Let o(y) be the first derivative of -10 + 0*y - 3\/8*y**z + 0*y**2 - y**3. Determine m so that o(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3079 divided by -274440.\nAnswer: -3079\/274440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((30 - 31) + (2 - 3) + 7)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 1815*g**5 + 25300*g**4 + 65855*g**3 - 186110*g**2 - 157920*g + 70560 = 0. What is g?\nAnswer: -84\/11, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 608 - 605. Let u(n) = -n**3 + 4*n**2 - 3*n + 8. Let y be u(r). Suppose 4 = -0*q + 4*q. Calculate the greatest common factor of q and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 58 = -q. Let w be (-6)\/(-2)*(-892)\/6. What is the remainder when w\/(-8) - 4\/(-16) is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19171639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2943.9765 - 0.0235. Let h = 2939.937 + p. Let u = h - -4. What is u rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3357.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v - 2 + 17*v + 11*v + v**3 as o*v**2 + m + y*v**3 + s*v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + v + 1. Let j(y) = 70*y**2 - 6*y - 5. Let p(u) = 6*c(u) + j(u). Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/10))\/(i\/(i*i*i**10*i*i*i)))**32\/(i*(i\/(i\/(i*i**(2\/11))))\/i*i*i\/(i**(-5\/4)\/i*i))**(12\/5) assuming i is positive.\nAnswer: i**(25991\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2824915 is divided by 842.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 38 = 4*v, 5*x + 0*v - 3*v = -44. Let o = -44 - -42. Let s be (-14)\/(-5) + o\/x. Solve -18 + s = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38581791019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -29*i**7\/42 - 3*i**3\/2 - 5*i. Find the second derivative of f(c) wrt c.\nAnswer: -580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -13. Put -2\/9, j, -0.2 in decreasing order.\nAnswer: j, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6164.\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (162\/189)\/(((-4)\/(-21))\/(54\/9))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192621 and 499213.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 421 + -420.307. Let j = h - 0.6930477. Round j to 6 decimal places.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -12742 (c) -0.1 (d) 0.04 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-10)*(-10)\/4. Suppose 2*u = -p*w + 58, -w + 48 = 3*w + 4*u. Suppose 113 + w = 5*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.012 - -0.012. Which is greater: p or -155?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-14) + 20 + 2888\/(-133).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/294*4\/(-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 559? (a) 1\/5 (b) -2\/5 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16769, -134182, -452871, -1073474, -2096629, -3622974, -5753147, -8587786?\nAnswer: -12227529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 167 = -4*s, 2*f + 51*s = 46*s + 80. Solve 19*h - 12*h + f = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736157359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46997 at most as big as 46997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10d9 - 22?\nAnswer: 10b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/30 and 16\/6993.\nAnswer: 69930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 + 305183*m**2 + 919661 with respect to m.\nAnswer: -6*m**2 + 610366*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/((sqrt(512) + 1*sqrt(512) - sqrt(512)) + sqrt(512) + sqrt(512) + sqrt(8) + sqrt(8)).\nAnswer: sqrt(11)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 812539, 12?\nAnswer: 812539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 86.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -5 - 3 - (6 + -3)) + (36 - -37)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {k: 3, d: 9, m: 1, o: 1, v: 4}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 1)*(-2 - 3 + 4)*(-3*m**2 + 5*m**2 + 2*m**2)*(7*m - 2*m + 0*m) to the form b*m**3 + d*m + v + c*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-26)\/(-65))\/((-4)\/(-10)). Solve v - 1 = y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**4 - 160*u**3 + 105*u**2 + 1510*u + 1240 = 0.\nAnswer: -2, -1, 4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 1, i: 2, n: 2, f: 6, c: 4}. Give prob of picking 2 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45045.695 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**3 + 8*w**2 + 3*w - 6. Let r(s) = 20*s**3 - 23*s**2 - 8*s + 17. What is -17*q(g) - 6*r(g)?\nAnswer: -g**3 + 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1191, 1181, 1149, 1083, 971, 801, 561, 239?\n\"Answer: -2*o**3 + o**2 + o + 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0486 - -0.0514. Is f less than 12\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101791302593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154479 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: Let m(d) = 4*d + 853. Let j(r) = 2*r + 4. Give -j(b) + m(b).\nAnswer: 2*b + 849","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-54))\/(9\/(-2))*6\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3581495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 14. Let u be v(0). Suppose -h = -4*o - 18 - u, 28 = h - 3*o. Suppose -72 = -h*n + 4*n. What is the third smallest value in 0.1, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 5, y: 1, v: 3}. Give prob of picking 1 h and 1 c.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3555*p**2 - 3557*p**2 - 1.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 3, 66500, 5 in ascending order.\nAnswer: 0, 2, 3, 5, 66500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:00 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 9*u**2 - 19*u - 11. Let j be s(5). Let t be j*-3*4\/24. Find b, given that 0 - 3\/4*b + 9\/4*b**t - 3\/2*b**2 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584850 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 42 + 53 = 2*d, -4*g = 2*d + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 + 4)\/((-12)\/(-2682))?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 659144153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (3 - (-2)\/(2\/(-15))). Let f be 2*(-1)\/(o\/3). Let n = 0.1 + 0. Sort n, -3\/5, f.\nAnswer: -3\/5, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 301.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 + 31*h**2 - 24*h + 140. Determine i(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 344\/946 + 1\/(-2). What is the nearest to -0.2 in 3, 4, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 10*m**3 + 4*m - 3*m**4 - 5*m + m - 1 - 3*m in the form r*m + s*m**2 + p + h*m**3 + a*m**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m. Let a(r) = r**2 - 3*r - 4. Calculate a(i(n)).\nAnswer: 16*n**2 - 12*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385329 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5461 + 5461. Let a(w) be the second derivative of d - 3\/2*w**3 - 19*w + 0*w**2 - 2\/5*w**5 + 0*w**4. What is the second derivative of a(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5))**(-16) assuming j is positive.\nAnswer: j**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*s - 4 = -18, 5*m - 8 = s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1392, 2778, 4164, 5550?\nAnswer: 6936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2028 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 18. Suppose 4 = -2*u + 3*u, 5*m - 2*u - c = 0. Let n(v) = v**3 + 6*v**2 - 7*v + 2. Let l be n(-7). Is m at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22125.93 - -0.1787712.\nAnswer: 22126.1087712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 7*n - 2. Let z be l(6). Let r be (-24 - -12)*38\/(-456). Let m = -0.4 + 0. Which is the closest to -0.1? (a) m (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 7*d**2 + 8*d - 6. Let p be t(8). Let y be p*(15\/9 - 1). Let k be 2\/y + (-61)\/(-2). What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 45 = 36*s + 375 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phjpappjpavpppppvv. Give prob of picking 1 j and 1 h.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 2803080 divided by 3290\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3406579 by -1.\nAnswer: -3406579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*v + 37, 2 = -50810*n + 50812*n + 2*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3812181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2 + 0 - 3*p)*(5*p**2 - p**2 + 2*p**2).\nAnswer: -6*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f - 13*f = -114. Suppose -21*c = -25*c - 64. Let r = 5 - 7. Put c, f, r in increasing order.\nAnswer: c, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/11 + 382*c**3\/11 + 19838*c**2\/11 + 149058*c\/11.\nAnswer: 2*c*(c + 9)*(c + 91)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 56*v**2 + v + 1. Let m be j(-1). Suppose 4*b = c + 40, 4*b = 5*c - 0*c + m. Calculate the remainder when (102\/(-15))\/(4\/(-10)) is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16262 by -47.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 623096 to the nearest 10000.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c - 6. Let b be j(-12). Let m = b + 107. Suppose m*z = -444 + 8249. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73630 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -69, -161, -291, -459, -665, -909?\n\"Answer: -19*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1746773*y + 1. Let m(n) = 7*n. Calculate x(m(j)).\nAnswer: -12227411*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 420919777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + 6 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11482*i**2 - 34273*i**2 + 11390*i**2 + 11399*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248 is divided by 301?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**3 + 76252*p**2 = 0.\nAnswer: -19063, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.5 + -7. Let w = 3 - 3. Let x = p - w. Which is the third biggest value? (a) 1\/10 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15229 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 3*i - 4*i. Let t(v) = 9*v + 7. Let y(d) = -4*d - 3. Let m(w) = -3*t(w) - 7*y(w). What is x(m(c))?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 2:18 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28584 divided by 12\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7885092?\nAnswer: 2, 3, 657091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6)*(-18)\/(-3). Suppose -5 = -a*s + 7. Sort s, -5, -1.\nAnswer: -5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 2*j + 6*j**3 + 5*j**3 - 3*j - 10*j**3 - 4. Let o be (6\/8)\/((-1)\/4). Determine z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - 16*n**2 - 12*n - 8. Let f be z(6). Which is the nearest to 0? (a) 1\/4 (b) 1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 7*i**2 - 11*i - 12. Let z be c(-6). Let r(v) be the second derivative of v**4\/4 - 9*v**3\/2 - 7*v**2\/2 - 10*v. Is r(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/7 - 624*s\/7 = 0.\nAnswer: -208, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4 - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*o + 25, -90*b - 3*o = -89*b - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 1a38177?\nAnswer: -1a38175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 16. Let h be (d - -5)\/(3\/(-2)). Suppose -2*a + 3*a + h*l = -1, -3*a + 5 = -2*l. Which is bigger: a or -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:45 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 9:00 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59742765 divided by 5?\nAnswer: 11948553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-23013)\/(-990) + -23 - 1 and -133\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 12*g**2 + 4*g - 81. Calculate j(-10).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, -5, -0.1, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y + 5. Let v(s) = 34*s - 3. Let m be v(2). Suppose -3*z - 2*z = -m. What is the remainder when z is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 31*m + 47. What is z(5)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 10*z**2 - 3*z + 22. Let y be o(10). Let b = y + -10. Let q be 9\/b - 17\/(-38). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/33 and -61\/618030?\nAnswer: 6798330","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -141*y = 790 - 226 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9394099*y + 9394083*y + 1296 for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 596697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1077 - 1076.92. Put -1\/3, -54, w in decreasing order.\nAnswer: w, -1\/3, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*u = 2*u + 11, g - 8 = 2*u. Suppose -g*z = -53 + 191. Let t = 61 + z. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 33 (b) 5 (c) -3 (d) -78\/293 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 33*p - 2537 = -5*p for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-2\/43))**(-10) assuming a is positive.\nAnswer: a**(-20\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 532 * -52142.\nAnswer: -27739544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.044 - -0.044. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/22)\/(-4) - (-1561)\/(-77)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u**2 - 32*u + 89. Give x(3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1108211.7 months?\nAnswer: 92.350975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2446243*v**3 + 5267454*v**2?\nAnswer: 14677458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215561 is divided by 578.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - h. Let o be a(0). Let f = -2709 - -2795. Suppose -6*w + 7*w - f = o. Round w to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 14*z + 103. Let a be n(-6). What is the highest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960052 is divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*s + 3045, -1218 = 29*b - 31*b + 5*s. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 11*u**2 - 7*u - 10. Let m be g(10). Let p be 3\/((-3)\/2)*(-30)\/m. Suppose 0 = -p*r + 8 - 5. Solve 2*v = -q + r, 2*v + 3*q = 6*v + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = r + 88. Suppose r*p = -8, o + 3*o - 5*p - 4846 = 0. What is the highest common divisor of o and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135 + 3010542?\nAnswer: 3010403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 2*l**2 + 3*l. What is z(-4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 21. Suppose a = 4*b + 5, a = w*a + 4*b - 20. Suppose 259 = 4*i + 3*n, n - 198 = -a*i + 2*i. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-160) - (-1)\/5. Let y = 5.1 + -1.1. What is the second smallest value in y, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*y**3 + 7*b**2*y**2 - 9908647*b*y**3 + 2*y**3 - 220739*y**2 wrt y.\nAnswer: -6*b**2 - 59451882*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (52\/10)\/(2\/10). Let j = -62 + 77. Let c = j - -50. Calculate the greatest common factor of c and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22935 minus -2022488?\nAnswer: 1999553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 - 68*s + 142. Determine z(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 12 = 5*l - 3*l, 4*k - 21 = -l. What is the remainder when 133 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -3*sqrt(77)*-3)\/sqrt(7))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 534, -0.5, -0.3 in decreasing order.\nAnswer: 534, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1 + -2*sqrt(192) + sqrt(288)\/(sqrt(864)*2))*-6)**2 + 3.\nAnswer: -135552 + 5700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1))**36\/(v**(-5)\/(v**(2\/15)\/v)) assuming v is positive.\nAnswer: v**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 - 132*j**2 - 9 + 35*j**2 - 26*j wrt j.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 2. Let y be (-40)\/(-16)*(-4)\/(-5). Calculate the lowest common multiple of 2 and v(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 + 10 + 0\/(0 - 1). Let j(w) = 2*w**3 + 5*w**2 + w + 4. Let l(c) = 4*c**3 + 10*c**2 + 3*c + 8. Let u(z) = q*j(z) + 3*l(z). Calculate u(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {b: 4, t: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746722520701 minus -0.1?\nAnswer: -1746722520700.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d - 764*d + 29*d.\nAnswer: -715*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 18*s**2 + 7*s + 4. Let p be i(18). Suppose -2*u + p = -4*g + 444, -3*g + 236 = -u. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 44, 60, 60, 38, -12?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 6. Let s(w) = -52*w. Determine c(s(v)).\nAnswer: -5408*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 38*o**2 + 79*o + 52. Calculate the smallest common multiple of 573 and g(40).\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -58, -198, -466, -904?\nAnswer: -1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n + 20, -5*d - 5*n + 70 = 0. Let r(j) = -j**2 - 11*j - 10. Let t be r(-7). Calculate the remainder when 3\/(-3)*1 + t is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (((1*sqrt(340) - sqrt(340)) + sqrt(340) + sqrt(340))\/sqrt(10))\/(-3*sqrt(4)\/sqrt(2)))*1)**2.\nAnswer: 4*sqrt(17) + 149\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**7\/105 + n**6\/30 + n**5\/30 - 9*n**2. Factor g(q).\nAnswer: 2*q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 9531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174*o**6 + o**4 - 30*o**3 + 19*o**2 - 102*o - 2.\nAnswer: -20880*o**3 + 24*o - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100 (base 2) to base 15.\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-12)\/7)\/((-22)\/(-154)))\/(-2). Let z be y + ((-4)\/(-14))\/(3\/(-7)). Sort -4, z, 0.2, 0.1 in increasing order.\nAnswer: -4, 0.1, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156724868 divided by 292?\nAnswer: 536729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3077626 and 285029.\nAnswer: -2792597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 7. Let g be y(2). Let m = 1.3 - 1.15. Let u = m + 0.05. Which is the biggest value? (a) g (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -336*a**2 + 2995*a - 2453. Determine s(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36822)\/(-4199)*13*(-9 - -10)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025355088 to four dps.\nAnswer: -0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 998 + 843 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aae when three letters picked without replacement from {e: 1, p: 5, d: 1, a: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 179305 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let j be (-8)\/(-4) - (1 - 2). Let m(r) = 0*r**2 + 5*r**2 + j*r**2. Give o(m(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1503 and 0.07.\nAnswer: -105.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66.94226 millilitres?\nAnswer: 0.06694226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -71?\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57187.477968 - -16.\nAnswer: -57171.477968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)\/(-1)*-21. Let x be (m\/12)\/((-3)\/12). Let z = x + 13. Calculate the smallest common multiple of 4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2934\/7, 1, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g**2 + 32*g - 15. Let r be a(-17). Let k be r\/6*(8 - 17). Round k to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3*f = 23, -3*r - 84 + 97 = -f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*l + 419 + 423 - 831.\nAnswer: -438*l + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 41\/108816, 2.1 in ascending order.\nAnswer: 41\/108816, 2, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.67670002 from -45.\nAnswer: -44.32329998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/437? (a) -1 (b) 0.0709 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -601, -0.066, -1\/4, 5, 3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.4 (c) -8\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2647*z - 5564*z - 10590*z.\nAnswer: -18801*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8176, -16282, -24388?\nAnswer: -32494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 7:35 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*p - 4*h + 80, -964*p + 963*p - h = -26 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 152?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 324*t - 463. What is the thousands digit of h(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -11000000101000010111?\nAnswer: 11000000101000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 120782 (base 10) to base 7\nAnswer: 1012064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q**3 + 427*q**3 + q**2 - 2*q**2.\nAnswer: 360*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.32, 24\/7, -23, -6?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*w + 1444, -8 = 1813*w - 1812*w. What is the greatest common factor of 462 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Suppose -m - 3 = -4*t, -5*t - f = -4*m - 2. Let q = m + 0. What is the highest common factor of q and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9366593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 20*p**2 + 26*p - 32. Let v be x(11). Solve -66 + v = -18*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*q**2 - 83 + 84*q**2 - 165*q**2 as l*q**2 + g*q + i and give i.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 22 = -5*i, 2*i + 2*a = -3*a + 18. Solve 0 - i = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 62 + 47. Put 29, -2, l in descending order.\nAnswer: 29, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -12*p + 17*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 13*a = -10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 489 + 239. Let x be 1*-3 - q\/(-78). Let n(m) = m**3 + m**2 - 2*m + 3. Let p be n(0). Which is the closest to x? (a) p (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 9*f - 6. Let k = f - 3. Solve 3*g = 9, 5*p + k*g + 10 = -6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 + p**4\/6 - p**2 + 62*p. What is v(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1613864 by 2254.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (223 + 524 - 366)*(x**4 - x**4 + 2*x**4) as q*x**4 + c*x**3 + w*x + j + z*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15*((-13)\/(-24) - (-3)\/24). Let r = 158 - i. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9256 and 264508?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 198.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:54 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12059, 12040, 11997, 11918, 11791, 11604, 11345, 11002?\nAnswer: 10563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = -0. Suppose 5*y - 14 + 50 = 4*r, 16 = -4*y. Solve 0 = -r*p + a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5 - 25. Suppose 0*n + u*n = 16. Differentiate -q**n + q**4 + 2 + q**4 wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149190*q**2 + 2 + 17*q**3 - 22*q**4 + 149190*q**2 to the form i*q**4 + h*q + d*q**2 + f*q**3 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*a + 5 + 0 = 0, 21 = -2*f + 3*a. Let j(t) = 2*t**2 + t - 5. What is the remainder when 29 is divided by j(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 - y - 67 to r*y + b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x, 4*l + 5*x + 1 - 9 = 0. Suppose 5*t = 2*h + 3*h, 5*t = l*h + 12. Put -3\/2, h, 2\/9 in increasing order.\nAnswer: -3\/2, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118729 is divided by 874.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2811 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 29. List the prime factors of k(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 81*o - 984. Determine k(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 5 = -9. Solve r - 21 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35578 <= -35508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007048 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(2*y - y - 2*y) - 969894 + 969894 - 4515*y.\nAnswer: -4513*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0*c**2 - c**2)*(-3 + 1 - 1) + 2*c**2 + 3*c**2 - 3*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 + 122*v - 863. Let q be t(6). Let k(s) = s + 20. Give k(q).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 0*u**2 - u - 1\/2*u**4 + 0*u**3 + 14. Let p(l) = -3*l + 5 - 5. Calculate p(q(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005556698903 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + 2 + (-1 + -2 + sqrt(288) - sqrt(288)*-1*3)) + -1)**2.\nAnswer: 96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5978 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57851201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t - 6*t - 6*t - 5*t as r*t + j and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbcc when four letters picked without replacement from cbccbbccccbccccbcccc.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -334.1 times 0.1\nAnswer: -33.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - 150\/20)*-1)\/(17*5\/680).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -420157 + 2936173\/7. Which is smaller: -704 or s?\nAnswer: -704","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.015, -2, -4, 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -111, 2\/7 in ascending order.\nAnswer: -111, -2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64.037 + 64. Let q = -0.537 - y. Which is the third smallest value? (a) q (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -200, -204, -210, -218, -228, -240?\n\"Answer: -x**2 - x - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 4*x**2 + 3*x + 6. Let s be h(5). Suppose w = 3*j + 6, -26*w + 29*w - 6 = 5*j. Put 1, s, -9, w in decreasing order.\nAnswer: 1, w, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 95*9\/165 + 8 + (-180)\/22. Suppose 4*k = 2*z + 14, k = -3*z - 2*z + 20. Solve 2 = -4*l + l + k*d, -4*d + 12 = -i*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 33, 7, -29, -75, -131, -197?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1276, -16, -73 in descending order.\nAnswer: 1276, -16, -26, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136535 and 913?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/66392 and -13\/22967.\nAnswer: 7900648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 160*f + 4973. What is d(-31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -245, -884, -1933, -3398, -5285?\n\"Answer: -m**3 - 199*m**2 - 35*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 11156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 - 2\/9*b**3 + 2*b + 4\/9 - 2\/3*b**4 = 0. Calculate b.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40 and -0.4.\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/(-6) + 32\/(-24). Let m = 76 + j. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1019.5 + 1020. Let o = -363 - -363.6. Put o, -1\/20, j in descending order.\nAnswer: o, j, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 7545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272 + 70 + 2*h - 371.\nAnswer: 2*h - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37445 + 73867. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1929855)\/5 - (-3 + (-28)\/(-14)). What is s rounded to the nearest one thousand?\nAnswer: -386000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*g = -2 - 3, -4*g - 4 = -3*y. Solve -4*l - 8 = -y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a875 (base 13) in base 7?\nAnswer: -125163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496245 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 12 = -5*f, 5*f = -1325 + 1325 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-597 + 157 + 1415)*(-2*g + 0*g - g).\nAnswer: -2925*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15326315 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 9*c + 25*c)*(5 - 5 - c) + (4*c + 3*c - 12*c)*(-c + 2*c - 3*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)**(2\/7)\/((r**(3\/2)*r)\/r**(-1\/8)) assuming r is positive.\nAnswer: r**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72009 and 256413.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17111630 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 71316381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4012*v**4 - 4800 wrt v.\nAnswer: -16048*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**6\/720 + 29*c**4\/12 + c + 29. Let m(r) be the third derivative of p(r). Let k(i) = -2*i + 18. What is k(m(x))?\nAnswer: 2*x + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = g + 7, m - 6 = 6*m - 4*g. Let c(q) = -18*q. What is the remainder when c(m) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/621575 or -338?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -8*j + 13. Suppose -j*s - 5*l = -4*l - 35099, 0 = -3*s + 3*l + 35103. What is s rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612 (base 13) to base 3.\nAnswer: 1102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*m**2*y**3 - 3418*m**2*y**2 - 540456*m**2 + 16*m - 4*y - 2 wrt y.\nAnswer: 96*m**2*y**2 - 6836*m**2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2230301333 (base 4) to base 5\nAnswer: -140121321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 13. Let g(c) = -8*c + 5*c - 2*c - 7 + 4*c. Let f be g(q). Which is bigger: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 1)*(20*f - 9*f - 10*f - 15) to the form l + g*f and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60639871?\nAnswer: 149, 167, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5413789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 11:20 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 1 + h**2 - h - 7*h**2 + 7*h**2 to the form g + u*h**2 + i*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-13 + 2))\/(30\/30)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301124 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 2, q: 2, k: 4, m: 6}. What is prob of picking 1 z, 1 k, and 1 j?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4787, 38400, 129603, 307190, 599955?\nAnswer: 1036692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392646933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4129430581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19744 (base 11) in base 10?\nAnswer: 27515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10879573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 255 = -g. Suppose 183 + 225 = 24*i. Calculate the highest common factor of i and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**4)\/g)**(2\/71)\/(g*(g\/((g*g*((g\/(g\/g**12))\/g)\/g)\/g*g))\/g*g*g*g*g*g*g\/(g\/(g*g\/(g*g**(6\/5))))*g*g) assuming g is positive.\nAnswer: g**(1531\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 33, 59, 81, 93, 89?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2174*m**3 - m - 1369 wrt m?\nAnswer: 6522*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4838 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2234 = 5292. Suppose -t = -5*b + l - 515, 2*t - 4 = 0. Round b to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11109 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -243. Let y be (51\/(-15) + 3)*145. Let a = x + y. What is the highest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 54 = 31*z - 28*z, 0 = j - 3. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*i = 202*i + 5*w + 111127, 4*w = -28. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 - 40 - 23 = -7*n. Sort -18, n, 80 in ascending order.\nAnswer: -18, n, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 17 = -t, 0 - 10 = t + 5*a. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -1, 1 in ascending order.\nAnswer: -10, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a*a**(1\/2)*a*(a**(-1\/3))**45)**43 assuming a is positive.\nAnswer: a**(-1075\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -116*k - 2657. Give o(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/175 and 38\/8785?\nAnswer: 43925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1760 and (2 + (-478)\/240)*11742\/1216.\nAnswer: 14080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 590900 by 1.\nAnswer: 590900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7812787331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose u - 5*n = -u - 3, -3*u + 8 = i*n. Let r = u + 3. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.279 + -5.881. Let u = n - -0.16. What is the biggest value in 2, 0.1, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-304)\/(-40))\/((-78)\/(-195)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhhhsshhhhsh.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010 divided by 43?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 1\/2*b**3 + 0*b**2 - 51*b + 0. Let w(n) = 39*n**2. What is w(o(r))?\nAnswer: 351*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.346? (a) -2\/3 (b) -3\/8 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -23*d**3 - 12*d**2 - 32*d - 8. What is the thousands digit of h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -4\/3*r**3 + 3 + 0*r + 7\/2*r**2. What is the second derivative of o(d) wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:23 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 (base 8) in base 7?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -40 - -32 - (-6 + 1). Let q(y) = -1 + 3*y - 4 - y - 4*y. Let v be q(-3). Put v, 0, x in descending order.\nAnswer: v, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 - 3253722*b**2 = 0. What is b?\nAnswer: -1626861, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from uyyyyyyuyyy.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -924451328307*s**2\/5 - 6661356*s\/5 - 12\/5.\nAnswer: -3*(555113*s + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18593*y**2 - 3458.\nAnswer: -37186*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 15865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -206, -207, -208, -209, -210, -211?\n\"Answer: -n - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15062 or 12325?\nAnswer: 12325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 + 74 = 33*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5932 is divided by 987.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144536?\nAnswer: 2, 7, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 4*l**2 - 8)*(52 - 32*l - 52 + (3 + 4 + 3)*(-3*l + 6*l - 4*l)).\nAnswer: 168*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxhhxxhxhhnhchhnxh. What is prob of sequence ch?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.0257*-5\nAnswer: 0.1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 - -123. Let m be 66\/(((-24)\/(-16))\/1). Suppose -46 = -2*x - 4*n, 0 = -m*n + 43*n + 4. What is the remainder when z is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*6\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0, -3, 1, -3\/7, 12138, -2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31.327 (b) 5 (c) 0.0366\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:21 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l + 6. Let j(m) = -m - 8. Let h be j(-18). What are the prime factors of g(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.25 and -145230621.\nAnswer: -145230621.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 21. Suppose d + m - 253 = 3*m, o*d + 5*m - 515 = 0. What are the prime factors of (-1 + d)\/(4 + -7 + 5)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 164550812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t + 194. Give q(28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45254447179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -1011\/46?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(6174\/(-2303))*(-6)\/(-2)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a = -5 - 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17343?\nAnswer: 3, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2136 (c) 4 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j + 15. Let g be p(0). Suppose -8*z - 81 = g. What is the hundreds digit of 16\/z*-1*495\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2221 - -24382\/11. Find the common denominator of -40\/249 and f.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -2389 (b) -1 (c) -2\/13 (d) -1\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -4)*18\/(-8). Let x be 1\/(f\/16) + -2. Let h = -30445 - -30445. What is the third smallest value in x, 0.2, 1, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 35. Sort t, 1, 34 in decreasing order.\nAnswer: 34, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 84315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9793240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f**2. Let i be h(-2). Suppose o = 3*o - i. Calculate the greatest common divisor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 600 = -2*m, c - 4*m - 200 = -0*c. Is c a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 4*y - 9 = -10*f, 7 = -3*f + 4*y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7389 + -6909. Calculate the remainder when t is divided by 188.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:29 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 220332?\nAnswer: -221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/2 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-24))\/(1\/(-4)))\/((-2474)\/(-178128))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(17) - (-6*(0 + sqrt(17)) + sqrt(17))**2).\nAnswer: -6*sqrt(17) + 2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 115085*b + 7136231\/2.\nAnswer: -(b - 230201)*(b + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22363253 is divided by 134?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1384726 divided by -2\nAnswer: -692363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = -17*q + 420. Let f(c) = 4*c + c - q - 4*c + 34. What is f(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4519 and -0.432.\nAnswer: -1952.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b - 197*b**2 - 96*b**2 - 79*b + 291*b**2.\nAnswer: -2*b**2 - 64*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2. Let w(c) = -20*c**2. Determine q(w(z)).\nAnswer: 1600*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -10.9. Let a = 20159420 - 20159417.8999929. Let t = v - a. Round t to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 16*y**5 - 298*y**3\/3 + 3*y + 227. What is the second derivative of q(s) wrt s?\nAnswer: 1920*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 3, -3, 209\/3 in descending order.\nAnswer: 209\/3, 3, 0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(150\/185)*1585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 20 - (-1 + 0). Let z be 1\/(-2) + 5772\/j. Suppose -95 - z = -5*m. List the prime factors of m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**3\/3 - o**2 + 7*o. Let w be d(1). Suppose -1\/2*g**2 + 1\/2*g**3 - 1\/2*g**5 + w + 1\/2*g**4 + 0*g = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6608 and 124768.\nAnswer: 7361312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 179488 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = -3. Suppose 65 = i*z + 3*u - 180, -4*z - u = -189. Let d(c) = c**3 - 6*c**2 - 5*c + 2. Calculate the remainder when z is divided by d(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17750, 17735, 17718, 17699, 17678?\n\"Answer: -l**2 - 12*l + 17763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*138\/(-8556)*-2914\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3901698 rounded to three dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 + 2583*o**3 - 256905*o**2 + 6815325*o = 0.\nAnswer: 0, 55, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 470*x - 26 + 26 - 19 - 31*x - 24. Does 13 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(102) + sqrt(102))*5)\/(sqrt(150)*1*-4).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 198249999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 27*j + 1. Let k be m(1). Let l = 40 - k. Let o = 22 - l. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102239216.\nAnswer: 2, 1709, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*u - 1631 + 7654, -3*u - 4*r = -6019. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3 + -67 + (-1)\/(-1). Let n = u - -73. Solve -4*p + n = -v, 0 = -v - 4*p + 3 + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 116\/10 - ((-63)\/35)\/(-3). Determine v, given that -192 - 4*v**2 + 3*v + 2*v**2 - q*v + 186 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 0 + 3 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3387, 9, 93 in descending order.\nAnswer: 3387, 93, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 56076*i - 56076*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*r - 8, -4*c + 2*r - 5*r + 44 = 0. Solve 4 = 4*n, 3*p + n = 2*n + c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 4*r - 5*q + 11, r - 2*q = 0. Let n = 1 - 2. Let v be (-1 + n)\/r + 0. Is v > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38473 and 974?\nAnswer: 76946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + 1304. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + -2*sqrt(76) - sqrt(76) - sqrt(76))*3*4)\/((1*sqrt(4840))\/sqrt(10)) + 3)*-5.\nAnswer: -15 + 180*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*t = -11, -t - 61 + 35 = -9*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 37391*5\nAnswer: 186955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 79 - (156 + -80) - 85\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j. Let w(i) = 219608*i**2. What is w(d(l))?\nAnswer: 878432*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*h - 423*h - 5637 = 196*h - 17986 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216516690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6578558302?\nAnswer: 2, 23, 29, 149, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - d - 40, 3*h - 2*d = 58. Suppose 23*z + 16 = 31*z. What is the highest common divisor of z and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10 = a. Let i = 8 + a. Suppose i*v = -v - 1000. Round v to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 139*o**3 - 36*o**3 + 1482*o**3 - 2*o**2 - 4 + 0 to the form t*o + r*o**3 + h + n*o**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*g - 32 = 0, 3*b - 286*g + 24 = -291*g for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52223576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 156 in 15, -136, 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 7*t - 4*t**2 + 1\/3*t**3 - 14. Factor l(y).\nAnswer: (y - 7)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.11 + -49. Round l to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1372 and 98.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/3)*a*a\/(a**(-4\/5)\/a))**(3\/2) assuming a is positive.\nAnswer: a**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d = -3. Sort 3, d, 0 in ascending order.\nAnswer: d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17805 and 71220.\nAnswer: 71220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 1. Let n(s) = -s**3 + 2*s - 2. Suppose 3*p = a - 2*p - 19, a + 4*p = -17. Calculate a*n(y) - 2*z(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*r - 4193 + 3467 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8)*(0 - 4). Suppose -26 = 4*l - 2*f, -b*f - 40 = 5*l + 3*f. Does 21 divide (-2 + 116)*l\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (sqrt(72) + -2)**2 + 2).\nAnswer: -390 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 3*c**2 + 439 - 466 as g + w*c + k*c**2 and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 15*p**2 + 685*p - 22297. Determine u(-43).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -1481, -5012, -11889, -23228, -40145, -63756, -95177?\nAnswer: -135524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -334, -589, -900, -1267?\n\"Answer: -28*k**2 - 115*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 125568, 126618, 127668, 128718?\n\"Answer: 1050*w + 124518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1200*i - 440*i - 299*i + 1315*i.\nAnswer: 1776*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29785 - 13994. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + d**2 + d + 2. Let g(l) = -4*l**3 - 7*l**2 - l - 4. Determine g(a) + 2*n(a).\nAnswer: -2*a**3 - 5*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2*r + j**2 - 36040238*j*r - 31738644*j - 3 with respect to r.\nAnswer: -3*j**2 - 36040238*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121925663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 14*u**2 - 9*u + 25. Let l be (-7)\/(21\/(-12)) + (1 - 16). List the prime factors of i(l).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -352266 + 352263 + 2*h - h. Let d be 41\/4 - (-1)\/(-4). Suppose -2*i - 2*f + 8 = -d, 4*i = 2*f + 12. What is j(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1017.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -128. Let h(j) = -2*j - 30. Calculate the lowest common multiple of 68 and h(f).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 93.58345592 and -36.29.\nAnswer: 57.29345592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 3, z: 2, p: 4}. Give prob of sequence up.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -89.03?\nAnswer: 35.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278471 is divided by 1543?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5155431 + 2?\nAnswer: -5155427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 605 + -4?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 151114*f**2 + 386443 wrt f?\nAnswer: 302228*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 41285 = 40905 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-615))\/((-11)\/(-66))*(-16)\/16?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 848296000 divided by 1585600\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-106)\/(3 - (3 - -2)). Suppose y = -x + 15, 3*x - u = 2*y + 3*y. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821795521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*c = -144*c - m, -5*c - m = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 485150 by -15650.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-10))\/((-3)\/8). Let f(y) = 5*y - 18. Let z be f(r). What is the third derivative of 7*v**2 - 6*v**2 - v**2 + 2*v**6 + 2*v**z wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -414?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 94*u**2 - 6*u - 287. What is x(-47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*i**(1\/24))\/i*(i\/((i*i**(2\/45)*i*i*i*i)\/i*i))\/i assuming i is positive.\nAnswer: i**(-1441\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 - 4?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/52158662 and -17\/409623.\nAnswer: 156475986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16073 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1215 (base 8) to base 7\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v - 2. Let m be k(-8). Let u = m + -42. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -58, -86, -114?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131559570559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*c - 21*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6*k)\/k)\/k**(-32) assuming k is positive.\nAnswer: k**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1 (c) -0.05 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + 4) - (-5 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 5. Calculate n(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -577 + 800. Suppose -3*k - 5*l = n, l = 4*l - 12. What is k rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6676a - -6?\nAnswer: -66764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3 + 3 = 74*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -44 (b) -4\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267 + -224. Let t(g) = g - 49 - s + 95. Determine t(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60782765 a multiple of 804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1117? (a) 1.8 (b) -5 (c) 4 (d) 0.3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -c - 2 + 7, -5*c - 3*p = -19. Suppose -c*n = 96 - 354. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 8. Let y be w(-14). Let g = 23 + y. Suppose 5*n - 7 = g. Solve 4*v = 6*v - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, 14, -2, 3, 38, 12 in descending order.\nAnswer: 38, 14, 12, 3, 0, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, b: 1}. What is prob of picking 4 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 72. Let r be f(0). Find the common denominator of 52\/11 and ((-33)\/14)\/(r\/14).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17\/4, -3, -5, 746 in ascending order.\nAnswer: -5, -3, 17\/4, 5, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7241 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22348, -44698, -67048?\n\"Answer: -22350*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -4 + -3 + 29 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1097 divide 5335808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*k + 2*l - 30, -k = l - 6. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(sqrt(102) + (-2*sqrt(102) - sqrt(102))))\/((sqrt(54)\/sqrt(3))\/sqrt(3)).\nAnswer: 4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -13*k**6\/30 + 18*k**5\/5 - 10*k**4 + 16*k**3\/3 + 27*k**2. Factor c(t).\nAnswer: -4*(t - 2)**2*(13*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 2*h. Suppose 0 = -9*f - 1 - 8. Let c be 1\/(f + 2 + -2). Calculate j(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-20))\/((a*a**(-1\/42))\/a) assuming a is positive.\nAnswer: a**(-797\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -52 (c) -5 (d) 1\/12 (e) 61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-2)\/6)\/(18\/(-54)) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 40000*i**4\/7 + 816800*i**3\/7 + 533052*i**2 - 655452*i = 0?\nAnswer: -1071\/100, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - j**2 + j - 1. Let s(k) be the second derivative of 9*k**5\/5 + k**4\/12 - k**3\/6 + k**2\/2 - 150*k - 28. What is -i(w) - s(w)?\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 492354361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -534 or -530?\nAnswer: -530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -49*d + 2393. Let q be v(49). What is the closest to 7 in 3\/5, q, 2\/5, -9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {f: 5, t: 3, l: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -4*t, 0 = 2*v + 3*t - 0*t - 19. What is the remainder when 61 is divided by 66\/4 + v\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1282 + -1282.51. What is the third smallest value in -2\/3, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21743 - -21989. Calculate the remainder when p is divided by 84.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51117\/13810 + 2\/1381. Find the common denominator of -53\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -142 in -2\/3, -0.3, -0.04, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -105\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 13) to base 10\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*u + 14*u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3 + 2 - 2*l + 2*l + l. Suppose -3*i - 11 = j, -2*i + 32 = -6*i + 3*j. Determine a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - t + 1. Let h(j) = j**2 - 15*j + 44. Let x be h(8). Let b(a) = 9*a**3 - 12*a**2 + 12*a - 12. Determine x*p(q) - b(q).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4399.\nAnswer: 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 454.4, -0.03, 2 in decreasing order.\nAnswer: 454.4, 2, -0.03, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002847 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -24. Calculate the highest common divisor of z and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 50 - 2 = 0. Put -4, -5, -3, 5, d in descending order.\nAnswer: 5, d, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 = -0*i. Suppose -1 = f - i. Is f\/4 + 63\/6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + j - 3. Let y be b(-8). Suppose -99*l = -y*l + 648. Let 6*i**2 + 72 - 1\/3*i**3 - l*i = 0. Calculate i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -21*q + 4*q. Let a be (-6 + 16)\/(-1 - -3) + q. Solve 2*d + 8 = -a*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -8.34. Let x = 0.3400028 - v. What is x rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-1386)\/(-84) - 17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37432227*g**2 + 74864483*g**2 - 37432235*g**2.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -3.9. Let s = 1 + l. Let p = -35 + 37. What is the nearest to -0.1 in 0.4, p, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 19}. What is prob of sequence rr?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**4 + 4690*x**3 - 2480*x**2 wrt x?\nAnswer: -48*x + 28140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111687993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8))\/(14450\/(-1360)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 16 = 0. Let v be 3\/(-1 - a\/(-10)). Solve -4*y - v*f - 2 = 0, -f + 1 - 8 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33424627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - 0.11. Let z = -0.10594 - -0.2063. Let m = z + v. Round m to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o*u**2 - 140889*o*u + 8*o - 15*u**2 - 49*u - 661 wrt o.\nAnswer: 2*u**2 - 140889*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -42 + 20\/((-40)\/8). Is -45 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*a)*(-4 - 3 + 5) + 0*a + a + 0*a + (-48*a + 54*a - 30*a)*(3 - 2 + 0) + (-2*a + 2*a - 2*a)*(2 - 6 + 2) + (13 - 13 + 3*a)*(2 - 2 - 1).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 7447?\nAnswer: 7446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35377*q**2 - 2*q + 415*q**3 + 2*q - 414*q**3 + 35377*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.142?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 74 = -14*q. Let y = -29\/4 - q. Let x = -20 - -18. Which is the third smallest value? (a) 1 (b) 5 (c) y (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a613d + -3?\nAnswer: 2a613a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*d = 45, w + 55 = -d + 4*d. Let p = w - -382. Suppose -z = -7*z + p. Calculate the greatest common divisor of z and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77142 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 1:11 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26973134 and 1642.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 2*x + 0*x)*(-174 - 98 - 745) + 2*x + x - 2 - 5*x to z*x + k and give z.\nAnswer: -1019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 5, -721, 1, 0.5.\nAnswer: -721, 0.02, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 + 5*l**2 - 6*l + 6. Let o(j) = 9*j**3 + 6*j**2 - 7*j + 7. Let n(p) = p**3 + 4*p**2 - 8*p - 10. Let b be n(-5). Calculate b*o(t) - 6*h(t).\nAnswer: -3*t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45779 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + -2*(2 + (sqrt(1100) + -1)*2 + 1))**2.\nAnswer: 480*sqrt(11) + 17636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 2*g + 2. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.4, -324.8, 0.1, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33681 - 74985?\nAnswer: -41304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 2*l**2 - 8*l + 2. Let p be h(4). Let w be 114\/p + (-2)\/(-6). Let i = 0.1 - 0.5. Which is the closest to -2? (a) i (b) -2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 35*o**2\/4 + 103*o\/4 - 3\/2 = 0.\nAnswer: -3, 2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*n + 0*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + (4*(-1 + sqrt(147) + -4 + sqrt(147)*-2))**2 + 2)*-4.\nAnswer: -11020 - 4480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 0 + 4*y**2 + 0 + 2 - y**3 - 3*y. Let t be c(3). Suppose b - t*n = 13, 0 = -4*n + n - 12. Calculate the remainder when 17 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 6:02 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-35)\/(-30))\/(-7)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 10:04 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6*(-176)\/(-18)*(-9)\/6 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12707131 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.2 (b) 0.106 (c) -5 (d) 2 (e) -0.5 (f) -1298 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85, -238, -409, -532, -541, -370?\n\"Answer: 11*l**3 - 75*l**2 - 5*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -19470*c + 5357. Is n(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589270 rounded to the nearest ten thousand?\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1403279 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -36*p - 23*p**2 + 42 + 12*p + 27*p**2 - p**3. Let k be d(2). Factor 3\/2*j - 3\/4*j**k - 3\/4*j**3 + 0.\nAnswer: -3*j*(j - 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i. Suppose i = w + 4, -f + 0*f = -3*w - 582. Round f to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + -57. Let r be (-25)\/((11\/(-8))\/11). Let a = r + q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20791921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Let w = -12 - -16. Let v = 2 + -2. Sort w, p, v in descending order.\nAnswer: w, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + (sqrt(175) + -2 + -1 + (sqrt(175) - -3*2*sqrt(175)))*-5)**2.\nAnswer: -8400*sqrt(7) + 280441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 n when three letters picked without replacement from bnugh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p + p. Calculate the remainder when (6\/8)\/(4953\/(-416) - -12) is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -8*y + 24574. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**5\/3 + 242*s**4\/3 - 693*s**3 + 2740*s**2\/3 - 236*s\/3 - 224 = 0.\nAnswer: -56, -2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 4*w**2 - 5*w - 14. Let q be c(4). Which is smaller: -29 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 21*i - 2. Give r(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + h + 2*h - 60 = 0, -h = -2*j + 20. Let z(k) = k**2 - 11*k - 12. Let n be z(j). Solve -5 = 4*c + 3*m + 5, -5*c + m - 3 = n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**8\/168 + 2*h**7\/105 - h**5\/15 - h**4\/12 - 3*h**2. Factor j(n).\nAnswer: 2*n*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Suppose -f + 6 = 3*q. Is -2 + (q - -1 - -37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61629*j - 20568*j - 20554*j + 58 - 20554*j.\nAnswer: -47*j + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4\/3 (c) -1\/3 (d) 2\/951\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -1\/6 (b) -1.4 (c) 0.4 (d) -1\/5 (e) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 + 136. Let a = -22 + j. Does 51 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(2 + -5) - 2. Let g = j + 5. Which is the third biggest value? (a) 5 (b) g (c) 0.2 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299282, -292745, -281858, -266627, -247058, -223157, -194930?\nAnswer: -162383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(i - i + 7*i) + 0*i + i + 0*i - 1 + i + 1.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*r + 46*r + 4. Suppose -1 = -3*n + r*n, 0 = -5*u + 4*n + 3051. What is the highest common factor of 26 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((2 - -3) + (-5 - -8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 + 3*d + 2*d**3 - 2*d**3 - 7*d - 4 - d**3. Let c be i(-4). Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231*j**5*n**2 - 2*j**2*n**2 - 13*j*n**2 wrt j.\nAnswer: -13860*j**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*z = 3*n + 183, 4*z + 248 = 4*n. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.2 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/4 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 483 - 453. Solve 2 = 28*d - i*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 239648 or 1299?\nAnswer: 1299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 792 (b) 35 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 12:23 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 274403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -251*p**3 - 287*p**3 + 71*p**3 - 2*p**2 + 2*p**2 - p**3 - 2*p**3 - 5 + 5 + (0 + 2*p + 0)*(-4*p + 4*p - 2*p**2).\nAnswer: -474*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqj when three letters picked without replacement from {g: 2, i: 1, e: 4, j: 3, n: 1, q: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 greater than or equal to 626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 166, 10, 3, 871, -3 in decreasing order.\nAnswer: 871, 166, 10, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18318 - 9818. List the prime factors of h.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -6 (b) -0.1 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 13377.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-six fifths of a hour?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 6*2*sqrt(7)).\nAnswer: -36*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/36670 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 23. Let f(r) = r - 13. Let n be f(t). What is the tens digit of (-58)\/(-4) + n\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4012*i**2 + 2512*i + 240 = 0.\nAnswer: -30\/59, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62636, -103749, -144862, -185975, -227088?\nAnswer: -268201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2 - 14. List the prime factors of (k\/2)\/((-15)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 8*b**2 + 12*b - 26. Let c be i(9). Is c\/((-73305)\/(-18325) + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 less than -863880?\nAnswer: -863906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 25 = -22*j - 23*j. Solve -11 = -5*a + 2*y, -17*a + y = -16*a - j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 3*v**2 - 4*v - 171. Let n(k) = -2*k**3 - 11*k**2 + 13*k + 514. Give 7*b(z) + 2*n(z).\nAnswer: 3*z**3 - z**2 - 2*z - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -67596.121 less than 2530?\nAnswer: 70126.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - p + 2)*(5 + 34 + 16) to the form a + y*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -647152 plus 962114?\nAnswer: 314962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -988, -1094, -1200, -1306, -1412, -1518?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55 - -220b7?\nAnswer: 22062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10\/(-4))\/(58\/((-93728)\/20)) is divided by (-1)\/(((-2)\/(-51))\/(-2))?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 15*x**2 + 14*x + 14. Calculate the remainder when w(-14) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35469118 and 678?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 58*o**3 - 36\/5 - 26\/5*o**4 - 538\/5*o**2 + 62*o = 0.\nAnswer: 2\/13, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o, s + 4 = -0*s + 5*o. Let c = s - -18. Suppose 0 = -3*u + u + 96. Calculate the greatest common factor of u and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407101 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 f(t) = -3. Let u(c) = -8*c + 16. Let z(s) = 6*f(s) + u(s). Determine z(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*b - 40 + 8, -9 = -4*o + 3*b. Suppose -3*t - 1836 = o*t. What is the common denominator of 47\/8 and (-1)\/(-5)*1445\/t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = -222. Calculate the smallest common multiple of (27\/(-6))\/(-3)*(-20768)\/(-1416) and r.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 7*n + 37. What is the remainder when d(9) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 289 - 289 - 2*t**2 + 397*t. Let o(x) = x**2. Determine k(o(p)).\nAnswer: -2*p**4 + 397*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*m = -3100, -4*o + 5*m + 12792 = 413. Suppose 22*h + 21*h - o = 0. Solve -h*x - 6 = -75*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13130832 divided by -78.\nAnswer: 168344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2\/3 - 130*c\/3 = 0 for c.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m - x + 14, m - 10 = -2*x. Let v(g) = -6*g**2 - 24*g. Let a be v(-4). Solve a - 8 = m*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247909498, 495818998, 743728498, 991637998?\nAnswer: 1239547498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than or equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.2 - 3.4. Let y = v - 7. Which is the second smallest value? (a) -4 (b) -5 (c) 2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2715, -5141, -7565, -9987?\n\"Answer: o**2 - 2429*o - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 494553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 44. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 148479 and 6?\nAnswer: 890874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + o**2 + 4*o**2 - 4099*o**3 + 0*o**2.\nAnswer: -4099*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 173, 169, 163, 155, 145?\n\"Answer: -z**2 - z + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 25. Is 2\/n + 4615\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10834 = 29301. Suppose c + 11098 = 5*u. Let m = u - -13475. What is m rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16287, 14501, 9653, 213, -15349?\nAnswer: -38563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3829747 millennia to centuries.\nAnswer: 3.829747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t + 4 = 142*t + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ootttootottttoottoo. What is prob of sequence ot?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2 - 1274*z\/3 - 63308\/3 = 0.\nAnswer: -133, -238\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5 (c) 27.3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00063804 rounded to five decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j**2 - 2*j + 2. Let g be o(2). Let q(d) = d**3 - 2*d**2 - 5*d - 2. Let n be q(4). Calculate the highest common divisor of n and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 + -113. Let k = -1 - -4. Suppose 0 = -2*w + k*s + l - 51, -3*s = 3*w + 45. Do w and -15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 598519272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 0, 1 in descending order.\nAnswer: 3, 1, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 2, p: 1, d: 1}. Give prob of sequence mz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttsst. Give prob of picking 1 t and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 (base 13) in base 15?\nAnswer: 35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.13485643 and -732646.\nAnswer: -732646.13485643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.03 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-44)*((-2)\/9)\/(16\/(-24)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 134?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2854*u**2. Let g(z) = -10*z**2. What is g(r(x))?\nAnswer: -81453160*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17732193, -17732162, -17732089, -17731956, -17731745, -17731438, -17731017, -17730464?\nAnswer: -17729761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7594943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1 * -0.331.\nAnswer: 0.6951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ippiiyiiiippii. Give prob of picking 1 p and 1 y.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 191071.18 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -22241, 3\/2, -0.2, 0.3 in increasing order.\nAnswer: -22241, -0.2, 2\/7, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:24 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*z + 4*q, -z + 12 = -0*z + 4*q. Suppose z = 3*p + p. What is the third derivative of -29*x**2 - 2*x**5 - x**5 + p*x**5 - 17*x**5 wrt x?\nAnswer: -900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 313920 and 14720.\nAnswer: 14440320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32900 rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) -7 (b) 0.3 (c) 8\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 4) + -12 - 2. Let r = i - -25. Suppose 1220 = r*t - 9*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19765271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 t when four letters picked without replacement from pptppttnnppppt.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, x: 3, p: 2}. What is prob of picking 2 i?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 2*x**2 + 2*x - 1. What is k(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 27*y**3 - 2*y - 2. What is c(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35275*m**2 - 35279*m**2 + m**3 + 131*m - 39*m to the form z*m**3 + y + f*m + b*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 + 91*u**2 - 496*u + 44. What is o(23)?\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9646623ml to litres.\nAnswer: 0.0009646623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.9. Is q > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110101010111011010 + 10000?\nAnswer: 1000110101010111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468*-0.4.\nAnswer: 187.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v - 5*l = -15, 3 = v + l. Suppose 4*r - r = v. Is (-174)\/(-3) - (r - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 346010*g**2 + 14941982000*g + 2023478523000.\nAnswer: 2*(g - 86570)**2*(g + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2859740.\nAnswer: 1\/1429870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 5. Let z be ((-4)\/(-5))\/((-8)\/60). Let u be l(z). What is the greatest common factor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(0 + 3) - 3. Let l be 4\/14 + 180\/a. Suppose -96 = -5*v - l. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (12 + -4 - 5) + 5 + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - 71\/(-4). Let w = 33 - g. Suppose 18 = 2*c + 2*p, -4*c + 3*p - 3 = -c. Solve k - w = c*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o + 8. Suppose -4*v = -11 + o. Solve -v*x + 1 = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/6*(-220)\/880*18\/(-16). Let z = -1 - -0.8. Which is the closest to 1\/2? (a) z (b) o (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-48)*-4)\/((675\/72)\/(-25)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 112293.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0522 - 0.0522. Let h = -1 - 2. Let t = -9.95 + -0.05. What is the smallest value in i, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**2 + 3*v + 27. Give o(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 6. Let i = 6.38 + -6. Let u = i - 0.08. What is the nearest to o in u, -3\/5, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(475) + 0 - sqrt(475)) + sqrt(19))*2)**2.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 1. Suppose 2*k = -0*k - 8. Let w(t) = -5*t**2 + 2*t + 4. Let l(g) = k*u(g) + w(g). Find the second derivative of l(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284.22 minus -0.1?\nAnswer: -1284.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/7 + -39\/35. Let b = -3.27 + -0.76. Let i = b - -0.03. What is the closest to c in i, -2\/5, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 5*f**2 - 4*f + 5. Let t be m(-4). Suppose t*o - 101 = 124. Let n(b) = -4*b - 9. Let g be n(-6). What is the highest common factor of g and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192546 is divided by 32020?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -112\/11?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Let q = -1 + j. Differentiate 3 + 0 + 2*v - q wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - p - 27, -2*s + 18 = -4*s - 2*p. Is s smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 114*j**2 - 4*j - 5. Let o be -2 + (-4)\/(-1) + (-2)\/2. Let q be (o + -3)\/(10\/(-15)*-3). Does 17 divide y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 11. Determine d(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 6*n - 39, 4*u + 1 - 16 = -3*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/(2\/(-12)). Let a = -6 - -4. Let o be (a\/3)\/((-1)\/3). What is the second smallest value in 3\/7, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6cab1 (base 15) to base 9\nAnswer: -577474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -13*a + 668. What is the least common multiple of a and 72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152\/7 - 22. Let g = -54861 + 54862. Which is the nearest to q? (a) 2 (b) 3\/7 (c) g (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4794*t + 8678*t + 6239*t.\nAnswer: 10123*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (-2 + 6)) + 42 + -42.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(128) + (sqrt(128) - (sqrt(128) + -3)) + 1 + sqrt(6)\/sqrt(3) + sqrt(2))**2.\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18922\/1425 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g - 43 + 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, 33, 85, 159?\n\"Answer: 11*o**2 - 3*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(28))\/sqrt(4)*6 + sqrt(84)\/(((sqrt(96) - 5*sqrt(96)) + sqrt(96))\/sqrt(8)) + 0.\nAnswer: 35*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (658\/47 - 12)*(1\/6 - 0). Factor -i*j**2 - 4\/9*j - 1\/9.\nAnswer: -(j + 1)*(3*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 41*i**3 + i**2 + 2. Let b(h) = -82*h**3 - 2*h**2 - 5. Calculate -2*b(d) - 5*r(d).\nAnswer: -41*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*h + 333*h + 1682 = 4*b, h - 129 = -3*b for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -49. Suppose 3*j + 9 = v. Suppose -j = -4*o + 3*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322044 >= -322053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13655696 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + y + 4 + 2, -2*k + 3*y = -14. Let f = -36 - -42. Let r be (2\/f)\/(27\/(-1377)). Sort k, 0, r in descending order.\nAnswer: k, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**3 - 26135 + 26135.\nAnswer: -25*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:13 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) 4 (c) 1 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 21*q**2 + 16*q + 1. Let v(y) = 2*y**3 + 43*y**2 + 32*y + 2. Let c(b) = 9*i(b) - 4*v(b). Calculate the least common multiple of 1 and c(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 13328*h + 278575. What is t(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1696*y - 23740. Determine b(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2477 + 2476.7. What is the closest to u in -0.36, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.80000168 - 23.8. What is b rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 5*u**4 + 7 - u**5 + (u**4 - 3*u**4 + 4*u**4)*(3*u + 4*u - 5*u).\nAnswer: 3*u**5 + 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 337397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5125 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9) + sqrt(9)*-3)*6)\/(6*(sqrt(3) + 3*sqrt(3))))**2 + -5.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8114*u - 3939*u - 3209*u as g*u + b and give g.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (9 + -3 + 1). Let t = -3 - o. Suppose -p + 3*p + 10 = 4*b, t*p = b + 2. Solve 2*k = b*a + 24, -4*k + 3 + 1 = 3*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*u + 176. Suppose -3*b + 77 = -u. Suppose -2*f + 50 = 5*r, 0*r - 3*r - f + 30 = 0. Calculate the remainder when b is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 64 = -4*n, 5*n + 4*a - 97 = -18 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**5\/7 + 9676*s**4\/7 + 4546100*s**3\/7 - 1662853084*s**2\/7 - 718459032*s = 0.\nAnswer: -1327, -3, 0, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21368 + 21317. Which is the smallest value? (a) -32 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -90, -134, -178, -222?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99767 + 364165 = 135*q - 63108. What is the highest common divisor of 448 and q?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = 701 + 306. Let u = w - -55. Solve 3 = 5*i - z, 2*i + z - 2 = u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - ((-34 - -41) + 0 + 43 - 12).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49.015 + -49. Let s = -0.01 + t. Round s to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1534646 tonnes?\nAnswer: 153464600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 195. Let q = i + 81.8. Let r be 14\/6 + (-3)\/9. Which is the second smallest value? (a) q (b) -5\/9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 smaller than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -14. Suppose -13*q = -27*q + 56. Calculate the smallest common multiple of l and ((-7)\/q)\/(11\/(-176)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + ((3 + sqrt(2299) + 2)**2 - sqrt(2299)) + -5)*3 + -2)*-4.\nAnswer: -27844 - 1188*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -23 (b) -0.4 (c) -1\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -798 - 8a0?\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -523, 16, -5 in decreasing order.\nAnswer: 16, -5, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o = 3*o + 58 + 70 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(76)*-1)**2*1 + 0.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/29, -0.8, 0.3, -0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, j: 1, a: 2, f: 3, h: 7}. Give prob of picking 1 h and 1 b.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 - 4*i - 1. Let q(z) = -z**2. Let o(c) = l(c) - 6*q(c). Let v be o(5). Solve -v*x - 11 = 3*n, 4*n - 2*x - 22 = -0*x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2287, -2295, -2307, -2323, -2343?\nAnswer: -2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402296?\nAnswer: 2, 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 - 7*f - 27*f**3 - f - 27*f to the form o*f**2 + h + z*f + n*f**3 and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2232, -639 in descending order.\nAnswer: -2, -639, -2232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/72456 and 41\/40.\nAnswer: 362280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9996, 10117, 10238, 10359?\nAnswer: 10480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 32 + 5 + 31 + m to the form l + j*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3706 - -2?\nAnswer: 3708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m*m\/(m\/(m\/m**(-14))))**(-11\/8) assuming m is positive.\nAnswer: m**(-165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -130*f**3 + 12*f**2 + 19*f - 43. List the prime factors of d(-5).\nAnswer: 2, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19546 + 4886 + 4875 + 7*h + 4895 + 4890.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 1. Let f be 2 + -62*(2 - (-12)\/(-8)). Let q = 39 + f. Let h(j) = 7*j - 3. What is q*d(g) + 4*h(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -22785 at most as big as -22941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(130)\/sqrt(90)*-4 + (sqrt(13) - (sqrt(52)\/sqrt(4) + 2) - sqrt(13)) + -4).\nAnswer: 24 + 28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2226 - -2226.00594. Round c to four decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13616 - 9474. Is (-4)\/(-48)*8 - l\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 0*z + 0*z + z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrs when three letters picked without replacement from rrirrirossrrrr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 9*l**2 - 7*l - 18. What is t(-7)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 12:13 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16025 + 16028. Solve 5*l + 2*q + 14 = 0, 389*q + 16 = -g*l + 384*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138699 + -77156. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2055*v - n = -2055*v + 2*n - 16 + 4, -n = -3*v + 227 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010584166867 to six dps.\nAnswer: -0.010584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26562080, 26562092, 26562116, 26562158, 26562224?\n\"Answer: q**3 + 5*q + 26562074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)*(n**(-4)\/n)\/n)\/((n*n**(-4))\/(n*n*n**(2\/5)\/n*n*n))*(n*n*n**(2\/9)\/n*n*((n*n*n**(-3))\/n)\/n)**(-26) assuming n is positive.\nAnswer: n**(3757\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(72) + 4 + 2*1*sqrt(72) + -5 + (sqrt(72) - -5*(sqrt(72) + -5 + sqrt(72)))*-4)**2.\nAnswer: -57024*sqrt(2) + 175689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s - 154 = 13*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -2. Let c = -15 + 3. What is the smallest common multiple of c*(0 + 1\/(-2)) and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427961, 856431, 1284901, 1713371, 2141841?\nAnswer: 2570311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58424632 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -8, -2\/13, -5, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 3651 = -3447 + 2584 for z.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -255*j**2 + 65025*j + 1\/3*j**3 - 5527125 = 0. What is j?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/3 + 1078*j**4\/3 - 17489*j**3\/3 + 16582*j**2\/3 + 188308*j\/3 + 153160\/3 = 0?\nAnswer: -1094, -2, -1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*r - 771 - 78 = 0. Let p(j) be the third derivative of 0*j + 4*j**r + 0 - 1\/15*j**5 + 1\/6*j**4 - 20*j**2. Factor p(c).\nAnswer: -4*(c - 3)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/15 + (-306)\/45 + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120c37 (base 15) to base 6.\nAnswer: 30301041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by -102.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 6*a + 72. Let d be u(12). Solve d = 2*i + 4*h - 6 + 2, -2 = -i - 5*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:07 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*c + 4320 = -61*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 - 0.73. Let i = -1.1 - z. Let m = 225.01 + -225. What is the nearest to 1 in 0.3, i, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -7 + (1 - (3 - 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 136 + 116. Solve -6*p = 2 + r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454030 divided by -27267?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-84))\/(654\/763)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2960210 and -1001.8742?\nAnswer: 2961211.8742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210230 + -20?\nAnswer: 210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m. Let a(g) = -g**2 + g + 2. Let c be a(m). Put -2, c, 3 in descending order.\nAnswer: 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, -3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 550?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -3721*t**6\/210 + 61*t**5\/35 - t**4\/21 + 3*t + 138. Suppose s(p) = 0. What is p?\nAnswer: 0, 2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53635\/4303 + -162\/13. Let o be 3*(-4)\/24 + 0 + (-33)\/(-22). Which is greater: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 8*r**2 - 27*r + 32. Determine b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o*o\/(o**0*o))\/o))**(-27)*o**4*o**(2\/15))**(-2\/111))**5 assuming o is positive.\nAnswer: o**(686\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 + 0\/(-7 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21707817, -21707815, -21707813, -21707811, -21707809, -21707807?\nAnswer: -21707805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342601560 and 4761?\nAnswer: 4761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**0*o))*o*o*o*o*o*o)**(-3)*(((o**(-6)*o*o)\/o)\/o)\/(o*o*o**(2\/7)\/o))\/(o**(-2\/3)\/o*o**(1\/4)*(o\/o**(-1\/2))**38) assuming o is positive.\nAnswer: o**(-7045\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 28*w - 1075. Give c(38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*i + 0 - 14 = 0, -2*o + 16 = -2*i. Suppose 2*u - 8 = 0, -5*l + 44 + 93 = 3*u. Calculate the highest common divisor of l and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 149. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 divided by -68?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -1981*h**6\/30 - 2387*h**5\/20 - 2*h**2 - 2*h + 43. What is the third derivative of u(b) wrt b?\nAnswer: -47544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g**2 - 29*g + 5*g + 12*g + 84*g**2 + 12*g.\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561614.\nAnswer: 2, 23, 29, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9822430 is divided by 2746?\nAnswer: 2734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + p + 127. Let d(c) = -3*c**2 + 2*c + 254. Calculate 3*d(s) - 7*g(s).\nAnswer: -2*s**2 - s - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 4*w + 3. Let m be s(-5). Suppose 40*r + 510 = 74*r. Calculate the remainder when r is divided by m + 12 + 0 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**5)\/y**(2\/9)*y\/(y\/((y*(y\/(y\/y**(5\/7))*y)\/y*y*y*y)\/y))*y*((y**(-2\/91)\/y)\/y)\/y)**(11\/5) assuming y is positive.\nAnswer: y**(-682\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/121 + -116\/605. Suppose 2*h - 3 = -1. Let i be ((-3)\/6)\/(-2*h). Which is the biggest value? (a) k (b) 8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16780 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163838814*z**5 - 69467361*z**2 wrt z?\nAnswer: 9830328840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4336981 - 3?\nAnswer: -4336984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + (-10 - (-13 - -22 - (14 + -3)))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -10. Let n = -43324\/1515 + -1\/303. Let z = -29 - n. Which is the biggest value? (a) j (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24660743*r**6 - 9587*r**2 + 1920*r wrt r?\nAnswer: 2959289160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - 3 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680305 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -5)*-2*4\/(-8). Let h(z) = 2*z + 21. Let c(u) = -3*u - 21. Let p(s) = v*h(s) + 3*c(s). What is the first derivative of p(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236698.\nAnswer: 2, 7, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163718 and 575266.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1334 and 33\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108697.\nAnswer: 73, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3478407*d + 3478436*d - 6956739*d.\nAnswer: 104*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1 + -4)\/((-1)\/26). Let f = s + -31. Calculate the remainder when f is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 - 8 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/273683 + 34756967\/70610214. Let p = 1\/129 + v. Put 1.9, -3\/8, p in decreasing order.\nAnswer: 1.9, p, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/2 - 0\/(-11). Suppose -k*o + 1160 = -2947. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 4. Let r(m) = 6*m. Let s be 0\/(-4) - (1 - -10). Let w(d) be the third derivative of d**4\/24 - d**2. Calculate l*r(p) + s*w(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r + 6. Calculate l(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - -1) - (-25 + -71 + 75)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 + -121. Calculate the greatest common factor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 17*a - 7. Suppose -c + 31 = a. Solve 12*x + 30 = -c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 2 - 4) + (-31)\/76. Let t = 9967\/532 - z. Are t and 19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b + -8fa67f?\nAnswer: -8fa69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3588 + -0.1412. Let t = -40 + 39.77. Which is the smallest value? (a) t (b) 1\/2 (c) 0 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -169, -719, -1635, -2917, -4565?\n\"Answer: -183*g**2 - g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 32. Suppose 0 = 3*u - u - 36. Calculate the greatest common factor of i and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 9*j = 6. Suppose -21*g = -24*g + j. Suppose 3*a = -x - g, a = -0*a + x - 2. What is the smallest value in -5, a, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -405, 932, 2, -6.\nAnswer: -405, -6, 2, 932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-36)\/126)\/(-2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -7. Let z be w\/(-2 - -3)*4. Let p = 1 + -3. Sort p, z, 2 in descending order.\nAnswer: z, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*s**3 + 29*s**2 - 3?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -288*u**4 + 4*u**3 - 7937*u**2 + 4*u + 10112724 wrt u.\nAnswer: -3456*u**2 + 24*u - 15874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -43*b**3\/6 - 131*b - 142. Let x(s) be the first derivative of i(s). Let w(q) = 3*q**2. What is x(w(m))?\nAnswer: -129*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 11*a + 20*a = -8*r + 5, 0 = 4*r - 4*a - 51 + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(24\/(-9)))\/((-6)\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 10. Suppose -24 = 2*p - n*p. What is the third derivative of -m**6 - 7*m**p + 0*m**2 - 9*m**2 + m**2 wrt m?\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 3*k. Do 9 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12 = g, 3*g - 5*y + 1915 = 1951 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1567, -1565, -1561, -1555, -1547, -1537?\n\"Answer: z**2 - z - 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/5, 30, -8113, -2\/9, 4, 1, -0.6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4122 = -591*o + 133*o. Let c(i) = 2*i**2 + i - 2. Let q be c(-2). Solve -o*s + q = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -3*x**2\/2 - 30. Let k(y) = -2*y**2. Give k(z(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 14 = y. Let u = 15 + y. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/189*1\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 447914659 to the power of 1\/2, to the nearest integer?\nAnswer: 21164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3402)*-2 - sqrt(3402))\/(sqrt(6) - (-2*sqrt(216) - sqrt(6) - sqrt(6) - sqrt(6)))*-2)**2.\nAnswer: 5103\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (1 + sqrt(1152) + (sqrt(1152) - ((sqrt(1152) - (-3 + sqrt(1152))) + sqrt(1152))) + sqrt(1152))*2)**2.\nAnswer: -92340 + 5760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 9*h + 5*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9565127?\nAnswer: 11, 13, 66889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3073757?\nAnswer: 3073757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v - 3*v)*(5 + 1 + 0) - 1 + 1 + 8*v + (v - 2*v + 0*v)*(-2 + 0 - 1) as y + m*v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14533.\nAnswer: 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1757771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 40*a**2 + 28*a**2 in the form f + d*a + r*a**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + s - 8 = 0, 0*y - 16 = -2*y + 2*s. Suppose 4*t + 5 = 5*o, 6*o - 5 = o - y*t. Let m be (o + -2)*(-1)\/(-1). Is -3 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 10:15 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3209336 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 + 16510*m + 198500. Give o(-12).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198180?\nAnswer: 2, 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.80442594 rounded to two dps?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -318210407 and -18653.\nAnswer: -318229060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -132725 (base 16) to base 15\nAnswer: -19bda5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1287 divide 77040946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/69? (a) 0.5 (b) -0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3420697 kilograms to micrograms.\nAnswer: 342069700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-86 + 6996)*(-1 + 2) is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 3*j + 190 + 196 + 197 - 775.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 11 = -19. Suppose 95 = 2*n - l, 0 = 5*n + b*l + l - 210. Find the second derivative of -4*j**2 - 8*j**5 + 4*j**2 - 42*j + n*j wrt j.\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -270 + 271 - ((4 - (0 + -2)) + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10787*h**2 - 3618*h - 402. Let x(a) = 134*a**2 + 45*a + 5. Let l(i) = 5*u(i) + 402*x(i). Let f(k) = -7*k**2. Calculate f(l(t)).\nAnswer: -31423*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 16 - 42)*(47*t**3 + 562 - 562 - 3*t) to the form r*t**3 + z*t + j + n*t**2 and give r.\nAnswer: -1551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/17 (b) 5 (c) 1\/292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26768363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2941 + 6031. Suppose -3*i = -1080 - a. Suppose -n + 2*f + 803 = 2213, 0 = -n - 2*f - i. Round n to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74902 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4832*r - 4832*r + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14128793297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 - 6 + 2 + 3*z**2 + z**4 - 4*z**2 to t*z**3 + i*z**4 + d*z**2 + v + x*z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338e (base 16) in base 5?\nAnswer: 10004414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - ((10 - 2) + -2 + -10) - -18?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 + -1 - (11 + -13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 3*a**3 - 3*a + 6*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 11*t**2 - 19*t + 10. Let r = 67 + -58. Calculate the lowest common multiple of y(r) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2) + 3 - 1. Let u(q) = 8*q - 36. Let n be u(5). Suppose v = -j - n*j + 35. Calculate the remainder when j is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -593 divided by -8\nAnswer: 593\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**13\/(h\/h**(-14))*h**(-3\/13)\/(h*(((h**(-12)*h)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(140\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1034*x + 7. Let n(o) = 1034*o + 8. Let z(w) = 4*a(w) - 3*n(w). Let d be z(1). Suppose -4*r + 2*r + d = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18447 + 18705. What is the third smallest value in -2\/13, -0.4, 3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*p - 50 = 0, 56 - 30 = -5*f - 3*p. Is (f - 160\/(-12))*27 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 + 43*j + 8. Let w = -165 + 174. Let b be p(w). Let u = 7\/3 - 23\/9. Sort b, u, -3 in decreasing order.\nAnswer: u, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*o = -6, 5*s + 2*o + 3 = 48. Let h = s - 0. Let c = h + -4. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 5 + 5 + -5 + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmhmaqtrramamm. What is prob of sequence thq?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1577064)\/(-3588) - (-12)\/26 is divided by 433.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n - 24450475 + 12225218 + 12225257.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1743.93 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63.5918 and -0.4.\nAnswer: 63.1918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9) + 143*250\/19800?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3.26692 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -0.4, 6 in descending order.\nAnswer: 6, 3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -10. Let v(y) be the third derivative of 0*y**4 + y**2 + 1\/3*y**3 + l + 0*y + 1\/60*y**5. Differentiate v(i) with respect to i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -498 + 492. Which is the closest to w? (a) 2\/7 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*s, m + m + 2*s = -11*m - 5*s + 38 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -246 + 499. Let l = -241.3 + a. Let t = 11.761 - l. What is t rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2 - j**2 - 7*j - 2 - j + 3*j. Suppose -2*q - 6 = -0*q. Give m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 2236?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1295\/4 + -324. What is the nearest to a in -1\/3, 2\/17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 1*(0 - (-579 + 0)) - (314 - 315).\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1467*u + 2936*u + 682*u**3 - 1469*u - 2900*u**2 wrt u.\nAnswer: 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let c(y) be the second derivative of 13*y**3\/2 + y**2 - 2*y. Is c(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o. Suppose -a = i + 10, o*i + 4*a = -2*i - 30. Let m(s) = s**2 + 5*s + 3. What is m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 61 = 4*o, -4*o - 304 = -4*x - 0*o. Let q = x - 77. Let w(h) = 7*h**2 + 4. Is w(q) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27624 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15289362?\nAnswer: 2, 3, 11, 37, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65828832 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0199 and -0.3?\nAnswer: -0.00597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 104 = -14*v. Let s(b) = -2*b - 5. Let d be s(-5). Suppose -5*y = -d*x - 5, 2*y - 2*x = y - 2. Solve -v = -y*m + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.2, 2\/13, -2\/13, -2\/7 in increasing order.\nAnswer: -2\/7, -2\/13, 2\/13, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -14 - (3 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 1949*b - 217536. Determine x(-846).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -0.4, -3\/182, 4.1?\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/240 - 11*g**4\/32 + 31*g**3\/12 + 32*g**2. Factor p(o).\nAnswer: (o - 31)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40102 rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 4*k + 7*k**2 - 3*k**4 + 1 - 10*k**2 - 5*k**3 + 2*k**4 + 8*k**2 to y*k**2 + n*k**4 + q + c*k**3 + t*k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, 15, 19, -2 in ascending order.\nAnswer: -13, -2, 1, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xcjjssjnjjmjxccmmjmj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 6*f**2 - 2*f**3 + 8 + 15*f**2 + f**4 in the form r + d*f**2 + j*f**3 + h*f**4 + g*f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -534*i**6 + 1087*i**2 - 4566. What is the second derivative of x(k) wrt k?\nAnswer: -64080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 3\/4, -50\/6793 in decreasing order.\nAnswer: 3\/4, 0.11, -50\/6793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*k + 20 + 16 = 0, 3*k = 5*a - 60. Suppose 260*c + 180 = 263*c. Calculate the highest common divisor of a and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*r**3 - 18*r + 147*r + 29*r + 1214*r**3.\nAnswer: -2*r**3 + 158*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k**2 + k**2 - 24*k - 3*k**4 + 28*k + 11*k**2 to b*k**2 + t*k + x*k**4 + c*k**3 + r and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((330\/(-195))\/(-11))\/(2\/(-4))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 10. Let c be a(-10). Suppose -4*d + 225 + 7 = c. Let r = 7 + d. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2559 and 392076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 122114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*i - 27*i - 46410. Let s(o) = 112*o**3 + 119*o**2. Let d(q) = -q**3 - q**2. Give i*d(k) + 6*s(k).\nAnswer: -42*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488176?\nAnswer: 2, 281, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/35 in -19, -318, 1, -8\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 871*p + 6971. Give b(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 - 5*p + 46\/5.\nAnswer: (p - 23)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17, 38, 57, 74, 89, 102, 113?\n\"Answer: -o**2 + 24*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14141*l + 14141*l - 58*l**4 + 6*l**3)*(4 - 5 + 3)*(6 - 2 - 2)*(-2 - 1 + 10) in the form n*l**3 + v*l + t + k*l**4 + u*l**2 and give n.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -162\/5 (b) 1\/3 (c) 101 (d) 5 (e) 2\/9 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-15 - -35) - (-4 - (1 + 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -70*h + 32. Let n be p(-6). Suppose -4*j - j - 4*x + n = 0, 0 = -3*j - 4*x + 276. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 8.2, -4\/9, 0.3, -3\/7, -160.3, -17?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 9:39 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 + 61*u**3\/3 + 759*u**2\/2 - 5445*u + 1286. Find t, given that g(t) = 0.\nAnswer: -33, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pupvpul. Give prob of sequence vpul.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.070472373 to five dps.\nAnswer: 0.07047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5854 is divided by 85.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from bwdnwjnwdwwbwntww.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -53 - 4*f + 12*f + 14. Let z be p(5). List the prime factors of 154\/4*(z - (-6)\/6).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-792)\/6534)\/(1\/(-4)*16\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11\/3)\/(11\/165)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/14)\/(9\/18) + 59*2. What is the greatest common factor of 4563 and x?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/267 and 46\/27?\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 22. What is the nearest to -1\/2 in l, -2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6887)\/(-284) + -24)\/((-2)\/(1232\/2)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -27d (base 15) to base 12\nAnswer: -3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1510 and 3\/(54\/3) + (107802\/(-20385))\/53.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*q = -124*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/4)\/(z\/((z*z**(9\/5))\/z)))\/(z\/(z**31*z)*(z*z**(-22))\/z) assuming z is positive.\nAnswer: z**(1051\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:39 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147481, -147299, -147117, -146935, -146753?\nAnswer: -146571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**4 + 3*x**3 + 11*x - 1 - 1 - 1. Let y(i) = -18*i**4 - 5*i**3 - 21*i + 5. Let b(r) = -5*u(r) - 3*y(r). Find the second derivative of b(n) wrt n.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113\/420 - 2\/105. Which is the closest to 0? (a) -3\/2 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1400 (base 6) to base 8\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o\/(o**(-4\/5)\/o*o*o)*o)*o)\/o)*o*o**(4\/7)\/o*o*(o\/(o*o**(2\/7)*o))**(-11\/2))**(-8) assuming o is positive.\nAnswer: o**(-3204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (428\/3 - (-49)\/147) + 10. Calculate the highest common divisor of x and 4947.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -524 + 524.266. Let v = -0.466 + a. Let r(f) = f**2 - 9*f + 10. Let g be r(8). What is the third smallest value in -5, v, g, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.1095 + -0.0505. Let l = -4.24 + c. What is l rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33275, 66566, 99869, 133184, 166511, 199850?\n\"Answer: 6*m**2 + 33273*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-135))\/((-6)\/594*11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 26*t**2 - 110*t + 91. Let h be d(21). Put -4, 6, h, -3, -2 in descending order.\nAnswer: 6, -2, -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.051*-22.\nAnswer: -1.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57953 (base 11) in base 6?\nAnswer: 1443205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + i - 27 = 0, -5*x + 12 - 54 = -2*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.76 + -0.16. Let h = l - 0.6. Let k = h + -9. Which is the second smallest value? (a) 3\/2 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/(x\/x**14*x*x))**(-18) assuming x is positive.\nAnswer: x**(-1350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372736.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -0.194994.\nAnswer: 2.805006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412464925.\nAnswer: 3, 5, 13, 1171, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-87633)\/(-3) - (-2 + 0). What is the second derivative of 90*a - 14*a**2 + 114*a - 123*a**2 + 29213 - v wrt a?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 94405892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/272776 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/24 - s**5\/30 + s**3\/6 + s**2. Let p(b) = -b + 6. Let m be p(7). What is the units digit of c(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i - 35*i + 588. What is the remainder when 345 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37568689751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11814 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**7\/420 - n**5\/24 - 17*n**3\/3 + 11. Let c(o) be the third derivative of b(o). Find the second derivative of c(y) wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -11*m + 5. What is c(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 4571?\nAnswer: -41\/4571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -27. Let l be -2*7*1\/(-2). Let y(u) = u**2 - u - 1. Let k(r) = 2 + 2*r**2 - 3*r + r**2 - 5. What is l*y(f) + z*k(f)?\nAnswer: f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1945, 3, 0.4, 1, 5, 0, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8232, 2\/15, 3 in increasing order.\nAnswer: 2\/15, 3, 8232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -293, -1146, -2563, -4544, -7089, -10198?\n\"Answer: -282*c**2 - 7*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 1, x: 1, v: 1, u: 1, m: 2}. What is prob of sequence fmx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**4 - 16206419*m**3 - m**2 - 246584190?\nAnswer: 4*m**3 - 48619257*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + -11.4. Let a = -12.1 - x. Let y = a + -1. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2 + (44\/33 - (-2681)\/3). What is the greatest common divisor of 663 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f*f**(4\/11)\/f)\/(f\/(f*f**(2\/23))*f*f**(-2)*f)*(f**(-1\/8)*f**(-12)\/f*f)**(3\/14) assuming f is positive.\nAnswer: f**(-4183\/28336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8915576 to the nearest integer?\nAnswer: 2986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 866 + 1490*d**2 - 2*d - 1891 + 1022.\nAnswer: 1490*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -436.5 + 361. Let v = -75 - b. What is the closest to 1 in 2\/5, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = 2*k - 372. Let t = 853 + -599. Let m = t - k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 14*l + 13. Let x be z(-13). Suppose x = o - 0 - 13. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*g + 6 = -4*g, -p - 2 = 4*g. Suppose d - 2*b = -p*d + 85, 2*b = d - 31. Let q be (-16)\/6*d\/(-36). Solve 4*y + 2 = -5*r, q*r = 5 - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16349533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uam when three letters picked without replacement from ewamxux?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 = 14. Suppose -2*n = -q + 11, -q + 2*n + 26 = -s*n. Which is the second biggest value? (a) -1\/2 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 41 = 2*y + 1, 4*y = -w + 14. Suppose -k + 7 = -d + w, 2*d - 40 = 4*k. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q - 2*q - q)*(0*q - 2 - q + 0).\nAnswer: -11*q**2 - 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1857*f - 116. Let s(x) = 3714*x - 248. Give -7*s(j) + 15*z(j).\nAnswer: 1857*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3299473 and 37797?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 23 = 2*c, c + 4*v - 12 = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**5 + 2 - 2)*(-4 + 4 - 1) + (4*g + 2*g - 4*g)*(-3*g**4 - g**4 + 3*g**4) - 5*g**5 - 3*g**2 + 3*g**5 - g**2.\nAnswer: -6*g**5 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(220))\/(sqrt(500) + -2*sqrt(500)*3).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 770 divided by 2232.\nAnswer: 385\/1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 69721745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let r(z) be the second derivative of -z**3\/6 - 10*z. Let n(u) = -4*u - 1. Give m*n(d) - 2*r(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1590, -6\/7, 2, 0.1, -2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 26 + 28 = 0. Let k(c) = -3*c - 5. Let w be k(n). Sort 2, 4, w, 35 in ascending order.\nAnswer: w, 2, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4 - 486*p. Let x(f) = 28*f - 2. Let s(n) = -113*n + 9. Let j(q) = -2*s(q) - 9*x(q). Calculate u(j(w)).\nAnswer: -8112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*k = -42, -q + 4*k - 53 = -4*q. Let m = -17 + q. Suppose 4*h - 4*b - 108 = 0, 7*h - m*h - 141 = -b. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1249 + -4?\nAnswer: -1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2393000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4765 - 1002 + 5767 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 75.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-68)\/(-14) - 21\/(-147). Factor 1\/3*w**4 + 1\/3 - 1\/3*w**j - 2\/3*w**2 + 2\/3*w**3 - 1\/3*w.\nAnswer: -(w - 1)**3*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169519937 times -1\nAnswer: 169519937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(200) - (sqrt(4)\/sqrt(2) + 0)**2.\nAnswer: -10*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 3. Let b be j(-11). Let k = 29 - b. Suppose -2 = 4*f - k, -5*z = -4*f - 12. Put 0, z, -5 in ascending order.\nAnswer: -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 645 by -5.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/10333 - 671657\/61998. Sort s, 0, 0.2 in increasing order.\nAnswer: s, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 12680.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f**2 + 3*f**2)*(13 - 11 + 25) + (-3*f - f - 2*f)*(-5 + f + 5).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**2\/3 + 8560*r\/3 - 2855 = 0.\nAnswer: -1713, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.9216 hours to minutes.\nAnswer: 46855.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -1 - -19 - ((0 - -3) + -71)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/((b*b\/(b*b**(-26)\/b))\/b))*b*b*b*b*b*b\/(b\/(b*b**(-3)))*b assuming b is positive.\nAnswer: b**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21616 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79428, 158850, 238272, 317694, 397116?\n\"Answer: 79422*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3)\/m*(m*m*m**(-1)\/m)\/m*(m**(-1))**(-2\/59) assuming m is positive.\nAnswer: m**(-234\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, 1\/7, 561482?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 408*k**3 - 18630*k**2 + 291600*k - 273375.\nAnswer: -3*(k - 45)**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-19)*x**(-3\/19))\/(x**38*x**(-9)) assuming x is positive.\nAnswer: x**(-174\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 123.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -230*j + 1141. Determine b(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116.742*-4.06.\nAnswer: 473.97252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*a - 4. Let a*r**2 - 2*r**3 - 3*r**2 - 3*r**2 + 6*r**2 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = 3*a. Let r(l) be the third derivative of l**5\/60 + l**4\/8 - l**3\/6 + 9*l**2. Give r(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 3*m + 8. Let j(n) = n**3 - 5*n**2 - 6*n - 7. Let g be j(6). Is f(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8. Suppose -2*v + 2*p = -6, -5*p = 5*v - x*v - 15. Suppose 3*k + v*n = -3 - 6, 3*n = -9. Solve -b - 2*b = k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 0.03, -0.03, 5, -29 in decreasing order.\nAnswer: 5, 0.03, 0.02, -0.03, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 32*v + 1. Calculate b(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*g - 2*g - 49 = 0, 5*g + 83 = 2*o. Let c = -12 + o. What is the units digit of 2\/(70\/c + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/145?\nAnswer: 9\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1738*r = -874*r - 878*r + 602. Sort r, 1, -3, 3, -5.\nAnswer: -5, -3, 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2, 19*g - 24*g = 5*d + 50. Which is smaller: -85 or g?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -178? (a) 9641\/5 (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t. Solve -5*n - 4*l - 5 = t, 3*l = -3*n - 2 - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26*b\/b**5*b**(1\/9)*b*b\/b**(25\/2))**(-4) assuming b is positive.\nAnswer: b**(-418\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6728903 to three dps.\nAnswer: -2.673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -215*v**2\/2 + 234*v + 219. Find the first derivative of l(w) wrt w.\nAnswer: -215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 3\/2. Which is the third biggest value? (a) r (b) -3 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 1. Let s be g(6). Let u(l) = -114*l - 5 + 114*l - 4*l**3 - s*l**2. Let z(v) = 14 - 6*v**3 + 12*v**2 - 2 + 16*v**3. What is -12*u(b) - 5*z(b)?\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.7 (b) 4 (c) -0.6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 11 - 47)*(-2 - 1 - w + 0*w).\nAnswer: 21*w + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50303 * 0.5\nAnswer: -25151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 8:08 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 25285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2915)\/3498 + 4\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/7, -30, 3 in ascending order.\nAnswer: -30, -2, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45\/8 + 3\/8*h**2 + 3\/4*h.\nAnswer: 3*(h - 3)*(h + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -352.2 - -262. Let x = 99 + r. Let w = x + -8.799983. What is w rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/10 + 9\/6. Suppose -2*p - 5*p - 21 = d. List the prime factors of 689\/13 - 3*(p + 2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 - 35*w**2 + 350*w - 520 = 0. What is w?\nAnswer: -13, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -10.1. What is the closest to x in 2, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 257*d**2 + 3541*d\/2 - 2028.\nAnswer: (d - 1)*(d + 8)*(d + 507)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 32 = 4*g, 0*d + 12 = -d - 4*g. Suppose p = c - p - d, -4*p = -4*c + 8. Differentiate c - 4*o + 7 - 1 wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 14*u**2 + 7*u - 74. Let b be z(-13). Suppose 1 = -d + 2*q + 3, 2*d + 4 = -4*q. Put b, d, 5 in increasing order.\nAnswer: d, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 2*m, 3*m - 14 = 2*l. Let h = 1.89 + 10.41. Let w = -13.3 + h. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 9. Suppose 8*k - 12*k = -24. Give c(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 45968 = -14*y. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2803179*b + 48. Let t be h(9). Suppose 5*s = -4*l - t - 6931346, s = -4*l - 32160001. What is l rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/3 and -19\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -235, -1000, -2291, -4108?\n\"Answer: -263*r**2 + 24*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/20 and 27\/3208.\nAnswer: 16040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:38 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {l: 2, q: 3, a: 1, c: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 32931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 182 - 411 + 138.\nAnswer: a**3 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/9 and 705\/220 - 9\/12?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55*(-6)\/120 - (5 - 2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 36, 64, 100, 144, 196?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0133 - -215.0133. Let k = 214.6 - z. Let g = 13 - 27\/2. Which is the closest to g? (a) -4\/7 (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00365333565 rounded to five dps?\nAnswer: -0.00365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 4*g**2 + 4*g**2 + 0*g**2 - 16*g + 2*g**2 - 37. Let p be 2\/((-3)\/(-27)*1). Let h be n(p). What is the biggest value in 2, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1166 + -468. Is -4 - (-2 + 3 - r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4308231?\nAnswer: 3, 19, 75583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/40 - 143\/40. What is the common denominator of 33\/70 and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 5664.\nAnswer: 17\/5664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four thirds of a day in hours?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(3\/(-2))*(-1 - -4). Let n be (7\/j)\/(-7)*2\/7. Suppose n*b**2 + 2\/7*b + 1\/7 = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 54 = -3*u, 3*h - 96 = -h + 3*u. Let t(b) = 21 - h - 6*b**2 + b**2. Let w(c) = 3*c. What is w(t(q))?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 3.8. Let s = 0.28 + 0.12. Let z = 0.29 - -0.01. Which is the third biggest value? (a) z (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - (1 + 2 - 1). Let l be (2 + k)\/(-5 + 7). Solve -l*f + 25 = 3*c, 3*c = -2*f - c + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 711389532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000 divided by -500?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1092 and 31\/373.\nAnswer: 407316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4942575 rounded to three decimal places?\nAnswer: 0.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 21 = -5*j, 2 + 2 = 4*p. Suppose -o = -5*v - 32, -2*o + 39 = -3*v - 32. Calculate the remainder when 10\/(-25) - o\/j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 2*p + 68. Let n be f(0). Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2460, 2475, 2500, 2535?\n\"Answer: 5*d**2 + 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18084 - 18083.65415. What is f rounded to three decimal places?\nAnswer: 0.346","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 20*x**2 + 6*x - 595. What is q(0)?\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 10*v**2 - 11*v + 3. Let w be g(11). Let k = w - -2. Let t = k + 2. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15652552973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*u = -730779 - 434840. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**3 - 4*s - s**2 + 3*s + 0*s + s**3. Let p be z(-1). What is the third derivative of 0*m**3 - 2*m**3 + 2*m**p - m**5 + 5*m**2 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37978 divided by 75.\nAnswer: 37978\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2\/5 - 108546*o\/5 + 23507393\/5 = 0.\nAnswer: 217, 108329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiszl. Give prob of sequence zxl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/((820\/96)\/(94\/752)).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -104 - (-73 + 211 + -301)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(3) - (sqrt(96)\/sqrt(4))\/sqrt(12))*-1)**2 - (-2 + (-2 + sqrt(242)*-2)**2 + 3).\nAnswer: -971 - 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 8983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15817636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -37. Suppose 2*r - 3*r + 3*v + b = 0, -4*r - 2*v + 22 = 0. What is k in 0*k + 0*k**4 + 0 + 0*k**2 - 2\/7*k**r + 0*k**3 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-182 - -200 - (0 + 2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4152111 - -0.1.\nAnswer: -4152110.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*l + 1240 = -1416 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22021, 22556, 23091, 23626, 24161, 24696?\n\"Answer: 535*z + 21486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**2. Let v(w) be the second derivative of -w**7\/280 - w**4\/4 + 4*w. Let f(c) be the third derivative of v(c). Give -7*f(o) + 6*i(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96031942?\nAnswer: 2, 887, 54133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7963.906l to millilitres.\nAnswer: 7963906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 12:48 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -269.\nAnswer: -51\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**4 + 28*t**3 - 92*t**2 + 132*t - 16. Let a(b) = -b**4 + 9*b**3 - 31*b**2 + 44*b - 6. Let p(x) = 16*a(x) - 5*y(x). Solve p(j) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19.9? (a) 0.01 (b) 1 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h. Let o be v(4). Let s(k) = -k + 9. Let u be s(o). Sort 3, u, 2.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96.92*175\nAnswer: 16961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 470*k**2 - 32720*k - 403. Determine h(85).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 17*d**2 + 2*d + 40. Let o = -70 + 53. Let y be a(o). Suppose 0*n = n - 3. Solve -4*g = n*f - 5 - y, -g + 11 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003617333?\nAnswer: 3, 283, 394039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.1 - 14. Let h = n + -0.1. Let a = -7\/15 - -2\/3. Is a less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y**3 + 305*y**2 - 31*y - 263. Let d be c(38). Let v = 1 + 1. Factor 5*u**d + 5\/3*u**v - 5\/3*u**4 + 0 - 5*u.\nAnswer: -5*u*(u - 3)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -147, -162, -195, -252, -339, -462?\n\"Answer: -h**3 - 3*h**2 + h - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4727 is divided by 182?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/(-56))\/((-6)\/(-4))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5. Let s(g) = g - 1. Let m be s(-1). Sort -6, m, i.\nAnswer: -6, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1110 + 692*b**2 - 2147*b**2 - 1545*b**2 - 2303 wrt b?\nAnswer: -6000*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -43. Suppose -1 = -6*x + c. Let d be 1 - (2 + -17 + x). Solve 4*a - d = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 2101177 - 19801504 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l + 28*l = 59*l - 144 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 10*w**2 - 19*w - 16. Is p(-9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l - 44. Suppose -39 + 4 = 5*z. Let q be p(z). Solve q*n - 1 - 14 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100001 + 1000?\nAnswer: 110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/(-87) + 2\/2. Let v(g) = 2*g**2 + 8*g + 7*g + 9*g + 0*g - 10 - 5*g. Let w be v(-10). Is h greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2032 = 1272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.45 * 18.\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/518 and -157\/126.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:21 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106797192 is divided by 10266.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2503637 and -0.005.\nAnswer: -12518.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/35*(-1)\/(-4)*418\/55*-5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 269 - 275, -5*x - 35 = 4*g - 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*m - 28. Calculate the remainder when 19 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 - 4 = 0. Calculate the remainder when (114\/(-18))\/(d\/(-12)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 34 + 16 + -33?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -797 - -1193. Suppose i = w + 3*w. Let s(l) = -2*l - 1. Let v be s(-5). What is the greatest common divisor of w and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*p - 974 = 373, v + 5*p - 282 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.135 and 163.\nAnswer: -22.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(4\/2))\/((6\/(-21))\/(4080\/(-630))).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -10*t**3 + 28*t**2 + 5*t + 5. Let d(j) = -j**3 - j**2 + j + 1. Give -5*d(c) + r(c).\nAnswer: -5*c**3 + 33*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + ((sqrt(252)*3 + sqrt(28))*-6 - ((1*sqrt(168))\/sqrt(6) + (sqrt(28) + -1)*-6))))**2.\nAnswer: 1980*sqrt(7) + 84781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 15. Suppose 7*c - 85 = 27. Calculate y(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 2*s + 3. Let j(k) = -k**2 + 3*k + 4. Suppose -5*m - 2 = -12. Let r(a) = m*j(a) - 3*d(a). What is the units digit of r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 2. Let i(d) = 9*d + 4. Let c(n) = -4*i(n) + 9*q(n). Let v be c(2). What are the prime factors of ((-24)\/(-10))\/(6\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Suppose -20 = 2*v + 2*v. Let f = 2.22 - 1.72. What is the third biggest value in d, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + v - 15, 3*x + v + 8 = -1. Let k be (-6)\/3*-1*-2. Let d = k - x. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/12*(-30)\/(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/30 + 3*j**2. Let h(d) = -2. Let b(x) = x**2 - 1. Let q(s) = -2*b(s) + h(s). Determine y(q(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i - 2*r, -3318*r + 3321*r - 27 = -i. What is the smallest value in 457, i, 20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59923?\nAnswer: 31, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*t**4 + 1317*t**2.\nAnswer: 2424*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vokmm. Give prob of picking 1 m and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1846940, -1846938, -1846936?\nAnswer: -1846934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -261236 + -4?\nAnswer: -261242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:20 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18b84c - 515?\nAnswer: -18c064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + 16. Let v(p) = -p**3 - 4*p**2 - 2*p - 5. Let b be v(q). Differentiate t - 6 - b*t + 0*t - 5*t with respect to t.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1145822091 or 1145822090?\nAnswer: 1145822091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 28*c**2\/5 + 22*c + 84\/5.\nAnswer: 2*(c + 1)*(c + 6)*(c + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 83*x**2 + 42*x + 98. What are the prime factors of z(-38)?\nAnswer: 2, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.3, 0.3, 1, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 1\/6*b**3 + 0*b + 0 + 19*b**2 - 1\/24*b**4. Give t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3122*p**3 - 38*p - 5 wrt p.\nAnswer: 18732*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnnxnnnhnhnhnnxnnh. Give prob of sequence hhn.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - (2 + 9 + 19 + -70 + 31).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 31 = -2*t - 5*n, -2*t = 5*n - 27 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35.45881 from 0.1.\nAnswer: -35.35881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2\/(-3))\/(46\/(-69)). Is 1\/18 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = -4*v - 3*w + 5*w, 0 = 4*v - 5*w + 199. Let o be (-3)\/(-1) - v\/(-17). Suppose o = -2*i - 3 + 13. Calculate the greatest common factor of 40 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 1, s: 1, p: 4, l: 2}. Give prob of picking 2 p and 1 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -6920, -25277, -61024, -119957, -207872, -330565, -493832?\nAnswer: -703469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 7*o + 41. Let c(t) = 3*t - 20. Determine 5*c(y) + 2*f(y).\nAnswer: -2*y**2 + y - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.1777 + 168489054?\nAnswer: 168489083.1777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.1282 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*h + 16, 4*f = -2*h - 2*h - 32. Let b = f - -10. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/12*(-204360)\/3406\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyiiriieirrryiiyyiyi. Give prob of picking 3 y and 1 i.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from 0.08.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-9) - 4\/(-6). Suppose l = -0*l + h. Solve -3*p + 8 = 2*n, -3*p - 4*n + 8 + l = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63445 (base 8) to base 11.\nAnswer: -18925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtrrtrrrrttrrrtr. What is prob of sequence rr?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y + 3*a - 7, -3*a = -y - 7. Suppose -y*l = 12*l - 240. Suppose 0*w = 2*w - 66. Calculate the remainder when w is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9675246, -38701036, -87077346, -154804170, -241881502, -348309336, -474087666?\nAnswer: -619216486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:12 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203311776.\nAnswer: 2, 3, 223, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a + 33. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.33 (b) -2\/189 (c) 415 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (3 + -1)\/(94\/893) + -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*d - 45. Let l be ((-20)\/d)\/((-15)\/(-10)). Are 1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19 and -19307?\nAnswer: 19288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 22 = -2*v + 3*i, 3*v - 2 = 5*i. Suppose -l = v, 1 = -2*c - c - l. Let d(o) = -12*o + 1. What is d(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3, 1\/2, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = -5*b, 2*b - 3*b = -2*j + 9. Suppose 0*d + 2*d = 0, j*u + 4*d - 111 = 0. Let h = u + -20. Calculate the remainder when 50 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -380*k + 377*k - 4*k**3 - 2*k**2 - 2*k**3 to x*k**3 + s + q*k**2 + g*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - 3*p + 0*p)*(-542 + 310 - 3110)*(4 + 2*p - 4) in the form l*p**2 + r + f*p and give l.\nAnswer: 13368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196.2 + 196. What is the nearest to d in 2\/7, 0.4, 3, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 124 = -124. Let c be (-4)\/(-10) + (-16)\/(-10). Let v = 1 + c. Solve y = 5*d + 15, -5*t + v*d = -0*d - 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 38821?\nAnswer: -38825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d + 5. Let l(w) = 12*w - 6. Calculate 7*c(u) + 6*l(u).\nAnswer: -5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/133 (c) -1.9 (d) 0.1 (e) -10\/21 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8924*d - 62080. Calculate v(7).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127.\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose 2*g - p*g - o + 67 = 0, -4*o = -3*g + 117. Suppose 14 - 6 = 2*v, -22 = -2*i - 2*v. What is the highest common factor of i and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)*4*-5)**2 + (-1 + sqrt(448) + -5)**2 + sqrt(448))*4*-2.\nAnswer: -1437472 + 704*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 772 by -2.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l + 4*l)*(16 + 15 + 110 + 32*l + 105 - 42*l).\nAnswer: -80*l**2 + 1968*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.107 (c) 77 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -0.3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12044154 + -444?\nAnswer: -12045042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, f: 3, b: 10, s: 2}. Give prob of sequence sf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16887409*g**2 + 11182939*g**2 + 13738948*g**2.\nAnswer: 41809296*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1066387.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 18 + 6 = 0. Suppose a*h = -3*p + 30, -2*h + p + 30 = -4*p. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0, -1\/27, -3, 0.01?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) 0.2 (c) -1 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*j - 15, 5*r - 9 = -4*j - 3. Suppose 29 = -r*h + 247. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.011, -2\/5, 0.3?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/42)\/(4\/(-66)))\/((-131)\/262)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - ((-25)\/(-20) + 15\/5). Which is the nearest to 0? (a) h (b) 0.3 (c) -3\/4 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(7 + -8) + 495\/(-100) + 1.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - z + z + 0. Let t(v) = -6*v**2 - 30*v - 3. Let q(m) = 11*m**2 + 50*m + 5. Let h(y) = -6*q(y) - 10*t(y). What is h(b(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157 a factor of 57661747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**3 + 47*o + 121. Let d(i) = 2*i**3 - 47*i - 121. Let y = -865 - -868. Let w(n) = y*s(n) + 4*d(n). Differentiate w(j) with respect to j.\nAnswer: -12*j**2 - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -365759, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + c - 4 + 3)*(0*c**3 - 4*c**3 + 3*c**3) + 886*c - 886*c + 73*c**4 as w*c + u + t*c**2 + n*c**4 + f*c**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-529)\/115)\/(3\/5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.36 + -0.5774363333.\nAnswer: 42.7825636667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1051 divided by 1.\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7727, 1, -24 in increasing order.\nAnswer: -24, -4, 1, 7727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1230 - 1249. Which is smaller: r or -352\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -376, 5, 1425 in decreasing order.\nAnswer: 1425, 5, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -474*l**2 - 48*l**3 - 89*l**3 - l - 336*l**2 + 54*l**3 wrt l.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/3, -0.3, 61 in increasing order.\nAnswer: -2\/5, -1\/3, -0.3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5223805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 2667?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4. Let z(j) = -404*j - 50. Let s be z(-1). Suppose y*r = 3*r - s. What are the prime factors of r?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nen when three letters picked without replacement from {n: 9, e: 4, a: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) + 334\/10. Let n = 87 - l. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - (-9 + (12 - 7)))*0. Let r be 6\/9 - 7\/9. Is w <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(19\/37) + -2. Suppose 3 = k + 1. Let w be 0\/7*(-1 + k). Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.39 + -0.61. Let z be 21\/14*8\/78. Let d = -1.5 + 1.6. What is the nearest to -0.3 in n, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l + 7*l - 500831 + 500831 + 17*l.\nAnswer: 49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from ggrgrgrrggrgg.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.5 (b) -0.5 (c) -2\/39 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.703 and -4376.367.\nAnswer: -4378.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7010, -7015, -7032, -7067, -7126, -7215, -7340, -7507?\n\"Answer: -q**3 + 2*q - 7011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 340243.151024 - -7.\nAnswer: 340250.151024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 9\/54)\/((-14)\/112).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*-4*sqrt(76)\/sqrt(4).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36632577 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4846 (base 10) in base 11?\nAnswer: -3706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22950043?\nAnswer: 19, 127, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Let k be 19\/7 + 0 - 3. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - 5d5?\nAnswer: -5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -670.97 + 675. Let m = k + -0.03. Let a be (18\/45 + 0)*115\/46. What is the third smallest value in a, m, -0.03?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177007233 is divided by 1188?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02804 - 0.96524. Round j to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 9. Let f = 4 + r. Let s = -4 - f. Solve 2*j - 8 = 2*v, 14 - 2 = s*j - 2*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**5 - l**4 + l**4)*(-105 - 64 + 7) + (-l - l + l)*(0*l**3 - l**4 + 0*l**3).\nAnswer: -485*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3226 divide 1797827407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -69\/4, 2\/13, -0.2, -4 in ascending order.\nAnswer: -69\/4, -4, -0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*b + 12, 0 = 7*q + 27*b + 4*b - 29*b + 46 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839689 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137582908 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000189327101 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-14)*(-16)\/(32\/(-2))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*m**4 - 97756*m**3 + 277*m**2 - 2942*m wrt m?\nAnswer: 264*m - 586536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1204, 1182, 1160, 1138?\n\"Answer: -22*i + 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 13, 20, 41, 82?\n\"Answer: z**3 - 2*z**2 - 2*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/14*(-28)\/(-42)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let m be (-1)\/v*1*215. Let t = 304 - m. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + -1*(-1*(2 + sqrt(432) + sqrt(432))**2*6 + -4)) + -1.\nAnswer: 3456*sqrt(3) + 62387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108115955 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Let m = 663 - 662.4. Which is the fourth smallest value? (a) w (b) 3 (c) m (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) - 416\/(-24). Suppose -n = -4*x + a + 58, x = 3. Let i = n - -146. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(209) + sqrt(209))*-3)\/(sqrt(55)\/sqrt(45)) - ((2*sqrt(475))**2 + sqrt(19) - (5*sqrt(95)\/sqrt(5))**2).\nAnswer: -1425 - 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - o**4 + o**4 + (o**3 + 2 - 2)*(-2*o - 3*o + 4*o) + 1912*o**4 - 271616*o**2 + 271616*o**2.\nAnswer: 1909*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-120)*-12)\/(9\/1)*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enenznne. Give prob of picking 1 n, 1 e, and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 at least as big as -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(0 - 2\/4). Solve -4 + 1 = o*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w - 15*w + 20*w + 38*w**3)*(-11*w - 3*w + 15*w - 5) in the form o*w + f*w**3 + r*w**4 + t + v*w**2 and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/((8 - 1038\/129)\/34) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 2:13 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 44 = -g - 0*g, 2*z - 36 = -g. Suppose s = 5*s - z. What is the second biggest value in 5, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 12.1. Let h = 0.05 + 0.45. Let f = h - j. What is the closest to 0.2 in -0.2, 3, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89 - -394574?\nAnswer: 394663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j + 3. Let l be b(3). Let o = 0 - l. List the prime factors of (-7)\/42 - (-121)\/o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -275 less than or equal to -275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(4 + (-9)\/3). What is the remainder when 115 is divided by (-5 - 8)\/(-1 + s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*l = -4*r - 5, -11 = -2*r + l. Suppose -3*g + 2*g - 3 = 0, -5*g = r*f + 19. Calculate the remainder when f*3*39\/(-9) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 4\/2*-7. Let q = 16 - x. Sort q, 0, -4 in ascending order.\nAnswer: -4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2 = -0*s + 2*s, 0 = 3*s - q - 18. Let p be -1 + 8 + 1 + -2. Let c(f) = 1 + 0*f**3 + 5*f + f**3 - 6 - p*f**2. Give c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:39 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -116.\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*t - 127, 5*q + 3*t - 116 = 52. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03351481492 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18\/43 - 577\/1892. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 13. Let m be l(-2). Solve 2*p - m = 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 8, f: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 434*n - 17788. Let c be k(41). Let p(o) = -o + 33. Let m(d) = -11. Let z(q) = 11*m(q) + 4*p(q). What is z(c)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - c + 12 + 3, 0 = -4*r + 2*c - 2. Let b(j) = j**3 + 5*j + 6*j - 10*j + 0*j**2 - 5*j**r. Give b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-18))\/2*3072\/64.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**5)\/l*l)\/(l\/(l*l\/(l*l*l**(-8\/5)\/l*l))*l*l))**(7\/12) assuming l is positive.\nAnswer: l**(161\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6*(-8)\/(-36))\/(224\/(-42504)) is divided by 201.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 177? (a) 2\/9 (b) 1\/6 (c) 18.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2. Let i(z) be the third derivative of -z**8\/10080 + z**5\/20 - 3*z**2. Let a(o) be the third derivative of i(o). What is a(h(b))?\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-four fifths of a millennium?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -93*v**2 + 3*v - 4. Calculate k(1).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*l + 41, -4*l + 21 = -3*g + 104. Let r be 6\/(-21) + 1035\/g + 1. What is the greatest common factor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*35\/((-1260)\/48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 1 - 11 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**8\/25200 - q**7\/6300 + q**5\/12 - 3*q**2. Let d(t) be the third derivative of h(t). Factor d(f).\nAnswer: -4*f*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 4*y**2 - 3*y + 4. Let x be m(-5). Let c(t) = t**2 + 6*t + 3. Let b be c(x). Suppose -2*a + b*z + 14 = 0, -3*z + 1 + 13 = 5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 353, -1 in decreasing order.\nAnswer: 353, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109.6 - 19.6. Let s = -90.0063 + v. Round s to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0077 + -0.006249. Round n to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(10) + sqrt(40)\/sqrt(4)))\/((-2*sqrt(22))\/sqrt(11) + sqrt(2)))**2 + (-3 + -2*sqrt(320) + 2)**2 + -3.\nAnswer: 32*sqrt(5) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 19136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) -159 (c) 0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20399 = 18*v - 22*v - 5*a, -5*a = -3*v + 15273. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(189 + 27 + 14)*(4*y - 2*y - y + (2 + 2*y - 2)*(0 - 2 + 1) - 2*y + 2*y - y) in the form b*y + g and give b.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 1.0999985. Round k to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 22. Let x be i(-13). Let b be 2\/(-8) + (-1)\/x + 0. Suppose 4*a - 3185 = -k, 5*a + b*k = -5*k + 3970. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -28*s. Let d(p) be the third derivative of p**6\/720 - 13*p**4\/24 + 19*p**2. Let y(t) be the second derivative of d(t). Calculate y(r(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 28 - 20 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-6) + 1 + (-2)\/1. Let u(z) = 245*z**3 + 2*z**2 - 4*z + 2. Let g be u(o). Let k = 371 - g. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43980 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 11. Let l = x + 33. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 264?\nAnswer: 26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.077 + 2.923. What is the third biggest value in -2\/9, m, 0.3, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-3 + 2) - -1. Suppose j = -v*j. Solve j = 2*p - 5*q - 10, -3*p + 2*q = 6*q + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6)\/((h\/(h**10\/h))\/h))**(-1\/32) assuming h is positive.\nAnswer: h**(-55\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.782717ml?\nAnswer: 0.002782717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3140 - -2011044?\nAnswer: 2014234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -38, -110, -252, -488, -842, -1338?\n\"Answer: -4*h**3 + h**2 - h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2674, 0.3, 0.4?\nAnswer: -0.2674","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/8)*r*((r**15*r)\/r)\/r*r)\/((r**(6\/11)*r)\/r*(r*r**8*r*r*r)\/r) assuming r is positive.\nAnswer: r**(403\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 26*v - 135. Let g be c(-8). Suppose 3*j = z + 27, 2*j - 35 = 2*z - 7*z. Is g >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130739452 by -32684863.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.9 + 303896.\nAnswer: 303867.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 439673488 a multiple of 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - 2*n - 1. Let w be v(-1). Let c = w - 3. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Calculate the lowest common multiple of b and 2\/11 - (-73320)\/5720.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3965)\/(-91) - 12\/21. Solve -57 - m = -20*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-95)\/25) + -3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1090, 878, 520, 4, -682, -1550, -2612?\nAnswer: -3880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29078 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 39245.2 weeks?\nAnswer: 23735496960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 3*r**5\/20 - r**4\/12 + r**3\/2 + 9*r**2. Let f(h) = -3*h**2 + h - 1. Let w(v) = 7*f(v) + 2*u(v). Calculate w(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 4*r**2 - r**2 - 4 + 8*r**2 in the form n + c*r**2 + g*r and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1023*w - 162664. Give z(-159).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*(i*i**(-5\/2)\/i*i)\/i)**(-1\/13)\/(i\/(i\/(i*i**(7\/4)\/i))*i**(1\/6)*i**(-5)*(i*i**5\/i*i)\/i) assuming i is positive.\nAnswer: i**(-815\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(3*d**5 - 2*d**5 - 2*d**5) + 2*d**4 - 74*d**5 + 87*d**5 - d**4.\nAnswer: 11*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1620)\/(-432)*(-2)\/(-15). Let b be (-3)\/(3*3\/(-6)). Let a**2 + z*a**5 - b*a**3 + 3\/2*a + 0*a**4 - 1 = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4789, -6697, -8603, -10507, -12409?\nAnswer: -14309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21806008 and 695408?\nAnswer: 305284112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j**2 + 7*j - 5. Let r be y(-8). Let o be 21\/4 + r\/(-12). Solve 0 = -o*a - 9 - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -27. Let k = 4 + 50. What is the remainder when k is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 22*c - 16. Let g be d(-10). Suppose g*p - 3*m = 2*m + 554, 0 = -4*m + 8. What are the prime factors of p?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -51*b**3 - 2*b**2 - 2*b - 1. Let f be w(-1). Let i = 74186 - 74131. Calculate the highest common divisor of i and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1377.1 + 1377. Let w = -2 - -1.5. Which is the third smallest value? (a) d (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 7. Let w be r(-3). Suppose 3*u + 5 = 2*u + 2*f, w*u = 3*f. Find the third derivative of 5*t**2 - t**2 - u*t**2 + t**5 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-18)*(-48)\/(-300).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 1\/157380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n - 730 = 0. Let t = n + 233. List the prime factors of (-2 - 1) + t\/(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 306)\/(127 - 1). Let h = 2\/63 - j. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3785, 3796, 3821, 3866, 3937?\nAnswer: 4040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*l - 32*l + 21*l = 14008. Sort 2, 5, l in decreasing order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -2*y**3\/3 - 42*y**2 - 65*y. Suppose 80 = -0*z + 5*z. What is the smallest common multiple of z and n(-22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 118139*t**2 - 35 - 118134*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -323708 divided by -4204?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3 - 7 + 7 + 4. Let c(j) = j - j + 16 + 0*j - 4*j**2 - 11 - 2*j. Determine -c(h) + 5*u(h).\nAnswer: 4*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/(s\/s**(-5))*((s*((s*s*s\/(s\/(s*s**(-1)\/s*s)))\/s)\/s)\/s)**(-5))\/((s**(3\/4)\/(s**(2\/9)\/s))\/(s*s**(-3\/4)*s*s**0\/s)) assuming s is positive.\nAnswer: s**(-203\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1587700.\nAnswer: 2, 5, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -41333214332?\nAnswer: 41333214403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - d**2 + 16*d**2 - 1.\nAnswer: 21*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 639047527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 43. What are the prime factors of (-5 + (-2 - 171))\/(-2 - b)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aeeaaeaeaaseaasaae?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1546 - -1?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -m + 4*m, 0 = 3*m + 4*l - 20. Suppose u + m = 5*t + 6, 0 = -2*t + 4. 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 prob of sequence hrhg when four letters picked without replacement from {p: 1, h: 2, g: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m + 14. Suppose 0*s + 2*s + 6 = 0. Let q(g) = -g**2 - g + 1. Let b be q(s). Let z(w) = -2*w + 5. Determine b*h(x) + 14*z(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = z - 5*i, -i = 2*z + 3*i - 102. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 11:29 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 12, 2\/15, 4, 0.5, 778649?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4667 + -5?\nAnswer: 4662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 16\/7, -0.13, 4, 3\/4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285785 and 14213?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 792350.7 centuries in millennia?\nAnswer: 79235.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2684080, 2684075, 2684058, 2684023, 2683964?\nAnswer: 2683875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v + 13*v)*(-44*v**3 + 6*v**3 - 10*v**3 + (0*v**2 - v**2 + 2*v**2)*(0 - v + 0)).\nAnswer: -833*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15236 - -15120. Which is bigger: p or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 40, -3 in descending order.\nAnswer: 40, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*u**2 + 44*u**2 + 287141*u**3 - 287779*u**3.\nAnswer: -638*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -48, -48, -32, 6, 72, 172?\n\"Answer: d**3 - d**2 - 14*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78 - 96 - 24 - 57 + 77*j wrt j.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 3*n**2 + 4*n + 4. Let g be (-6)\/9 + 28\/6. Let q be a(g). Suppose 5*u - q = c, -u + 20 = -0*u + 5*c. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -10 - ((2 - 4) + 5)) + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:12 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 330*y - 1758*y - 868*y - 2047*y + 94*y to b + l*y and give l.\nAnswer: -4249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -3, 0.061, 0.3, 4\/9, 18?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 6*r**2 - 4*r + 4. Let j be i(-5). Let s be -3 - 1*(j - 2). Suppose -5*w + s*w = 25. Let c(n) = -n**3 - 4*n**2 + 6*n - 2. Determine c(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/140 and -121\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n*n**3)))\/n**0*n*n**(-3)*n*n**(-2\/5))\/((((n*n**(-2\/15)\/n)\/n*n)\/(n*n\/n**(-2\/11)))\/(n**0*n**(-3\/4)*n*n)) assuming n is positive.\nAnswer: n**(4729\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 11 + (47 - 44) + -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3047009 minutes to microseconds.\nAnswer: 18282054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1732 - -1735. Solve 4*i = 4*d + 20, 0 = r*d - 0*d - 5*i + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7473 is divided by 446.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7362 (base 8) to base 3.\nAnswer: 12020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*m - m = -146, 2*x - m = 106. Calculate the common denominator of x\/3 + (-36)\/(-27) and 103\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85792401*p**4*q - 2*p**3*q + 1971*p**2*q - 30*p**2 - 163*p*q - 4 wrt p.\nAnswer: -2059017624*p*q - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n**2 - 2. Let z(c) = 7 - 14*c**3 + 5*c**2 + 10 + 46*c**3 - 14. Let u(d) = -2*o(d) - z(d). Find the third derivative of u(w) wrt w.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3, -16\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230 - -214. What are the prime factors of (-1 - -1)\/(f\/16) + 424?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*w, -d = -32*w + 25*w - 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.22224 decades in centuries?\nAnswer: 2.922224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -103.2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 6:56 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*o**3 - 22263*o**2 + 37074*o + 14832 = 0. Calculate o.\nAnswer: -1\/3, 2, 2472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176138763.\nAnswer: 3, 58712921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.29054 + 0.20946. Put o, 198, -39 in ascending order.\nAnswer: -39, o, 198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110796?\nAnswer: 2, 3, 7, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 5*d - 4*d)*(-33*d + 83 + 119 + 38*d) as k + p*d + t*d**2 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/((-2)\/7206) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/8)\/d*d*(d\/d**(-3))\/d*d**(2\/49)\/d*d*(d**(-2\/21)\/d*d*d)\/d*d assuming d is positive.\nAnswer: d**(3905\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 224539120*j**2 + 3151113525648400*j.\nAnswer: 4*j*(j + 28067390)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 24*l**2 + 4*l - 11. Let c(y) = 47*y**2 + 7*y - 20. What is -4*c(v) + 7*q(v)?\nAnswer: -20*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.7202633 - 137.2797213. Let n = g - -180. Round n to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -60 (b) -3\/7 (c) -0.2 (d) -1\/7 (e) 0.5 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.393 rounded to one dp?\nAnswer: 35.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 11\/6*v**6 + 0*v**3 + 0*v**4 + 0*v - 15 - 3*v**2 + 0*v**5. What is the second derivative of y(p) wrt p?\nAnswer: 220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672255055 by -5.\nAnswer: 134451011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 23. Let w = q + -6.94. Let t = 0.16 - w. Which is smaller: -2\/7 or t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 10*u - 4. Suppose 4 = 4*o, 3*o - 3 - 4 = -u*g. Does 0 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12081 - -20386. Let c = g - 21255. Round c to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*y**3*z**2 - 7*y**3*z + 899*y**2*z**2 - 4281*y**2*z + y*z**2 + 33*y*z - 26*z**2 wrt z?\nAnswer: 8*y**3 + 1798*y**2 + 2*y - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 1. Let a be z(3). Let o = a + -5. What is the derivative of g**2 + 2 + 0 + o wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 4:48 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Let h = n + -4. Solve 3*l = -h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44449?\nAnswer: 44449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -274 > -274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + 1. Suppose 3*p + 47 = -193. Let u = p - -114. Solve u = -4*k + k + 5*h, -3*h + z = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k + 2262. Let c(j) = -4*j**2 - 30*j + 3. Give w(c(i)).\nAnswer: -68*i**2 - 510*i + 2313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-42))\/((-25)\/(-75))*(-2)\/(-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -0.01 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004195 rounded to four dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.1. What is the nearest to 1\/2 in -5, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*p - 7. Let r(w) be the second derivative of w**4\/12 + 2*w**3\/3 + w**2 - 3*w + 206. Determine r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from huru.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -506543 less than or equal to -506541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*u + 42 = 0, -2*u + 16 = 2*q - 0*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.6, 5, 143?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 868 to the nearest ten.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 5633*u**5\/20 - u**4\/12 - 7*u**3\/3 - 9*u**2\/2 + 2*u - 2617. What is the third derivative of a(s) wrt s?\nAnswer: 33798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -52*z**2 - 13284*z. Let h(i) = 4*i. Give t(h(g)).\nAnswer: -832*g**2 - 53136*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*g + 5 = j, 4 = -2*j + 2*g. Calculate the greatest common divisor of j and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*t = 234*t + 1000 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3 = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -63074000 rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i - 178353 + 193977 = 0 for i.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*h - 3072 = 0, -2*u = h - 625 - 609. Is 31 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19195, -37853, -56511, -75169?\n\"Answer: -18658*w - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 21*t - 798. Find the second derivative of -80*a - 15*a**5 - 2 - 5*a**4 + 5*a**4 + t*a wrt a.\nAnswer: -300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*x + 9. Suppose 143 + x = 5*v. Suppose 9*c - 6*c = v. Solve -j = -4*b + 16, 5*b - 15 = c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000333941819 rounded to five decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -391 - -396. Suppose -247 = -5*u + 13*m - 11*m, m = x*u - 251. Which is the third biggest value? (a) 3 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Let y = -126 - -125. Which is the closest to y? (a) 0.5 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.001 and -1.4864309.\nAnswer: -1.4854309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3 + 1022685*o**2 + 12*o - 4090740 = 0.\nAnswer: -2, 2, 340895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -1.49, 2\/3, -2675, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3136 and 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v**(-3\/8))\/((v*v**(-6))\/(v\/(v**0*v)))*(v*v*v**(2\/9))\/(v*v**3\/v*v)*(v**(-5)*v)\/(v*v\/(v\/(v*v*v*v*v*v**(-6\/7)*v*v))) assuming v is positive.\nAnswer: v**(-3677\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 2 + 0*w + 4*w)*(-593 - 755 + 2368) + 3 + 3*w - 3 to the form f + o*w and give f.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 520567406377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -3 - 30\/5. Suppose s + 2*s = 0. Let l = s - x. Solve -l*f = -1 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, l: 2, j: 1}. Give prob of sequence ljyy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/3 - (399\/(-1862) - 4275694\/84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heehhhhzc. What is prob of picking 1 h and 1 z?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.42 + -7.094. Round u to 2 dps.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*88071876.\nAnswer: -88071876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*d - 2*d - 15, 4*t = 3*d - 19. Let u be (-6 - -4)\/((-2)\/4). Let w be (101\/((-3737)\/370))\/(1\/1). Sort -1, w, t, u in decreasing order.\nAnswer: u, -1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 + 595*x**3 - 6*x**2 + 1193*x - 6.\nAnswer: -12*x**2 + 3570*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46628\/11 - -4242. Calculate the common denominator of u and 64\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12441 - 21304 = -2*o, -g + 16874 = o. List the prime factors of o.\nAnswer: 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 26 = -24. Let l(n) be the first derivative of n**3\/3 - 9*n**2\/2 - n - 1. List the prime factors of l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 2\/3*w**3 - 5\/2*w**2 + 5*w + 0 + 1\/12*w**4. What is y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3338 a factor of 2729561493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22075 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218*d**2 - 124*d**2 - 11 + 11 to u + r*d + c*d**2 and give c.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*t - g + 8, -g = 1. What is the second derivative of 3*a**t + a + 5*a**5 - 3*a**3 + 2*a wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 10. Let c(s) = -9*s + 18. Suppose 0 = -2*u - 5*o - 2 - 45, -50 = 5*u - o. Let r(v) = u*t(v) + 6*c(v). Calculate r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -0.07 (c) 0 (d) -7 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*q**3 + 10*b + 61*q**3 + 422*q**2 - 2974 wrt q?\nAnswer: -3*b*q**2 + 183*q**2 + 844*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353589 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u - 4. Let y be a(3). Suppose -z - 2*z + 2*r - 335996 = 0, -y*z - 5*r = 224010. What is z rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 - 28 = 0. Let t = l - 5. Suppose -4*d - 5*b + 11 = 0, -5*b - t = d - 0*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69341 (base 14) in base 15?\nAnswer: -50c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21085 - 20673. Calculate the highest common divisor of v and 5047.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65229, 64769, 64331, 63927, 63569, 63269, 63039?\n\"Answer: 2*l**3 - l**2 - 471*l + 65699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -48. Let u = 22 - 10. Calculate the remainder when (1 + (-3)\/u)*8 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**7\/105 - 29*i**6\/180 - 64*i**5\/135 - 11*i**4\/27 - 7*i**2 - 5*i. Factor y(l).\nAnswer: 2*l*(l - 11)*(3*l + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 795 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8189247 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 122778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 3\/5 (b) -6 (c) 7\/195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 5, -8038?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -5*f**8\/84 - 34*f**7\/105 - 7*f**6\/10 - 11*f**5\/15 - f**4\/3 - 175*f**2. Factor g(v).\nAnswer: -4*v*(v + 1)**3*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/36*-5*15\/(-700))\/((-408)\/(-1512))?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -10466087?\nAnswer: -10466075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 8:29 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*b - 6 = 0, 5*d + 590*b = 595*b - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1268053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 3 (c) -69\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-46)\/30)\/((-2)\/66). Let n(o) = -50*o**2 - 2*o + 1. Let g be n(1). Let v = z + g. Which is the third biggest value? (a) v (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 11*z**4\/12 - z**3 - z**2. Let t(j) = -j + 1 + 8*j - 6 + 3. Calculate -5*b(n) + 16*t(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 5, 2 in ascending order.\nAnswer: 2, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 - 13 = 0. Suppose -3*n + 10 = -5. Solve g*d = n*u + 13, 2 = -2*u - 0*d - 2*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3448+161142.3652\nAnswer: 157694.3652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7393914 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 + 1. Let k be z(1). Let m be -2 + k + 2 + 0. Factor 0*w**2 + 0*w + m + 0*w**4 + 1\/4*w**5 - 1\/4*w**3.\nAnswer: w**3*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30914356662311 and 0.2?\nAnswer: 30914356662310.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*b - 64*b**2 + 136*b + 143*b + 149*b.\nAnswer: -64*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41\/5 - 113\/15. Let m be 676\/78 + 20 - (-27 - -54). Factor m*i - i**2 - n.\nAnswer: -(i - 1)*(3*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6574316 - 6574316 - 25*l + 2*l**3.\nAnswer: 2*l**3 - 25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 8:09 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 551\/3 + -1333\/6. Find the common denominator of q and 29\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 8}. What is prob of sequence cp?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 13*z - 1. Suppose 4*b = 3*h - 1 + 4, -4*b - 2*h = -18. Is 19 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1246.89819.\nAnswer: -374.069457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35 - 25\/5)\/2. Suppose -1944 = -g*l + 1161. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose l*j - 8 = -j. Suppose -5*k + 4*d = -34, k + 2*d = 5*d - j. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 3*a + 120. Suppose 0 = 5*g - 2*w - a + 1, -4*g + w = -22. Suppose 5*f - 60 = -g*k, 0 = 4*k - f - 0*f - 73. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504262 at least as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*n - 4966 + 1746 = 0 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 14 = 2. Let f(k) = k**2 + 4*k + 3. Let j be f(r). Let i = 1 + j. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 32 = -51*c + 49*c, -6*v + 60 = -6*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166 + -172 + (4 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228008 is divided by 1227?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1958711\/7410 + 1\/7410. Let j = 267 + b. Are 3 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-6)*2\/9. Let o(n) = n - 9. Let p be o(9). Suppose p*v + v = 0. Sort s, 5, v.\nAnswer: s, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12658 is divided by 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1214.737 to the nearest ten.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 11 = 3*h, 2*h + 9 = 5*v - 2. Let c be (11 - 1)\/(-5 + h). Find z, given that -4*z**3 + 2*z**5 - 2*z**4 - 2*z**2 + 2*z**c + 4*z**2 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 + 4356*p**2 - 4*p - 4356 = 0 for p.\nAnswer: -1089, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -573423?\nAnswer: -1\/191141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 2, -4 = w - 29*z + 26*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/84 and -99\/196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-897)\/(-8073)*720\/(-32)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in -4\/15, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -45.888 and 206332.\nAnswer: 206286.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5 - 165*a**4 - 297*a**3 + 1137*a**2 + 1236*a - 1908 = 0.\nAnswer: -53, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -18) + -4 + (26 + -5 - 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 41207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235528, 942364, 2120416, 3769684?\nAnswer: 5890168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-44)\/4 - -5)*1\/3. Sort 12, 1, b in ascending order.\nAnswer: b, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671385 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - g - 18, -2*n - 2*g = -0*g - 24. Let d be n - (0 - (-2 + 1)). Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*2*4.\nAnswer: 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - p**2 + 3*p - 2. Let f be q(2). Suppose -k + 2 = -3*r + 8, f = -4*k - 3*r. Find the common denominator of k\/(-4)*74\/(-22) and 41\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3688 or 3783?\nAnswer: 3783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g**3 + 20*g - 20*g)*(-1 + 3 - 3)*(-13*g**2 + 9*g**2 - 5*g**2).\nAnswer: 126*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46714 + 1?\nAnswer: -46713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2101*p**3 + 3*p**2 + 478*p.\nAnswer: -12606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -29, -5 in decreasing order.\nAnswer: -5, -29, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1475, -1476, -1477, -1478, -1479?\n\"Answer: -a - 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-7) - -10)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + 2*sqrt(216))*-6)\/(sqrt(12)\/(-2*sqrt(144))).\nAnswer: 1296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*k + 8, 0*s + 4 = -2*s. Suppose k = -5*h - 5*i + 4*i + 240, 2*i = -4*h + 198. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4143512 is divided by 591929.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b**2 - 3. Let p be t(-3). Suppose 0 = -8*d + 2*d + p. Let x = d - -9. What is the highest common divisor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2025.714 minutes?\nAnswer: 121542840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4 - z**3\/3 + 2*z**2 + 3*z + 2. Is t(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1690 = -s, 0 = -3*p - 0*s - 2*s - 1688. List the prime factors of 3\/(((-9)\/p)\/1).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*v - 36*v - 3*l - 9, -5*v - 6 = 2*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 4 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 119*i**4 + 17*i**2 + 17*i - 65. Let c(v) = -20*v**4 - 3*v**2 - 3*v + 11. Let k(b) = -34*c(b) - 6*f(b). Differentiate k(u) with respect to u.\nAnswer: -136*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (23 + 1 - (20 + -25 + 7))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 1. Let g(y) = -y**2 + 3*y. Let p be g(2). Suppose -2*z + 0*z = p*j + 8, 2*z - 2*j = 0. Let k(u) = -4*u. Determine z*r(d) - 3*k(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 148\/(-30))\/((-100)\/(-375))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 89, 359, 809, 1439, 2249?\n\"Answer: 90*k**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -19*d - 1\/3*d**3 + 7\/2*d**2 + 0. What is z(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651811037 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15744 is divided by 2232?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3273, 3256, 3241, 3228?\nAnswer: 3217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(5 + (0 - 3))*-44. Let x = 181 + h. Solve 0 = -x*b - 3*t - 30, 2*b + 4*t - 2*t = -16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38752, -38755, -38758, -38761, -38764?\n\"Answer: -3*s - 38749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*j + 46*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2451904, -4903904, -7355904?\nAnswer: -9807904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/42)\/((-137)\/((-14385)\/28)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:54 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 2, -10\/9, -3, 0.23, -1\/5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r - 243*r = 7448. What is the nearest to r in -4, 3\/2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-60))\/((-60)\/(-21) + -3). What is the closest to s in -0.4, -0.6, -5, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124631021 divided by -1681.\nAnswer: 74141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpp when three letters picked without replacement from {p: 11, j: 2, s: 2}?\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -343 + 406. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 158, 239, 322, 407?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-6) - 1 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 531 + -523. Let w(b) = -b + 3. Let i be w(0). Solve 5*f - 2*g + c = 1, 9 = f - i*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-2*k - 4*k + 4*k) + (-18 - 1 + 0)*(-k + 5*k - 2*k).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3965 + 3965. Let y(b) = -b**2 + 8*b - 4. Determine y(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -5*a**5\/4 + 20*a**4 + 350*a**3\/3 + 120*a**2 + 484*a. Factor w(k).\nAnswer: -5*(k - 12)*(k + 2)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174623491 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1179542*0.08\nAnswer: 94363.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34\/29 - -1608\/1421. Let s = -98 - -98. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2696, 14\/5, 3.\nAnswer: -2696, 14\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**2 + 2*c**2)*(-5*c**2 - 2*c**3 + 5*c**2) + 3 - 3 - c**5 + 90938*c**4 + 90930*c**4 + 17312*c**5 - 181869*c**4 + 2.\nAnswer: 17309*c**5 - c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiw when three letters picked without replacement from ircnwic?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times 0.03\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 1612282.\nAnswer: 19347384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 201110?\nAnswer: 201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*r - 32, -5*r = 4340*n - 4342*n - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n + 6. Let c be v(-2). Suppose 2*w + c*j = -46, 2*w + 56 = -0*w - 4*j. Let g be (-3)\/6*4 - 39\/w. Do g and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 13 - 12*w**2 - 16*w**3 + 8 + 96*w + 72*w**2 + 3 = 0.\nAnswer: -1, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, g: 6, q: 7}. Give prob of picking 2 q and 2 a.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.25, -1\/3, 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddddddmmddddd. Give prob of picking 4 d.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 61*b + 59*b + 32320, -3*b = -2*f + 21551. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*l - 290 = 410. Solve -7 = 5*o + 23*y - 20*y, l*o = 4*y - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) + (-78)\/(-15). What is the second derivative of -10*o - 3*o**3 + 2*o**4 + 3*o**3 - h*o**4 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 + 2*q - 6. Let f be -5*(0 + (0 - -1)). Give v(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**5 - 3*u + 5. Let j(p) = 6*p**5 + 2*p - 4. Let s(m) = 2*m. Let x be s(-2). Let l(d) = x*a(d) - 5*j(d). Find the second derivative of l(y) wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1564519770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.56438 + 0.622. What is m rounded to 3 dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**3\/3 - 2*x**2 - 2*x + 2. Let v(c) = -c - 1. Let k be v(1). Give d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ea8 (base 16) to base 5\nAnswer: 110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20010022 - 0?\nAnswer: 20010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**4 + c**2 + c + 1. Let q(l) = -8*l**4 - 8*l**3 - 8*l**2 - 12*l - 12. Let k(i) = -12*d(i) - q(i). Let k(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14348 (base 10) to base 2.\nAnswer: -11100000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*417746.\nAnswer: 208873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 2*k - 30 - 5*k)*(-6*k + 2*k - 5*k).\nAnswer: 27*k**2 - 27*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1335370 and 534148.\nAnswer: 2670740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -2*a**5 + 0*a**2 - 117\/8*a**4 - 1\/12*a**6 - 27*a**3 + 0*a + 71. Determine c so that g(c) = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434663092 to the power of 1\/2, to the nearest integer?\nAnswer: 66593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.01 + -1.0099919. What is v rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.86 + 2.16. Which is smaller: g or -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/(-717784)*-166)\/(1\/(-10)*-1).\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 9*m**2 + 16*m + 7. Let s be k(6). Sort s, 4, -11.\nAnswer: -11, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 24. Let o = m + -71. Let d = o + 8.97. Which is the biggest value? (a) -1\/8 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 3*t - 2. Let u be (-3 - -5)*26\/(-4). Let o = -22 - u. Let i = -11 - o. Determine q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 15, 99\/23, -1\/23, 3 in decreasing order.\nAnswer: 15, 99\/23, 3, 0.2, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 - 18*q**4 + 130*q**3 - 150*q**2 - 128*q + 168 = 0.\nAnswer: -14, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(5*g + g - 4*g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.14 (b) 8.1 (c) -2 (d) 4 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 c when three letters picked without replacement from {o: 2, r: 2, d: 4, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-75)*(-13)\/(-26).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {z: 5, e: 1, m: 2, n: 5, t: 5}?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86403, -35, 2, 1, -5, -4, -1.\nAnswer: -86403, -35, -5, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148796, 297590, 446382, 595172, 743960?\n\"Answer: -q**2 + 148797*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 647504 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = s + 4*s - 2*u, s + 2*u + 3 = 0. Suppose z - s*j = 14, j + 20 = 4*z - 2*j. What is v in -z*v**2 + 6*v - 4\/3 - 8\/3*v**3 = 0?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -43, -3, 7, 0 in decreasing order.\nAnswer: 7, 4, 0, -3, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03071471791 rounded to 6 decimal places?\nAnswer: -0.030715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 135*h.\nAnswer: -5*h*(h + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**2. Let m(k) = -1 - 2 + 3 + k**2. What is m(b(c))?\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (316\/(-12))\/((-2)\/(-20)). Let q = -266 - g. Are -2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 9*w + 10. Let j be f(-8). Let t = 1306.9 - 1307.4. Which is the second smallest value? (a) -1\/19 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:15 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 - 35 = 90*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221982.\nAnswer: 2, 3, 36997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -3680, 2641?\nAnswer: -3680","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 440 + 310. Let c = 24 - w. Let v = c - -70. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 6. Is 355\/4 + 1\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 64*q + 64. Let n be f(35). Let s = n - 371. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -231?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o - 8*o + 16*o - 27 + 4*o - 2*o - o + (1 + 0 + 1)*(2*o - o + 0*o) + 4*o - o - 2*o + (38*o - 11*o + 23*o)*(-4 + 1 + 0).\nAnswer: -145*o - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/7, -238, -234, -7, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32159372*h**2 - 266847344*h?\nAnswer: -64318744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 1:11 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 + 44*g**4 - 117*g**3 + 118*g**2 - 40*g = 0 for g.\nAnswer: 0, 4\/5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -458.1 - -458. Sort 1\/6, i, -2\/81 in ascending order.\nAnswer: i, -2\/81, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 38*q**2 + 4. Let h(s) be the second derivative of -s**4\/2 + 1080*s + 1. Give h(y(d)).\nAnswer: -8664*d**4 - 1824*d**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*x + 12 = 4*d, 4*d + 2*x = -2. Suppose 19 = -m + d*m. Let a = m + 3. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - h - 40 = 0, 5*h = 8 + 7. Let z = i + 71. Let r = z + -6. What is the least common multiple of 16 and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*4 - (-4 + sqrt(12) + sqrt(3)))*-1.\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1031*d + 3143. Calculate the remainder when 447 is divided by g(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.1 (c) -5 (d) -2\/7 (e) -225\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(30)\/sqrt(10)*1).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:22 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48812 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20617 - -35642. List the prime factors of u.\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 971*y + 243*y**4 + 806*y - 10*y**3 - 8546*y**2 - 1777*y wrt y.\nAnswer: 5832*y - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 101 in descending order.\nAnswer: 101, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 959 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5158327.\nAnswer: 17, 303431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 6*o. Let r be s(-5). Suppose -2*g = -0*q + r*q, -4*q + 5*g = 0. Suppose 30 = -q*m + 3*m. Solve -7*t = -2*t - m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 + 40*r\/9 + 182\/9.\nAnswer: 2*(r + 7)*(r + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*3460245\nAnswer: 13840980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 y when three letters picked without replacement from ylleeelleeyelyeeell?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - -241. Calculate the lowest common multiple of 70 and q.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*i - 4 + 96*i + 4 to the form v*i + u and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 4, 58*f - 54*f + w - 18 + 22 = 4*w - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -6*q + 42. Let y(g) = 8*g**2 + 5*g - 20. What is the remainder when y(q) is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21*x**2 - 15*x - 13. Let s(w) = 10*w**2 + 7*w + 6. Let c(k) = -13*s(k) - 6*v(k). Let r(p) = -p**2 + p. What is -c(u) - r(u)?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/8)\/((-15)\/30).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -9*d + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1011111001010111 (base 2) to base 6\nAnswer: 1013331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - 6\/39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 7*z**2 + 2*z + 6. What is q(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19313\/4 + 4869. Let a be (-8206)\/200 + (-7)\/420*-12. Let m = a + u. Is m > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 840?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370508899.\nAnswer: 8837, 41927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148 + -145. Suppose -2*c - s*q + 395 - 113 = 0, 3*c - 2*q - 410 = 0. Calculate the remainder when c is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*o - 3 = 0, -9*n + 4*o - 4 = -10*n. Suppose 345*l - 357*l + 11364 = n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -11012?\nAnswer: -10552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i + 124 = 34*i + 369 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 - 5*q**2 - 11*q - 3 = 0 for q.\nAnswer: -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f6c31f (base 16) to base 6.\nAnswer: -1334341251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 206*b**2 - 237*b - 476. Determine m(-2).\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxajjxw. Give prob of sequence jxa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, -15631 in ascending order.\nAnswer: -15631, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -50.3. Let z = y - -3.6. What is the closest to 1\/2 in -2\/5, z, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 - (-18 + 6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, -4\/53, 0.4, -1\/5, -0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -196823*h**2*q - 169*h**2 - 55*h + 3 wrt q?\nAnswer: -196823*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1597 + -1593. Factor 1\/3*m**3 + 0 + 2\/3*m**2 + 0*m - 1\/3*m**g.\nAnswer: -m**2*(m - 2)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7239 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 12 = -4*v, -v + 3*s = 25 - 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-145)*(-60)\/9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 42. Let d be r(14). Suppose -3*p + 9 = d, 2*p = -5*n + 6*p + 8. Is -3\/2 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 24. Let i be j(21). Suppose 4*k - 3*h - 3005 = -0*h, -i*h = 5*k - 3763. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1241500 + -1?\nAnswer: -1241501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**3 - 2*g**3 + 18*g**3 + 106 + 6*g**3 wrt g.\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**5\/10 + 9*s**4\/16 - 3*s**3\/2 + s**2\/8 + 3*s\/2 - 2. Factor z(l).\nAnswer: (l - 1)**2*(l + 6)*(2*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 12 + (-11)\/(-1) + -5.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - -11 - 3) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/30 - w**4\/6 - w**3\/6 + 7*w**2. Let u be f(4). Let x be u\/((-90)\/12)*7\/10. Is -2 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2919, 11648, 26187, 46530, 72671, 104604, 142323?\nAnswer: 185822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -280, -260, -240?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 645?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 520 and 3580057?\nAnswer: 143202280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2602\/3 + 858. What is the common denominator of 37\/8 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 628.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*n - 484*n - 197*n = -47687 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {a: 1, n: 2, m: 5, i: 5, j: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:13 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 5976 - 5976 + y. Let b(f) = -128*f - 3. Give q(b(p)).\nAnswer: -256*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 110*m = 112*m + 12, -16 = 4*c + 4*m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -861159, -861162, -861165, -861168, -861171, -861174?\nAnswer: -861177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 75. Let y = -18\/1039 - -2312\/13507. What is p in 0 + 2\/13*p**2 - y*p**3 + i*p = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 8332*u\/7 + 1190.\nAnswer: 2*(u - 4165)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let t = h - 0. Suppose 474 = 84*x - 30. Solve 3*n - x = -t*m - 2*m, 3*m - 4*n = 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2885?\nAnswer: 3\/2885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -89, -55, 17, 139, 323, 581?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/((-35)\/(-15)))\/(7\/49). Let i(m) = -25*m**3 - 4*m**2 + 4*m + 4. Let t(b) = -126*b**3 - 21*b**2 + 21*b + 21. Determine o*i(u) + 4*t(u).\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from zzzfffffzfzzf.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -18*g + 35. Determine q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 3*b**2 + 15*b - 37. Determine q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -1)\/(-2)*315\/56*-4. Calculate the greatest common factor of 3315 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1500))\/(-1*sqrt(9)\/sqrt(3)).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1490.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*q = -0*x - 240, x + 4*q = 65. Find the first derivative of -5*l + 7*l - l**2 + x + 3*l + 3*l wrt l.\nAnswer: -2*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1\/7, -0.6 in increasing order.\nAnswer: -0.6, -1\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-2) - (-5940)\/(-220) - -11. Let r = 1 - 5. Which is the nearest to -1.6? (a) r (b) 4 (c) 0.2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Suppose i*v + 3*u = 8 + 6, -2*u - 19 = -3*v. Let o = 9 - 13. What is the third smallest value in 0, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let d(h) = -8*h + 2. Let n(c) = -d(c) - 2*o(c). What is the tens digit of n(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckk when three letters picked without replacement from {k: 7, c: 9}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.08 (c) 5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(7\/4)*y*y**(-4))\/((y*y**(-1))\/(y\/(y*y**(1\/5))*y)))\/(y**9\/y**(8\/5))**(-2\/59) assuming y is positive.\nAnswer: y**(189\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -305*b**2 - 5. Let r(w) be the third derivative of -w**4\/24 - 300*w**2 + 1. What is r(f(g))?\nAnswer: 305*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 6 - 3*v + 3*v - 3*v. Let l be f(-4). What is the third derivative of -13*y**2 + 7*y**2 + 8*y**l - 3*y**4 wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2. Let q = 6 - 15. Let g be (-2)\/3 + (-24)\/q. Let m(n) = -4 + 0 + 4 + g*n. Give m(k(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(132)*-4*-2 + sqrt(132)))\/(-3*(sqrt(72)\/(-2*sqrt(6)) + sqrt(12) + sqrt(12))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16 + f - 11 + 2*f. Let h be z(-2). What is the units digit of (-4)\/h*(-19 + 39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-90)\/2 - 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/109 (b) 8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.415 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - 3*b + 3*b)*(0 - b + 0) + 2*b**5 - 5*b + 5*b + (5*b - 5*b + 2*b)*(39*b**4 + 1941*b - 1941*b).\nAnswer: 82*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 94, 93, 92, 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -2248?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8622610 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-32*28\/576).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85409 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3037 - 12454*o - 6074 + 3037 in the form s + t*o and give t.\nAnswer: -12454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -721 - -1487. Suppose -5*o - h - 284 = 0. Round o to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4068*q**2 - 6*q - 16?\nAnswer: 8136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h + 178. Let d(t) = -t. Give 3*d(b) + w(b).\nAnswer: 3*b + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 1, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**5\/160 - 29*o**4\/96 - 9*o**3\/8 + 27*o + 1. Factor q(g).\nAnswer: -g*(g + 2)*(g + 27)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -447148.2 to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/5)*y*(y*y*y**2*y)\/y)\/((y*y\/y**(2\/3))\/y**(-6\/11))*(y**0*y**4)**(14\/11) assuming y is positive.\nAnswer: y**(1454\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/11)*l\/l**6)\/((l*l**(-7))\/(l*l**(-2\/7))))\/((((l**(-2\/9)\/l)\/l)\/l)**33)**(8\/15) assuming l is positive.\nAnswer: l**(206539\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 8*x**2 + 3*x - 19. Let m be k(8). Let o be -3 - (-7 - (m + -5)). Suppose -5*i + 12 - 4 = -v, -4*i = -o*v. Solve b = 7 - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371 - -3.669400024\nAnswer: -367.330599976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 3*d**6\/10 - 3*d**4\/4 - 5*d. What is the third derivative of c(w) wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 127, 124, -107, -680, -1709?\n\"Answer: -19*i**3 + 130*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*w - 5. Suppose 1094 = 2*v - 2*m, -4*m = -9*v + 4*v + 2732. Suppose -v - 206 = -15*r. Calculate the highest common factor of w and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 70 = z. Let g = z - 4. Solve 2*s = 7*s - g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 15 in increasing order.\nAnswer: -5, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 202953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1843220644 and 7314.\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21102 - 2120010210012?\nAnswer: -2120011001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83\/15106*-52*16?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 4) in base 2?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o - 10. Let y(l) = -50*l - 70. Let g(f) = 20*d(f) - 3*y(f). Let u(x) be the second derivative of x**3\/3 + x**2 + x - 17. What is 3*g(n) - 14*u(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and 2.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/14 - 4\/(-14). Suppose 0 = t*l - 5 - 15. Suppose 57 = l*i - 47. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.395 rounded to one decimal place?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-18)*1*(4*-225)\/(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22141 divided by -3163\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3289787000 to the nearest one million.\nAnswer: 3290000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -6. Let y(u) be the second derivative of u**4\/4 + 5*u**3\/6 - 2*u**2 - 3*u + 90. What is the tens digit of y(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1815722499 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/5)\/(z*z\/z**(-1\/10)) assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639322.\nAnswer: 2, 373, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3*a**5\/5 - 7*a**2 + 31. Find the second derivative of c(z) wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 300, 424, 522, 588?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.8062 millilitres to litres.\nAnswer: 0.5978062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -1)*(-1)\/(-2). Let f(n) = -18*n**3 + 0*n + g*n - n**2. Is 7 a factor of f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, -1\/21, 0.3, -2 in increasing order.\nAnswer: -9, -2, -1\/21, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 31*c**7\/42 + 217*c**3\/3 + 439*c**2. What is the first derivative of d(p) wrt p?\nAnswer: 620*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from araaaaarraaaaaa. What is prob of picking 2 a?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646*r - 653*r = -189. Solve -47 = 4*i - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -52, -64, -78?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 0*v = -36. Suppose -2*u = v - 24. Find the second derivative of u*z + 14*z**3 - 14*z**3 + 8*z**3 wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 3. Let k be (-1 + 2)*o*4. Let s = -37 + 22. Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/42*13\/(-39)*2\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1223899 and 20828?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + (-10)\/8*(-48)\/(-12). Suppose -p*n = 26*n - 87712. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 2*m**3 - 2*m**5 + (-2*m - 2*m + 2*m)*(m**4 + 2*m**4 - 2*m**4) + (-2 - m + 2)*(2*m**4 - m**2 + m**2) + m - 6*m**5 - m.\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 32. Suppose j + c = 6*j. What is the units digit of j\/30 - 36\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*j = 55*j + 1020. Let f be (24\/15)\/(1\/(-5)). Let p = j - f. What are the prime factors of p?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2154*t + 10 = -b - 2149*t, 5*b + 7 - 5 = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 3, 381\/7, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 434789311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 545405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (23 + -8 - 9) - -42) + -5\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 2*v - 3. Suppose 4*u = -25 + 9. Let b be (-126)\/14 - u\/1. What is j(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 2:24 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 45 = 3*v, w + 3*w - v - 53 = 0. Let q(x) = -6 + 7*x - w*x - x**3 + x. Let j(d) = 25*d**3 + 61 - 68 - 5*d - 26*d**3. What is 4*j(a) - 5*q(a)?\nAnswer: a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46426 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 2*t - 1642 + 1624 = 0. Let h = 8 + -3. Suppose -2*u = 3*u + 25. Put h, 2, u, t in descending order.\nAnswer: h, 2, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -7*g**2 - 39*g + 19. Let b be n(-4). Solve -b = 4*j - 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/10)\/(q**(-23)\/q*q))\/((q\/q**(-15))\/(q\/q**0)) assuming q is positive.\nAnswer: q**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 83ca4 (base 13) to base 8\nAnswer: 717271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6215*u**5 + 43*u**2 + u - 3.\nAnswer: -372900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*i + 15 - 15)*(2*i - i + i + 3*i - 4*i + 2*i + (-4*i + 3*i + 3*i)*(3 - 6 + 2) + 5*i - 6*i + 2 - i).\nAnswer: 15*i**2 - 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 82 = 20*s - 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402*k**2 - 30*k**2 - 32*k**2)*(0*k - k - k).\nAnswer: 928*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 5 - 5 - 13*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 12 + 7 + (-3 - 24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-808*t + 1 - 241*t + 45*t)*(1 - t + 1 + 3*t + (0 + 2 - 4)*(-1 + 1 + 2*t)).\nAnswer: 2008*t**2 - 2010*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/2 + 4*l**2 + 101*l\/2 - 234 = 0.\nAnswer: -9, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79563.\nAnswer: 3, 11, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -2. Let u = 409\/2 + -200. Let n = 173\/38 - u. Which is the smallest value? (a) -1 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -15 - (-53)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.665812 to 2 dps.\nAnswer: -18.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 4 - 2 + 4*h + (-3 - 4 + 5)*(2*h + 3*h - 7*h))*(-9 - 2*h + 5 + 6) to d + m*h**2 + q*h and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1019 + 2211. What are the prime factors of l?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -529*j - 39. Let c be m(-9). Let f = c - 1592. Suppose -2*v - 4*i = -0*v - f, -2*v = 2*i - 3132. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*sqrt(275) + sqrt(275) + 5 - 4*(sqrt(275) + 2)))**2 + 0.\nAnswer: 100*sqrt(11) + 6879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 10*k**2 + 14*k + 12. Calculate m(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95908 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71901 - 71901.1. Let v = -0.1 + 0.5. Which is the closest to -13\/3? (a) -3 (b) p (c) 0.5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 6:44 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112011 - 102102212?\nAnswer: -12220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*4\/(-5))\/((-1122)\/33660).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -958 + 9579\/10. Put q, -4, -24.1 in decreasing order.\nAnswer: q, -4, -24.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 29334345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3408 less than 8239025?\nAnswer: 8235617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -4, 55, 1 in increasing order.\nAnswer: -4, 0, 1, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5628 and 248.\nAnswer: 348936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326300044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/3449612 and -5\/2124?\nAnswer: 31046508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6770)\/20 - ((-15)\/(-6) + -1). Is ((-16782)\/(-4))\/(i\/88 - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15 - 5 = 0. Let g be (24\/u)\/(4\/(-20)). Suppose 5*z - 69 - 48 = -2*t, -5*t + 105 = 5*z. Is g less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -3260194842.21.\nAnswer: -3260194842.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*9\/(45\/635) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -167, -229, -289, -347?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033604 times 0.338?\nAnswer: -0.011358152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 41. Suppose g*x = 5*h + 480, 6*h - 2*h = -2*x - 358. Let o = 79 - h. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -6) + 19 + -11 - -13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-22)\/31350*6\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 11 = 2*b - 7*b, -4*b - 4*m = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -129, -194, -259?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103155 and 8970?\nAnswer: 206310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-192)*8)\/(1\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -595*w + 496. Let o(u) = -408*u + 331. Let j(y) = 2*y. Let h(v) = 6*j(v) + o(v). Let l(b) = 7*h(b) - 5*r(b). Find the first derivative of l(q) wrt q.\nAnswer: 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = d - g, 74*d = 79*d + 5*g - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004181 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8135 - 16246 + 8111 - 331*z. Let n(p) = -2*p**2. Determine n(s(o)).\nAnswer: -219122*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (2 - 0) + 0. Let u be 1\/(3*l\/(-657)). Let g be -252*(-48)\/(-2352)*(-3)\/(6\/28). Is u at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 0.182, -2\/97, -4, 2\/7?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 44 = -30. Solve -6*x = v*x - 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 - -1) - -6 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/3)\/(1363\/(-14993)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**3*r + o**3 + o**2*s - 596*o**2 + 15*o*r*s - 8*o - 169*r*s - s wrt r?\nAnswer: -2*o**3 + 15*o*s - 169*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 2) + 0 + 1. Solve 0 = 4*q - 3*x + 3, x + 2 - g = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12678 - 4220 - 4229 - 16*l - 4229.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1558.656 millennia to decades.\nAnswer: 155865.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11 = -3*x - 118, 4*b - 3*x - 273 = 0. Suppose 18*v + 10*v = 37519 - 36959. Calculate the lowest common multiple of v and b.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 - -9.604?\nAnswer: 7.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 3.7247.\nAnswer: 24.7247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001111011 (base 2) in base 4?\nAnswer: 201323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f5 + 6?\nAnswer: 2fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:46 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 98*m. Let z(j) = -11*j**2 - 2*j - 2. Let g(s) = 5*s**2 + s + 1. Let n(u) = -2*g(u) - z(u). Calculate p(n(a)).\nAnswer: 98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*60\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.646542 weeks?\nAnswer: 391028601600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -808 - -810. Let i = 942 + 1804. Is t*(-3 - i\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3912678 * 0.4.\nAnswer: -0.15650712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 870620000 to the nearest one million.\nAnswer: 871000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 68.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:18 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 1496.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 10*q**2 - 9*q - 18. Give x(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 974244 and 24092?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1\/4 (c) 0.6 (d) 2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -307 + 27*y + 307 to f + z*y and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-7\/5)*d)\/d*d**37*(d*(d*d**(1\/52))\/d)\/(d**(-16)\/d) assuming d is positive.\nAnswer: d**(15189\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4380 by 5.\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:01 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -39*t**4 - 45*t**3 - 6*t**2 = 0.\nAnswer: -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 6:00 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -134, -149, -164, -179, -194, -209?\n\"Answer: -15*g - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 517 + -252. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 3\/((-9)\/15). Let o(k) = k**3 + 38*k**2 + u + 9*k - 3 - 29*k**2. Let p be o(-8). Let v(l) = l**2 + 3*l - 4. Give v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 0*a + a**2 + a)*(-7 + 6 + 0).\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from alaltltoatkkz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 586683 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: Collect the terms in 635*f + 612*f - 1243*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -101211?\nAnswer: 102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 15.6. Let t be (2\/(-8))\/((-12)\/(-16)). What is the closest to -1 in g, -0.3, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 100*o + 11879*o**3 - 3630*o**2 - 4205*o**4 - 95*o - 3759*o**3 - 120*o - 5 - 165*o = 0?\nAnswer: -1\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 332384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12984*l. Let b(z) = -z**2. Calculate b(c(q)).\nAnswer: -168584256*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + -4414124?\nAnswer: -4414103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*r + 2 - 10 = 0, -3*o = -r + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, -4\/29 in ascending order.\nAnswer: -5, -4\/29, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.32 - -3.62. Which is greater: h or -83?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6333 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 178767940 bigger than 178767939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6951*a**2 - 10*a - 584207 wrt a?\nAnswer: -13902*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*1\/8*(1 - 15). Let n(v) = 360*v + 432. Let o(c) = -239*c - 288. Let f(g) = u*o(g) - 5*n(g). What is the derivative of f(r) wrt r?\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 780\/24*(-84)\/(-273)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (5 + -4) - -19. Solve 4*k - v = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s = 40*s + 28. What is the remainder when 26 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/7)\/(43\/(989\/23))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 + l + 17*l - 2*l**3 + l**3 in the form o*l**2 + f*l + z + u*l**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-576)*-6*18\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = 0, 0 = -5*a - 5*c + 484 + 391. Calculate the remainder when 1541 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -1\/2, -0.4, 26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 14) to base 2\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 44*l**2 + 28. Let z(t) = -9*t**2 - 5 + 0 + t**2 + 0. Let n(h) = 5*q(h) + 28*z(h). Let u(b) = 9*b**2. Determine u(n(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66844*v**2 - 660*v - 46?\nAnswer: -133688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j, 3*m + j - 38118285 = -2535289. Round m to the nearest 100000.\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -38. Solve -2*f - 5 - 9 = -5*w, 3*w - 3*f - 3 = g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61 (base 7) to base 2.\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 44. Let t be (q + 22)*(0 + (-214)\/(-4)). Suppose -100 = -t*s + 103*s. Calculate the smallest common multiple of 5 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let o be (4 - (-1 + 4))*(1 + -2). Let x be (-1)\/(-6) + ((-22)\/12)\/o. Let q(h) = -6 - 5*h - h + 1. Give x*q(m) - 10*r(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:26 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*f**2*t**2 - 123*f**2*t wrt t?\nAnswer: 234*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.3 + -7. Let y = 0.3 - p. Let a(u) = -11*u - 34. Let r be a(-3). What is the closest to 2\/7 in -0.4, r, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 1, a: 1, w: 3, r: 10}. Give prob of picking 1 v, 1 a, and 1 o.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abnamdmqaqmabqm. What is prob of sequence da?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -c?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -420, 3, -8, -34 in decreasing order.\nAnswer: 3, -8, -34, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x - 1. Let v(i) = -7*i + 19. Let n be v(3). Let s be 0\/(5 + n) - (3 + -6). Which is the biggest value? (a) s (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 327*b**2. Let k(n) = 3*n**2. Determine k(f(s)).\nAnswer: 320787*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 3*w)*(8 - 2*w**2 + 5 - 8).\nAnswer: -2*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/21*(-154)\/(-22). Let v be 1 + k - (-594)\/135. Solve 15*c**2 - 57\/5*c**3 - 3\/5*c**5 - 48\/5*c + v + 21\/5*c**4 = 0 for c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**3*w**3 - 78*f**3*w**2 + 2*f**2 - f*w**2 + 2*w**3 - 1329*w wrt f?\nAnswer: -18*f*w**3 - 468*f*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 70590?\nAnswer: 141180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 22*z - 27. What is u(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 627706.2 to the nearest 1000.\nAnswer: 628000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/10)\/((-18)\/(-420)). Let u be ((-20)\/o)\/((-2)\/(-14)). Suppose t + 2*t = -2*j + 153, 0 = j + u*t - 87. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 50. What is the remainder when 57 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 13*b**2 - 5*b - 9. Let u be k(6). Let m(x) = -x**2 + 1. Let h(t) = -t**3 - 4*t**2 + 5. What is u*m(w) + h(w)?\nAnswer: -w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289889330.\nAnswer: 2, 5, 53, 546961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-222)\/(-11) + 1720\/(-86)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 552*x**2 - 15*x - 1. Let v = -98 + 97. What are the prime factors of s(v)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 641 from 2.1517.\nAnswer: -638.8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 68. Let u be q(-11). Is u*(1 + 153282\/(-12) - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 0.8496.\nAnswer: 4.8496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3881241, -3881242, -3881243, -3881244, -3881245?\n\"Answer: -v - 3881240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39871471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*z + 2)*(-5 + 0 + 4) + 0*z - 2*z + 3*z + (z + z - z)*(-3 + 3 - 2) + (-z + 0*z + 2*z)*(6 - 3 - 2) - 1 + 1 - 5*z to t*z + x and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 33188954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/54 or 1?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 6*c - 37. Let r be k(-9). Is 2\/r + (-6258)\/(-15) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -466 + 467. Let t = 101.96 + -102. What is the smallest value in t, -2\/9, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 9*z = -7423. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.587, 2\/11, 5 in decreasing order.\nAnswer: 5, 0.587, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = l - 7, 0 = 3*o + 35*l - 38*l + 15. Is 2\/513 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -j + 1518, 0 = -k - 0*k + 3. Suppose 5*l = 2*l + j. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.5 (b) -8.851 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 392 - 378. Let m(g) = -4*g**3 - 3*g**2 - 3*g. Let l(a) = 9*a**3 + 7*a**2 + 7*a. Determine w*m(r) + 6*l(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.584 + -4.584. Let m = 0.53 + -0.73. What is the closest to 0.28 in m, j, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 8*i - 714. Let x = -157 - i. Suppose -x = -2*j + 21. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64\/(-3)*(-9)\/6. Let c be 1250*(-15)\/6*z. Round c to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1223522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 27 - 22 - -12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4288 and -11\/430274?\nAnswer: 13768768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15404, -15403, -15392, -15365, -15316?\n\"Answer: f**3 - f**2 - 3*f - 15401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 517 + -503. Let t be 2 + y + -2 - -4. Calculate the greatest common divisor of t and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2583 + 503.\nAnswer: -2080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 4:25 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230 by -46.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -727834.\nAnswer: 65505.06","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4\/4 + 2*o**3 + 3*o**2 + 9*o - 3. What is the units digit of q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 182, 510, 848, 1202, 1578, 1982, 2420, 2898?\n\"Answer: g**3 - g**2 + 324*g - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836*o**2 - 25 - 89 - 835*o**2.\nAnswer: o**2 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45\/6*(-12)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/583 and -43\/1113?\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 1139, 2553, 4523, 7043, 10107, 13709, 17843?\nAnswer: 22503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 19. Calculate the remainder when 49 is divided by x(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 3 + 8 - 4*a**2 - a**3 - 4*a. Let s be d(-4). Let p = s + -2. What is the least common multiple of p and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 69 - -15 - 44.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55553 is divided by 27771?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100*10.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -38052*-337\nAnswer: 12823524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 31344*h - 94010. What is t(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31402724*m**2*n**2 + 13*m**2*n + 5*m**2 + 101*m*n + 2*m + 4 wrt n.\nAnswer: -62805448*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13353 or 13351?\nAnswer: 13351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 145\/4. What is the third derivative of -4*w**2 + 36 - z + 2*w**4 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)*-1 - 1. Suppose 14 + 19 = 3*j. Let l = j - 3. Put l, m, -2 in ascending order.\nAnswer: m, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 16 - 83 + 212*f + 47 + 19 + 13*f**2 to the form u*f**3 + l + a*f**2 + m*f and give m.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -263 - 3096.19095991.\nAnswer: -3359.19095991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -300550.22 minus -19?\nAnswer: -300531.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -60 (c) -0.2 (d) 0.2 (e) 0.13 (f) -51.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.4 + 2.4. Which is the closest to 0.2? (a) -1 (b) u (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(5) + 1) + (sqrt(720)*2 + sqrt(720) - sqrt(720)))*5)**2 - (-4*sqrt(60)*1)\/(sqrt(972)*1))*6.\nAnswer: -71992*sqrt(5)\/3 + 302400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -4*(sqrt(1300) + 1) - sqrt(1300)) + -3 - -4*(0 + sqrt(1300))*-1.\nAnswer: -80*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 2*j**5\/5 + 9*j - 9. Differentiate u(r) wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 54*k. Let s(v) = v**2 - 2*v - 2. Let f be s(3). Let q be u(f). Suppose -3*b = -b - q. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a - -5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2168, 2176, 2188, 2204, 2224, 2248?\n\"Answer: 2*i**2 + 2*i + 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2276, -8413, -18794, -33545, -52792, -76661?\nAnswer: -105278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Suppose n*q = 9*q + 16. What is the second biggest value in 0.5, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1128899784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8536 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2, -1\/4, -5, -0.2, 611?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 5)\/((-2)\/33). Suppose -b + 16 = -3*z, -6*b - 2*z = -10*b + 44. What is the remainder when b is divided by ((-22)\/j)\/(4\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose 5*u - 2*u - 90 = q. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f - 3. Suppose -5*s - a = -37, s - 6*s + 25 = 5*a. What is the units digit of b(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2586972926862.46 and 1.\nAnswer: -2586972926861.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-45)\/35) - -1)*92340\/(-16416).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - j = 9, 3*j = l + j - 13. Solve -3*a = -2*a + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 + 24 - -26) + -19 + -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -61, -138, -253, -412, -621?\n\"Answer: -o**3 - 10*o**2 - 8*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 take away 0.9?\nAnswer: 533.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0 + 6. Let o = k - 1. Let s = 1 + -3. Put o, s, 4 in descending order.\nAnswer: 4, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6215 (base 11) in base 12?\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (609*f + 357*f + 3749*f)*((4 - 6 + 3)*(-1 - 2*f**2 + 1) - 2*f**2 + 2*f**2 + f**2) to the form x*f + v + i*f**3 + h*f**2 and give i.\nAnswer: -4715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -86. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/2? (a) 7 (b) 1 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by 36?\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**2 - 40616*o**3 - 46*o**2 + 24*o**2 - 25473*o**3.\nAnswer: -66089*o**3 - 44*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17320 + -17337.385. What is j rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28542 - 28569. Are z and -676 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrd when three letters picked without replacement from {r: 7, d: 8, i: 3, e: 2}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(637)*-2)**2 + sqrt(637).\nAnswer: 7*sqrt(13) + 7640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 22*c = 27*q - 268, 0 = -2*q - 5*c - 47 - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/4827 + 467999\/212388. What is the common denominator of 2120\/320 - -1*2 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*a - 707 = -18, 2*n - 3*a - 466 = 0. Which is greater: 228 or n?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*w**3\/7 - 254*w**2\/7 - 684*w\/7 - 592\/7 = 0. Calculate w.\nAnswer: -4, -37\/15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-204)\/24)\/((-1)\/2). Let w(d) = d**2 - 11*d + 15. Let y be w(x). Suppose h + y = 4*h. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -23042*n. Let l(d) = -2*d + 119. What is l(a(f))?\nAnswer: 46084*f + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15478.\nAnswer: 2, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1, 4, 16480, -6\/29 in decreasing order.\nAnswer: 16480, 4, 1, 3\/4, -6\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, 19, 14, 2\/3, -0.02, -0.06, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1289 - 0.045\nAnswer: -1289.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -b - 0. Let g be -1 + (4 - 62 - -2). Let o = g - -66. What is the remainder when b is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 9*t**2 - 6*t - 5. Let d = 32 - 40. Let y be j(d). Let s = -64 + y. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30147941 by 30147941.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-2)\/48)*(25688\/156)\/(-247)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-44))\/(-52 + 2650\/50).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 8. Let n be g(7). Suppose -n = 3*i, 5*u + i - 2*i = -10. List the prime factors of (-4)\/2*u\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2522 - -418?\nAnswer: -2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -44*g**3 - 5*g**2 - 5*g + 99. Let q(s) = -67*s**3 - 7*s**2 - 7*s + 148. Let b(v) = 7*a(v) - 5*q(v). Differentiate b(l) wrt l.\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13405 divided by -77?\nAnswer: -1915\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76*-72624.\nAnswer: -5519424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110001 (base 2) to base 5\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117722954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 502*u**2 - 47*u**2 - 55*u**2 + 148*u**2 as n*u + a + w*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 10516.\nAnswer: 10516.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 521\/350 + 2\/175. Let v(p) = p**3 - p**2 - 3. Let k be v(0). What is the nearest to 1\/5 in j, k, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/36624 and 157\/823344?\nAnswer: 628211472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -0.4 (c) 1\/4 (d) -7\/234\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115635?\nAnswer: 3, 5, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-1)*u)*u**(1\/19)*(u**(-4\/7)\/u)\/(u\/(u*u*u\/(u*u**(1\/4)*u))) assuming u is positive.\nAnswer: u**(-409\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 3*b - 4. Let p be k(-5). Let w be 0 + 6\/(p\/2). Let x(c) = 2*c**2 - c**w + 1 - 1. Let m(y) = 2*y**2. Calculate x(m(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, 23, 69, 133, 215?\n\"Answer: 9*d**2 + d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16771\/8115 - 14\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 4. Let x(v) = -4*v + v**2 + v**2 - 3*v**2 + 2. Let w be x(o). Solve p = w*f - 4 + 18, 9 = -4*p - 5*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/312 and 155\/78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*(z\/(z**(-2\/25)\/z))\/z*z)\/(z*z*z**(-14)))\/(z\/z**(2\/13))**(-1\/10))**(-16\/11) assuming z is positive.\nAnswer: z**(-84056\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(684) - sqrt(684)*-1) + sqrt(684)*-2*-3)**2 - -5*(5*(-2 + 2 + sqrt(684) - sqrt(684)))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*b + 124*b - 138*b = -426*b - 8877 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = -j, -f = j - 43. Suppose 14*g + 1264 - 4344 = 0. What is the greatest common divisor of f and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 7*k = -3*k - 17, 4*f + 5*k - 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 4*g**2 + 3*g - 1. Let z = 5 - 0. Suppose 5*t + n + 3 = 6, 5*n - 15 = z*t. Let k be (t - -1)*(0 - -2). Give p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.03 + 0.03. Let z = 2.8 + -3.05. Let q = z - -5.25. Which is the third biggest value? (a) q (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30103322 (base 4) to base 14\nAnswer: 1453c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 41*b**2 - 61*b**2 - 17*b**2 - 80*b**2. Let u(n) = 2*n**2. Calculate u(r(d)).\nAnswer: 27378*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*x = 4*q - 56, -q = -x - 12. Let j = 0 - 40. Let m be (-110)\/j - (-2 - 7\/(-4)). Solve -m*k + 5 = -q*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27037762, 54075517, 81113266, 108151009?\nAnswer: 135188746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72440196421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/46*(-268)\/(-402).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 3)\/(0 + 1)*-10. Suppose 2*g + j = -3*o, 5 = 6*o - 7*o - g. Let r(m) = m**2 - m + 19. Give r(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71\/2 in 4, 3\/2, 425.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eb53 (base 16) in base 14?\nAnswer: 17d51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 34 (c) -0.259 (d) -5\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) -8 (c) -2\/3 (d) 1\/2 (e) -440\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16876901.\nAnswer: 47, 419, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 12*l + 29. Let r = -67 + 58. Let o be g(r). Suppose -x + 5 = 4*x. Sort o, x, -4.\nAnswer: -4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1488, -1479, -1464, -1443?\nAnswer: -1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**3 - f - 1. Suppose 0 = -u + 7*u + 6. What is z(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*w + 4*w**2 + 138*w - 264*w + 21*w**3 + 20 in the form f*w**3 + h*w**2 + y + v*w and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62553 by 3.\nAnswer: 20851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 161. Let z(b) = -4*b - 484. What is -7*t(x) - 2*z(x)?\nAnswer: x - 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 60*t\/7 - 16.\nAnswer: -2*(t + 2)*(t + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -234015, -936067, -2106157, -3744285, -5850451, -8424655, -11466897?\n\"Answer: -234019*w**2 + 5*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 6.216?\nAnswer: -1.2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 10*d. Let m be p(8). Let i = m - -10. Suppose 4*s - 2*s = -2*v + 12, -25 = -4*v - 5*s. Sort i, -3, v.\nAnswer: i, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.6 + 13.4. Let v = 20 + 10. Let b = c + v. Which is bigger: 0.2 or b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1884*j + 24. List the prime factors of n(1).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6 + 4 = 0. Let s(h) = 5*h**2 - h. Suppose 5*l = -2*q + 20, 2*l + 2*q - 5 - 9 = 0. Calculate the least common multiple of s(f) and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-13 - (10 + -8) - -25).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3097.942 - 3098. What is the second smallest value in 0.9, 2, 1\/6, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2265, 2, 91.3, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggzggzgg. Give prob of picking 4 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -1 + sqrt(833) + 1)*6 + -2)**2.\nAnswer: -336*sqrt(17) + 119956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 0.5, 1\/24, -3, 79729 in descending order.\nAnswer: 79729, 0.5, 1\/24, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 4 (b) -0.05 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 32 = -33. Let p = 29 + g. Suppose 2*n = p + 6. Solve 2*j + 4*v - 36 = -2*j, -v = -4*j + n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n - 4*o + 28, -3*n - o = 38. What is the tens digit of 4*(4 - 165\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3, 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = 2*m, 15 = -20*m + 23*m. Factor -v*s**2 - 3*s**3 + 4*s**2 + 3*s**2 + 0*s**2 + 4*s**3.\nAnswer: s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3992962327 = 14*c + 115*c - 277117327. What is c rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 35*d**2 + 93*d. Let h(n) = 37*n**2 + 92*n. What is 5*h(c) - 4*i(c)?\nAnswer: 45*c**2 + 88*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41490 times -2235?\nAnswer: 92730150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9826*i**2 - 125*i - 1274. Let l(r) = -4912*r**2 - 69*r - 636. Let s(y) = 9*l(y) - 5*x(y). Find the second derivative of s(f) wrt f.\nAnswer: 9844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**5 - 804*k**4 - 10611*k**3 + 4374*k**2 = 0. What is k?\nAnswer: -27, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 9) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 4. Let w be p(4). Let v be w\/(-14) + (-2)\/(-7). Suppose -5*x + 17 = -h, h - 14 = -2*h + v*x. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 5:16 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:25 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61533918 to the power of 1\/2, to the nearest integer?\nAnswer: 7844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2. Let i(t) be the second derivative of -5*t**3\/6 - 4*t. Give i(l(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25454*p**2 + 5294 - 5294.\nAnswer: -25454*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 392 + -388. Solve -y*t - 2*k + 3*k - 11 = 0, -2*k - 17 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6232\/(-380))\/((-84)\/(-18) + 1456\/(-240))\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 24 + 3*k**2 + 4*k**2 + 6*k**2 + k. Let r(f) be the second derivative of f**4\/4 + 3*f**2 - 24*f - 2. Let d(h) = 2*c(h) - 9*r(h). Determine d(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*b - 19 - 29, 0 = 2622*k - 3*b + 10673 + 15535 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 4573?\nAnswer: -4573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9*x**(-13))**(-5\/13) assuming x is positive.\nAnswer: x**(20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by (49728\/24)\/28 + (10 - -1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 4 = -19*m. Suppose 7*j - 60 = m*j. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6367307 from 0.1471.\nAnswer: -6367306.8529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*36\/1872*(-234)\/(-5760).\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7264, 7484, 7856, 8386, 9080?\n\"Answer: y**3 + 70*y**2 + 3*y + 7190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 9, 0, 5.\nAnswer: 0, 4, 5, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30860 by -3388.\nAnswer: 7715\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 834811, 5, 2 in descending order.\nAnswer: 834811, 42, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/20)\/(((-99)\/(-55))\/((-1152)\/(-320)))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547612345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 16 = 2*p, -3*p + u + 13 = -p. Let n(y) = -9*y + 23. Calculate n(p).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + sqrt(833)*2)*3 + sqrt(833))*-6 - 3*1*(sqrt(17) + -2)*-1.\nAnswer: -417*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*n = -98*n + 14490 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 1, 4, -15, -58 in descending order.\nAnswer: 4, 1, -15, -41, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/14)\/(h**(2\/3)\/h*h))\/(h*h**(-12)*h**(3\/11)) assuming h is positive.\nAnswer: h**(4681\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 7*f**2 - 4*f + 1. Let v be k(4). Let l be 10\/(-135)*-3 - v*-4. Suppose -2\/9*x - l*x**3 - 10\/3*x**2 - 14\/9*x**4 + 4\/9 = 0. What is x?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102589 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*s + 97, 0 = -2*u + 3*s - 90 + 266. Is (-1)\/(-2)*(u + -11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 800*b\/3 + 1601\/6.\nAnswer: -(b - 1601)*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65 - 54?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1720 and 688?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p = 172600 + 224373 + 2017467. What are the prime factors of p?\nAnswer: 2, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + k**4 - k**4 + (5*k - 5*k + 2*k**2)*(-k**2 + k**2 + 7*k**2) - k**4 - 2*k**2 + 2*k**2 + 2*k + 3*k**4 - k + 7*k.\nAnswer: 14*k**4 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o - 4*z + 7 = 0, -4*z = -12. Let l = -9 + 24. Let a = l + o. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (-1 - (-4 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in -1\/6, -0.3, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t*w**4 + 92*t*w**3 + 9*t*w**2 + 2*t + 61*w**4 + 58*w**3 - w**2 + 424413 wrt w.\nAnswer: 24*t*w + 552*t + 1464*w + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 4*l**3\/3 - 7*l**2\/2 - 2241*l - 2544. What is the first derivative of x(g) wrt g?\nAnswer: 8*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from fyomfjmfojzymfmzfm.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/3597725 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3928 - 3949. What is the nearest to 0.2 in r, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**2 + 0*i**2 + 0*i**2)*(-2*i + 0*i + 3*i) - 2*i**3 + 5 - 5 + (-1 + 0 + 2)*(2*i + 2*i**3 - 2*i) - 4*i**2 + 2*i**3 + 4*i**2)*(-4*i + 0*i + 5*i).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/30)\/(1\/9). What is the common denominator of (((-3)\/(-20))\/(-3))\/(v\/594) and 1\/(-2) + (-162)\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -17899383799.\nAnswer: -17899383795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaxuaaaux. What is prob of sequence aaaa?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/619348 and 41\/112.\nAnswer: 17341744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 + 3*j**4 - 9*j**4 - 7 wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 13*s**3\/6 + 3*s**2 - 15*s. Let h(j) = 27*j + 11. Let d(y) = -11*f(y) + 6*h(y). Let k(g) = -g**2. Calculate k(d(x)).\nAnswer: -361*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a32 + 214bc?\nAnswer: 1e98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31875\/1173000)\/(2\/46).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7938)\/(-891) - (-9)\/(-1)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+33737\nAnswer: 33737.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 4 + 149*i - 78*i - 76*i. Let q(j) = -j**2 + 5*j - 5. Suppose 63 = 7*c + 91. What is c*b(r) - 3*q(r)?\nAnswer: -r**2 + 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 79*d + 1. Let t be k(1). Let p(i) = -i**3 + i**2 + 14 + 6 + 3*i**3 - i**3 - i. Let h be p(0). Calculate the greatest common divisor of t and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b - b**2 - 4*b)*(-2 + 6 - 2 + (0 + 0 - 2)*(2 - 4 + 4)) in the form k + m*b + x*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 + 1101220121121?\nAnswer: 1101220120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -5, 5, -5\/2, -762?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3192411035 to the nearest one million.\nAnswer: -3192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u = -4*r - 214553, 3*u - 128730 = 3*r. Let k = u - 2703460\/63. Find the common denominator of 76\/21 and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*o + 55, -97*j + 3*o - 3 = -95*j. Solve u + j*t + 3 = 8*t, -2*u + 12 = 5*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f - 61*f + 215*f + 68*f + 3.\nAnswer: 272*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.984067 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*a - 188*a + 140. Calculate the highest common factor of 56 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w**5 - 2416*w**4\/3 + 11804*w**3\/3 - 12896*w**2\/3 + 5236*w\/3 - 240 = 0. Calculate w.\nAnswer: 1\/3, 1\/2, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100, -177, -306, -487, -720, -1005, -1342?\n\"Answer: -26*s**2 + s - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1080 and 17\/48240.\nAnswer: 144720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-559)\/(-39) + -1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let r(p) be the second derivative of 13*p**4\/12 - 9*p**2 - 320*p. Give r(q(n)).\nAnswer: 13*n**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 + 7*p + 3. Let f be l(-5). Let i = 24 + f. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-24)*-6 - -38. Suppose 0 = -p - 15 + d. Do 21 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1) + -2 - 1. Put 1, 6, j in increasing order.\nAnswer: j, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 7*u**2 - 7*u - 3. Let z be o(-6). What is the third derivative of 3*b**2 + z*b**3 - 5*b**3 + 4*b**3 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 375.3 - 7612.3. Let o = 7233.927 + k. What is o rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2423 by -95.\nAnswer: 2423\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.0166504?\nAnswer: 0.0166504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + -2 + sqrt(1053)*2)*1 + (-3 + sqrt(1053))*1*-3)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 + 687*i**2 + 6795*i + 16925 = 0. What is i?\nAnswer: -677, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q - 4. Let m be q + 45\/(-12) + 3. Let g be ((-3)\/14)\/((-3)\/4). Which is the nearest to g? (a) 2 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28295059, -28295044, -28295029, -28295014?\n\"Answer: 15*q - 28295074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwjjmc. What is prob of sequence jwwm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 1. Let y be g(-7). Let n(f) = 4*f**2 + f - 46. List the prime factors of n(y).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -781.2562586 rounded to the nearest integer?\nAnswer: -781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 381 + -239. Suppose 5*j + 32 = l. Calculate the highest common divisor of 242 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38782*a**2*m**3 - 220*a*m**3 - 2*a*m**2 + 8*m**3 - 1 wrt a?\nAnswer: -77564*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 5*n + 888. Suppose -2*l = 4*y - 312, -3*l + 235 + n = -5*y. Let u = l - -3. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 - 8*c**3 - 4*c**3 + (0 + 1 + 1)*(3*c**2 - 3*c**2 - 4*c**3) as w + f*c**3 + a*c + q*c**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153\/5 - -1387\/45. Let l = 1.1 - 1.1. What is the nearest to l in x, -1\/2, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 3. Let q(l) = -3*l**2 + 77*l - 116. Let b be q(24). Calculate m(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 37.135, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37566 is divided by 17981?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 18 + 18 - 3*b + 4*b - 2*b + (0 + 2 - 1)*(-4*b - b + 3*b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -21. Let j = s + 14. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2 - 11*d - 12. Let a be h(-10). Is 3\/(-6 + 0)*a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52993892815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*u - 7*u + 6*u)*(-u + 0*u + 4*u)*(1 + 6 - 1) to the form i + n*u + r*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 284598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 r, and 1 u when four letters picked without replacement from rcyuz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 + 5*y**4 - 2*y**4)*(3 + 0 - 2) + 145*y**4 - 690 + 690 + (7*y**2 - y**2 + y**2)*(-2*y**2 + y - y + (3 - 6 + 4)*(5*y**2 + 0*y**2 - 4*y**2)).\nAnswer: 136*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9207688 millennia to months.\nAnswer: 11049.2256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*a**4 + 3\/4 + 3\/4*a**3 + 3\/4*a**2 - 7\/4*a = 0. Calculate a.\nAnswer: -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 1.2. Let u(n) = -36*n**2 - 1082*n - 60. Let w be u(-30). Put w, l, 97, 4\/5 in increasing order.\nAnswer: w, 4\/5, l, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -442 + 567. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -3\/95 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (32\/4 + -18)*(-12)\/5. Solve 0 = 6*u - 0*u - y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -905388 rounded to the nearest one thousand?\nAnswer: -905000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5\/9 + 224*k**4\/9 - 1184*k**3\/3 + 11648*k**2\/9 - 10816*k\/9.\nAnswer: -4*k*(k - 26)**2*(k - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*a - 98 = 119*a - 5 + 78 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120 + 103 - 53 + (0 + 1 - 2)*(-2 + 2 + 1))*(-13 + 13 - 7*c)*(c - c + c).\nAnswer: 497*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11240*h + 345285 = -936075 for h.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-96)\/20)\/(-4)*-145. Let g = 385 + i. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (121202\/(-5))\/(-6*(-12)\/(-1260 + 0)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4225184 and 1675504.\nAnswer: 97179232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/99 and -91\/1192860.\nAnswer: 13121460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*f)*(f**4 + 0 + 0) + 2*f**5 + 2*f**5 - 6*f**5 - 3*f - 2*f**5 + 3*f + (0*f**2 + 0*f**2 + f**3)*(1 - 1 + 2*f**2) - 2*f**5 + 2*f**5 - f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 3, b: 5}. Give prob of picking 1 b, 1 j, and 1 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24048924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(-2*b + 6*b + 3*b)*(1289*b + 1261*b - 32*b) to the form c + k*b + t*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 + 2*a - 6. Suppose q + q + 2 = 0. Let u(l) = -3 + 1 + 3 + 0 + l**2. Let z(j) = q*o(j) - 6*u(j). Find the second derivative of z(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*59905.\nAnswer: 119810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 2 - 2\/3*v**4 - 2*v - 15\/2*v**2 + 1\/6*v**3 + 1\/20*v**5. Determine w(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016853746 rounded to six decimal places?\nAnswer: 0.001685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-91281)\/36 + -4 + 1. Let s = f - -2537. Calculate the common denominator of s and 75\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -34*d**3 - 491*d**2 + 1084*d - 559 = 0.\nAnswer: -559\/34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100048*k**2 + 200062*k**2 - 100010*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 470226266?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 + 6*t - 2. Let h be m(5). Suppose 0 = 7*p - h*p - 20. Factor -i**2 + 16*i**p + 20*i**3 - 4*i**2 - 36*i**4 + 4*i**3 + i**2.\nAnswer: 4*i**2*(i - 1)**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**3 - 5*m**2 - 17*m + 9. Let n(w) = -5*w**3 + 5*w**2 + 15*w - 8. Let f(z) = 5*n(z) + 4*p(z). Suppose -48 = -5*q - 18. What is f(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135 + 18*f + 3\/5*f**2.\nAnswer: 3*(f + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 64. Calculate the greatest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 174*s**2 + 12435*s + 25542.\nAnswer: -3*(s - 43)*(s + 2)*(s + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -95, -368, -837, -1514, -2411, -3540?\n\"Answer: -2*q**3 - 86*q**2 - q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x. Let l(v) = -2*v**2 - 6137*v + 2. Give l(p(o)).\nAnswer: -32*o**2 + 24548*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 15) in base 7?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 5?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = 9. Suppose 2*h - 2 = 0, 4*g = -0*g + 4*h + 136. Suppose 3*w - 25 = 4*j, -6*w + 5*j = -w - g. Are u and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 6. Let w(q) = q + 1. Give -2*l(u) + 14*w(u).\nAnswer: 22*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -3 (b) -2 (c) -37 (d) 0.3 (e) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 44 (c) -0.1 (d) 264708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 628040 and 439628?\nAnswer: 4396280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 1123 (c) -0.2 (d) -2\/77 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -393*g*j**3 - 2*g*j**2 - 1668*g*j + 275*g*l + 23*j**3*l - j**3 + 46*l**2 wrt l?\nAnswer: 275*g + 23*j**3 + 92*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5*(sqrt(171) + -3 - sqrt(171))**2 - 1*(sqrt(171) + 3)) + (sqrt(171) - (sqrt(171) - 2*sqrt(171))*-5 - 5*(0 + sqrt(171)))**2 + -4).\nAnswer: -55556 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(1*-1*(sqrt(35) - sqrt(35)*-2)\/sqrt(5) - ((-1 + (sqrt(7) - sqrt(7)*1 - sqrt(7)))**2 - (sqrt(7) - (sqrt(252)*3 - sqrt(252)))**2)).\nAnswer: -2512 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p**3 - 26*p**2 - 8*p + 29. Let k(c) = 4*c**3 + 9*c**2 + 3*c - 10. Let x(f) = -17*k(f) - 6*t(f). Give x(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddbdddbd. What is prob of sequence bbd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30073, -29858, -29643?\n\"Answer: 215*b - 30288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:56 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.806867 to 2 dps.\nAnswer: -5.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8137a3 (base 13) to base 3\nAnswer: -12122202120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.556 to one decimal place.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 522.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69056970 is divided by 35432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 46*d + 44*d = 38, q + 5 = -5*d for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216 + 422. Let t = -637.7 + y. Let u be -3*((-300)\/(-153) + -2). Which is the third biggest value? (a) u (b) -1 (c) t (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -5, -0.1, -0.27?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let w be (o\/(7\/4))\/(-2). Let v = -898.4 + 898. Which is the nearest to w? (a) -4 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*j + 2*j**2 - 1\/2*j**3.\nAnswer: -j**2*(j - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 6. Let f be n(-3). Let t be 6\/(-9) - (-4)\/f. Solve -3*b + 3 = -t*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5132642 and 28229531?\nAnswer: 56459062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8129 - 7856. Calculate the least common multiple of a and 364.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90684601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -22198.84 - -22772. Let g = p + -574. What is g rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -92*l + 6. Let p(n) = 46*n - 3. Calculate 9*p(a) + 4*r(a).\nAnswer: 46*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 447\/11827 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20\/39?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**2*m**3*s - j**2*m**2*s**3 + 4*j**2 + 31*j*m**2 - 2*m**3*s**3 wrt j?\nAnswer: -8*m**3*s - 2*m**2*s**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/822 and -41\/13713.\nAnswer: 3757362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b**3 + 3*b**3 + 0*b**3)*(2 - b - 2) - 23*b**4 - 50*b**4 - 6*b**4 to v + d*b**2 + o*b + y*b**3 + x*b**4 and give x.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = -0*s - 5*s, 5*r + 2*s + 8 = 0. Let t(k) = -k**2 - 2*k. Let g be t(r). Suppose y + y = g. Is 1 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 4. Let v be h(-4). Let q be 2*-2*(-2)\/v. Sort q, 4, 0 in decreasing order.\nAnswer: 4, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 - 177. Suppose z - 6 = -2*o + 13, -5*z = 3*o - 39. Suppose 3*c - c = o. Put 3, c, k in descending order.\nAnswer: c, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1825 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**6\/60 + 7*j**3\/6 + 15*j**2. Find the first derivative of q(c) wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2) + 3*2. Let r = 76 + -609\/8. Suppose 97*x + 41 = 56*x. What is the closest to l in 2, x, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7 - 8 + 96*f - 1 - 5. Let t = -9 + 11. Is y(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 9) to base 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 251*b - 5279. Let f be j(21). Let n(x) = -58*x**2 + 5*x - 8. Let k(i) = 39*i**2 - 3*i + 5. What is f*k(s) - 5*n(s)?\nAnswer: -22*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/(4\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -720.\nAnswer: -11\/720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-13)\/26*(-48)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/9)*w)**35 assuming w is positive.\nAnswer: w**(280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - h + 29, -3*r - 9 = -15*h + 18*h for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 4}. What is prob of picking 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 7*a**2 + 7*a - 7. Let m(l) = l + 3. Let y(w) = w**3 - 2*w - 1. Let b be y(2). Let r be m(b). Let h be z(r). Let x(c) = 5*c. Give x(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990193781?\nAnswer: 3, 663397927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.7? (a) -0.0759 (b) -1 (c) 5 (d) 1\/3 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852283?\nAnswer: 19, 31, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82953635 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 - -125412?\nAnswer: 125322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -19*a**2. Let d(i) = 1790252*i**2. Determine x(d(r)).\nAnswer: -60895042246576*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1554*c**3. Let w be u(1). Let o = w - 595. Suppose -g = -2610 + o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {s: 4, v: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.55 + 0.55. Let o = v + 41.00000124. What is o rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1300) - (3*3*sqrt(1300) + sqrt(1300))**2 - sqrt(1300)*-2*-5) + 0.\nAnswer: -390000 - 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.0904 + 0.0504. What is t rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54.26 - -0.24. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1923336.\nAnswer: 2, 3, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -1\/47 (c) -15 (d) 0 (e) 3 (f) 184\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 7*n**2 + 0*n - 2*n**4 - 3*n + n - 6*n**2 in the form p*n**2 + w*n + r + d*n**3 + s*n**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64516017 smaller than 64516018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h + h)*(4 + 19*h + 2*h**2 - 19*h + (-3 - 1 + 2)*(-2*h**2 + 1 - 1) + 0*h**2 + h**2 + h**2).\nAnswer: 24*h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyr when three letters picked without replacement from {k: 1, r: 1, s: 1, y: 3, z: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/4 - (1 - -2). Suppose 0 = -19*q + 33*q + 42. What is the third smallest value in 0.1, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/6)\/(2 - (-24)\/(-18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c + 4*m + 252 = 0, c + 4*m - 58 = 0. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30107396 is divided by 361.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9401011 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 468920747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0 - 0. Suppose 2*y - 14 = -3*l, -4*y + 2*l = -i*l - 12. Solve -g = -2*m + 3*m - 6, -y*m = 3*g - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*t - 7*t + 38*t)*(-5 + 6 + 1)*(-t**4 + 2*t**3 - 2*t**3).\nAnswer: -32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s + 2*s**2 - 8*s + 0*s**3 + 0*s**4 - s**3 - s**4 to w*s + a*s**4 + b*s**3 + j*s**2 + p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 51056?\nAnswer: 1582736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {g: 16, j: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, x: 5, n: 5, u: 1, q: 1}. Give prob of sequence nm.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892 != 2087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 + i. Suppose 3*v - 3*h - 6 = 0, 7 + 5 = 2*v - 4*h. Let c be (v - 2)*6\/(-8). What is the tens digit of m(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(1 + 26\/6). Does 3 divide (w\/(-6))\/(24\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 7) + (-34 - -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/((-2384)\/1788)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/5 (b) -1\/10 (c) 12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -59\/806, 4 in descending order.\nAnswer: 4, 0.06, -59\/806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 144 = 9*a. Let s = a + -13. Suppose -5*g - s*r = -9*r - 754, -3*r + 447 = 3*g. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(220)*2)\/((sqrt(10)*1)\/sqrt(2)))\/(((sqrt(264)*-1)\/sqrt(11) - sqrt(24))\/(sqrt(96) + sqrt(6))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**5\/5 - 52*y**4\/5 + 408*y**3\/5 - 176*y**2 + 608*y\/5 = 0.\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*2)\/sqrt(2) + -3.\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13911024 - 0.13911. Round i to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15860129 - 0.12?\nAnswer: -15860129.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60986377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -182 and -0.0771.\nAnswer: 14.0322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/(-2)*(-82)\/((-22140)\/135)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 2. Suppose 331 = -101*h - 73. Let l(m) = -2*m - m + 0*m - 1 + 2*m. What is h*v(n) - 9*l(n)?\nAnswer: 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*n = -242*n + 115*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by -526986?\nAnswer: 95\/526986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -22\/15*y**5 + 47*y**2 + 0 + 22\/3*y**3 + 22\/105*y**7 + 0*y + 1\/168*y**8 - 1\/30*y**6 + 1\/12*y**4. Find t such that o(t) = 0.\nAnswer: -22, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5681 - 5681 - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 670432*w**2 + w + 3. Let h be r(3). Let s = -15133894 + h. Round s to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685463713.\nAnswer: 11, 4079, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2\/5 - 241092*a\/5 + 309982497\/5 = 0.\nAnswer: 1307, 79057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642*r**2 - 2783*r**2 - 793*r**2 + 3.\nAnswer: -4218*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 2.6. Let u be -18 - (-4 + 0) - -11. Which is the closest to -0.3? (a) -2 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54435.\nAnswer: 3, 5, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**3 - 5*h**2 + 9*h - 25. Let m be p(4). Find the third derivative of -139*y**3 - 139*y**3 + m*y**5 - 119*y**2 + 278*y**3 wrt y.\nAnswer: 11220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-3)\/6 + -3). Let l = -2 - g. Let r(z) = -z + 12. What is the units digit of r(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:02 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + 0.3. Let v = 329\/33 + -106\/11. Put -0.3, v, j in decreasing order.\nAnswer: j, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3985.409 weeks in days?\nAnswer: 27897.863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1021 divide 4174591288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10013, 9986, 9951, 9908, 9857?\n\"Answer: -4*d**2 - 15*d + 10032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24345 (base 6) in base 8?\nAnswer: 7011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -989*l**2 + 989*l**2 + 796*l + 50*l**5 + 7 - 7 wrt l.\nAnswer: 1000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y + 568 = -55*y + 1690. Calculate the remainder when (-228)\/(-14) + 2\/(-7) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6*u - 62 = -4*s - 2*u, 2*s - 4*u - 204 = 10*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 10:23 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-11)*n)\/n)\/(n*n**(-11)*n))\/((n**(-1\/11)*n)\/(((n\/(n*n**(1\/5)))\/n)\/n)) assuming n is positive.\nAnswer: n**(-171\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 = -3*s, -4*o = -0*o + 5*s - 12. Suppose -20*z + 25*z - o*l = 29045009, l = -4*z + 23235997. What is z rounded to the nearest 100000?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-4)\/(-4)))\/(1\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-173)\/(-12) + (-6)\/(-24). Let o = 15 - l. Is -1\/2 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(3645))\/sqrt(9) + -2*4*(sqrt(405) + 1))**2 + -3.\nAnswer: 1584*sqrt(5) + 49066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4028650 and 195227.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576812 is divided by 192270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3710 + 4432 = -138*n. Sort -4, -5, n, 2 in decreasing order.\nAnswer: 2, -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 29. Let j(r) = -2*r - 6. Let l be j(-17). Let w = l - 13. Calculate the highest common divisor of w and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2696\/173625?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -319 + 322. Solve -6 = -3*d - 3*m, 15 = s*d - 3*m + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.3 + 2.6. Let s = w + 1.7. What is the biggest value in -3, s, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -59. What is the smallest common multiple of r and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19*r**2 - r - 4. What is the tens digit of m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 957 and 1617.\nAnswer: 46893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 911429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10351 + 29187 = 0. Is w\/(-5) - 28\/35 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9dc4 (base 15) to base 14\nAnswer: c2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1765848 by -483.\nAnswer: -3656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 7*k**2 + 2*k + 9. Let d(o) = -7*o**3 - o + 1. Let l be d(1). Let j be y(l). Let v = -0.1 - -0.6. Put v, j, -0.5 in ascending order.\nAnswer: j, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 64\/(-12)*(-9)\/12. Suppose 0 = 2*u - 7*u + 585. Suppose r*g - u = g. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 2*j**2 - 5*j - 4. Let p be c(-3). Calculate the greatest common factor of 180 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*((w*w**(2\/5)*w)\/w)\/w)\/(w**3\/(w**(3\/8)\/w*w)) assuming w is positive.\nAnswer: w**(111\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 + -117.47. Let p = -0.5300042 + b. Round p to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 4 + 12 - 8.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 + -5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**2 + 1164*v - 1160 = 0?\nAnswer: 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, 1\/3, -0.4 in increasing order.\nAnswer: -0.4, 1\/3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 799346.9 litres?\nAnswer: 799346900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 52*w**2 - 97*w - 78. Calculate n(-50).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(832)*-1 + -3 - sqrt(832)).\nAnswer: -16*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113433 + 1117*k + 113433 to c + d*k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*b**3 + 48752*b**2 - 48752*b**2.\nAnswer: 461*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*-1 - 85\/(-5). Suppose 15 + k = -14*g. What is the units digit of 40 + g\/3 + (-4)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064 (base 8) in base 13?\nAnswer: 64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/((-15)\/20). Suppose -12 = 4*t, -36 = -3*v + 8*t - 4*t. Solve -q*s + v = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/9, 4\/7, -1, 4\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -142?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -1. Let y = 0.1 - q. Let c = 1.15 + -1.55. Sort c, y, 3\/5 in ascending order.\nAnswer: c, y, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203*a**3*n*y**3 - 16*a**3*r*y**2 - 2*a**2*n*r*y**2 - 46*a**2*n*r*y - 3*a**2*n*y**3 + 7*a**2 + 2*a*y**3 wrt a?\nAnswer: 1218*n*y**3 - 96*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79.059 - -0.059. Let w = 77.8 + o. Sort 4, -0.2, 1, w in increasing order.\nAnswer: w, -0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 44053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -2*s - 3*b + 125, 4*s + 5*b - 530 = 0. Suppose -5*y - 4*c + 559 = 0, -y - c - 18 = -s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1 - -4) - 1*24. Let q be 6\/(-9) - ((-35)\/u - 3). Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + ((sqrt(539)*2)**2 + -5 - ((sqrt(539) - (sqrt(539) - -2*sqrt(539)))**2 + 2 + sqrt(539))))*-6 + 2)*2.\nAnswer: 122 + 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o + 7*o - 6*o)*(-2*o**4 + 4 - 4) - o**2 + o**4 + o**2 - o**5.\nAnswer: 33*o**5 + o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p - 1. Let y be b(-1). Suppose 0*o + 2*a = 5*o - 1695, y*o - 672 = 2*a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -23. Solve 4*l = 4*p, 5 = -4*l + y*p + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**5\/20 + 3*k**4\/2 + 10*k**3\/3 + 10*k**2 + 54*k. Is z(19) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w + 2. Let n be -2*((-3)\/(-1))\/3. Let j be i(n). Calculate the highest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 1. Let y(n) = -185*n**2 + 57*n + 1. Let r(b) = -29*b**2 + 9*b. Let p(f) = 13*r(f) - 2*y(f). Suppose 4 = 3*x - x. What is x*i(j) - p(j)?\nAnswer: 7*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 580)*8 - (100 + -105) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010171956 to 4 dps.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*c = -10, 20 = -2*c + 6*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -10021100000?\nAnswer: 10021100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 4*s. Suppose 2*g + 11 = -3*u + 7*g, -5*g + 8 = -4*u. What is b(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11182 - 11189. Let h(s) = s**3 + 8*s**2 + 8*s - 5. Determine h(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 + 3623*z**3 - 321*z**2 + z + 1750354 wrt z?\nAnswer: 24*z**2 + 21738*z - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 9) in base 12?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 51 = 3*k - 22*m, 4 = -k - 3*m. Let g(b) = -b**3 - 14*b**2 - 13*b + 9. What is g(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 21 = -27*v. Let g(k) be the first derivative of -2\/3*k + k**2 - 1\/30*k**5 + 1\/4*k**4 + 5 - 13\/18*k**v. Suppose g(s) = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11949.9 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -23*h**3 + 9*h + 19. Is v(-2) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 12 = 0, -3*j - n + 4*n = -42. What is the remainder when (-5)\/(-10)*36*41\/2 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 3. Let i be m(-6). Is (1*-213)\/(i\/22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*16.63\nAnswer: 21.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*m**3 - 6250*m**2 - 150720*m - 23040 = 0. Calculate m.\nAnswer: -48, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w - 13*w - 36*w + 134*w - 26*w.\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -3*n**2\/2 + 52*n + 5724. Calculate v(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**3\/6 + 2*i + 305. Let a(h) = 13*h**2 + 81. What is l(a(d))?\nAnswer: 13*d**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*h + 78, -5*v + v - 117 = -3*h. What is the remainder when 6\/21 - (4352\/(-56) - -7) is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, f: 1, w: 1, l: 4, s: 9, a: 1}. What is prob of picking 1 p and 3 l?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -73. Suppose 3*a - g = 8*a. Suppose 0 = 2*q + 1 + 3. Sort q, a, 1 in ascending order.\nAnswer: a, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 15 (b) 5 (c) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)\/(sqrt(10) - (sqrt(10) + sqrt(360) + sqrt(360)*-5)))\/((sqrt(1584) - sqrt(1584)*1 - sqrt(1584))*5) + 0)*4.\nAnswer: -sqrt(5)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 + 2. Let k be u(2). Suppose -18*i + 22*i - 648 = 0. What is the greatest common divisor of k and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) -8 (c) -3487 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f**(-1\/3))**21 assuming f is positive.\nAnswer: f**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y)**(2\/11)*y**6\/y**(-1\/9) assuming y is positive.\nAnswer: y**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x)**(1\/2) assuming x is positive.\nAnswer: x**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -409, -1924, -4439, -7948, -12445, -17924, -24379, -31804?\n\"Answer: d**3 - 506*d**2 - 4*d + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 10*i**2 + 0*i**3 - 3\/8*i**4 - 1\/40*i**6 + 0*i + 0 + 1\/5*i**5. Solve x(k) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 + 68 + 183)*(-2*z + 0*z**2 + 1 - z**2 + 0*z).\nAnswer: -340*z**2 - 680*z + 340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(2*1\/(-4)). Let s be 2\/6 - v\/(-6). Is s at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196760*h = -196913*h + 7191 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33807.29ug in grams?\nAnswer: 0.03380729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221101022000 + 2?\nAnswer: 2221101022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.7 - 6.7. Let w = h - 28.99987. Round w to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 - 42 = -13*u. Let g(y) = -2*y - 17. Determine g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -29. Suppose -10*b + 2296 = -q*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + 68. What is the common denominator of ((-1)\/(-6))\/((-5)\/i) and 64\/111?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2 + 0 + sqrt(13))*-4 + -2*sqrt(1872)*-1*-2)*-2)**2 + -2.\nAnswer: 3328*sqrt(13) + 140862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 359970, 360013, 360056?\n\"Answer: 43*d + 359927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32640*j**3 + 17054*j**2?\nAnswer: 195840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/2)\/(-4))\/(-5*(-56)\/80)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1029 divided by 147\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 87 (b) 2\/7 (c) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 256*m + 9. Let l be c(13). Let u = l + -36741\/11. Calculate the common denominator of u and -67\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*b + 179*b - 194*b.\nAnswer: -162*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 203*h + 7356. Give b(-68).\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4820 divided by 964.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g*o + 647354885*g + 108428800*o**2 wrt o?\nAnswer: -4*g + 216857600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21817, 88047, 198427, 352957?\nAnswer: 551637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - 134. Let g(r) = 19*r**2 + r + 9. Let l(x) = -56*x**2 - 2*x - 27. Let v(o) = n*l(o) - 8*g(o). What is the second derivative of v(w) wrt w?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 times 0.13?\nAnswer: -35.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 42. Calculate the common denominator of 27\/8 and ((-11)\/((-165)\/(-42)))\/(w\/90).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(1\/(1\/(-1))). Let j = u + 34. Suppose 0 = -3*n + 8*n - 85. What is the highest common divisor of j and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 134 + -16af?\nAnswer: -157b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(sqrt(160) - (sqrt(160) - (sqrt(160) + -2*sqrt(160) - sqrt(160)))))\/(sqrt(8) + sqrt(72)*5 - (sqrt(288) + sqrt(288)*-2)) + -5.\nAnswer: -5 + 12*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: d0675 (base 14) to base 4\nAnswer: 1322033033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -13 + (-4556)\/(-67)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**2\/2 + a + 3. Let c(v) = 1. Suppose -4*f + 8 = 4*t, 5*f - 2*t + 3 = -8. What is f*g(y) + c(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.831492 rounded to 1 dp?\nAnswer: -110.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 8677734.\nAnswer: -1128105.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1386*k**3*u**3 - 823960253*k**3*u - 105*k**2*u**2 - 56*u**3 wrt u?\nAnswer: 8316*k**3*u - 210*k**2 - 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 53*g**2 + 5*g + 15. Let i be s(-6). Suppose 0*d - i = -3*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -979, -934, -857, -742, -583, -374, -109?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 hundred thousands digit of 16980197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -1, 14 in decreasing order.\nAnswer: 14, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 20*m + 31. Let y(r) = 21*r + 31. Let o(k) = -6*s(k) + 5*y(k). What are the prime factors of o(-9)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*2 - sqrt(18))\/((sqrt(144)\/sqrt(4))\/sqrt(6)).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*sqrt(847) - sqrt(847))*5 + (sqrt(56)\/(sqrt(16)\/sqrt(2) + sqrt(8)) - sqrt(7)) + (sqrt(140) + sqrt(35))\/sqrt(5) + 3.\nAnswer: 4 + 445*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -16. Let t(f) = 13030*f**y + 0 + 8 + 0 - 13033*f**2. Let o(m) be the second derivative of m**3\/6 + 5*m. Determine t(o(u)).\nAnswer: -3*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 675 - 765. Are q and -92 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 20*b**2 - 21*b + 2. Let d be r(19). Let x = d + 35. Let z be x\/(21\/(-9) - -2). Solve -z*h - 8 = 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 540 + -540. Which is the third smallest value? (a) y (b) 1\/16 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101641783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(1053) + -1 - ((sqrt(65) + sqrt(65)*-4 - sqrt(65))\/sqrt(5) + sqrt(130)\/(sqrt(80)\/sqrt(8)) + sqrt(13)).\nAnswer: -2 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r - 4*r)*(-2*r - 172*r**3 - 131*r**3 + 0*r).\nAnswer: 909*r**4 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34201828, -68403641, -102605454, -136807267, -171009080?\n\"Answer: -34201813*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3 + 7. Let m be 20\/14 + 297\/(-693). Let w = -2 + 4. Sort j, m, w in ascending order.\nAnswer: j, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f*f*f\/(f*f**(-5))*f*f)\/f)\/f)\/f)\/f)**(-3) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 318491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12711*g = 3817*g + 1058386 for g.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -14. Let h be 41\/4 - 67\/268. Sort a, -2, h, -1 in decreasing order.\nAnswer: h, a, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 - 3 = 0. Let n be (2445 - 2430) + (-240)\/14 + 1. Which is the biggest value? (a) n (b) s (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:52 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.83402l in millilitres?\nAnswer: 65834.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4 - 2*b**3 + 0*b - 10*b + 21*b**2 - 54 - 3*b**3 - 4*b**3 + 55*b = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -27*d + 553. What is b(19)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*n + 252*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5 + 3*x - x**3 + 6*x + x**2 + 4*x**2 + 0*x**2. Let k be i(6). Suppose 4*c + k = -4*n + 1, -3*c + 15 = -3*n. Put 0, c, 4, -2 in increasing order.\nAnswer: -2, 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n - 4885662 = -35692570. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 n, and 2 j when four letters picked without replacement from jjiexnw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(539) - (-3 + 1 + sqrt(539))) + -3)**2 + -3 + (-1 + sqrt(11))**2*-4 + (sqrt(11) - ((sqrt(11)*2)**2 + sqrt(11))) + -5)*4.\nAnswer: -396 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15.0588kg?\nAnswer: 15058800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 241057821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 8 = 52. Suppose -15*u = -56 - x. Solve 2*i + 4*n = -16, -7*i - u*n - 22 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 1 - 3 + (5 - 1 - 3)*(-4 + 2 + 0) + 3 - 2 + 2)*(2 - 2 + 2*v**2) to the form d*v + f*v**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 23*j**3 - 21*j**2 + 144*j - 9. Is 13 a factor of g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170872 and 50336?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2636*s**2 + 5*s + 2715*s**2 - 5362*s**2.\nAnswer: -11*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 9, p: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*j - 109, -18110*j + 36222*j = 18108*j + 2*s + 114 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3096, -5, -20.\nAnswer: -20, -5, -4, 3096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 1 (c) 114.567 (d) -2\/11 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 + -4)) + (3 - (-2 + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113438 and 78572.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nii when three letters picked without replacement from innnnnninnnn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = t + 3*z, 5*z - 380 = -5*t + 8*z. Let d = -81 + t. Let w = 2.2 - 2. What is the closest to -0.2 in d, w, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h - 44. Let i(q) = -18*q + 88. Let r(w) = -7*d(w) - 3*i(w). What is the hundreds digit of r(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251 - 241. Solve -j = -u + 5*m, 0 = -3*u + 5*m - 10*m - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - (-1116)\/81. Suppose -5*k + 11 + l = 0. Suppose -5*x - 4*c = -515, -c + k*c + 475 = 5*x. What is the greatest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n**4 + 742441*n + 469692?\nAnswer: -12*n**3 + 742441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4398\/26 - (-4)\/(-26). Suppose 170 = f + u. Let k(y) = -y + 1. Let t be k(-5). Solve t*j = 5*j - f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10832003.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - v - 4*v)*(-1 + 2*v - 3 + 1).\nAnswer: -2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25 - (-27 - (-6 - -5)). Solve -d*y = 97 + 209 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56858 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1387241 and -318252584?\nAnswer: 318252583.8612759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-11) + 46\/(-11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9633428*w**4 + 81781*w**2 + 163 wrt w?\nAnswer: -231202272*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*-32*(-4248)\/5760.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 + 35*k - 35*k.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29733 and 8503?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**4\/3 - 128*o**3 - 428*o**2 + 9616*o\/3 - 3696 = 0.\nAnswer: -7, 2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 4*s - 4. Let f = -17373 - -17371. Let h(l) = 6*l**2 + 9*l - 8. What is f*h(b) + 5*g(b)?\nAnswer: 3*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -33355005.\nAnswer: 10006501.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 144.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -421.6, 3\/194, -16.\nAnswer: -421.6, -16, 3\/194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*1)\/(sqrt(35)\/sqrt(63)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-15)*(-4 + -1). Let q(x) = 5*x + 5. Let m(b) = b - 1. Let o(j) = u*m(j) + q(j). Is o(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.296 plus -307878893.4?\nAnswer: -307878893.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88, -171, -248, -319, -384?\n\"Answer: 3*r**2 - 92*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, 0.08, -5 in ascending order.\nAnswer: -5, -4, -0.4, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 23*v**6\/40 - 19*v**3\/6 - 91*v**2\/2 + 2*v + 1. Let m(b) be the first derivative of t(b). Differentiate m(q) wrt q.\nAnswer: 207*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 - 354448*w**2 - 1417744*w - 1417728 = 0. Calculate w.\nAnswer: -88608, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -6*-1*sqrt(228))\/(sqrt(12) + sqrt(1200)*2).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((700\/24)\/(-25))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67933116, 271732462, 611398040, 1086929850, 1698327892, 2445592166?\n\"Answer: 67933116*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810082 - 3982592 = -36*c + 1414770. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101840431.\nAnswer: 7, 11, 29, 59, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22\/21 - 5\/7. Let x(d) be the second derivative of 0*d**2 + 0 + 0*d**4 + d - 1\/20*d**5 - z*d**3. Find the second derivative of x(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2038 is divided by 102.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71018076 to the power of 1\/2, to the nearest integer?\nAnswer: 8427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/4, 1, 0, -2, 293195, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + -2 + (2 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150256, -150259, -150264, -150271?\nAnswer: -150280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -42. Suppose r = 13*h - 10*h - 279. Let y = h - 90. Calculate the lowest common multiple of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2990 and 8831264.\nAnswer: 44156320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 42. Let q = 118930065 + -118930015.999937. Let a = x - q. What is a rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224028346 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4611 in 2\/313, 3, 5, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*o + 21 = x, 0 = -5*x - 3*o + 35. Suppose 0 = c - 2. What is the tens digit of (x - 6)\/(c\/(-27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbjjjpbkoab. What is prob of picking 1 j and 1 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 2, i: 1, y: 6}. What is prob of sequence tti?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -293 * -27\nAnswer: 7911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/1103 - -66923\/33090. What is the common denominator of -43\/36 and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 0.5, 2\/3, 7\/12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) - (-25)\/4. Suppose 5*q = 3*i + 260, -3*i + p*i + 208 = 4*q. Is 26 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75210147*u**5 + 150390252*u**4 + 75150066*u**3 - 30036*u**2 + 3*u.\nAnswer: 3*u*(u + 1)**2*(5007*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 145 = -5*k - 2*m, 3*m + 44 = k. Let x be ((-12)\/(-2) - 1) + -2. Suppose x*h - k = h. What is the remainder when 85 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -8, 12, 5, 3 in descending order.\nAnswer: 12, 5, 3, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39989226811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 0, 5, 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1664, -1798, -1930, -2060, -2188, -2314, -2438?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2. Let k be 8\/(-36) - 29\/(-9). List the prime factors of f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -108819, 2\/7, 1\/2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2314 is divided by 409.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/25 of a litre in millilitres?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (7 - 10) - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 17.616. Let b = -0.106 + x. Let k = -0.1 - b. Round k to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*z - z + 4682 = 0, 3*t + z + 2810 = 0. Calculate the remainder when -2 + 7\/2 + t\/(-16) is divided by ((-222)\/(-333))\/(-2*2\/(-186)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 7*n**2 + 10*n + 2. Let p be m(-5). Suppose t + 21 = 5*t - 3*i, 0 = p*i - 2. Is (-1145 - t)*(-2)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(sqrt(2057) - (sqrt(2057) - sqrt(2057)*1*-1)))**2*3.\nAnswer: -98736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34064, -33960, -33770, -33494, -33132, -32684?\nAnswer: -32150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9352998.45 rounded to the nearest one thousand?\nAnswer: 9353000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -8, 11\/141, 3 in descending order.\nAnswer: 4, 3, 0.4, 11\/141, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 88204 = -4*p, 3*p + 22992 = c + 5355. What is the highest common divisor of 540 and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*r - 19*r - 22*r - 21*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 304234 (base 5) in base 11?\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94332 = 4*m - r, m - r - 23373 - 207 = 0. Suppose -9*c - 5773 = -m. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*x**5 + 5*x**4 - 291876*x**3 - 45437368*x**2 wrt x.\nAnswer: -540*x**2 + 120*x - 1751256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4309823 to four dps.\nAnswer: 0.431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0 + 6*s - 4 + 4*s. Suppose -13*f - 330 = -24*f. Calculate the remainder when j(6) is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((1987 - 1991) + 13 + (0 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 18. What is d(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = f - 5, -4*f - 14 = 3*v. Let u(i) = -32*i**2 + 3*i + 2. Let d be u(f). Let m be 200\/d + (-4)\/(-22). Sort 0.2, m, 3\/4 in increasing order.\nAnswer: m, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:42 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415622 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/5 - (-74)\/10. Calculate the highest common factor of 104 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**2 + 6971*g**3 - 10424*g**3 - 35*g**2 - 45 wrt g?\nAnswer: -20718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 26*x + 1672. Let z be s(-65). What is the second biggest value in z, 5, -1\/5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = -4*d. Suppose -380 = -r - d*r. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010012110110 (base 3) to base 6\nAnswer: 20424103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184\/5 or 38?\nAnswer: 184\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 2*y + 2. Let i be z(3). Suppose -i*q = -q - 52. Let o(t) = -t + 19. What is the remainder when 15 is divided by o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3932 + -3926. Let x be 32\/(-12) - 1\/3. Suppose -1 = -d + 3. Sort a, d, x in decreasing order.\nAnswer: a, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 767, 797, 885, 1061, 1355?\n\"Answer: 5*p**3 - p**2 - 2*p + 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.666 - -7.66655019. Round o to 6 dps.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-100)\/36)\/(1\/(-9)). Solve 0 = -m*t - 26*t + 102 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.7 + 0.1. Let x = -14.32 + 8.82. Let t = x + p. What is t rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 + 568\/355?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157 and 7?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = 30. Let b(d) = -7 + 1 + 3 - 2*d. What is the remainder when b(-16) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 + f**3 - 5*f**3)*(-122*f - f**2 + 0*f**2 + 123*f).\nAnswer: -2*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = 5*y - 4, 3*y - 12 = 3*q. Let r(l) = l**2 + 4*l - 3. Let h(s) = -s**2 - 5*s + 4. Let d(w) = 3*h(w) + 4*r(w). Determine d(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + s)*(-35 - 11 - 60)*(-1 + 4 + 4).\nAnswer: -1484*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 40.1917 decades?\nAnswer: 0.401917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 + 137*s - 13. Let y be i(-23). What is the remainder when 215 is divided by (-19)\/190 + 311\/y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 53 + 165. Suppose 0 = -203*b + 686 + 1547. What is the smallest common multiple of b and k?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14942365.68 to the nearest one hundred.\nAnswer: -14942400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -6. Suppose -9 = -2*c - n, -29 = -0*c - 2*c - i*n. Suppose 0 = 4*a - 14 - c. Solve -1 = -4*r - 3*f, -a*f = -r - f + 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -939 in -0.1, 2\/9, -5.35?\nAnswer: -5.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - -1) + 0 + (-16740 - -16747).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 841*w + 22. Let j(h) = 168*h + 4. Calculate 2*c(o) - 11*j(o).\nAnswer: -166*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -85*t**2. Let d(g) = -16326*g. Give d(l(s)).\nAnswer: 1387710*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -32003321?\nAnswer: 32003260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.8 * 1.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = j - 5*j + r, 3*r + 151 = 5*j. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*((-64)\/(-104))\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 1)*(1 + 2 - 9)*(-w + w + 2*w) + (3*w + 4 - 4)*(2 + 0 - 5) + (2 - 4 + 0)*(w + 0*w + w) + w + w - 3*w - w + 0 + 0.\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/4 + 198\/36. Solve -4*i - x*v = 8, -7*i + 11*i - v = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -736582 and -736581 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8cbd9 + -4?\nAnswer: -8cbdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 7*u**2 + 545*u - 36. Give n(27).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 4. Let a be 2 + -1 + 3 + f. Suppose -3*p = -2*b - 193, 0*p - p + 2*b + 71 = a. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64, 52, 28, -14, -80, -176, -308?\n\"Answer: -g**3 - 5*g + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 58. Calculate the remainder when 37\/3*-3*(-1 + h) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/s**(1\/4)*s))\/s))**(11\/3)\/((s*s**7*s)\/(s*s**(2\/5)\/s)) assuming s is positive.\nAnswer: s**(89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (34 + 0)*(-2)\/4. Let x = r + 17. Let d = -6 - -9. Which is the third biggest value? (a) x (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 16. Let w be c(-4). Let d be (3\/(-4))\/(2\/(-8)). Let v be 7\/((1\/(-1))\/(-1)). Solve -d*b - 7 = 4*s, w*s - 2*b + v*b + 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, 0.3, -24, 170, -0.1, 0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 70?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(1\/((-6)\/(-4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21270794 or -21270795?\nAnswer: -21270794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 6676, -3, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -475265?\nAnswer: 1\/475265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 24) + (11 - 14) - -8) + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00404789 rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**(-1\/6)\/(((u**(2\/3)*u)\/u*u)\/(u\/(u**16\/u))) assuming u is positive.\nAnswer: u**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3))**(-1\/6)\/(b\/(b*b**(-2)\/b*b))**(-12))**(-3\/31) assuming b is positive.\nAnswer: b**(-147\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = -3*z + 2*m, 0 = -3*z + 5*m + 30. Let f = 1.6 + -6.6. Sort 2, f, z in increasing order.\nAnswer: f, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072647521 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y\/(y\/y**(5\/3)))*y**(-7)*y\/y**(-1)*y*y**(-7)*(y*y*y\/y**(-4\/3)*y*y**(-10))**48 assuming y is positive.\nAnswer: y**(-704\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:35 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2. Let b(f) = 21*f**2. Let a be (24\/(-12))\/((10\/(-5))\/(-4)). Calculate a*q(w) + b(w).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1022685 by 5.\nAnswer: 204537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(833) - (sqrt(833) + 1))**2 + 5)*5 - (-2 + (((-1*sqrt(833) - sqrt(833)) + 3)*-5)**2))*-3.\nAnswer: -6300*sqrt(17) + 250434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32.3? (a) 5 (b) -4 (c) 2\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from satwlwal. Give prob of picking 1 l and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((-568)\/56 - -7))\/((-164)\/3444).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10067 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 7*o + 5*o**2 + 0 + 0*o**2 - 8. Determine c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 553093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 561?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*k**2 - 5*k + 57*k**2 + 25*k - 81*k**2 - 14*k - 4*k.\nAnswer: -157*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3280962 and 9842886?\nAnswer: 9842886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 9. Let w(o) = -13*o**2. Calculate z(w(c)).\nAnswer: -13*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4, 0.2, -0.194, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7 = -w + 18, 2*w - 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4*n - 2*n + n)*(-39*n - 856 + 856) to the form a + q*n**2 + w*n and give w.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10777 + -10774. Let f(y) = -y**2 - 15*y + 59. Give f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59434.22 to the nearest 100.\nAnswer: 59400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4500, -9000, -13500, -18000, -22500, -27000?\nAnswer: -31500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*o + 102*o + 18 = 5*c, -5*c + 3 = -3*c + 5*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491853373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2511 or -2746?\nAnswer: -2511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 + -92. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*690 + -7 - 3?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 3. Let u(c) = -c**3 + 33*c**2 + 37*c - 101. Let j be u(34). Let k(r) = 4*r - 3*r + 0*r. Calculate j*k(n) + a(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -5*z**4\/4 - 4*z**3\/3 + 2*z - 14. Let v(b) = -b**3 - b**2 + 1. Give -q(h) + 3*v(h).\nAnswer: 2*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-21)\/(-14))\/((-3)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 86014 + 2*n + 2*n**3 + 86014.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170660699?\nAnswer: 11, 83, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**8\/336 - 5*v**4\/12 - 4*v**2. What is the second derivative of x(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b71 (base 14) in base 2?\nAnswer: 100011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/14 in -0.9, -3, 722?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2731 - -2734. Solve -2*f + 7*f = i*p - 35, -p = -5*f - 25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25126775 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 1. Let g(l) = -37*l + 3. Determine -g(m) + 4*z(m).\nAnswer: 45*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-48)\/(-22) - (-123)\/(-3157). Which is the closest to -1? (a) 4\/7 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124\/217 - 8\/14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4089894 and 481164.\nAnswer: 8179788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/12*423\/(-1833))\/(2\/(-41))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -248, -6, 0, 1, 1505, 2\/7?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 5*s + 4*s**4 + (0*s + 0*s - s)*(s - 2*s + 0*s)*(34 - 5*s**2 - 34).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10069, 16131, 22191, 28249, 34305, 40359, 46411?\nAnswer: 52461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0, -1537890?\nAnswer: -1537890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*w**2*x**3 - m*w*x - 6*m*x + 52*m + w**2 + 14204*x**3 + 3*x wrt x?\nAnswer: 6*m*w**2*x + 85224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*16\/120*-5. What is the closest to 1\/2 in q, -6, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6384.14mg to micrograms.\nAnswer: 6384140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21233, 42455, 63675, 84893, 106109, 127323, 148535?\nAnswer: 169745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-2700))\/((-4)\/160)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21818389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306\/19 + -937\/57. Put -0.08, t, 4, -5 in ascending order.\nAnswer: -5, t, -0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = -6. Let s(r) = -26*r + 44. Let m(g) = -9*g + 15. Let j(h) = 14*m(h) - 5*s(h). Let o(i) = i - 3. What is t*j(n) + 7*o(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -281, -515, -705, -845, -929, -951, -905?\n\"Answer: x**3 + 16*x**2 - 289*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 7*k**2 + 9*k - 6. Let h be l(-8). Let g = 15 + h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + k)*(-37781 + 11253 + 7579).\nAnswer: -37898*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 11, z: 2, g: 1}. Give prob of sequence qz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1479735 by -5.\nAnswer: 295947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*x - 4*j, -100*j = 5*x - 97*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + a - 1. Let z(l) = -436*l**2 - 2*l + 465. Let q(o) = 2*w(o) + z(o). Find the first derivative of q(d) wrt d.\nAnswer: -876*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63 + 1ab?\nAnswer: 21e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t + 35*t**3 - t + t + 17*t**3 wrt t.\nAnswer: 312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/72282 and -23\/1512.\nAnswer: 2602152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**(-38)\/(c**(-1\/5)\/(c\/((c\/c**(-4\/7))\/c))) assuming c is positive.\nAnswer: c**(4012\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6816*-1.34.\nAnswer: -2.253344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6204 is divided by 2771?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -664 + 205. Let w = x + 441. Which is the third smallest value? (a) -4 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -1 + 31. Put k, -4\/3, -2 in decreasing order.\nAnswer: k, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 55 = -2*b - 3*b, 0 = 5*p + 5*b - 225. Let z = 30 + p. Suppose 60 = 5*r - z. Calculate the remainder when r is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.2 times -0.4?\nAnswer: -15.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*y - 6, -p - 8 = -3*y - 3. Sort p, 2, -3 in increasing order.\nAnswer: -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 19*b + 63. Let g(d) = 19*d + 78. Let w(z) = 5*g(z) - 6*i(z). What is w(3)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:56 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Let x be -1 + -1 + 1 + n. What is the second derivative of -3*f**5 + x*f + 2*f**5 - 2*f**5 - 3*f wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -5. Let j(z) = z**3 + 6*z**2 - 7*z - 2. Give j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 104 - 18 = 0. Let k = 36 + y. Suppose 5*u = -4*p + k - 15, 2*u = 3*p - 136. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 - 227 = 44*v + 387 - 408 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540995?\nAnswer: 5, 7, 13, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 10:09 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-21))**(5\/8))**(1\/5) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 774633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (7 - (-3 - (-4 - 3))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 227 - 1?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(4 - 3 + 3)*(-2369 + 11*l + 2369).\nAnswer: -88*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 7*n**2 + n + 9. Let s = 15 + -22. Let i be k(s). Differentiate -i*z - 2*z - 9 + 0*z - 3*z with respect to z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let p(k) = 64*k - 15. Let w(i) = -129*i + 25. Let s(h) = -5*p(h) - 3*w(h). Give y(s(r)).\nAnswer: -67*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = -0. Let l be (15\/35)\/(3\/k). Let -6\/7*c - 6\/7*c**4 + 4\/7*c**3 + 4\/7*c**2 + l + 2\/7*c**5 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -372 >= -373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (38 - (26 - -22)) - (-3 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644799012.\nAnswer: 2, 3, 11, 13, 375757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -34. Solve -7 = 2*x + g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 13*s**2 + 18*s + 38. Let z be n(-10). Let p = z - 13. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4003922 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 24*g - 18. What is y(-24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3 + 5 - 3)*(-2 + 0*s**3 + 2*s**3 - 6*s**3).\nAnswer: 8*s**4 + 4*s**3 + 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.246 plus 0.0634317703?\nAnswer: 0.3094317703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151199 is divided by 151107.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*z**3 - 55*z**3 - 72*z**3 - 79*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 12:57 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1020020313 (base 4) to base 6\nAnswer: -10155543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -11130120?\nAnswer: 11130031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 4 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 36*c**2 - c + 1. What is y(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/3 + 185986*w**4\/3 - 20138976*w**3 + 1632674232*w**2 = 0 for w.\nAnswer: -93317, 0, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 - 0.6. Let k = f - -3.9999965. Round k to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) - (-1*sqrt(66) + sqrt(66) - sqrt(66))*-4)\/((sqrt(192)\/sqrt(4) + sqrt(48))\/sqrt(8)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1)*((-13)\/2)\/(-13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43836, 43843, 43852, 43863, 43876?\nAnswer: 43891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1688680821\/29 + -58223637. Let w = f + -6737. Let n = -825 + 4092\/5. What is the common denominator of w and n?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95655?\nAnswer: 3, 5, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69700 and 3825.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 129. Suppose -4*j - 5*m = 278, -j + m - 5 - r = 0. Let s = j + 191. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 5*o**2 - 5*o - 1. Let b be r(-4). Suppose 4*x + b = -0*s - s, s + 3 = 0. Solve x*m = -2*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15140 + 58118 = 145*q + 1819*q - 19050 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6611 = 8055*t - 1060*t - 195605 - 357384 for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 15*l**2 - 12*l - 11. Let j be a(14). Let b(w) = j*w + 12*w - 30*w. Let p(n) = -6*n. Determine b(p(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 2.47 (c) 3 (d) 23\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 14. Let l be f(8). Let n(d) = -8*d - 2. Give n(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -877829 by 3.\nAnswer: -877829\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.9344 rounded to 1 dp?\nAnswer: 38.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1612.508 - 1465.83. Let h = 144 - l. What is h rounded to 1 dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*k + 3*k - 4, 2*h + 7 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2369 = 33*t - 356. Let d = t - -127. Let x = -7 + 13. What is the greatest common divisor of x and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 23*m + m**4 - 2 + 5998*m**2 + 11*m - 6002*m**2 + 0*m**4 as y*m**3 + z*m**4 + i + k*m + f*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - 17. Let i(w) = -2*w + 2. Let l be i(-9). Let z = l + -18. Calculate the greatest common factor of a and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 2*t - 2. Suppose 4*p - 25 = 3*p - 4*m, 4*m - 15 = p. Let r(h) = -3*h**2 + 5*h + 5. Let v(b) = p*l(b) + 2*r(b). Let y(g) = -14*g. Give v(y(a)).\nAnswer: -196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*1 + sqrt(150) - sqrt(150))\/sqrt(10))\/(sqrt(20)\/(sqrt(4)*-2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 - r**2 + 4*r**2)*(6*r - 2*r - 2*r) - r**2 + r**2 - r**3 + (-2*r + r + 4*r)*(-16*r**2 + 6*r**2 + 6*r**2)*(19 + 7 + 2).\nAnswer: -339*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2803 - 22425\/8. What is the closest to -0.1 in 3\/2, n, -6.8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15546 + -15434. Calculate the greatest common divisor of 9968 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - s = 138, 2*s + 9 + 15 = y. Let j be y\/(-12)*60\/(-21). Is 6 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u + 4*k - 29 = 0, k + 10 = 5*u. Suppose -v = -u*v + 4. Solve -4*j = j + 3*z - 30, 22 = 4*j + v*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -9*i**5\/35 + 15*i**4\/14 - 4*i**3\/7 - 15*i**2\/7 + 3*i + 28. Find p, given that x(p) = 0.\nAnswer: -1, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/436550 and 32\/113503?\nAnswer: 5675150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3120 is divided by 285?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/((d\/((d**8\/d)\/d))\/d))*(d\/(d\/((d**18*d)\/d)*d))\/d)\/(((d\/(d*d**9))\/d)\/(d**16\/d)) assuming d is positive.\nAnswer: d**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*m + 1210 + 280 + 3070. Let q be (-2)\/6 - 91\/(-3). What is the greatest common factor of q and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2664 and 101\/1776.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k**3*x + 4*k**3*z - 13*k**2*x**2*z - 2*k*x**2 with respect to z.\nAnswer: 4*k**3 - 13*k**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -1\/2*u**3 + 3*u**2 + 5*u + 0 - 1\/14*u**7 - u**4 + 1\/5*u**6 + 3\/10*u**5. Let t(s) = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 3*j - 1. Let r be (-5 + 6)\/((-1)\/4). Let v be u(r). Find the second derivative of t**4 + 0*t**4 - v*t - 3*t**4 + t**4 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssessee. What is prob of sequence see?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2591.484 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 i when three letters picked without replacement from ifififkki.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1625)\/(-39) + -37)\/2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2, 3, -152, 56.\nAnswer: -152, -5, -2, 3, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 545406345?\nAnswer: 545406342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -42 + 2 + 3 + -12 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 35859.\nAnswer: -35863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (84\/(-2))\/(-1). Let d = p - 14. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 2*x**2 + 2*x - 1. Suppose -k + 3*k + 126 = 0. Let o = 66 + k. Calculate the remainder when o is divided by m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppjs when four letters picked without replacement from {w: 4, p: 7, j: 1, s: 2, k: 4}.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31555570 by 185621.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + 4 + (1*sqrt(605)*-3 - 2*(0 + sqrt(605))) + -6*(sqrt(605) - (sqrt(605) - (sqrt(605) - (-1*sqrt(605))**2))*-4).\nAnswer: -14524 - 121*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(0 + sqrt(147) + (sqrt(147) + 0 + sqrt(147))*4 + (1 + sqrt(147) + -5)*-1))**2.\nAnswer: 179200*sqrt(3) + 3769600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*-5*57*(-50)\/(-6650).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 7*i**2 - 9*i + 26. Determine t(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 2 = -4*o + 2*v, -v + 3 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 660408688 divided by 304\nAnswer: 2172397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*9\/(-6)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2370845816 or 0?\nAnswer: -1\/2370845816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*g**3 - 3*c*g**2*y**2 - c*g**2 - 2*c*y - 2*c - 133*g**3*y wrt y.\nAnswer: -6*c*g**2*y - 2*c - 133*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-6*(sqrt(77) - (sqrt(77) - 1*sqrt(77))))\/(sqrt(66)\/(sqrt(6)*-1) + sqrt(33)\/sqrt(3)*4))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (-1*(sqrt(10)*1 + sqrt(10)) + sqrt(10))\/(sqrt(15)\/sqrt(48))).\nAnswer: -4*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let w(h) = -9385*h. Calculate w(g(u)).\nAnswer: -9385*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l + 4. Let c(a) = 9*a - 4. Let h(o) = 5*c(o) + 6*f(o). Let p(z) = -z**2. Give h(p(y)).\nAnswer: 9*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3388708738 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b - 8. Let d be s(2). Suppose 0 = -6*j + 4*j + d. Is j < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.37181358\nAnswer: 1.8590679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*765\/(-21318)*2\/(-15)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2619 - 4819. Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-5) - (-21)\/(-35). Let k(q) = q**r - 14 + 14 - 2*q**2. Let a(c) = -c. Calculate a(k(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 430058200 - 6*k**2 - 430058200. Let d(s) be the first derivative of -9*s**2\/2 + 2*s + 1. Determine d(l(j)).\nAnswer: 54*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*l**5 - 1125*l**4 - 32*l**3 - 237797*l + 46.\nAnswer: -820*l**3 - 13500*l**2 - 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.37 - 67236843474.\nAnswer: -67236843454.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 5*r - 2. Let g be z(3). Solve g*d - 9 = 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*z**3 + 16*z - 56 wrt z?\nAnswer: 15*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**3 - 96*x**2 - 26*x - 42. Let b be n(-19). What is the highest common divisor of 26390 and b?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10509 (b) -0.1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130550 (base 6) to base 16.\nAnswer: 2e62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/91 - -146\/819. Suppose -2*g - 2*g = -20. Suppose 0 = -g*y + 3*y - 10. Which is the nearest to 0? (a) q (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 14368277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*j**3 - 701*j**2 + 2882*j**2 - 293*j**3 - 2181*j**2.\nAnswer: -31*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 347747.\nAnswer: 347743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + 6*((sqrt(2736)*-1*5 - 2*(sqrt(2736) + 0)) + -1)) + 3)**2.\nAnswer: -2016*sqrt(19) + 4826308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a factor of 50677221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*b = -275*b + 76*b - 4494 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 122100421?\nAnswer: 122100433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(2 + -3))\/(407\/(-37))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*6\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 15 + 61*q + 13 + 18.\nAnswer: 61*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1653, -8269, -19297, -34737, -54589, -78853, -107529?\nAnswer: -140617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7321 + 7342. Solve 0 = -11*h - n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2305*m**2 + 4617*m**2 - 2316*m**2 + 5*m.\nAnswer: -4*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*d - 163975 + 157720 = 0 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tto when three letters picked without replacement from {t: 9, o: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1042 + 1039. Let v = 0.1 + -0.1. Let h = v + 1. Which is the nearest to h? (a) n (b) -4\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225767876 is divided by 247.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 7*d + 2. What is p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 12*m**2 - 15*m + 7. Let o be y(-11). Let k = o + -41. Let p be (1 - 17\/15)*k. Is p less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 146, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**5 - s**4 - 1. Let u(m) = 901*m**5 + 3361*m**4 + 2656*m**3 - 896*m**2 + 64*m + 1. Let l(x) = -r(x) - u(x). Find p such that l(p) = 0.\nAnswer: -2, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3398317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -17 - (-141 - -145)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-489)\/(-1141)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 35622042\nAnswer: -14248816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3*g**(9\/5)*g)\/((g*g*g**(-2\/11))\/(((g*g**(-1\/8)*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(1697\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:49 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 7*a**2 + 4*a - 3. Let q(u) = -3*u**3 + 20*u**2 - 12*u + 10. Let d(h) = -3*q(h) - 8*x(h). List the prime factors of d(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7 + 4 - 105*h + 127*h - 6. Suppose 0 = -3*u + 4*s + 33, 47 = 2*u + 4*s + 5. What is the remainder when v(3) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 154 - 26 = 0. Suppose -2*h - 2*h = -g. What is the smallest common multiple of h and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -17. Let k = 0 + u. Does 17 divide (16\/k)\/((-2)\/25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 9:26 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1158379000 to the nearest 1000000.\nAnswer: 1158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 7*i**2 - i + 6. What are the prime factors of l(-5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257582?\nAnswer: 2, 13, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -19, 54, -5.\nAnswer: -19, -5, 0, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85633 is divided by 336?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 114085 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/4)\/y**(-5\/3)*(y*y**3\/y)**24 assuming y is positive.\nAnswer: y**(881\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 1, r: 2, s: 1, q: 1, u: 1}. What is prob of picking 1 q, 1 b, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1803)\/15 + 3\/15. Find the common denominator of 35\/11 and w\/(-33) + 2\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 35 = 4*c. Let m(x) = 2*x**2 - 6*x + 8. Let q(j) = 2*j**2 - 5*j + 7. Give c*m(k) + 6*q(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -1 - (33 - (4 + 10))) + 9 + 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by 5.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.16 + -0.8. Round y to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108885.1 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 11480*v - 45840.\nAnswer: -5*(v - 2292)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 419.71911905 - 0.117?\nAnswer: 419.60211905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 6. Which is the second smallest value? (a) x (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(2\/3))*y*y\/(y*y\/y**1)*(y**(2\/7)*y)**(-5\/6) assuming y is positive.\nAnswer: y**(-31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1127*w + 21. Is 6 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let t be (10\/(-6))\/(3\/(-9)). Suppose 0 = t*p - 1 - 9. Let x(o) = -2*o**2 - 3*o**p + 3*o**2. Determine u(x(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*b**4 + 2*b**2 - 3*b**2 - b - 184*b**4 to s*b**3 + w*b**2 + q + p*b**4 + u*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2368 is divided by 1155?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2. Let g(d) = -432*d. Let j(n) = -4*n. Let c(p) = g(p) - 5*j(p). Calculate c(w(y)).\nAnswer: -824*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/(32\/144)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5112 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 520 + 48 + 361 - 247 + 398 + 4*q**2 + 548*q = 0.\nAnswer: -135, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/267 + -791\/1335. What is the nearest to 0 in 1, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - v - 34 = 33 - 83, 2*b + 6*v = 5*b + 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -108 + 87?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0.3192777\nAnswer: 4.3192777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1190978 and 6550379.\nAnswer: 13100758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -32, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -2.5. Let p = q + -0.6. Let f = p - 1. Which is the third smallest value? (a) -0.1 (b) f (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 3*a = -144. Suppose 3*q = 5*l - 191, 5*l + 3*q - 173 - a = 0. Let x = l - 24. Calculate the least common multiple of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**41\/(f**(-1\/3))**(2\/35)*(f*(f*f**(-2\/5)*f*f*f)\/f*f*f\/f**(-4))**(20\/3) assuming f is positive.\nAnswer: f**(6722\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + q**2 + 0 + 3 - 2. Let u be m(-2). Let o = 2 + 1. What is the second smallest value in u, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 5435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -118721568119 take away -0.2?\nAnswer: -118721568118.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - z**2 + 4 - 130*z + 64*z + 68*z in the form g*z**2 + r + d*z**3 + j*z and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-127)\/(-3) + 14\/21. Let h = 153 - v. Let c = h + -49. What is the remainder when c is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 200824512?\nAnswer: 200824512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4392841 or -4392845?\nAnswer: -4392841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t + 2 + (1 + 4 - 4)*(-1 + 1 - t) + 3*t + 3*t + 2*t)*((-t + t - t)*(2 + 0 - 3) - 4*t - 4*t + 6*t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462019.9 millilitres to litres.\nAnswer: 462.0199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - 13*r - 12. Let g(x) = -12*x + 2. Let w be g(0). Solve -w*s + 4 = r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1232 and 358246.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93077891?\nAnswer: 89, 1045819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6 (b) 7 (c) 488\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u = 30*u + 345. Let r = -37 + u. Solve 4*i = -3*w - 28, 2*i + 5*w = -i - r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 18540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*t**4 - 2*t**3 - 222*t**2.\nAnswer: -1896*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-16)*p**1*p**(5\/3)\/p*p*p\/p**11 assuming p is positive.\nAnswer: p**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 923 - 908. Let q(i) = -4 + 14*i**2 - i**3 + 7*i**2 + 0 - n*i**2. What is q(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183936.741 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 148*z - 52173. Give x(-170).\nAnswer: 1887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -836*m**4 + 670*m**3 - m**2 + 24058*m + 8415 wrt m?\nAnswer: -10032*m**2 + 4020*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 36 = 3*i. Suppose 4*v + 1 = 17. Suppose -i = g - v*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/7785 and -1\/32697.\nAnswer: 163485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 4. Let b be n(0). Which is greater: b or -21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/8 - (318078\/(-28) + 201\/469)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*v - 29*v - 99. Let s = 55 + v. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16758.52 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2031433930 to the nearest integer?\nAnswer: 45071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 928102337 or 928102338?\nAnswer: 928102337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -11 - (15 + (-7 - 0))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890962382512 plus 0?\nAnswer: 1890962382512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 1116 = 0. Suppose -5*x = 2*l + d, 0*x + 4*l + 236 = -2*x. Let b be (-30)\/60 - x\/4. Are b and 27 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 9*f = 21. Is -6 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1928 + 1928 + 4*n - 2*n. Let w(i) = i - 1. Let v(h) = -6*h + 4. Let r(c) = v(c) + 4*w(c). Give r(b(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f - 1. Let a(u) = 2*u**2 + u. Let r(q) = -a(q) - w(q). Let y = 2 + -6. What is r(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23*(-1)\/(-1))\/(2\/(-4)). Let o = v + 13. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 275, -81, 0 in decreasing order.\nAnswer: 275, 0, -1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = h - 15. Does 18 divide 495\/7 + 10\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-21))\/((-4)\/28). Suppose 18 - 3 = 5*s. Suppose -s*o - 2*u + 7*u + 41 = 0, 2*u + p = -o. Solve o*j - 2*j = 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 5. Let p be x(-2). Suppose -p*f + 5*y = -6 - 14, -12 = 3*y. Suppose f = 4*m - 4*q - 20, -4*m - q + 10 = -0*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 c when three letters picked without replacement from {f: 4, c: 3, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*v - 64*v = 248 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Suppose c*f = -0*f + 15. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0258242 + -49?\nAnswer: -49.0258242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 462\/49*14\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28195301\/1368 - -185578\/9. Let a = 20\/19 - g. Calculate the common denominator of -123\/10 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 1)*(-i + 0*i + 2*i)*(-3 + 2 + 4) + (245 - 202 + 247)*(4*i - 4*i + 2*i) + (5 + 0 - 4)*(0*i - 3*i + 4*i) in the form f*i + z and give f.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3706739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(1100\/40))\/((-10)\/(-950)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m - 32. Calculate the remainder when 467 is divided by q(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 4. Suppose 0 = -v - 3*v + 16. Determine m(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-21) - 266\/49. Let i be 1\/(-1)*1 + 3 - u. Solve 0 = -2*q - 4*m - i, -3*q - 5*m = -q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1097*u**2 - u + 1097*u**2 - 6*u - u**3.\nAnswer: -u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/8*(7 + -5). Sort 0.2, 2, u in ascending order.\nAnswer: u, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 divided by 11?\nAnswer: 474\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19271 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a + 192?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/10*13\/((-13)\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1050\/19 or -56?\nAnswer: -1050\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16999 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-12)*112\/(-42). Put v, 0, 4 in ascending order.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/20 and 27\/1196?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38057055*h**3*q**2 - 2*h**3*q - 138*h**2*q**2 - h**2*q + 2*h + 2*q**2 + 3*q + 10 wrt h?\nAnswer: -228342330*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2978\/(-63) + -2*2\/14. Let w = j + 1703\/36. What is the third smallest value in -2\/3, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**3 + 7*n**2\/2 - 3*n - 29. Let u be g(-3). What is the closest to 1\/3 in u, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20327.701 to the nearest one hundred.\nAnswer: 20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 8*i**2 - 13*i - 9. What is the remainder when 103 is divided by g(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2.2. Suppose 4*b - 4 = 2*w, -3*w - 5*b - 2 - 4 = 0. Let m be 1\/w - 18\/(-4). What is the closest to 0.2 in 2\/9, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -12473418.\nAnswer: 1\/6236709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/474 - -350\/237. Let v = 8.3 + -8. Let l be (-1)\/2*(3 + -1). Which is the smallest value? (a) x (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -445325525 (base 6) in base 3?\nAnswer: -120020110022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 - 3.74. Let l = z + 0.44. Let g = l - -7. Which is the smallest value? (a) 0 (b) 2\/13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n + 49*n - 155 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 7:42 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 7. Let a = 1 + 0. Let b(s) = -1. Suppose 10 = 2*l + 6. Let u(w) = -3. Let m(c) = l*b(c) - u(c). What is a*q(r) - 5*m(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2459177?\nAnswer: 7, 351311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -0.10573.\nAnswer: -3.10573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(128\/(-24))*-52. What is the greatest common divisor of 52 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551124283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-12) - 38\/4. Let x be (-24)\/n - 3\/(-5). Let z be 3*(1 - 1\/3). Solve 0 = -z*b - x*b, -4 = i + 5*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 274 and 6864?\nAnswer: 940368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48227443 to the power of 1\/2, to the nearest integer?\nAnswer: 6945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 36 = -4*t. Solve c = t - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, 4, -0.03, 18631?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/3)\/(45\/(-189))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 13689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -111112*y**3 + 4*y**2 - 5*y + 3. Suppose 0 = -5*v + 15 - 0. Suppose n = v*n - 6. Let s be z(n). What is s rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 - 26179*d\/3.\nAnswer: -d*(d + 52358)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -7 - -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-7 - (-6 - 5)) + 11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykj when three letters picked without replacement from sksjjuy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 41028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -12*r**3 + 2*r**2 + 3*r + 2. Suppose 2 = -f - 0*f. Let a be u(f). Suppose 0 = 3*z - 71 + 11. Calculate the greatest common factor of a and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*b + 113*b + 251*b - 14904 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 5*p**2 - p. What is d(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 1091.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 + 62 - 2*o - 27 + 99 + 0*o.\nAnswer: -2*o + 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100010 (base 3) to base 9\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -211, 16, -51, -1 in descending order.\nAnswer: 16, 0, -1, -3, -51, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0.01, -1\/4, 1.4, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/1234 and -47\/416.\nAnswer: 256672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367065244 is divided by 2837.\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**2 - 3200*j - 434125 = 0.\nAnswer: -115, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -36851968?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c + 32006. Let m be z(0). Suppose 0 = d + 3*w + m + 20009, -5*w = 4*d + 208025. Round d to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/3*p - 2\/3*p**3 + 0 - 16\/3*p**2.\nAnswer: -2*p*(p + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -32 (c) -1\/8 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:45 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1116 - -3165. Let o = c - 1157. Find the common denominator of -5\/4 and (-2)\/5 + o\/80.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 28*m - 45. Let g be z(18). Let t be 1*6523\/g + (-1)\/(-9). Which is bigger: t or 65?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12541883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.49 and -3.7?\nAnswer: 5.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -3.2. Let j = f + -1. Sort j, 5, 2.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2017*j = 1299*j + 1321*j - 113524 - 568115 for j.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8612\/21531 + 2\/107655. What is the nearest to s in 1\/5, -14, -8\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426884398.\nAnswer: 2, 167, 1278097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -524)*(16 - 69\/6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 3*o)*(-2*o**3 + 4*o**3 - 3*o**3) + 2*o**4 + 0*o**4 - o**4 - o**2 + 2*o**4 + 2*o**3 - 2*o**3.\nAnswer: o**4 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 21*l**2 + 97*l + 8. Let o be k(8). What is the smallest value in o, -0.02, -5\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38, 36, 34, 32, 30?\n\"Answer: -2*r + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f - 15. Let t be o(7). Suppose 5*m = t + 298. Suppose -4*a + 2*c + 85 = -m, 4*a - 120 = -4*c. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -18)*(2 + -8). Suppose -4*l + 70 + 102 = 0. Suppose v - 3*g = l, 3*v - 48 - o = -4*g. What is the highest common divisor of v and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 470 * 0.4\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 58, 137, 248?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 + -113. Let b be -8*v*(18 - 19). What is the highest common factor of b and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 - 6*n. Let m(y) = -7*y**2 - 13*y. Let v(b) = -13*h(b) + 6*m(b). Let i(g) = 3*g. Give v(i(r)).\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - (-5)\/2. Suppose -7*s + c*s = -40. Calculate the remainder when 22 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.09*-13.15.\nAnswer: -119.5335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((84\/16)\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2355 (base 6) to base 14.\nAnswer: -2d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22056 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxfhoto. Give prob of picking 1 o and 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let s(j) = -6*j. Suppose 3*a + 34 + 29 = 0. Let t(q) = a*h(q) - 4*s(q). Let y(w) = 3*w - 11 + 11. Determine t(y(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0*n**2 + 1\/2*n**6 + 7\/6*n**3 + 0 + 3*n + 0*n**5 + 0*n**4. What is the second derivative of h(i) wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252799 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896*p**5 + 5664*p**4 - 6472*p**3 + 2870*p**2 - 558*p + 40 = 0. Calculate p.\nAnswer: 1\/4, 4\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 158*t**2 - 158*t**2 + 31*t**4 + (3 - 5 + 0)*(8*t + 7 - 7)*(4*t - 2*t**3 - 4*t) to the form o*t**2 + n*t + g*t**4 + v*t**3 + l and give g.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(57\/(36765\/(-86)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (-11 + 7 + 2 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + 0 + sqrt(17) - (-1 + sqrt(17) + 1)))**2 + (sqrt(68) - (1*sqrt(68) - sqrt(68)))\/sqrt(4) + -2*(-1 + sqrt(17)) + -4.\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/2357 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 74. Suppose 6*v = f*v + 8800. Round v to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-375)\/1350 - (350\/(-63))\/5.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476643 = 5*k + 4*q, 1731*k + 3*q = 1734*k - 285975. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 8*w - 3. Suppose -w*t + 6*t = 21300. What is t rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -4, 1, 5, -2.\nAnswer: -50, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*g + 463590 = 13*g. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 2295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1124872, -1125556, -1126240, -1126924, -1127608, -1128292?\n\"Answer: -684*w - 1124188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - -145. Solve 0 = -w + 41*y - 46*y - 16, 4*y = -5*w + x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13362)\/68)\/131*64\/52.\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1. Let y(w) = -15 - 24 - 4 - 2*w + 48. Determine 4*m(o) - y(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 13 = 5*w + 466, 3*w - 4*o = -270. Let k = 196 + w. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 8. Let s be i(-5). Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/1669 (b) 7 (c) -1\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z - 43. Determine m(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**(2\/7)*y*y))**(3\/8))**26*(y\/y**0)**27\/(y**3*y**(-1\/4)\/y) assuming y is positive.\nAnswer: y**(629\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 327*t - 318*t + 54 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(1375)*1 - sqrt(55))\/(sqrt(5) + (sqrt(20)\/sqrt(4) + sqrt(5))*1).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 287259943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181 - 173. Suppose -9*l - 5*b + 249 = -s*l, -5*b + 483 = 2*l. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21302000 (base 4) to base 13\nAnswer: -1530b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9963576?\nAnswer: 2, 3, 7, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1836 and 8456508.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/36)\/(1\/(-9)*-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55539308537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.16294 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 131 = 4*y. Let n = 0 + 7. What is the greatest common divisor of n and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15 + -13 + -2 + 0. Solve l = 5*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102) - 1*sqrt(102)) + sqrt(102)*2*1)\/(sqrt(66)\/(-4*sqrt(44))).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-81)\/(-36) + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 - 752*c**4 - 12*c**3 + 18*c**2 - 137 wrt c?\nAnswer: -60*c**2 - 18048*c - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 25 + -417 + 418\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.1 + 6.1. Let u = 29 + x. Let z = 0 - -1. What is the nearest to z in u, -2\/9, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {l: 2, e: 12, g: 5}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f**3 - 2*f**2 - f + 2. Let a be y(1). Suppose a = 11*o - 8*o. Let c(w) = 5*w + 4*w**3 - 3*w**3 - o + 0*w**3 - 5*w**2. What is c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 536 - 540. Is (g\/(-3))\/((-104)\/(-354666)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 18 + 18)*(6 + 1 + 7) in the form v + n*g and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 1.03. Let v = -131\/8 + 16. Which is the closest to 0.2? (a) -0.5 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900, 2512, 4124?\nAnswer: 5736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/4 of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l + n = 181, -455 = -5*l - 5*n. Let v = 14 + -24. Let g(q) = -q. Let o be g(v). Calculate the highest common factor of o and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 29*z**2 - 73*z + 146. Calculate b(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -12. What is the third smallest value in 2, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -538, -1128, -1766, -2446, -3162, -3908?\n\"Answer: l**3 - 30*l**2 - 507*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24633 - 24628. Put b, 0.5, -26, 2, -14 in descending order.\nAnswer: b, 2, 0.5, -14, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7192645346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfng when four letters picked without replacement from fffffnggfgrfrfffnfg.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 19*j - 16. Let u be o(11). Let m be (-2)\/1 + (71 - 1). What is the greatest common factor of m and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2195658 divided by -9\nAnswer: 243962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2 - 7 + 3*a + 5 - 3. Determine v(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 10\/21 (b) 6 (c) 3132.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90235 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeaeeeaccfewcucc. What is prob of picking 1 a, 1 w, and 2 e?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 2:14 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-380)\/(-80)*1*-4. Suppose -3*u = 5*l - 78, u = -2*u - 3*l + 72. Let v = w + u. Solve 8*m - 3*m + 5*a = 30, 0 = 4*m + v*a - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*k + 3056, 4*f - 107*k = -102*k + 6112. Calculate the highest common divisor of f and 955.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -359.3, 2\/217, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 362458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 19*i**2\/2 - 2. What are the prime factors of x(3)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3034 and 346614?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5. Suppose -5*m + 20 = 0, h*o - m = o - 15. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6656 (base 7) to base 14\nAnswer: -c2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 4*c**2 + 3*c + 7. Is 14 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g + 5. Let n be h(2). Let u(t) = -t + 11. Let k be u(n). Solve 0 = 5*z - 3*s + k, -11 + 1 = -5*z - 5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*l - 174722 = -180638 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**7\/2100 - t**6\/900 + t**3\/6 + 2*t. Let n(d) be the second derivative of v(d). Factor n(p).\nAnswer: -2*p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26364580 rounded to the nearest ten thousand?\nAnswer: -26360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 7. Suppose 2*w - 9 = c, -4*c + 5 = 5*w + 15. Suppose 3*s = -5*i + 33, 3*s - 4*s = -w*i. What is b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.056, 0.3, -0.027?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(120))\/(-1*sqrt(160)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 12. What is the common denominator of 79\/10 and (-369)\/(-66) + h\/(-2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2219536 and 3.\nAnswer: -2219533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2. Let g(w) be the second derivative of 0 - 2\/3*w**3 + 0*w**2 - 5*w. Give g(t(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-1))\/((-12)\/18) - 81. Let k = -171\/2 - m. What is the second smallest value in -2, 2, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/72 - 51\/24\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/38)\/((-27)\/(-2)). Let o be (-884732)\/(-82080) + (-12)\/(-20). Let m = o - u. What is the common denominator of 95\/4 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**3 - 13*z**2 - 13. Let n(b) = b**3 - 2*b**2 - 2. Let w be (-13 - -1 - -11)\/(1\/(-39)). What is w*n(k) - 6*q(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1775 = -14*l + 613, -4*l + 6*l = -c - 171 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 34*o**2 + o. Calculate y(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 65578\/14*1 - 2\/14. Suppose 0 = -4*g + 2*m + u, -5*g + 5*m + 2189 = -3656. What are the prime factors of g?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e8 - -49?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.56 + 11581.51278?\nAnswer: 11744.07278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*(-16)\/(-32)*(-2 - 21\/14 - -10).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o - 2 = 0. Let h be 3\/(3\/2) - o. Suppose -h*i = -3*b + 5*b - 84, i - b = 24. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 55 - 40 + 0*p - 42. Let g be q(-9). Suppose 6*b = -0*b + g. Solve f - 27 = -2*f + b*z, 3*z + 3 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1141 - 12301230?\nAnswer: -12300034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**4 + 2511107*a**3 - 350314214130*a**2 + 16290272661625188*a + 2715055174566216.\nAnswer: -(a - 139506)**3*(6*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose -q*k + 381 = k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64098, -128172, -192220, -256242?\n\"Answer: 13*t**2 - 64113*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*c - 1 = 0, -2*x - c + 1 = -7. Find the second derivative of g**x + 0 + g**5 + 4*g + 0 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3006 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 2*w**9\/63 + 3*w**5\/20 - 5*w**2. Find the third derivative of b(g) wrt g.\nAnswer: 1920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 430 = 2*l + 4*j, l + 3*j + 235 = 0. Which is the nearest to -4? (a) 4 (b) -1\/10 (c) l (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 85799, 343469, 772935, 1374197, 2147255, 3092109?\n\"Answer: 85898*z**2 - 24*z - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 3*p**2 + 4*p**2 as d*p + w + k*p**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1363, -1361, -1359, -1357, -1355, -1353?\n\"Answer: 2*s - 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529156, -529160, -529166, -529174, -529184, -529196?\nAnswer: -529210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 20. Let p be ((-1636)\/12 + -4)*21\/28. Let g = p + 105. What is the fourth smallest value in -2, g, x, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Suppose s = -8*z + 3*z + 185. Suppose -z = -2*a + 35. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119320 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -976 - -1973. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = 0, 15 = -f + 3*u. Suppose -t = -30 + 45. Is t not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - 157. Let b = m + 335. Is (1\/1)\/(2\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 55*h**3 - h**2 - 55*h = 0. Calculate h.\nAnswer: -55, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*o**2*r**2 + 111*o**2*r - 12*o*r**5 - 7*o*r wrt r?\nAnswer: 16*o**2 - 240*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 1142*t**3 + 4514*t**2 + 12462*t + 6804.\nAnswer: 2*(t - 567)*(t - 6)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.289 - 22.289. What is the third biggest value in i, 5, 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 587 + -592. Let u = 10.46 - 9.46. What is the nearest to u in 2\/9, t, -0.05, -3\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40464 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -151, -718, -1923, -3982, -7111, -11526, -17443?\n\"Answer: -36*z**3 + 5*z**2 + 92*z - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/3, 1\/10, -0.8, -0.2 in ascending order.\nAnswer: -14\/3, -0.8, -0.2, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 3*g**2 + 26*g + 4. What is p(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 2. Suppose 5*b - 27 = -37. Let u be g(b). Solve -u*v + 11 = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*m - 15 = 0, -6*m = 2*i - 2*m - 20. Let c(x) = i*x**2 + x**2 - 5*x - 4*x - 1 + 4*x. Determine c(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52947.\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:38 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/5 - 12*g**4\/5 - 96*g**3\/5 - 208*g**2\/5 - 144*g\/5 = 0. Calculate g.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-21)\/10)*533\/((-67158)\/3528).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129865761.\nAnswer: 3, 109, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-32)\/8 + 9 + 317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049 + 9095.392.\nAnswer: 9095.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 + -147. Let f(a) = 27*a - 15. Let w(k) = 7*k - 4. Calculate s*f(r) - 15*w(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h + 40 = 5*o, 2*h + 26 = o. Let c be (2 + 42\/h)*-5. Find the third derivative of 8*j**2 + j**5 + 2*j**5 - c*j**2 wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-4)*(-16)\/14*(-72)\/(16416\/1995).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/4)\/((165\/2860)\/(81\/(-36)))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a + 41. Let i be t(-10). List the prime factors of 1372*(5 + 36\/i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1)*2 + 89 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3763 + 3664?\nAnswer: 7427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 o when three letters picked without replacement from oofd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + m - 16*m - 5*n = -15*m + 23, 8*m = 3*n + 36 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.18172 decades?\nAnswer: 0.0618172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6694992 divided by 117456?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1182006 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610061 is divided by 2748.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x - x**3 - 30 + 2*x**3 + 36 - 17*x**2. Let c be a(17). Let q = c - 141. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/(t*t**(-6)*t))**50 assuming t is positive.\nAnswer: t**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271547786, -271547787, -271547788?\nAnswer: -271547789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -5, 0, -1, 3.\nAnswer: -5, -1, 0, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578.473cm in nanometers?\nAnswer: 35784730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + (sqrt(1100)*1 - sqrt(1100))*-1.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 661, 953, 1249?\nAnswer: 1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -10. Let y be 3\/2*(-2 - (-215)\/105). Let s = 13 - 12.9. Which is the closest to s? (a) l (b) y (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (-23 - -14) + 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11057*c**5 - 51102*c wrt c?\nAnswer: -221140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -540*b + 535*b - w - 5 = 0, -3*b = -2*b - 2*w - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20440 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52*(-26)\/8*(-5 - -1). Suppose k = 5*b - 161 - 511, -5*b + i = -3*k. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - -31?\nAnswer: 30.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*v*v*v\/((v*v**9)\/v)*v*v*v))\/v))\/v)**32 assuming v is positive.\nAnswer: v**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, b: 2, f: 2, x: 7, p: 1}. What is prob of picking 1 f and 1 p?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 75. Suppose o*i + 6 = 0, -6*i + i = -g + 591. Find the common denominator of -65\/6 and g\/(-42) - 4\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + 2*c**2 - c - 8. Let n be t(4). Suppose -5*o - n = -413. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27574, 27686, 27798, 27910, 28022?\nAnswer: 28134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -10672 - -74706\/7. What is the smallest value in -0.2, 31, r, -1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000111011011 (base 2) to base 12\nAnswer: 278b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6210 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -16*b. Let q be z(1). Let o = -31 - q. Does 14 divide (-830)\/o + (-2)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48639353, 48639348, 48639341, 48639332, 48639321?\n\"Answer: -h**2 - 2*h + 48639356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (293 + 301 - 602 - 6*o)*(-3 + 0 + 5)*(0 - 2 + 6) to the form z + g*o and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7\/3780 - u**6\/1080 + u**5\/90 + u**4\/12 - 3*u. Let o(a) be the third derivative of c(a). Factor o(h).\nAnswer: -2*(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -5 (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -87 (b) -0.1 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3840 and -119\/1728.\nAnswer: 34560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*d - 59, 0 = -2*d - 4045*i + 4041*i + 54 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 5*z + 15. Is 7 a factor of (-3)\/(-1 - z\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 k when three letters picked without replacement from kkkkkkwwwkkkkkk?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 24 = 2*o, 4*o = s + s - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 8*l**3 - 30*l**2 + 36*l.\nAnswer: 2*l*(l - 6)*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 523 (base 7) to base 8\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0443 - 0.044299599. What is u rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - -265433023?\nAnswer: 265433034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**3 - z. Suppose p - 2 = -1. What are the prime factors of g(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a42 (base 13) to base 15\nAnswer: -270a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*n**3 + 4)*(-88*n + 31*n - 50*n - 69*n).\nAnswer: -352*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194204.789*0.2.\nAnswer: 38840.9578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 - 1404*u**3 - 590640*u**2 - 60568384*u - 1952949504 = 0.\nAnswer: -92, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 2 - y + 1 - 6*y**3. Let j = 53907 - 53911. Let b(z) = -5*z**3 + z + 2. Determine j*n(m) + 5*b(m).\nAnswer: -m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-14)\/2)*-1. What is the units digit of w\/6 + (-55)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 19. Let o be m(-14). Is (28 - -2)\/(9\/o) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 734571399?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 + 21*k**2 + 3*k + 4. Let r be d(-4). Let l be (3\/3)\/((-1)\/(-8)). Calculate the highest common divisor of r and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1521 and 27196.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132354 (base 10) to base 16.\nAnswer: 20502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032332 + 11?\nAnswer: 1033003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545678 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2552 + -538.\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 3, u: 2}. What is prob of sequence umu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.35, -0.4 in descending order.\nAnswer: -1\/3, -0.35, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*n - 4, 3*n - 2 = 3*p + 4. Calculate the least common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 17. Let j be 9\/45 + (-28)\/(-10). Let v(q) = -4*q**2 - 4*q - 2*q**3 + 4*q**3 + 6 - q**j - 10. Calculate v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q**3 + 7*q**3 + 1 + 0*q**3 - 7*q**3 wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - -186?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - 2. Let g = -5 - q. Let n(x) be the first derivative of -x**4\/4 - x**3 - x**2\/2 - 3*x + 1. Determine n(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 1.1. Which is the closest to -2? (a) -2\/21 (b) 2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.7 - -4.7. Sort 0.8, -3, 4, f in increasing order.\nAnswer: -3, f, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497806 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89469975 a multiple of 4053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138094275, 276188548, 414282821, 552377094, 690471367?\nAnswer: 828565640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (207\/(-690)*(-12)\/9)\/(72\/(-510))*-6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 3*p - 3*u - 22, -3*p + 14 = -u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/18)\/(-2)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 127. Suppose -4*m - x = m. Let l be -1*7 + m + 22. Let r(w) = -2*w - 6. Calculate r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1427 + 2170. What are the prime factors of r?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 + 0. Let g = -0.2 - u. Let s = -0.57 - -0.07. Which is the third biggest value? (a) g (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7887562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:38 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 5313357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 97224*m - 680617. Give g(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-55738)\/(-290) + 2\/(-10). Calculate the greatest common divisor of m and 864.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - 3*m)*(-36*m**2 + 23 - 8 - 15 - 48*m**2).\nAnswer: 252*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -12)*1\/(-1). Let u be -2 + 50\/w - (-4)\/26. Find the third derivative of 5*s**6 - 21*s**u - 10*s**6 + 17*s**2 wrt s.\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -6.51?\nAnswer: -26.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 4\nAnswer: 143\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 47*m**2 - 78*m - 27. Give n(21).\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**7\/1260 - s**6\/720 - s**5\/120 + 55*s**4\/12 + s**2 + 63*s. Let p(z) be the second derivative of j(z). Calculate p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-648)\/2835*15*(-7)\/5)\/((-2)\/35).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138213894 divided by -3?\nAnswer: -46071298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 60, 135, 240, 375, 540, 735?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 5*z**2 + 6*z**2. Let h(b) = -3*b**2 + 1262 - 632 - 630 - 2*b**2. Calculate h(q(v)).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttatttaaaaaet. Give prob of sequence et.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22032 divided by -102?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/8 + 79*v**2\/8 + 209*v + 1083\/2.\nAnswer: (v + 3)*(v + 38)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*r + 2)*(2 - 2 + 2*r) + 2830*r + 2756*r - 249*r**2 - 5605*r.\nAnswer: -253*r**2 - 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 4, r: 2, z: 1, n: 1}. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 709031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(175) + 2)*-1.\nAnswer: -10*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from dddjdjdjjjjjjj?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Let s = 0 - a. Which is greater: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*k + 1 - 1)*(-1 - 2 - 2) as v*k + g and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 439210 rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y + 194 - 42 - 52 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83160485?\nAnswer: 5, 1877, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 101341.\nAnswer: 709387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 8 = w. Let c = w - -19. Solve c = 4*h - 20, h = 3*r - 0*r + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 8 - 233 = 0. Let v(b) = b**2 + 4*b + 15. What is v(s)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 88576*d**3 + 633193704*d**2 + 1863270897696*d + 1962270464952564 = 0. What is d?\nAnswer: -11731, -3471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4070, 8124, 12176, 16226, 20274?\n\"Answer: -z**2 + 4057*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16470 + -4758. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351 + 412. Let j(w) = 31*w**3 - w**2 - 1. Calculate the remainder when j(2) is divided by m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7980?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/((-1)\/(-6)). Suppose 6*v - 2*v + k*n = 175, -5 = -n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 9. Calculate the highest common factor of 8 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 4375*i - 60651. Determine q(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18836 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m + 13. Let b(g) = 9*g - 6. Let z(d) = -7*b(d) - 4*h(d). Differentiate z(a) with respect to a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -20*p**2 + p + 32. Let n(t) = -5*t**2. Determine r(n(w)).\nAnswer: -500*w**4 - 5*w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -99*l + 360. Calculate the highest common divisor of l and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 8:57 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/(-7722)*2\/(-2).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 281511*k. Let j(d) = -d**2. Calculate j(i(v)).\nAnswer: -79248443121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -0.5, 1\/19, -7, 84?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**3\/3 + 9*x**2\/2 + 12*x - 5. Let v be q(10). Let k be 1 + -4 - 200\/(-56). Do k and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((3 - -1) + (-6 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, 96, -145, 1, 3 in decreasing order.\nAnswer: 96, 5, 3, 1, 0, -3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/4*(-73 - 0). Suppose 0 = 2*u - 10, 0*l - 4*l - 5*u + w = 0. Let s be (-1 + (-2)\/6)*-9. What is the greatest common divisor of s and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14535096 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (11 + 1 + -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -307*w - 1893 - 6703 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20133650, -20133646, -20133630, -20133596, -20133538, -20133450?\n\"Answer: k**3 - 3*k - 20133648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -930*t**4 + 603 + 1040 - 19*t**2 + 19*t**2 + 0*t**2 with respect to t.\nAnswer: -3720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w + 6. Let z be u(-6). Let y be 2446\/(-14) - (-10)\/(-35). Let m = z - y. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2. Let m(s) be the first derivative of 5\/2*s**2 + 2 + 0*s. What is m(r(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 214 - 6*t + 80 + 111 in the form g*t + m and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2213103 - 213330?\nAnswer: 1333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let o(w) be the second derivative of -1\/3*w**3 + 8*w + 0*w**2 + 0. Calculate g(o(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 17*b - 18. Let u(r) = r**2 - 13*r + 17. Calculate 3*u(w) + 2*v(w).\nAnswer: -w**2 - 5*w + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Let l be ((-6)\/(-10))\/(2\/g). Let p = 0.04 - -0.16. Which is the smallest value? (a) p (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, -4, -5 in increasing order.\nAnswer: -5, -4, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -19*f + 3. Let m(r) = -31*r + 17. Let o(l) = 53*l - 29. Let n(i) = 12*m(i) + 7*o(i). What is -3*n(y) + s(y)?\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/60 + c**4\/6 - c**3 + 8*c**2 + 4. Calculate m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 18*y + 8*y)*(-2*y + 3*y + y).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 31 = 85. Solve 4*y + q + c = 0, 9 + 8 = -3*y + q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - ((20 - 2) + 5) - (-9 - -1) - -8.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 13 + 2. Suppose 0*q = j*q - 42. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1. Let s(d) = 4*d - 6. Let q(z) = 5*z - 8. Let m(w) = -3*q(w) + 4*s(w). Let c(v) = -4*v - 3. Let n(k) = c(k) + 5*m(k). Determine 2*n(a) - 6*p(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 3, 1, 0.05, 12.6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 2*f + 221. What is q(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17230, 17274, 17312, 17344, 17370, 17390?\n\"Answer: -3*o**2 + 53*o + 17180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43663860 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3 - 2, 0 = 2*q - 3*i + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 327664404*b**5 + 3*b**2 + 2544*b - 488.\nAnswer: 19659864240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.163 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 713017399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.85 + -0.364.\nAnswer: -2.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.140821 - 0.09.\nAnswer: -15.230821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 189441, 189375, 189309, 189243, 189177?\n\"Answer: -66*t + 189507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000961358 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610488423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - -36 - (-16 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g - 325 = -71*g. Suppose -13*a + g = -27. Solve 0 = a*h - 4 + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 10*y**3 - 19*y**2\/2 + 11*y - 1. Find the first derivative of o(t) wrt t.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**8\/2240 - h**7\/280 - h**6\/96 - h**5\/80 - 2*h**3\/3 + 3. Let j(q) be the third derivative of d(q). Solve j(c) = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95959662 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (110 - (152 + -33)) + (0 - -28)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 18. Let l = -193 + 191. Which is the closest to -1? (a) z (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfffoblbbfqf. Give prob of sequence off.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8904, -5, 4\/3, -218 in descending order.\nAnswer: 4\/3, -0.8904, -5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 103 + 32*d - 12 - 25 to o + f*d and give o.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.12. What is the smallest value in -2, x, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79 - -82) + (-2)\/3 + 222\/(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61114 - 344198 = -6032*i - 122*i - 179*i for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**6\/120 - 7*p**4\/12 - 175*p**3\/6 + 185*p**2\/2 - 107*p. Let c(o) be the first derivative of t(o). Differentiate c(q) wrt q.\nAnswer: 3*q**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + (-38)\/6. Let q be (x\/(-4))\/(5\/10). Find the third derivative of j**3 + 0*j**3 + 2*j**2 + 0*j**q wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/20 - 1\/20. Suppose 32*v + 158 - 126 = 0. Which is greater: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 53 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 120366 in 18\/11, 2\/11, -2\/9?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47620 + -28570. What are the prime factors of p?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4428539 is divided by 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1102 and 230779358.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:16 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-38)\/8*-2*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.7 to zero dps.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3424*r**3 + 440*r**2 - 853*r**2 + 413*r**2.\nAnswer: -3424*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260687988 to the nearest integer?\nAnswer: 16146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1342105\/253608 - 4\/10567. Calculate the common denominator of k and (274\/(-72))\/((-4)\/6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.144 minus -35844463210?\nAnswer: 35844463209.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2. Let g(a) be the first derivative of 7*a**4\/24 + 7*a**2 - 20. Let c(f) be the second derivative of g(f). Calculate c(r(i)).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 22 = 3*y + 2*y, -y - 2*v + 7 = 0. Let s = y + 1. What is the smallest common multiple of 14 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.8, -0.0535, -13, 3\/7 in decreasing order.\nAnswer: 2.8, 3\/7, -0.0535, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-154)\/(-13) - 22\/(-143). What is the tens digit of ((-44)\/k)\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 43*r**3 - 18*r**3 + 2*r + 6116 - 6090 + 8*r**2 - 24*r**3. Calculate o(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-17 - -13 - (-1 - 0) - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 8:47 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, m: 1, r: 1}. Give prob of picking 2 a and 1 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5036 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9\/2 (b) 16 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19498 is divided by 191?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 97536657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89997304 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -10*r**3\/3 - 6*r**2 - 4*r. Let k be z(-9). What is the tens digit of k\/6*(-9)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131283, -262577, -393891, -525237, -656627, -788073, -919587, -1051181?\nAnswer: -1182867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*p + 16, -75*n + 80*n = 4*p - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*q**3 - q + 184 + 167 - q**2 - 438 + 0*q**2 + 36*q**3 as b*q**2 + k + l*q + p*q**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -271*g**2 + 12*g + 20. Let i(v) = 272*v**2 - 10*v - 21. Let a(x) = 5*d(x) + 6*i(x). Find the first derivative of a(p) wrt p.\nAnswer: 554*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, s: 3, o: 2, t: 4, m: 2, l: 1}. Give prob of picking 1 s and 1 a.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 890 - -610. Does 60 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1355730?\nAnswer: 1355735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.617568 to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 5*x**2 - 6*x**2)*(-13*x + 67*x**2 - 22*x + 85*x).\nAnswer: -67*x**4 - 50*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 178791134 at least 178791133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646741929 and 7389.\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221223\/16 - -13831. Calculate the common denominator of (-1)\/(-3) + (-281)\/(-12) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-20)*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(6 + 26*(-2)\/5))\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.45879 and 0.22?\nAnswer: 0.1009338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 428069 (base 10) in base 6?\nAnswer: 13101445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -48\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by -14\nAnswer: 114\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-28)*1*(-42)\/(-12). Which is the biggest value? (a) -4 (b) 3 (c) -0.03 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 58 = y, 4*o + 2 - 52 = -2*y. Suppose -129 = -5*k + 86. What is the remainder when k is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -21*g**2 + 3785*g + 7004. Give i(182).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, h: 6}. Give prob of picking 1 s and 1 h.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -39*l - 3. Let h be g(-2). What is the highest common divisor of h and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124*6\/186*(14 + 2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 7 - (0 + -12 + 15 - 19)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 680 or 686?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 61.3. Sort -11, c, 0.\nAnswer: -11, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otoydoqddyoqtqyodo. Give prob of sequence qdyq.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*k - 18 = 0, 15*k - 109 = 5*a + 16*k. Let g = a + 25. Suppose 16 = -g*j + 520. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82 - 24.32. Let b = -22 - k. Let o = -0.5 + b. What is the nearest to -1 in o, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-378)\/(-424)*(-5 - 1 - 4197). Let z = m - -3747. Are 1 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-8)*2848\/(-72) and 26\/(-3) - 2 - 8\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-94)\/8 + 3\/(-12). Let r = 7 + t. Let b = 0 - r. Solve u - 5 = 6*u - b*k, -5*u - 3*k - 37 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/3*6\/5. Let f be (0 - 3)\/(1*(-3)\/2). Suppose -h - 4*r = -f*h + 7, h - r - 4 = 0. Solve 0 = m*v + d + 5, 3*v + 17 + h = -4*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = -y. Let u(t) = t**2 + 2*t - 4. Let r be u(y). Which is the third smallest value? (a) r (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 659, 2476, 4293, 6110, 7927, 9744?\nAnswer: 11561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**2 + 104*g - 27\/10*g**6 + 1\/2*g**3 + 0*g**4 + 0*g**5 + 0. Find the second derivative of r(b) wrt b.\nAnswer: -972*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 92758160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (234840\/4180)\/(-309) + ((-404)\/(-286) - 1)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/5 - r\/5 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -135, -317, 3\/2, -0.3, 0.3, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 5 - 13)\/1. Let w be ((-6)\/(-4))\/((-12)\/z). Suppose -q + 8 = q. Solve -w*i + 2 + q = -2*c, -3 = 5*i + 4*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 15. Let t = 25 - n. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108437.43 times -0.03?\nAnswer: -3253.1229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -374*w - 748. What is l(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 0 (b) 1\/2 (c) 4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {i: 1, g: 12, m: 3}?\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.8. Suppose -5*d - 64 = -2*g - 22, -3*g + 19 = -2*d. Let n = 6 + d. Which is the nearest to 1\/3? (a) h (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(16)\/sqrt(2))**2 - (sqrt(392)*1 + sqrt(392)))*-1.\nAnswer: -8 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b. Suppose -4*r = -b*r - 8. Let g be -9*2\/(-12)*r. What is the greatest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149700 is divided by 730?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6415, 25742, 57945, 103018, 160955?\n\"Answer: -k**3 + 6444*k**2 + 2*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00121613 to five decimal places.\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 5*y**3\/6 + 16*y**2 + 12*y + 2. What are the prime factors of s(7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 506*s**2 + 71*s - 255. List the prime factors of o(4).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -173? (a) -2 (b) -5 (c) -138 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4\/3 in increasing order.\nAnswer: -5, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 652\/3260 - ((-86092)\/15 - 8\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1214645 - 11?\nAnswer: 1214634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 1, 4*f - 2*j = -4 - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (4\/(-2) - 0). Let w = 3.97 + 0.03. What is the nearest to m in w, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1870 - 1873 + 3917*l**2 + 312*l**2 + 3743. Let z(g) = -g. Determine d(z(s)).\nAnswer: 4229*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f34 (base 16) to base 13.\nAnswer: -1a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = 18 - 78 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and -18.66?\nAnswer: 16.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24 - 4) + 0 + 3. Let u be (-8)\/(-160)*92 + 4\/10. Suppose 0 = 2*f + u*m - d, 4*f = -3*m + 1 + 66. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-63) + (-10 - 203\/(-21)). Let s = 6.86 + -8.3. Let g = s - -0.14. What is the third smallest value in g, w, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174953 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 139*p**4\/3 + 2231*p**3 + 7520*p**2\/3.\nAnswer: p**2*(p + 47)*(139*p + 160)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(1 - -2). Let j = 4 - p. Calculate the lowest common multiple of 4\/((-20)\/(-93)) - 18\/30 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44.05 meters?\nAnswer: 44050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3827?\nAnswer: 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3275651 is divided by 1091871.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 7*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26417, -52832, -79247, -105662, -132077?\nAnswer: -158492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1108479 >= -1108475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + -6*(sqrt(275) + 5 + (sqrt(275) - (sqrt(275) + 2)))**2 + -1).\nAnswer: -6828 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 4*h**2 + h. Let u be g(4). Let x = 26539 - 26535. Solve -s - 3*d = -u, -s - 4*d = -2 - x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -111438 - 1?\nAnswer: -111439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (-6*(-2*sqrt(204) - sqrt(204)) - sqrt(204)) - sqrt(204) - -4*-1*sqrt(204))\/((sqrt(84) + sqrt(84)*2)\/sqrt(7) + sqrt(12) - sqrt(108)*2) + 3.\nAnswer: 3 + 21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 88 in decreasing order.\nAnswer: 88, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -54 (b) 1\/9 (c) -0.4 (d) 14 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-1)\/33*((-18 - -32) + 87)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9176635 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7443.8 + 7586.763. Let v = 143 - u. Round v to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/13 + 6*w**3\/13 + 2*w**2\/13 - 6*w\/13 = 0 for w.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 1. Suppose 4*u + 5*d - 2*d = -35, 40 = -5*u - 3*d. Let p(w) = w**2 - 5*w - 35. Let q(r) = u*z(r) - p(r). List the prime factors of q(0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**2. Let v(p) = -851*p. Give q(v(b)).\nAnswer: -4345206*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zohhhhzhhhohhhozoh. Give prob of sequence hzo.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101120233 (base 4) to base 3.\nAnswer: -121221021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**3 + r**2 - r + 1. Let p be j(1). Let k(l) be the second derivative of l**4\/12 + l**3\/6 + 3*l**2\/2 - 2*l. Is 12 a factor of k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.3 + 4.36. Is 2 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 25, -u - 5*a = -31 + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(16\/4) + 2. Solve -4*z - i*h + 11 = z, 0 = -4*z + 4*h - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 32*x + 87. Let q be n(-29). Find u, given that 0*u**3 + 0*u + 0*u**2 + 5\/6*u**5 - 1\/3*u**4 + q = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8*k + 2*q - 4, 2*k = -3*q - 6. Suppose -14 - k = -o. Let r = 33 + 0. Calculate the remainder when r is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/10*9)\/((-3)\/(-15)). Let h be ((-1)\/(-3))\/((-2)\/(-6)) - -44. What is the highest common factor of v and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.32 + -0.1. Let s = 0.305 - n. Let h = s - 0.08499923. Round h to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-45)\/(-20)) - 2. Solve -k*x = -h - 4, 8*x - 4 = 3*x + 4*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -11 - (3 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 37856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c. Let g(z) = -15*z - 10 + 17 - 5 - 4. What is g(a(o))?\nAnswer: 30*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 12:29 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -66. Let p be -4*(-1 - (-1316)\/8). Let l = 9806\/15 + p. Are y and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 160. Let y(h) = 2*h. What is q(y(w))?\nAnswer: 4*w + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 = 3*o. Let j = 5.66 + -1.66. Which is the biggest value? (a) o (b) -5 (c) 0.1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152963713 divided by -7\nAnswer: -21851959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1623256 * 78\nAnswer: 126613968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/49728*-37 + (-151)\/1904\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/28)\/(114\/(-8)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -65, 1\/7, 1, 4, -3\/4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -58*g + 1. Let z(x) = -16*x. Let p(o) = 7*o. Let j(w) = -14*p(w) - 6*z(w). What is j(u(n))?\nAnswer: 116*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from iihllilhlii?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 68. Let s be (4 - -2)*(2 + -15). Let f = t - s. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110223937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, 2\/1481, -2\/5 in ascending order.\nAnswer: -4, -2\/5, -0.3, 2\/1481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52158.73 millilitres in litres?\nAnswer: 52.15873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 9:44 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0*f**2 - 18*f + 0 + 3\/2*f**3 - 1\/900*f**6 - 1\/15*f**4 + 1\/60*f**5. Let t(w) be the second derivative of c(w). Factor t(v).\nAnswer: -2*(v - 4)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + -16ac7?\nAnswer: -16ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-7))\/(12\/((-6)\/2))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**4\/12 + n**3\/6 - 158*n**2. Let u = -11 + 7. Give d(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r + y - 42 = 39*r, -5*r + 105 = -y. Calculate the greatest common divisor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 19. Let t = w - 25.0178. Let k = t - -0.007. What is k rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(187) + (sqrt(187) + -2*3*sqrt(187) + sqrt(187) + sqrt(187) - sqrt(187) - sqrt(187)))\/(sqrt(33)\/sqrt(108)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -27440183*q**2. Let b(o) = -16*o. Give k(b(w)).\nAnswer: -7024686848*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 1, s: 1, q: 2}. What is prob of picking 1 m and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6147 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (10 - (-7 - -17)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + g + 3. Let c be q(0). Let i(b) = -7*b + 7. Let j(s) = 36*s - 36. Let k(w) = -21*i(w) - 4*j(w). Determine k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 3. Let q be t(7). Let b = 46 - q. Solve b = 3*d - 5*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(1\/18)\/z))**10\/((z\/(z\/z**10))\/z)**(5\/21))**1 assuming z is positive.\nAnswer: z**(1720\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 213*j + 7905. Determine b(-157).\nAnswer: -887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1049*z**5 + 1526*z + 69*z**5 - 987*z + 1261*z - 929*z**5 wrt z.\nAnswer: -38180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by (-9 + 1)*(-1974)\/336.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 20 = 5*y, -4583*q + 4588*q - 35 = -5*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7741798*f - 28949656.\nAnswer: -7741798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - -5. What is the third biggest value in -0.2, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3050 less than 3050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175393*x - 526209*x + 175397*x + 175407*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 1. Let l be c(-1). What is the units digit of 1*l + (10 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxdmmmmwmmxmwmxxwmmx. Give prob of sequence wxw.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*c + 70 + 122. Let a = 12 + -8. Factor -a*m - 5*m**2 - 10 + 6 + c*m**2.\nAnswer: -(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1947*i**2 + 462*i**2 + 3444*i**2 + 1691*i**2 to the form o + u*i**2 + z*i and give u.\nAnswer: 7544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r**2 + 10813*r + 43227. Give m(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(3\/(-18))\/((-1)\/4). Let i be 3 + -2*(-1)\/w - 2. Which is the smallest value? (a) -2 (b) -7 (c) -0.1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and (-6)\/(-8) + (-20)\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2. Let q(h) = 110644 - 254*h**2 - 110644. What is q(r(w))?\nAnswer: -254*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(9\/6)\/1. Let h be (-67956)\/g - 6\/9. Let o be ((-4)\/5)\/(4\/h). What is o rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -1 + (-13 - -14). Solve m + 16 = 2*g + p*m, -2*m + 8 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**(-2\/5)\/((((h*(h**4\/h)\/h)\/h*h)\/h)\/(h*h\/h**(-1\/4)*h))*((h**(-2))**(9\/5))**(2\/69) assuming h is positive.\nAnswer: h**(481\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127.7 - -128. Put i, -4, -0.3, 5 in decreasing order.\nAnswer: 5, i, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/13 (b) 1\/6 (c) 0.38 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2202*c**2 - 10 + 3*c + 1112*c**2 + 1095*c**2. Determine u(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3275.5 + -3276. Sort 2, -317, f in descending order.\nAnswer: 2, f, -317","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 6. Let t be j(-7). Let r(x) = -106*x - 130. Let b(a) = -21*a - 26. Let n(p) = -14*b(p) + 3*r(p). Does 14 divide n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 + 1278*q**4 - 553647*q**3 + 52419076*q**2 = 0. What is q?\nAnswer: -1636, 0, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**3\/3 + 31*p**2\/2 - 19*p + 8. Let a(w) be the first derivative of q(w). What are the prime factors of a(19)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/198)\/((-4)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/(-1) + -1 + 5. Suppose r - 29 = l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 2*u + 51572*u**2 - 51625*u**2 + 0*u - 4.\nAnswer: -53*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**2 - 786*h + 786*h.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -5f1?\nAnswer: 5ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11732.69 decades?\nAnswer: 117326.9","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiixxxxxixxxxxxxxx. What is prob of picking 3 x?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmqm when four letters picked without replacement from {q: 13, m: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 244035.6148 to the nearest 1000.\nAnswer: 244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-50)*(10 + 0). Suppose 2*n - 3*o + 20 = 167, 4 = d*o. Let y = n - 52. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 500952851*d**3*m**4 + 7077*d**3*m - 5*d**2*m - 2*d*m - 3121*m wrt m.\nAnswer: 6011434212*d**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/28)\/5)\/(1\/12).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21283, -21282, -21281, -21280?\n\"Answer: j - 21284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 - 6*z**3 + 938095 - 4*z**3 - 1876191 + 938096.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -142?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from wjiihrriwr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -584439.\nAnswer: -584440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c. Let s be a(1). Let m(t) = -t**2 - 5*t - 2. Let f(g) = g**2 - 3*g - 4. Let l be f(3). Let i be m(l). Solve r = -s + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -109 - (-2 - 1). Let w = z + -67. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 - (2 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g**4 + 45*g**3 + 447*g**2 - 684*g - 2700 = 0 for g.\nAnswer: -6, -2, 3, 25\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*m + 168*m + 11 = i, -2*m + 6 = 0. Suppose 5*p = -3*x + 11, -i*p + 3*x = -3*p - 5. Which is the smallest value? (a) -36 (b) 0.4 (c) p (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7208?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 + -8 - 784)\/(2\/(-8)). Let u = z - 21908\/7. Calculate the common denominator of u and 95\/(-3)*3\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*m + 42*m - 14*m + 34*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 124269 divided by 1056?\nAnswer: 41423\/352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/36843 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -82\/7. Let t = -0.3 - -0.2. Let w = t - -0.3. What is the nearest to u in 1\/2, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1996*l = 1998*l + 2394, -3*k + 1463 = -5*l. Calculate the greatest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 1)*-2 + (sqrt(343)*3 - sqrt(7)))**2.\nAnswer: -72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/3)\/(11550\/(-315)))\/((-8)\/10).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -179714*c + 179712*c - 792 - 842 to the form l*c + w and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12 - 12 + 22*a - 38*a. Let m(p) = -4*p. Give m(y(v)).\nAnswer: 64*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29009 and 27?\nAnswer: 783243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/o*o)**(3\/26))**9*(o\/((o\/((o\/(o*o**(-1\/3)*o))\/o)*o)\/o))**(7\/3)*o**(-1\/4)*o**(-4) assuming o is positive.\nAnswer: o**(-2837\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/49, -6\/17, -38, -3, -2 in decreasing order.\nAnswer: -4\/49, -6\/17, -2, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 432, 0.1, -3\/5 in ascending order.\nAnswer: -3\/5, 0.1, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -108682, -434745, -978180, -1738981, -2717142, -3912657?\n\"Answer: d**3 - 108692*d**2 + 6*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(10 - 230\/20). Which is the nearest to n? (a) -0.4 (b) 6\/11 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/5 - 55638*a**3\/5 + 167004*a**2 - 835170*a + 1392075 = 0. Calculate a.\nAnswer: -18561, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/64? (a) 13 (b) 1\/8 (c) -0.32 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2217 - -5281. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 12. Let s be g(13). Let z = 6 + s. Suppose -q - 15 = z*d, q + 5*d = 3*q - 15. Solve q*v = -4*v + 2*b - 18, -3*v + 3*b = 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, g: 4, p: 2, h: 5, y: 1}. Give prob of picking 2 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74230181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**8\/168 - r**7\/105 + 17*r**6\/60 - 19*r**5\/30 - 4*r**4\/3 + 20*r**3\/3 - 5263*r**2. Suppose q(t) = 0. Calculate t.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**3 + 11*u**2 - 11*u - 13. Suppose -8*x + 4 + 12 = 0. Let k(j) = 2*j**3 - 7 - 6*j + 8*j**x - 6*j**2 + 4*j**2. What is 11*k(r) - 6*s(r)?\nAnswer: -2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41, 11, 143, 355, 647, 1019?\n\"Answer: 40*d**2 - 68*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 440459190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -734 + 734 + 673*n**2 to k*n + a*n**2 + l and give a.\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 162?\nAnswer: -162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 1091*w**5\/10 + 17*w**4\/8 - 19*w**3\/6 + 11*w**2 + 123*w. Find the second derivative of a(j) wrt j.\nAnswer: 13092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Suppose 0 = -j + 2 - x. Is j at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 - 7 = 0. Let k = 26 + -18. Find the second derivative of y - 4*y**2 + h*y + k*y**2 - 2*y**2 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 780 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72674 is divided by 418.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 284? (a) 0.1 (b) -3\/4 (c) 50\/9 (d) -0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhmhhmmmmmmmmmm. What is prob of picking 1 m and 3 h?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22a6a198 + -4?\nAnswer: -22a6a1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, c: 1, b: 4}. Give prob of picking 1 c and 1 b.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + n**3 + 0*n**3)*(3 + n - 3)*(0 - 2 + 0 + (7 + 0 - 3)*(4 - 1 - 2)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, x: 2, m: 3, y: 1, t: 3, z: 2}. What is prob of picking 1 m, 2 r, and 1 y?\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 16*g**2 + 219*g - 66. Determine s(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7392 = 1047. Round w to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + p = 95, -3 - 6 = -228*p + 231*p for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8ca2b (base 15) in base 13?\nAnswer: -128a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -211\/1260 and 151\/1897224.\nAnswer: 28458360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*d + 42, -4*d = -2*m + m + 54. Suppose 2*i + 69*i = 710. Suppose -i*r - m = -11*r. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/6, 0.5, 94448?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 28 + -12 + (-39 - -1) + 7.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Suppose -2128*o + 2088*o = -160. Let k(t) be the third derivative of 0 + 0*t + 6*t**2 - 5\/12*t**o + 0*t**3. Determine k(i(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16672441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31222530?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 353742066935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3008 is divided by 1044.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 111. Let g = x + -79. Let t = g - -77.3. What is t rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -7493*s**5\/20 + 699*s**4\/4 + s**3\/3 + 664*s + 2. Find the third derivative of b(p) wrt p.\nAnswer: -44958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -581.112922 to 0 decimal places.\nAnswer: -581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3184095 to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*b - 98038*b - 116642*b.\nAnswer: -214324*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/36 + 1030*f**3\/9 + 530450*f**2\/3 + f - 1294. Solve g(i) = 0.\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 - -359. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/((-3)\/63). Let y = t - 28. Let f = -28 - y. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/95 and -71\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.75 + 80. Let f = 28.75 - r. Round f to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4)**(-32)\/((i\/i**(8\/7))\/i**(8\/3)) assuming i is positive.\nAnswer: i**(-2629\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108 plus 14.7?\nAnswer: 14.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 42299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 8, 5 in ascending order.\nAnswer: -4, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4291941.\nAnswer: 3, 1430647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(1485\/(-22))\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*l = -129*l + 1680 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.8765 and 2836921.\nAnswer: 2836921.8765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 - 3. What are the prime factors of p?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1059 and 728724375?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-32 + -21 + 63).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**4 + 2405785*t**3 + 28869915*t**2 + 108262775*t + 120292250 = 0. Calculate t.\nAnswer: -5, -2, 481169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -13. Sort 0, 2, c.\nAnswer: c, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*p**2 - 22*p - 57?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 + 10*w**2 - 16*w wrt w.\nAnswer: -12*w**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 + 1. Determine o(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d + 1. Determine j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3bf89 (base 16) to base 13\nAnswer: -87a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*p - 206*p + 104*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0069977 - 0.007. Round q to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0212332 * 21.\nAnswer: -0.4458972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/13 + 828*l**2\/13 + 8*l\/13 - 3312\/13 = 0 for l.\nAnswer: -2, 2, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 19*p - 4*l = -124, -4*p + 157 = -3*l. What is the greatest common factor of 2000 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.9 - -292.\nAnswer: 310.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244191773 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.078159*0.1.\nAnswer: 0.0078159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*a**2 - 112\/11*a - 1176\/11 = 0 for a.\nAnswer: -42, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 785 and 782 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 11*y**2 - 16*y + 12. Let s be l(-12). Let v = 63 - s. Suppose -v*g + 6*g = -5*x + 42, 5*g + 3*x - 70 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -602 - -413630?\nAnswer: 413026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*(1 + 19). Suppose f - 5*i = -7, -s = -3*f - i + 1. Let h = 6 + f. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 53 - 102*a + 9 + 17 + 14.\nAnswer: -102*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -505.4142709 to one dp.\nAnswer: -505.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + m + 2*m + 1 - 1 - m - 2*m + 0*m + 3*m + (m + 5*m - 5*m)*(4 - 3 + 0) + 6*m - m - 3*m + 0*m - m - m to the form u*m + k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2554 (b) -4 (c) 4\/7 (d) 0.6 (e) 0.5 (f) 47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2740*f - 5478*f + 2740*f + 21. Let w(q) = 2*q**2. Calculate u(w(z)).\nAnswer: 4*z**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b77a (base 15) to base 11\nAnswer: 27187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59686, -119365, -179044, -238723, -298402?\n\"Answer: -59679*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/5)\/t))**(-37))**(-18\/7) assuming t is positive.\nAnswer: t**(5328\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 234 + -96. Let j(k) = -d*k + 71*k + 65*k. Let x(u) = 1. Let s(c) = -9*c - 3. Let i(v) = -2*s(v) - 6*x(v). Calculate j(i(z)).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1054858, -1054889, -1054920, -1054951, -1054982?\n\"Answer: -31*f - 1054827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -590140.8 rounded to the nearest 10000?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 1, b: 1, d: 1}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t + 7. Let s(w) = -9*w - 8. Let d(j) = -6*h(j) - 5*s(j). Let n(u) = 2*u + 2. Give 3*d(y) + 4*n(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and 12.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h. Let m(p) = -4*p. Let g(b) = b. Let x(w) = -6*g(w) - m(w). Give x(k(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 1. Let s(a) = -a**3 + 8*a**2 + 18*a + 22. Let r be s(10). Sort r, w, 4 in increasing order.\nAnswer: w, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2200 by -25.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 3*y**2 + 3*y + 2. Let s be u(-2). Suppose s = 4*i - 3*i + 34. Let z = i + 64. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315725887 is divided by 608.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/1070932 and 13\/102.\nAnswer: 3212796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11769 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:00 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u + 51. Let g be n(16). What is the first derivative of 6 + 11 + 8 + 29*l**g - 16*l**3 wrt l?\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 3*j**3 + 4*j**3 + 6*j - 9*j**2 - 6*j**3 + 10. Let u be w(7). Let b = 8 - 2. Calculate the greatest common factor of b and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 - 318.5. Let i = -69 - w. Let h = -3 + 1. Which is the third smallest value? (a) -1\/2 (b) 2\/3 (c) i (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 28. What is p(-6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156173655 divided by -247.\nAnswer: -4680865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:52 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*k - 68*k + 41*k to h + a*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901911397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - y = 10 - 31, 0 = -2*j + y + 9. What is the units digit of (j\/(-4))\/(-5*(-9)\/(-17910))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 1 f when three letters picked without replacement from junfnaunnjjunuaunjj?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-7) - (-24)\/(-168). Let f(i) be the third derivative of 0*i**5 + 0*i**3 - 4*i**2 - 1\/12*i**4 + p*i + 0 + 1\/60*i**6. Determine a so that f(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2746805 to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 33. Calculate w(39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -125, -284, -507?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 79*c + 10216. Calculate k(69).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34825711357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 752221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 599245 and -1.2.\nAnswer: -719094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*b**4 + 358*b**3 + 4175*b**2 - 1?\nAnswer: 1248*b + 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5081476 divided by -334?\nAnswer: -15214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by 293\nAnswer: -223\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 26*g - 3. Let m(q) = -13*q + 1. Let z(j) = -7*m(j) - 3*w(j). Let a be z(-1). Let r be (-6 - a) + -5 + 1 + 1. Solve r*i = -1 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 1, 0, -2, 5648?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311267, -311266, -311265?\nAnswer: -311264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:56 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4738139\/68 + -69677. What is the common denominator of 113\/40 and q?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/4 + 45*w - 175\/4.\nAnswer: -5*(w - 35)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -31. Let h = c + 21. Find the second derivative of f**2 + 555*f**5 - f**h - 576*f**5 - 12*f wrt f.\nAnswer: -420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -693423451 + 683558088.394. Let a = z - -9865581.60599733. Let y = a - 219. Round y to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (8\/(32\/28))\/((-1)\/(-11)) and 49?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 3*u**2 + 2. Let j be x(-4). Suppose -2*r + 67 = 1. Let v = j + r. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160583741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17618566*t**3 + 936567*t**2 - 3?\nAnswer: 105711396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -484 or -483?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 79731073 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 44\/148651?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -7?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 2*i - 4.\nAnswer: 2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*o = 0, -2 = r - 4*o - 0. Suppose -3*n + 17 = 2*f, r*f - 9 = -2*n + 5. Solve y + f*y = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8570?\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 29*p = -1278. Let v = p + -209. Put v, -5, -3, -2 in descending order.\nAnswer: v, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqajdmq. Give prob of sequence qaqd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 smaller than 111342\/4721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 98 = 2*o - 0*o, -3*v = -4*o + 168. Suppose -3*t = 5*m - 217, 2*m - 181 = -2*m + 5*t. Which is bigger: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1429 + 1434. Solve 20 = -5*a, p*a + 6 + 14 = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 16*r + 1. Let v be a(-5). Let p(o) = o**2 - 7*o + 12. Calculate the smallest common multiple of 2 and p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = -7*y + 259. Put -201, -5, y in ascending order.\nAnswer: -201, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**5 - p**5 - 3*p**5 + 29*p**5 - 6*p**5 + 24*p**5 + (-3*p**3 - 5 + 5)*(-5*p**2 + 2*p**2 + p**2) + 3*p**5 + 8*p**2 - 8*p**2 - 4*p**4 + 4*p**4 - 2*p**5.\nAnswer: 56*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 194456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1469*s - 12 = 1466*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2 - 1. Calculate the remainder when (-2 - o) + 20 - 2 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*5 - sqrt(45) - sqrt(45) - (sqrt(45) + 1*sqrt(2880)))\/((sqrt(36)\/sqrt(4)*5 + sqrt(9))*3))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -663190.6 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000279901408 to six decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -11, 15 in increasing order.\nAnswer: -11, -5, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n + 3 = 3*d, 0 = -4*d + 5*n + 1. Suppose 4*s - 3*m = 376, 5*s + d*m = 5*m + 470. What are the prime factors of s?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1091 + 1104 + 3*l - 2194 - 14*l**2 to f + a*l**2 + v*l and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 27*i. Let z be 12 + -6 + -4*1 + 3. Suppose z*q - 5*w = 290, 0*w + 64 = q + w. Let x(n) = -q*n - 61*n + 123*n. Calculate x(s(r)).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -112053 (base 8) in base 16?\nAnswer: -942b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/12 + 2*h**2. Let c(s) = -3*s + 6*s - 4*s. What is v(c(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18006?\nAnswer: 2, 3, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3858, 2, 0.5, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 + -142 + 243 - (0 - 0 - 71).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -11*i**5\/20 + 11*i**4\/12 - 6*i. Find the third derivative of j(d) wrt d.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3047*b**3 - 902*b**2 wrt b.\nAnswer: 18282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631462703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 347908155 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*1\/(-2) - (2 - 6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3094876699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*i - 1199 - 1285 = 34*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(122\/3357440). Calculate the greatest common factor of 86 and t.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -84, -200, -362, -570?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 179\/15 + -53\/5. Factor 0 - k*m + 2\/3*m**2.\nAnswer: 2*m*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -97168 divided by -2?\nAnswer: 48584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose p - i*p = -4. Suppose 6*h = h - 5*u, -5*h + 2 = p*u. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.2 + 13. Let y = s + 5.2. Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 8*w**2 - 7*w + 4. What is q(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0 - 6 = 0. Let z(k) = -k**2 - 6*k + 7. Let r be z(n). Suppose 29 = w + r. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:59 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -596, -2365, -5312, -9437?\n\"Answer: -589*x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 89 = 17. What is the remainder when 179 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324146?\nAnswer: 2, 41, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-12) + (-406)\/174?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 270 + -263. Let r(n) = 3*n - 5. Let k(w) = 4*w - 7. Let i(d) = z*r(d) - 5*k(d). Let g(o) = 159*o**2. Give g(i(t)).\nAnswer: 159*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230344613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10129*u**2 + 2*u + 9368*u**2 - 18952*u**2 to t + z*u + o*u**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15544 + 2379. What is r rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 1.85. Let v = 2 - j. Let b = 19 - 16. What is the third biggest value in v, b, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7406*w + 7949*w + 4344 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**7\/14 + 17*v**6\/20 - 349*v**5\/100 + 51*v**4\/10 - 18*v**3\/5 - 6*v**2. What is i in t(i) = 0?\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198757988 and 968?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -127.46.\nAnswer: 3.8238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6285, 6284, 6283, 6282?\nAnswer: 6281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 6*q**2 - 98 - 95*q**2.\nAnswer: -101*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 138*t + 135*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27229766\/(-1432) - (-7 - 46\/(-8)). Let t = v - -19014. What is the common denominator of 113\/10 and t?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:50 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (280\/(-104))\/(-47 + 17690\/377)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111120 and 4320?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -13 (c) -209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*g + 6 = 6*g, -4*a = -4*g - 24. Sort -248, -4, a, 0.\nAnswer: -248, -4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/255*3*1\/14*-49?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1 = 3*r - 4*f, 2*f = 3*r + 5. Let a be (-3)\/r + 3\/3. Solve 0*d + a*d = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8981039 to the nearest integer?\nAnswer: 2997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, 3, -0.5, 0.1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.8 + -48.2. What is the nearest to 0 in -90, r, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-148)\/6*(-9)\/(-6). Let g be 0 - (1 + 1) - x. Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81155430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 25*g**2 + 155*g + 18. Give q(10).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -180 (base 9) to base 5\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, w: 1, k: 1, d: 1}. What is prob of sequence wp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*r - 1, -3*o + 8*o = 4*r + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/21 - 40*b**4\/7 + 500*b**3\/21 - 760*b**2\/21 + 170*b\/7 - 128\/21 = 0.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 7665 = -4781. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f**3 + 216*f**2 - f + 32. What is g(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 6.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -37 (b) 5 (c) 0 (d) 6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/((sqrt(36)\/sqrt(2))\/sqrt(3) + sqrt(6) + sqrt(6))*-2.\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 5) to base 7\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -34, 9.9 in increasing order.\nAnswer: -34, -32, 9.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-6 - -4 - 24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 48 + 150. What is the remainder when 85 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 16 = 5*z, 12 = 2*w - 13*z + 12*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -46 (b) 0 (c) 2\/7 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 55627, -7 in decreasing order.\nAnswer: 55627, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -799 * 0.0043.\nAnswer: -3.4357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 203*g**2 + 401*g + 165. Determine l(201).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, r: 1, w: 11}. Give prob of picking 2 w and 1 r.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.99999918 - -3. Round a to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7))**37\/(b**(3\/2)\/((b*b**(-1\/4)*b)\/b)) assuming b is positive.\nAnswer: b**(275\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10*x**2. Let d(s) = -1. Let k(f) = -2*f - 1. Let l(h) = -d(h) + k(h). Calculate l(n(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011222 - -20?\nAnswer: 2012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 + 0 + 0 - 34*f**4 - 18*f**4 + 28*f**4 + (2 + 2 - 1)*(-21*f**4 + 151*f**4 + 21*f**4) to the form b*f**2 + l*f**3 + n + x*f + k*f**4 and give k.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/6 + t**2\/2 - t. Let c(h) = -123 + 125 - h + 0*h. Suppose 5*y = -2*w - 16, w + 10 = y - 3*w. Calculate y*a(s) + c(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*v**2 - 9 + 25 - 91*v + 91*v**2 - 16 as s*v + b*v**2 + h and give b.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -396 + 407 + (2 - -1 - -7)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m\/(m*m\/(m**(-6\/11)\/m)*m)))\/m)*m)**(-23))**(-38) assuming m is positive.\nAnswer: m**(-14858\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 8, 19, 34?\n\"Answer: 2*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 9322 - 19266. List the prime factors of f.\nAnswer: 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73184492 by -18296123.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 3*y - 5. Let c be (-1)\/((-9)\/(-4) + -2). Let p be f(c). Suppose -p = -2*x - x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(171) - (sqrt(171) - (sqrt(171)*1*5 - sqrt(171)))) + sqrt(171))\/(sqrt(144)*1).\nAnswer: 4 + 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2 + 2)*(16 - 52 + 20)*(9 - 6 + 4).\nAnswer: 224*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*v**3 + 13598*v**2 + 335*v**3 + 29642*v**2.\nAnswer: -3*v**3 + 43240*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -7984.\nAnswer: 7982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15610665 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-11)\/(264\/80)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwggggwwrggdggw. Give prob of picking 1 r, 1 w, and 1 g.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 157503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-10) + -10 + (-10 - (81 + 8))\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 6. Let b(g) = g**3 - 4*g**2 + 4. Let f be b(3). Let w be v(f). Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40817?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s. Suppose s*b - 3 = -b. Suppose 4*a - 2*a**2 - b*a**2 + 3*a**2 = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 12*o**2 - 12*o**2 + 25*o**2. Let l(y) = 1136*y. Calculate l(n(s)).\nAnswer: -1136*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 153*b**3 - 54*b**3 - 45*b**3 - 53*b**3 - 5*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/(-221) - (-120)\/(-104). Suppose -6 = -f + 4*k, f + 10 = 2*k - 6*k. Calculate the lowest common multiple of 9 and (s - f)*-1*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 8 = 0, -15007*u - 11 = -15004*u - c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*t = -92412, 3*a - 110890 = -3*a - 2*t. Is 201 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -692, -721, -754, -791?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 5 + 10*a**2 + a + 5*a**3 - 6*a = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - (-3 - -4)) - ((38 - -25) + -26).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - 5*g + 1. Suppose 5*c - 50 = t + 45, 0 = t. Suppose 0 = -5*w + 6 + c. List the prime factors of f(w).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115404.1 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*x**2 + x**4 + 3*x - 53 + 92 as y + t*x**3 + k*x**4 + s*x**2 + z*x and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18754, -37508, -56262, -75016, -93770?\nAnswer: -112524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -45376a?\nAnswer: -45376b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 43 = -11*j - 225 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 402 + 1053. List the prime factors of (-140)\/(-2 - -7 - h\/285).\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 4) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27836901.\nAnswer: 3, 3092989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 223930 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:20 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2 - 26054*f + 1090740 = 0.\nAnswer: 42, 12985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5504112.83 rounded to the nearest 10000?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86334661 - 0?\nAnswer: 86334661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972108 is divided by 121512?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -945*m + 782*m = -67808. Are -2\/21 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 6*v**3 - 3*v**2.\nAnswer: -3*v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 410, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + (sqrt(833) + 0)**2 + sqrt(833) + -2 - (sqrt(833) + (sqrt(833)*-2 + -1)**2).\nAnswer: -2502 - 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:21 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3558 = -4*g + 8*g - 3626 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 40*a + 120. Let t be r(-3). Solve f + 104 - 102 = t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 4) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22503.077*0.3.\nAnswer: 6750.9231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340 - -102440?\nAnswer: 102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 19.2, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2 - 62322*c = 0. What is c?\nAnswer: 0, 20774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3 - (-100)\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 1842, 4626, 8542, 13596?\nAnswer: 19794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 + 8*f - 3. Let c(i) = 28*i - 93. Let n(g) = -13*g + 43. Let p(w) = -6*c(w) - 13*n(w). Calculate -3*p(v) + u(v).\nAnswer: 3*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*o + 60 = 147*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14820570, -29641145, -44461720?\n\"Answer: -14820575*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 55, 116, 207, 328, 479, 660?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 70189 and 2?\nAnswer: 70187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -3160.635\nAnswer: -9481.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:17 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 28, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2)\/(81\/108). Let i be (0 - 1)*(-2 - 0). Let p = i - c. Is p less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 + 458 = -75*p - 1263 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 8\/(-6) - 2. Let g = -4.8197 - 0.1803. Which is the closest to 2\/11? (a) 3 (b) 4 (c) n (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) -2 (c) -3\/4 (d) 60 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -30*v + 26. Let f be t(1). Let r be ((-111)\/2)\/(9\/(-12)). Put 4, 0, r, f in descending order.\nAnswer: r, 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y = -35*y. Suppose y = -16*g + 2*g + 294. Let f be g\/2 + (-1)\/(-2). Solve -9 = 5*t + f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 118*(9\/(-6))\/(-3). Let b = 5318 - 5259. What is the highest common factor of z and b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113 from -0.12.\nAnswer: -113.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3215246899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 16*s + 9 = 0. Factor 5*o**2 + 3*o**4 - 23*o**3 + o**2 + 32*o**s.\nAnswer: 3*o**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-2080)*-65*(-1)\/((-3)\/11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102101 + 1?\nAnswer: 11102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1740*r - 2000*r + 8580 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13386 + -6663. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2574)\/4 + 3)*67\/(2814\/(-216)) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = 518. Let c be (-383)\/(-1)*((-504)\/(-630) - (-9)\/(-5)). Let y = d - c. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 2)*(20*b + 14*b + 3*b).\nAnswer: 185*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1753296*m - 208. Let c be n(2). What is c rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, -6, 6\/7, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 638, 637, 636?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 > -269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 9, -23757 in descending order.\nAnswer: 9, -2, -5, -23757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(16*l - 16*l - 13*l**3) + (4*l**2 + 0*l**2 - 3*l**2)*(4 + 3 - 1)*(0*l - 2*l + 0*l).\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7864664, 15729328, 23593992, 31458656, 39323320, 47187984?\n\"Answer: 7864664*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 537 - 330. Let f = p - 332. Let t = f - -124.99999832. Round t to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-12)\/(6\/2). Let c be 12\/42 + (-906)\/(-14). Suppose -p = 4, p = -3*v + c - o. What is the remainder when 40 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 570?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20188572263 take away -0.05?\nAnswer: -20188572262.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 12*f - 10. Let a(c) = c - 1. Let d(r) = -18*a(r) + 2*u(r). What is the tens digit of d(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 663\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + 8 + 0*l**2 - 2 - 19*l**2 + l**2. Let i(r) = 30*r**2 - 14. Let m(c) = -6*i(c) - 14*z(c). Let u(n) = -n - 60. Calculate u(m(w)).\nAnswer: -2*w**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19 - ((14 - -6) + -15 - 14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0804165g in micrograms?\nAnswer: 80416.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1590 - 1236. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8673329 and 3651928?\nAnswer: 69386632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 88 + 12. Solve 0*n - q = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = f - 2*j, -f + 4*f + 5*j - 10 = 0. Suppose 9 = -f*h - 1. What is the nearest to h in 1, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*m + 1155*m = 360*m - 47675 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 960 and 19630880.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*d, -3*d - 3*f = -0*d - 6. Suppose 0 = 2*b + 2, 0 = -3*o + 7*b - 2*b + 785. List the prime factors of ((-6)\/(-15))\/(d\/o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 - -42 - (2 + 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(156\/(-1084)) + (-30)\/(-195). What is the greatest common factor of 329 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q. Let l(d) = -d**2 + 6*d + 4. Let p be l(6). Give z(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-3 + -1)) + 0. Let x = -29 + 21. Let i be (4\/x)\/((-5)\/4). Which is the closest to i? (a) -2 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3236\/8090*170*(-30)\/24.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (0\/4 - -2). Let c be 1\/m - (-38)\/42. Solve 0*z - 2\/7*z**3 + 0 + 0*z**2 - 2\/7*z**5 - c*z**4 = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 220 - 2*f**3 + 128 + 7*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 - 2.4. Let b(k) = -k**3 + 2*k**2 + 4*k - 2. Let f be b(3). What is the nearest to 2 in -5, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/1070217847 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10440310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.00883.\nAnswer: -0.03532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/3 + 18. Let t(p) = -4*p**2 - 2*p. Calculate -6*l(i) - t(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 2a03?\nAnswer: -2a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902970 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: Suppose 3*d + 5*m = -12 - 28, 0 = -3*d + 2*m - 5. Let x(j) = 2*j**3 - 2*j**3 - j**3 - 5*j - 6*j**2 + 2. Determine x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 150, 198, 238?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2323 (base 4) to base 6.\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 14*o**2. Let k(r) be the second derivative of -r**7\/1260 - 5*r**4\/6 + 8*r. Let p(w) be the third derivative of k(w). Determine p(d(s)).\nAnswer: -392*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y = -26*y - 153366. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 85.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s + 7*s**3 + s**2 + 5*s - 9*s**3 to the form u*s + x + c*s**3 + a*s**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550194.\nAnswer: 2, 3, 107, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 0*s + 0*s - 4 + 4*s - 6*s. Let i be d(-3). Solve 0 = i*a + 9 - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3333210331 (base 4) to base 7\nAnswer: 11620012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11685, 11621, 11557?\n\"Answer: -64*y + 11749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -26bb329 (base 13) to base 7\nAnswer: -205604366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -13) + -2 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 324022499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42212 - 42232. Which is the closest to -1\/3? (a) 1\/7 (b) -1\/2 (c) -3\/4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 25 = -2*y, -29 = -3*y - x + 36. Solve -5*o - y = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b + 1 = 2*y + 20*b, 4*y - 4*b - 20 = 0. Solve -3*k - y*d - 5 = -4*d, -4*d - 35 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35391, -4, 1, 5.\nAnswer: -4, 1, 2, 5, 35391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6*n - 2*m + 10, -4 = 4*m. Let w be (n + 0)\/(72\/(-48)). Which is the smallest value? (a) -1 (b) -0.3 (c) w (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x - 4*r, -3*x - 14 = -5*x - 2*r. Let p(k) = -11*k - 6. Let j(m) = 0 + 3 - 5*m - 6. Let l(b) = x*p(b) - 7*j(b). What is l(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 13*k**5\/20 + 32*k**4\/3 + 94*k**3\/3 - 16*k**2 + 6*k - 11. Factor p(x).\nAnswer: (x + 2)*(x + 8)*(13*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j. Let o(d) = -360*d**2. Let u(p) = -9*p**2. Let f(a) = 4*o(a) - 162*u(a). Give x(f(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) + 16\/(-18). Let k = -1 + 0. What is the nearest to -1 in -2, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2 and -19\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 18*y + 22 = 0. Suppose 27*p - y*p = 200. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5822e - -5?\nAnswer: -58229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/7))**(-1\/22)\/(f**(-3\/4)\/f**(-3)))**(-6\/11) assuming f is positive.\nAnswer: f**(2073\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195321482.\nAnswer: 2, 19, 67, 76717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(2 - (-238)\/(-85))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjljljjjjjbllljllj. What is prob of sequence bjj?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -606 - -737. Solve 0 = 2*m + 125 - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/5 - (24 - 21). Let o(p) be the first derivative of 0*p**2 - t*p**5 + 0*p + 0*p**3 + 2 + 0*p**4. Let o(u) = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81699 and 1246934.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280 + -279. Let t be (-13)\/(-22) - (-2)\/4. Which is bigger: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t**3 - 2*t**2 - 2. Let d(o) = -150*o**3 + 78*o**2 + 42. Let x(w) = w**3 + 5*w**2 + 1. Let s(k) = d(k) - 9*x(k). Determine -2*s(f) - 33*z(f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 210\/(-175) - (-243)\/15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233232 (base 4) to base 2.\nAnswer: 101111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/15*(-940)\/282*(-3)\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970419196.\nAnswer: 2, 71, 163, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19899\/5044 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 134113?\nAnswer: -134123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/14))**(-5\/7)*(r**(2\/7)*r)**(16\/9))**(29\/3) assuming r is positive.\nAnswer: r**(6931\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2544.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*m**2 - 4 - 6*m + 179*m**2 - 2*m**3 - 2*m**4 + 4 in the form c*m**4 + r*m**3 + p + x*m + w*m**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -23\/2, 21, 1, -33\/208 in ascending order.\nAnswer: -23\/2, -2\/11, -33\/208, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8508 + -0.71953. Round x to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 110*w = 105*w + 27, -w = -4*d - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17*y. Let p(z) = 0*z + 23*z**2 - 21*z**2 + 20*z**2 + 0*z. Determine p(v(d)).\nAnswer: 6358*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4691 + -5463.92. Let x = f - -790. What is x rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + w**2 - 4*w - 1. What are the prime factors of z(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*k + 4*r = -1, -23 = -4*k + r. Solve -k*w + 4*w - 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - (sqrt(209) - (-5*sqrt(209)*-3 + sqrt(209) + sqrt(209) - sqrt(209) - sqrt(209)))))\/sqrt(11).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1053) - sqrt(1053)) + 4)**2 + ((sqrt(468) - (sqrt(468) + sqrt(468)*1)) + -3)**2.\nAnswer: 36*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -3. Let r(v) = -v**3 + 9*v**2 - 9*v + 10. Let q be r(8). Do q and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z - 396 - 4159 = 107*z - 739 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/2 - 15*a**3\/2 = 0. Calculate a.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 5692, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -67*j - 132. Let m be t(-2). Factor -5\/2*x**m + 1 + 3\/2*x.\nAnswer: -(x - 1)*(5*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67875180 rounded to the nearest 100000?\nAnswer: 67900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -5\/3 (c) -942\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18753412 divided by -2\nAnswer: 9376706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -3*b**2 - 1\/6*b**3 + 1\/8*b**4 + 0*b + 0. Determine c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*k**3 + 4*k**3 + 4 + 4 - k to p*k**2 + q*k + i*k**3 + f and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -22*y. Let t(i) = -2590*i**2. Determine m(t(f)).\nAnswer: 56980*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 17. Does 9 divide 34 + 1 + l + -8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728516 is divided by 1747?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 1 m when three letters picked without replacement from {b: 1, i: 12, w: 1, m: 1, d: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(13\/((-507)\/13))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 398060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 16, p: 3}. What is prob of picking 1 p and 1 r?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533932588?\nAnswer: 2, 7, 19069021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -12, -1, 34, 9, -3 in decreasing order.\nAnswer: 34, 9, 1, -1, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 29*p - 30*p - 64 = 0, -3*h - 4*p = -171. Let q = h + 294. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1114*d - 6808. List the prime factors of f(-39).\nAnswer: 2, 7, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -226 and -219 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 2602413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = -2. Round a to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.24 (b) 5 (c) -5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966005.\nAnswer: 5, 193201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w + 27. Find the second derivative of z - 5*z + w*z - z**2 wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -20. What is the least common multiple of (2 + z\/(-2))*4 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**5\/7 + 150*f**4\/7 - 21*f**3 = 0?\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 0 in ascending order.\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 4*p = 19, -55 = 207*k - 202*k + 2*p for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1003834757 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + 2\/3. Let j = -1.3 - -0.2. Let s = 0.8 + j. What is the second biggest value in s, -1, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400\/4200*52\/39*(-7)\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -193211 less than or equal to -193210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14140930.\nAnswer: 2, 5, 53, 26681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691 is divided by 57?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, o: 2}. What is prob of picking 3 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17131 is divided by 131.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**2 - 2765*h - 5621. Calculate r(-344).\nAnswer: -1149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 12. Let w(h) = 2*h + 4. Let y(b) = 4*m(b) + 11*w(b). Let j(u) = -u. Calculate -8*j(f) - y(f).\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.138627 + 1.138. What is y rounded to five decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1169 - -1049.2. What is f rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 58 = 6*c - 2*c, -4*t + 75 = 3*c. Suppose 0 = -t*x + 19*x - 4. Suppose 19 = x*n - 13. What is the remainder when 12 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2199 - -2201. Let c = -141 + 100. Let i = 5 + c. What is the second biggest value in i, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**(2\/5)*w*w))*w*w**(-2))**(-5))**(2\/103) assuming w is positive.\nAnswer: w**(-16\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - t - 3*t + (-2*t + 5*t - t)*(-3 + 1 + 1) - 14*t + 51*t + 13*t.\nAnswer: 47*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:20 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 14*c - 10 = -5*i, -4*c = -20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11348*h = 11338*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 - -24?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-3\/8)\/(u*u**11*u**(-2\/27)) assuming u is positive.\nAnswer: u**(-1207\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1682825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-4))\/(12\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x + 45. Let h(w) = -4*w + 63. Let d(m) = -7*g(m) + 5*h(m). Let z(q) = -67*q**2 - 4*q. Give d(z(b)).\nAnswer: -67*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45276 and -14.\nAnswer: -633864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*u - 86143 + 42515 + 41912 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17012408.86 rounded to the nearest one thousand?\nAnswer: -17012000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5*s - 6*s + 0 + 6*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 9:39 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208905*s**6 - 26*s**5 + 185008845*s**2 - 2*s?\nAnswer: -25068600*s**3 - 1560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236091\/2 or 118047?\nAnswer: 236091\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*w + z - 1, 5*w - 4 = -z. Solve 3*k - 2*o + 25 = w, 0*o = k + 4*o - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l. Let v(x) = 2*x + 1. Let b(a) = -1. Let z(u) = 3*b(u) + 3*v(u). Calculate r(z(y)).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15316532 is divided by 143145?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 26*u + 71. Let y be s(23). Put -1, -10, y in descending order.\nAnswer: y, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3168 - -3192. Solve -b = 4*w - 28 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9149 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918*b + 2295*b + 1653*b + 31*b.\nAnswer: 4897*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11406.\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170680.45 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/12 - 14942\/51333. What is the third smallest value in 2\/5, 0.2, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00122218 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*u - 10 = 0, n - 4 = -5*u - 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13431.69 + -0.2\nAnswer: -13431.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -k - 4*k. Suppose -3*c - 1 = -z + 1, -2*c + 7 = z. Let a(h) = -5*h**2 + 2 - c - 3*h + k*h**2. What is a(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -46.6. Which is the smallest value? (a) g (b) -1\/4 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 33?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*4\/(-40)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66730520, -66730519, -66730518, -66730517, -66730516?\n\"Answer: t - 66730521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 4:54 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.0079 millimeters in centimeters?\nAnswer: 87.90079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k + 38*k = -3280. Let l be 2\/4 + 249\/(-6). Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5898, -4, -7 in decreasing order.\nAnswer: 0, -4, -7, -5898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-29)\/((-3132)\/(-45)))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 157, 261, 391, 559, 777?\n\"Answer: 2*w**3 + w**2 + 87*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(-1)\/(-5)*(-1664 - (-2 + 6))?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*c - 610*c + 225*c + (4 - 3 - 2)*(-c + c - 2*c) + (2*c - c - 3*c)*(4 + 4 - 9) in the form v*c + k and give v.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -1.84 (b) 0.0155 (c) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-4)\/(-20)*105\/378. Which is the fourth smallest value? (a) -0.04 (b) 12 (c) i (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(85) - sqrt(85))*-5 + sqrt(85) + 5*2*sqrt(85))\/((2*sqrt(180) - -2*sqrt(20)\/sqrt(4))*2).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(76)*3)**2.\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -1\/3*o**3 + 5*o**2 + 0 - 20*o + 13\/12*o**4. Let z be d(14). Round z to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 15355017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 86 + 24 = -45*c + 48*c, -o + 3*c = 100 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 650 = -90. Let q = 104 - z. Suppose 2*r + 2*w = -2*r + q, 2*r - 3 = 3*w. Calculate the smallest common multiple of r and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 9*n + 5*r = -7, -2*n - 12 = -4*r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -385 + 379 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 463551 and 5577?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 134302 (c) -0.4 (d) 3 (e) -2\/17 (f) -1\/3 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 32*b**2 - 11*b - 20. What is the lowest common multiple of 39 and r(-2)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363 by -11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.99704 kilometers to meters.\nAnswer: 95997.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2202 - -2228. Solve 0 = 5*k - j - a, 3*k + j = 19 - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -128, 1\/4, -82, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 18*n**2 + 0*n - 18*n**2 - 11*n**3.\nAnswer: -11*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -166?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 23 = 3*t. Let z = t - -8. Let n(f) = 8*f. Let k(j) = 7*j - 1. Let a(b) = -5*k(b) + 4*n(b). Let h(x) = x - 2. Calculate z*a(d) + 5*h(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59315, -59310, -59303, -59294, -59283, -59270?\n\"Answer: b**2 + 2*b - 59318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -50*m**3 + m. Let l(y) = 3 - 4*y**2 - y + 12*y**3 + 4 + 3*y**3 - 16*y**3. Let w be l(-3). What is f(w)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 2. Let r be ((-12)\/15)\/((-2)\/20). Let g be d(r). Let w = 43 + g. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13813 + 23973. What are the prime factors of n?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1942253048\/(-6))\/(154\/(-777)). Let r = d - 50663670572521\/31020. Let f = r + 1\/3102. Find the common denominator of -59\/10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 875, 1128, 1379, 1628, 1875, 2120?\n\"Answer: -r**2 + 256*r + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 833713.9m in nanometers?\nAnswer: 833713900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, -0.4, 1.61, 6\/5.\nAnswer: -0.4, 6\/5, 1.61, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mumummummmmmmmm. What is prob of sequence mumu?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 10*g + 25. Let l = -35 - -23. Let n be t(l). Let y be -4 + n - (-17)\/5. Which is the nearest to y? (a) 4\/3 (b) -0.2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 697061491 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-5)*5 - 2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9144897 and -9144898 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/(-5)*70\/(-28). Suppose -73 = q*o - 22. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23454851\/165 - 142150. Let x = s + -6\/11. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m + 2. Let t(b) = 14*b + 6. Suppose 3*g + g = 0. Suppose g = 2*p + 10, 0 = 5*d + p - 0*p + 175. Let a = d - -37. What is a*t(x) - 8*k(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 - -95.6. Which is the nearest to 1? (a) j (b) -0.5 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/3)\/((-32)\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -74. Suppose -c*z = -123 - 0. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-294) - (-1)\/(-3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4 + 13 - 2 + 3 + 38107*j. Let h be r(5). Suppose -y = -26545 + h. What is y rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofgoostccctototgogts. What is prob of sequence fo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -1.8. Let p = s + 4.5. Let l = p - 6.1. Sort l, 2, -0.3 in decreasing order.\nAnswer: 2, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-755)\/(-2567))\/((-6)\/(-34))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321879 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-24)*18\/(-4). Let t = -9 - -11. What is the third derivative of -d**2 + 7*d**2 - v*d**t - 10*d**6 wrt d?\nAnswer: -1200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 314, 631, 950, 1271, 1594, 1919, 2246?\n\"Answer: x**2 + 314*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/17 + 4*s\/17 - 48\/17 = 0. What is s?\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399088279.\nAnswer: 107, 3729797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 1\/20*j**5 + 0 - 1\/6*j**3 + 5\/6*j**4 - 26*j + 3\/2*j**2. What is the tens digit of b(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1371*a - 18*a**2 - 14*a**2 - 1366*a + 87 + 2732*a + (a - 1 + 1)*(1 - 2*a - 1).\nAnswer: -34*a**2 - 5*a + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukullklllkculcckc. What is prob of picking 3 u?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 346\/18 + (-10)\/45. Suppose -4*v - 5*c - 25 = 0, -v - 4*c = g + 1. Solve -q = -v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -981\/20 - -49. Is -1 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/2, -5.17, 4\/3, -0.4.\nAnswer: -5.17, -0.4, 4\/3, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 17*k**2 - 29*k - 34. Calculate the remainder when 286 is divided by y(14).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108 * 166119.\nAnswer: 17940852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 52*l + 354. Give m(-57).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 45*w - 141. Give l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.117 + 0.117. Suppose -2*j + 3*h + 17 = -2*h, -j - 2 = h. What is the smallest value in q, j, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l - 1724 + 2*l + 1712 + 4*l. Let w(h) = -h**2 + 7*h - 4. Let c be w(5). Let n be b(c). Let p(s) = s**3 + 6*s**2 + 2*s - 1. Give p(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 8 = 37*y. Let c(t) = 83*t**2 + 89*t**2 - 339*t**y + 87*t**2 + 84*t**2. Let m(o) = -122*o. Determine c(m(p)).\nAnswer: 59536*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -667959, -1335874, -2003805, -2671758, -3339739?\nAnswer: -4007754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44115 divided by -2?\nAnswer: 44115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*b = -50, 4*b = 4*m - 6 + 58. Let w(a) = -3*a**2 + 5*a + 1. Let n be w(4). Let i = m - n. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/70)\/(2\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 8 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12\/11)*d\/(d*d**18))\/((d**(-2\/17)\/d*d)\/d**(-17)) assuming d is positive.\nAnswer: d**(-6727\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -7\/2 (b) 0 (c) 3\/62 (d) -22 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 h, and 1 j when four letters picked without replacement from {y: 2, j: 3, w: 3, u: 5, h: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f\/((f\/f**(-2\/15))\/f))\/f)\/f**9 assuming f is positive.\nAnswer: f**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 38350000 to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -2, -1, 1 in descending order.\nAnswer: 1, -1, -2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51290, -102546, -153802, -205058?\nAnswer: -256314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 12*4\/40)*15. Suppose -24*x + 25*x - w = 0. Calculate the least common multiple of 42 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799953 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 955 = 3*s. Let p(u) = -25*u**2 - 5*u - 9. Let r be p(-2). Let c = s + r. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 - 7*w + 13. Let n(r) = 4*r**2 + 4*r - 7. Let f(i) = 7*n(i) + 4*v(i). Let c(m) = -36*m**2 + 28. Calculate 3*c(x) - 28*f(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6559004*f**2*t**3 - 435709*f*t**3 + 3*f*t**2 wrt f?\nAnswer: 13118008*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k - 90613 = -27*k. Is 77 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108 or -105?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1099*s + 87. Let t(i) = i - 17. Determine -c(y) - 5*t(y).\nAnswer: -1104*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 46*q + 68. Let j(o) = o**2 - 38*o - 67. Let c(y) = -3*j(y) - 4*n(y). Factor c(z).\nAnswer: (z - 71)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1\/8, -4\/7, 59?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 7:57 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -5 (c) 4\/35 (d) -2 (e) 4 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, r: 3, o: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51 - 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 10. Suppose 0 = 3*n - t*n. Let c be (0\/(-1))\/(1 + n). Solve p - 8 = 3*s, c*s - 5*s = -5*p + 30 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*t**2 + 70*t**2 + 55*t**2)*(0*t - 2*t + 3*t + (-3 + 3 - 2)*(-4 + 4 + 2*t) - t + 3*t - 3*t).\nAnswer: -400*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbbb when four letters picked without replacement from {n: 17, b: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9970 + 12694. Is x a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -615525, -1231066, -1846601, -2462130, -3077653, -3693170, -4308681?\n\"Answer: 3*c**2 - 615550*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -39037.\nAnswer: -39035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -117*o**4 + 63*o**4 + 23 + 55*o**4 + 70*o + 26*o**3 + 72*o**2.\nAnswer: (o + 1)**3*(o + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*g**6 + 127*g**3*p - 4*g**2 - 5095*g*p wrt g.\nAnswer: 5160*g**3 + 762*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/8733659?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 27*x - 30. Let k(i) = -i**2 - 54*i + 60. Let j(c) = -5*b(c) - 3*k(c). Solve j(o) = 0 for o.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 6 (c) -1.1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -12.928. Let a = 2.828 - m. Let j = a + -7.2. Round j to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p + 315 = 23*p. Is 1\/2 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + ((-1615)\/42 - (-19 + 21)). Let j = 116\/3 + h. Sort -0.3, j, -2\/5 in descending order.\nAnswer: j, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0*n**2 + 385 - 386 + 2*n**2 - 7*n. Suppose -2*v - 9 = 1. Let j(i) = -2*i**2 + 6*i + 1. Determine v*o(d) - 6*j(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2717a8 (base 12) in base 11?\nAnswer: -401122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/54 - 7*m**3\/27 + 8*m**2\/9 + 6*m. Let l(q) = 0. Calculate q.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Suppose -3*o + 6 = -6. Let n(g) = -6*g + o*g + 2*g - g. Calculate n(b(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Suppose 4*t = a - 18, -t - t + 26 = 3*a. Calculate the lowest common multiple of g and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(242)*-2 - (5 + (sqrt(242)*1)**2))*2.\nAnswer: -502 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 81 = -10*x. Solve d + 2*d = -x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let o(z) = -2*z - 2. Calculate o(t(a)).\nAnswer: -4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 49. Let c = b + 2. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, -3444, 4, -2.\nAnswer: -3444, -2, 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 minus 52?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**3 - 2*o + 4. Let r(m) = 3*m**3 - m + 2. Let q(b) = -b**2 - b + 28. Suppose 0 = -11*g + 7*g - 24. Let k be q(g). What is k*y(j) + 5*r(j)?\nAnswer: j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5 = -15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsrrssrrrss. Give prob of sequence rr.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-44)\/385)\/(6\/7). What is the second biggest value in 0.08, 1\/7, 5, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-944)\/708*6\/(-4)*(-2750)\/(-100).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3999 + 4006. Solve -20*n + z = -13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 6*g**2 + 25*g - 94. Let s be x(5). Put 2, s, 0.3 in descending order.\nAnswer: s, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - -0.91. Let s = 2.7 + 4.3. Let k = s - 6.9. Which is the nearest to v? (a) k (b) 2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30\/7 (b) 1\/10 (c) 2529 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.7. Let n = p - 1.1. Let u = -0.1 - n. Is u at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -627*x**3 - 2*x**2 - x - 1. What is the tens digit of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a - 162. Let b be d(18). Solve -z - 3 = b, 5*k + 6*z - z = -10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 116\/27*d**3 - 29 + 1\/45*d**5 + 3*d + 0*d**2 - 59\/27*d**4. Factor b(h).\nAnswer: 4*h*(h - 58)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 12*y - 6. What is the tens digit of f(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 697*5.\nAnswer: 3485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(252) - (sqrt(252) - (sqrt(252) - 1*sqrt(252))) - sqrt(252)) + sqrt(252))*-1)\/(-1*1*(sqrt(9) - (sqrt(9) - sqrt(225)))*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 595 or 5363\/9?\nAnswer: 5363\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30011557 to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 575*i. Let d(c) = 2*c**2 - 580*c. Determine -5*d(g) + 6*v(g).\nAnswer: 2*g**2 - 550*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 15 = -4*a, 0 = 4*q - a - 39862. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -4. Let n = 0.6361 + 14.3279. Let k = l + n. What is k rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 22809224*q + 32516293717636 = 0. Calculate q.\nAnswer: 2851153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + 1*sqrt(21))\/sqrt(7) + sqrt(432)*1.\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5 - 56*p**4 + 156*p**3 + 170*p**2 - 589*p + 318 = 0.\nAnswer: -2, 1, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 23 = -3*c, 3*k + 12 = -3*c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 159*b**3 + 8262*b**2 - 131220*b - 472392.\nAnswer: (b - 54)**3*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310570190 + 310570190 + 53*c.\nAnswer: 53*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 36 + 16 + t + 57*t**2 + 10 as g*t + z*t**2 + l and give z.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2586 divided by -3?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17468 is divided by 2909.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 3*u - 8*u + 0*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -202, -4, 4989.2?\nAnswer: 4989.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2779\/664 or -1?\nAnswer: 2779\/664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/660 and 19\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 21*q**2 - q - 2. Let x(w) = -78*w**3 + 116*w**2 + 6*w + 14. Calculate -6*j(z) - x(z).\nAnswer: 90*z**3 + 10*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6897240 and 135240?\nAnswer: 6897240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let m(l) be the third derivative of 337*l**4\/4 - 1646*l**2. Determine m(y(q)).\nAnswer: -4044*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2 + 1, -309 = -2*r + 3*k. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-4)\/((-8)\/93)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8849, 17691, 26531, 35369, 44205?\n\"Answer: -v**2 + 8845*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**3 - 2. Let k(h) be the first derivative of 0*h**2 + 57 + 0*h + 4\/3*h**3. Give o(k(j)).\nAnswer: 48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zta when three letters picked without replacement from {a: 1, t: 6, z: 3, j: 3, c: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.76 (c) 466536\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 3d10?\nAnswer: -3d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 59, -3, -395660 in descending order.\nAnswer: 59, -2\/5, -3, -395660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, w: 3}. Give prob of sequence ww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136604 is divided by 6504?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 21*f - 15. Calculate r(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (114\/27*2)\/(2\/120). Let c = 521 - v. What is the common denominator of c and 341\/22 - 6\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.9 + -24. Let f = 6 + -8. Let m = f + w. Which is the nearest to -1? (a) -1\/3 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/10)\/((-8)\/((-13000)\/13)). Suppose y*g = 35*g + 39*g. Which is bigger: 11 or g?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5728*s**5 - s**4 - 18622*s**2 - 27*s?\nAnswer: -343680*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/((sqrt(40)*-2 - sqrt(40))\/sqrt(4) + sqrt(10) - sqrt(10)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 54432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212040301 (base 5) to base 11.\nAnswer: -167453a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 36. Let b be j(12). Suppose -2*z = 4*g - b, 36 = 4*z - g + 5*g. Suppose 10*n = 13*n - z. Solve 0 = -4*o - w + 20, 4*w - n*w = -o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2790, -2912, -3106, -3366, -3686, -4060, -4482, -4946?\n\"Answer: m**3 - 42*m**2 - 3*m - 2746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 3*d - 3*d + (-d + 4*d - d)*(2*d + 3 - 3) - 2*d**2 + d**2 + 2*d**2 - d**2 + 0*d**2 + 3*d**2)*((0 - 5 + 3)*(-1 - 1 + 1) + 4 + 4 - 6).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493408\/24 + 6 - (-6)\/18*4?\nAnswer: 2, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131314 rounded to the nearest one hundred?\nAnswer: 131300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02485 and 2.\nAnswer: 2.02485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10)*(5 + -10). Suppose -k*q - q + 29 = -5*z, -5*z - 5 = 5*q. Suppose 4*u + q*y = 118, -2*u + 2*y - 89 = -5*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(22) + sqrt(132)\/sqrt(6))*2*-6)\/((-4*sqrt(44)\/sqrt(4) + 6*sqrt(22)\/sqrt(2))*4))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(20) - (sqrt(20)*-6 + 1))**2 + 1 - (sqrt(980) + (-6*(sqrt(980) + 3) - sqrt(980))))*-4.\nAnswer: -8000 - 448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/25*185775\/(-22293).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*t = -4*r - 110*t + 118, -3*t - 90 = -3*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0641 - -0.0641. Which is the nearest to 2\/7? (a) -1 (b) p (c) 1\/8 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 3*c**2 - 6*c**2 - 12*c**2.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 0)*-1 + 1155 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/12 - 5*b**3\/6 + 20*b**2. Determine s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586258873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.017 - 0.283. Let k = -2.3 - b. Let d = 0.2 + -0.2. What is the nearest to d in 3, -3\/2, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = 6. Suppose 4*o - b*o - 382 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*d + 96484 = 0, -2*b - 17*d + 64329 = -22*d. List the prime factors of b.\nAnswer: 2, 13, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 - -306. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 95, 87, 65, 23?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12.5, 289, 1\/4408?\nAnswer: 1\/4408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -140, -4, 4, -1, -12 in descending order.\nAnswer: 4, 2, -1, -4, -12, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 51*z + 41. Let y be c(-5). Let q = -184 - y. Suppose -v + 0*f - 6 = 3*f, 0 = -v + 5*f + 10. Solve -5*m = 4*x + q, v = 2*x - x - m + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -376, -268, -160, -52, 56?\n\"Answer: 108*z - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 304791 + -304791.0999992. Let i = 0 + -0.1. Let q = i - h. Round q to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/675 and 17\/125.\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 116*s**2 - 42*s**2 - 3*s - 37*s**2 - 41*s**2 + 0*s + s**3 as c + n*s**3 + i*s**2 + j*s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3538383 divided by -3538383.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k + 138. Let l be t(34). Suppose 2*b + l*d = 7*b - 51, b - d = 9. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172785051.\nAnswer: 3, 43, 446473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(187) - sqrt(187) - sqrt(187))*4)\/(((sqrt(11) - (sqrt(396) - sqrt(396)*2)) + sqrt(11))*-2).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395927 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000126543 to 7 dps.\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**5\/8 - 21*c**4\/4 - 75*c**3\/8 + 219*c**2\/4 + 63*c\/2 - 135 = 0?\nAnswer: -3, -2, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tydtn. What is prob of picking 1 t and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 - 6. Let w be d(6). Let k be (-21)\/w + (-3)\/6. Suppose -1276 = -k*i + 584. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*(-3 - (-5 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -716 divided by 4\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 15, 15, 13, 9, 3?\n\"Answer: -p**2 + 5*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 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: Product of -0.2 and -0.0184865.\nAnswer: 0.0036973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a + 84. Let w be o(9). Let b(u) = u**2 - 17*u + 63. Let r be b(w). Let d(g) = -2*g**2 + 6*g - 7. Determine d(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l. Suppose 3*o + 2 - 32 = l. Suppose -13*c = -o*c - 177. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d + 97. Let i be l(0). Let g = 5184 + -5181. What is the third derivative of -110*n**3 + i*n**3 + 4*n**2 + g*n**2 wrt n?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1512056.04 and -0.1?\nAnswer: -151205.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 23 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -256 divided by 1210762\nAnswer: -128\/605381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -658\/15, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3*m + 15 = 0, -6*m = 44*l - 4*m + 3*m + 26 - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m. Let p(j) = 35604285*j. Determine p(l(x)).\nAnswer: -249229995*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 34700*b**3\/3 + 1318592*b**2\/3 - 2776304*b\/3 + 640\/3 = 0?\nAnswer: -40, 2\/8675, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 19*o - 35. Let d be n(22). Suppose 0 = -5*a + 509 + d. Does 27 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -10. Solve 0 = 3*c - 2*s - h + 7, 3*c + 2*s = -18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969650999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 147*x - 1729. What is a(12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4 + 8*u**3 - 32*u - 32 = 0. Calculate u.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.5 - 7.7. Sort -0.02, g, -2, -2\/7 in ascending order.\nAnswer: -2, -2\/7, g, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 = -4*a. Solve 0 = 4*q + 2 - a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 38*x**2 + 2. Let s be p(-2). Suppose 0 = 4*r - 4*t - 112, s = 5*r + 3*t - t. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -391251*u**2 + 401421 with respect to u.\nAnswer: -782502*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (536250\/(-198))\/(-65)*(-63)\/(-70)*(-4)\/(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248217 is divided by 3102?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125\/183 - 1\/61. Suppose 9 = 3*o - 3*r, -5*o + 68*r - 66*r = -21. Which is the nearest to w? (a) -1 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.4 (c) -1 (d) -0.01 (e) -3\/28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*z - 2*z**3 - 5449702 + 350*z + 3*z**3 + 5449702.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h + 103. Let b be u(8). Suppose -2*t - 320 = -0*t. Let c = b + t. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 630775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -60 (c) -137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1013020201?\nAnswer: 1013020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiitotytooyotaitoyya. Give prob of sequence oiyt.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3645580 (base 9) in base 7?\nAnswer: -22551426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + 5 + -21 + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 4, 0.2, -0.1, -3\/5, -2276?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*m**2 + 148*m**5 + m**4 - 137*m**5 - 3*m**2 + 4*m wrt m?\nAnswer: 660*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 - 2*h + 9. Let j be q(0). What is the second derivative of 8*x**2 + j*x - 12*x**2 - 49*x**2 - 11*x wrt x?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d + 10 = 3*v, -4*v + 20 = 2*d. Suppose 3*n + 3*j = 4*j - 1068, -v*n - 1424 = -4*j. Round n to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 3.9. Which is the third smallest value? (a) -4 (b) -0.2 (c) y (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuwuwuuwuwuu. What is prob of sequence ww?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = t - 671, 0 = 2*b - t + 90 - 529. Suppose 0 = -0*l - 2*l + b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -32. Let c = d + -33. Put c, -1\/6, 0.6 in ascending order.\nAnswer: -1\/6, 0.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = -5*w - 3*d, 4*w + 2*d + 360 = d. Let r = -156 - w. Let g be (r\/15)\/((-2)\/10). Solve -2*z + 0*s = 4*s + 28, 3*z + 2*s + g = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 707*i**2 - 709*i**2 - 239*i + 39*i - 6493*i**3 wrt i.\nAnswer: -38958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.8 + 12. Let b = 0.800036 + t. Round b to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h - 10 = -5*a, -2 = -4*h - a. Solve 4*s = -3*r + 6, h = -6*r + r - 2*s - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -737426999?\nAnswer: 737427000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 17800\/(-2)) + -5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -55. Let c be 1\/((-4 + 3)\/(-85)). Suppose -2*d + c = 5*v + w, 3*d - 60 = -4*v. What is the remainder when 81 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y + 5 = -28*y + 65*y + p + 2, 195 = -3*y + 65*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let v(k) = -6*k + 30 - 62 - k**2 + 33. Let a = 33 + -32. Calculate a*v(l) - 6*x(l).\nAnswer: -l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1935, 1.2, -305, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -597 * 2.29.\nAnswer: -1367.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q**2 + 4*q + 6. Let c(g) = g**3 + 10*g**2 + 31*g + 313. Let a be c(-10). Give u(a).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -14 + 92 + -6*(-1)\/(-1). What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -11 + (-14 - -22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*l - 3 = l, l = 5*a - 1. Suppose -p + a*p = 18. Let s = -5 - p. What is the remainder when 38 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1701 = -4961. What are the prime factors of x?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 426503, -1 in increasing order.\nAnswer: -1, 20, 426503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-105)\/28)*(-2)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 0*n**2 + 2*n - n - 11*n to s*n**2 + t + p*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6 - 0. Let l(b) be the second derivative of -b**3\/3 - 5*b**2\/2 + b. Let g(q) = -q - 1. Determine m*g(w) - l(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -93.\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w*w**(-10)*(w\/w**(-2))**(-26))**(-48) assuming w is positive.\nAnswer: w**4320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z - 2*z**4 + 0*z**4 - 3*z**4 + 5*z**4 + (-z + 0*z - z)*(-2*z**3 - z + z) + z**2 - z**2 - 3*z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*o + 6 = -7, -4*o - 26 = -2*p. Suppose 2*r - 2 = 2. Solve s + p = 4*m, -5*m - r*s = -0*s - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237995 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:38 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559225 is divided by 6904.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -351*l + 342*l. Solve 3*q + 3*g - 6 = l, -2*g = -0*q - 5*q - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7966 divided by -34\nAnswer: -3983\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 22 + 22 = -5*j, -3*j + i - 33 = 0. Let f be (3552\/30)\/8 + (-2)\/j. Suppose -y + 1 - f = 4*m, 0 = m + 1. Put -1, y, 0 in increasing order.\nAnswer: y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2 - 3) + 203 + -200\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = 0. Suppose -q + 3*a + 62 = -a, -a + 333 = 4*q. Suppose q = -j*z + 2*z. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*w = -197*w + 606. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*i - 155995 = 0, -1771*k + 2*i - 116997 = -1774*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 8*s**2 + 65. Let d(q) = -3*q**3 + 17*q**2 + 129. Calculate -2*d(x) + 5*n(x).\nAnswer: x**3 + 6*x**2 + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 304.9882 to one decimal place.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 1\/8 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t + 0 - 1\/2*t**4 + 0*t**2 + 0*t**3. Let k(y) = -y**2. Determine k(n(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-40)\/56)*3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a + 24 = 0. Let t = -21 + a. Solve -q - 1 - t = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - 198. Let k = 35 - w. Let m = 0 - 0. Solve 0 = -4*i + z - 10, m = k*i + 2*i + 5*z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 653.1424 - 0.1424. Let s = 648 - f. Which is the third smallest value? (a) 0.9 (b) -2\/13 (c) 2\/9 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, v: 2, l: 3, p: 1, h: 3, k: 3}. Give prob of picking 1 v, 1 k, and 2 h.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/(-3) + -6 + 216 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from vvvaqafvfavfva?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 28*c + 25*c = -15, -3*f - 10 = -2*c. Are f and 9\/317 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + -1 + -4 - 0) - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = f, 5*t - 2*f = f + 3. Let j(r) = -6*r**2 + t + 0*r + 5*r + 11 + 5*r. Let l(m) = -m**2 + 2*m + 2. Give 2*j(b) - 11*l(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/4*(2 + 0). Suppose 4 - d = -p. Suppose 0 = -2*q + 3*q - p. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 3*i + 7. Let s be j(4). Let f = s - 9. Suppose -f*n + 0*n = -30200000. What is n rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3945, 4082, 4215, 4344, 4469?\n\"Answer: -2*f**2 + 143*f + 3804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6284457 is divided by 1468?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/42)\/((-1)\/12). Let a be n\/16 + (-30)\/(-8). Suppose 306 = a*h - h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 3204*x + 221672. Calculate w(71).\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -57, -98?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18989698637 less than 0.36?\nAnswer: -18989698636.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.9945553 + 7.9945555. Let p = 7.98 + 0.02. Let c = p + x. Round c to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6*h + 45 = 0. Suppose 2*k - 47 = -3*w, h*k + 21 = 6*k + 4*w. Calculate the remainder when 74 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0 - 6, -2*b = -5*m + 3718. Let j = b - -5495\/3. Find the common denominator of j and 47\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 1) + (-5 - (0 - (-5 - -8)) - 5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 6*v - 6. Let p be c(-5). Let m be p - 45\/(-3) - -2. Calculate the remainder when 23 is divided by (4 + -1)*m\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2430915 and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -38. Let g = 98 - w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2631 + 2637. Suppose -3*c + 3*j - 6 = 0, -6 = -2*j + 2. Suppose 0 = -d - c*d + m + 16, -2*m + 8 = 4*d. Solve -d*t + 2 = -g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-31431)\/28)*(-44)\/6. Let c = -8237 + j. Let y = 1\/5876 - 43337\/8814. Calculate the common denominator of y and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878861.\nAnswer: 37, 23753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3331*n - 3318*n - f = -653, 2*f = -9*n - 444 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-327)\/18 - 6\/2 and 33\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1773 + -864. Suppose m = 6*n - 705. Is 268 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -1540299*v + 1540304*v + 5*k, -24*k + 152 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 - 4*t**4 + t**4 + (-t**3 + 4*t**3 - t**3)*(2*t - 3*t + 0*t) - 611*t**4 + 55546*t - 55546*t.\nAnswer: -612*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4226\/1017 - 5\/113. Let p = -22231\/9 - -2464. Calculate the common denominator of p and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13672474 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: -189.7 * 5\nAnswer: -948.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1065 - 726. Is c\/(-5*(-12)\/40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.64 in 0.3, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6702993289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 112, 161, 202, 229, 236?\n\"Answer: -y**3 + 5*y**2 + 43*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -61.548+-72\nAnswer: -133.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 157*b**5\/20 - b**4\/3 - 5*b**2\/2 + 201*b. What is the third derivative of w(n) wrt n?\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17042436*j**3 - 36*j + 122758.\nAnswer: -102254616*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31041, -30922, -30803, -30684, -30565?\nAnswer: -30446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-5 - (0 + -3)) + -16).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -17*m - 165 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4028 and 8?\nAnswer: 8056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 304550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x - 87. Let p be w(18). Solve p*f - f + 1 = -3*i, 4*f - 19 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0238 in -5, 0.2, 0, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**2 + 1385*t - 6332. Determine a(193).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 4.930286?\nAnswer: 9.930286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 43*q + 188. Calculate y(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 74*(-3 - 35\/(-10)). Let n = b + -27. Suppose 2*o - n = q - 3*q, -3*o + 5*q = 9. Solve -o*g - 5 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*i - 10 = 30, 3*i = 5*a. Suppose 0 = -4*s - 0*s + a*j - 3, -4*s = 3*j - 27. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/114241 or 1?\nAnswer: 1\/114241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111110010 + -101?\nAnswer: -1001111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-2)\/(-2) - (-4 + 5). Let a = 20 - o. Suppose 4*m - 146 = 2*f, -2*m + 4*f + 105 = 23. Calculate the remainder when m is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 w when three letters picked without replacement from xxxwxxxxwxxxxxw.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*a + a - 6 = 0, 3*a - 4 = f. What are the prime factors of 0\/f + 30\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75988*n + 151929*n - 75983*n + 3*n**3.\nAnswer: 3*n**3 - 42*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 476.81 from 0.2.\nAnswer: -476.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -801.59, 3\/5, -1458, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(153)*1 + sqrt(153) - (sqrt(153) + -4 + 1*sqrt(153)))*-1)**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + v + 2. Let k(o) = 7*o**2 - 12*o - 5. What is k(z) + 6*p(z)?\nAnswer: z**2 - 6*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 64 (b) 41940 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*g = 0, -y + 2027 = -3*g + 2035. Put 3, 11, y in increasing order.\nAnswer: 3, y, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 34\/3 (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydqdqdkqqaqdkdn. What is prob of sequence qnya?\nAnswer: 1\/6552","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 5691 (c) -0.2 (d) 59 (e) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34972, -1, -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 413. Let a be w(0). Suppose 5*v + 2*t = 2920, 2*v - 5*t = -4*t + 1168. Let y = a + v. Calculate the highest common factor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62931, -62932, -62933, -62934, -62935?\nAnswer: -62936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)\/(t*t*t\/(t**(1\/3)\/t)*t*t))\/(t*t\/((t*(t\/(t*(t\/t**(-7))\/t*t)*t)\/t*t)\/t)*t**(1\/4)))**28 assuming t is positive.\nAnswer: t**(-1232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -24*a + 219. Let u be c(9). Solve 4*w - u*v = 7, -4*v = 4*w - w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:21 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 224.11727 - 224.61727135. Let l = b + 0.5. What is l rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/13114 and -85\/1264?\nAnswer: 104912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1529 + -1524. Let w(j) be the first derivative of 0*j**3 + 1\/5*j**a - j - 13 + 1\/2*j**4 - j**2. Factor w(u).\nAnswer: (u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.034 (b) -247 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1208 divided by 5.\nAnswer: 1208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzzzzpppzzzp. Give prob of picking 1 p and 1 z.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Suppose i = x*i. Suppose i*a = 4*a - 80. Calculate the lowest common multiple of a and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, 0*y - 144 = -4*j + y. Suppose 4*s + 24 + 12 = 4*r, 2*s = 4*r - j. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 3. Suppose -10*g + 20 = -15*g. What is n(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z - o - 4, 0 = 3*o + 12. Let l be 8\/24 - 5\/z. Suppose -l - 3 = -5*m. Solve 4*y - 2 = 3*d + m, 5*d = -2*y - 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t. Let r = 5 - t. Solve -15 = 2*v - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from bdgbsdf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) 176 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*k**2\/3 + 34*k\/3 - 16.\nAnswer: (k + 2)*(29*k - 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 9. Let w(h) = 2*h**2 - 4*h - 3. Let c be w(6). Let a = c - 25. Solve 0 = 3*o - z - s, 5*o + z - a + 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/((-25)\/10 + 1). Let q = o - 7. Solve -17 = 4*f + q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1138, 2224, 3278, 4300?\n\"Answer: -16*p**2 + 1134*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + 90. Calculate the common denominator of 10 - (17 + 3) - 398\/(-20) and 8\/(-6)*u\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*s = -7*s + 217, -s = -4*j + 847. Let y = j - 291. Sort y, -2, -5.\nAnswer: y, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 22 - 22. Let n(p) = -12*p**2 - 2. Let l(o) = 13*o**2 + 3. Let c(x) = -2*l(x) - 3*n(x). Calculate h(c(a)).\nAnswer: 200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -90 and 63107.\nAnswer: 63017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*n + 3*g - 100, 5*n - 100 = 5*g. Let q(k) = 3*k**2 + 26*k - 8. Let a be q(-9). Suppose y = a, -4*y + 1 = 4*x - 3. Solve x = 5*h + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26765974?\nAnswer: 2, 23, 581869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.5893 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 394328047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*r + 49 = 0, -k - 14 = r - 2*r. Let o = 103 + -97. Let h be (o + 3)\/((-5)\/k). Which is smaller: 25 or h?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.37071l in millilitres?\nAnswer: 23370.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*h - 235*h - 6*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -76658872 and -513201.\nAnswer: -77172073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.92 (b) -2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 147*m**2 + 448*m + 305. What is p(150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22944 by -6.\nAnswer: -3824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(165)\/sqrt(275))\/sqrt(5).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.087 - 4.087. Which is the smallest value? (a) 0.3 (b) g (c) -0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 481 and 82.\nAnswer: 39442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i. Let u(v) = -6169*v + v**2 + 1 + 6169*v. Give u(s(j)).\nAnswer: 9*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Suppose n + a*m + 12 = 0, -n = -m + 2*m + 4. Suppose n = 2*h + 6*h. Solve h = -0*q + q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 626 - 5457?\nAnswer: -4c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 8457534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**6\/30 - v**4\/6 + v**2\/2 - 9*v + 6. Let w(a) be the first derivative of n(a). Factor w(j).\nAnswer: (j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 2. Let p be l(0). Find the second derivative of 28*k + 13*k**p - 5*k - 2*k**2 wrt k.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 17 = 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12278151383\/655545 + 17694\/19865. Let i = q - 18729. Find the common denominator of i and 1 - (2 - 76\/42).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlll when four letters picked without replacement from {l: 3, a: 7, n: 9}?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3978\/5 - -71059\/90. What is the common denominator of 93\/10 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340447438 rounded to the nearest one hundred thousand?\nAnswer: -340400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -23482?\nAnswer: -46964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-4))\/u**(1\/2))\/(u**1)**(-12))**(-35) assuming u is positive.\nAnswer: u**(-1155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -56338, -2, 1 in descending order.\nAnswer: 5, 1, -2, -56338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 42. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 6733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = 0, b = y - 0*y + 7. Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*o + 3*d + 3, -1 = d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 430, 646, 862?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -4*y + 42, 15*y - 5201 = t - 505*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 22 + (-28 - -27) + 19\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**4 + 18205521*n**3\/5 - 47334444*n**2\/5 + 2912892*n + 14564448\/5 = 0.\nAnswer: -1213704, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -532.4 + 564. What is the second biggest value in 0.4, -0.2, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (30 - 69) - 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -518 (b) 2\/7 (c) -180 (d) -2 (e) -8 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3 (b) -0.3 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:10 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*p - 2. Factor 0*r**4 + 2*r + 4 - 2*r**3 + 8*r**4 - 6*r**p - 6*r**4.\nAnswer: 2*(r - 2)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1041 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/8)*u)\/u*u\/(((u*u\/((u*u\/(u**0*u)*u*u)\/u))\/u)\/u*u)*u**(-5\/3)\/u**(5\/3) assuming u is positive.\nAnswer: u**(-23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2*q + 558*g**2 + 268*q - 38 wrt g?\nAnswer: 4*g*q + 1116*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:39 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9 - 26*t**3 - 8*t**2 + 27*t**3 - 2*t - 2*t**3. What are the prime factors of y(-10)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -597 (base 11) to base 3\nAnswer: -222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -5*k**2\/2 + 110. Let b(v) = 4*v. Let n(w) = -6*b(w) - 5*f(w). Let c(q) = -18*q. Give n(c(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0178516 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2087 = -5*f + i, 2*i = -4*f + 1208 + 456. Suppose 0 = 4*m + f - 1453. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 0, -2*i + 464 = -4*j - 3*i. Let a = j - -116. Solve 0*y**2 + 4\/5*y**4 + 0*y**3 + 0*y + a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1216) + sqrt(1216) + 3*(sqrt(1216) + 2))*3 + 2 + -1*sqrt(1216) + 1 + -2 + 5)**2.\nAnswer: 5376*sqrt(19) + 238912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 - -0.13. Let v = -0.15 - t. Let h = 0.01 + v. Round h to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5 - 8. Let d = -18 - v. Let m be -1*(-2)\/10*(-4 - 1). Put 1, d, m in decreasing order.\nAnswer: 1, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1\/(-2) - 2. Let k = -12 + 7. Let d(y) = -y**2 - 9*y. Let l be d(-9). Sort k, l, a in descending order.\nAnswer: l, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -14095?\nAnswer: 21\/14095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*k + 12*k + 10*k to w*k + r and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 5*d**4 - 6*d**4)*(-4*d - d + 4*d + d - d + d + (0*d - d + 3*d)*(-2 - 1 + 4) - 3*d + 4*d - 2*d).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2456698 divided by 2\nAnswer: -1228349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 1, a: 2, i: 1}. What is prob of picking 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4230024 (base 5) in base 6?\nAnswer: -1303011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*5\/(-2))\/1. Solve -l*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g + 77. Let f be u(-7). Suppose 2*v + 948892 - 4468907 = 5*q, -4*q - 12 = f. Round v to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-12) - 2\/6. Let l be (-1)\/c - (-10)\/14. Let b(v) = -v - 7. Let s be b(-6). Which is greater: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 30, 67, 116, 177, 250?\n\"Answer: 6*x**2 + 7*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 + -149. Suppose 2*t - 5*t = -9. Suppose -v = t*h - 150, v + 107 = 2*h + 4*v. Calculate the remainder when h is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Let m(t) = -t**2 + 5*t - 4. Let l be m(4). Suppose 3*g - 5*o + 25 = -0*o, l = -3*g - o + 5. Solve g = -4*r - i - 17, d*i + 20 = -5*r + 2*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 13*k - 1. Calculate the least common multiple of 1 and z(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.058 - -0.042. Which is greater: -0.66 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((-3)\/120*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -653\/448 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 344341 or 344989?\nAnswer: 344989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w + 41. Suppose 146*u - 143*u = -21. Let r be t(u). Let o = -10 - -14. Solve 3*a - 2*s = r, s = -3*a - o*s + 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 4. What is the remainder when j is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 1\/18*l**4 - 29 + 196\/3*l**2 - 5488\/9*l - 28\/9*l**3. Suppose z(y) = 0. Calculate y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2353730 divided by 1176865\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(((-1 + sqrt(405))**2*2 - (4 + (sqrt(405) + -1)**2)) + (sqrt(405) - ((sqrt(405) + 0)**2 + 3) - (-1 + sqrt(405) + 4))) + -1).\nAnswer: -324*sqrt(5) - 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -40*z**3 + 24*z**2 - 6*z + 15. Let x(b) = -37*b**3 + 23*b**2 - 5*b + 16. Let f(r) = 12*t(r) - 13*x(r). Give f(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 63, 68, 73?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203.85 or 411\/23?\nAnswer: 411\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -345, -2602, -8593, -20142, -39073, -67210, -106377, -158398?\n\"Answer: -304*o**3 - 43*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-320)*6\/(-9)*-3)\/((-28)\/490)\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59060.\nAnswer: 2, 5, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = h - 9958 + 9944, 4*i + h = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69140, 138285, 207430?\nAnswer: 276575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 2*v + 4. Is 7 a factor of g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let c(u) = 3*u. Let v(a) = -4*c(a) - 9*j(a). Let b(o) be the first derivative of -13*o**3\/3 - 3371. What is b(v(q))?\nAnswer: -117*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3. Let j be h(2). Let l be 4\/j - (-2478)\/8. Suppose t = -t + l. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 675.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 58*i**3 + 3*i - 81*i**3 - i.\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a - 12. Let z be x(-6). What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -512.6, 34?\nAnswer: -512.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68734.\nAnswer: 2, 34367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*(-54)\/(-7)*511\/292?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 21. Calculate the least common multiple of z and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 4:17 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/375?\nAnswer: -2\/375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10*n = -14*n + 20, 3*a - 3*n + 6 = 0. What is the second derivative of -5 - 67*l**2 - 19*l**a - l + 34*l**2 wrt l?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 10*m - 1. What is the units digit of o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2. Let j(q) = 15*q + 347. Let z be j(-23). Let o(a) be the second derivative of -1\/3*a**3 - 3*a + 0*a**z + 0. Give r(o(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 23207.5 to the nearest 100.\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3*a + 32 - 40, -d - 2*a = 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2 - 0) + 6. Suppose -m*a - 285 = -a. Let f be (-44)\/a - (-2)\/(-3). What is the second biggest value in 2\/3, f, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408393523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24541*o + 13*a + 61 = -24540*o, -25*a = 4*o + 141 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 7}. Give prob of picking 3 o.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -14*f + 106. Let z be d(-13). Let n = z - -383. What is the greatest common factor of n and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1814.8 - 1814.3. Which is the closest to -4? (a) 63 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*h + 52*h - 162 = -47*h - 52*h for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 22*f**2 + 6*f. Let q be k(-4). Suppose -4*x + 656 = -2*u, -2*x - 4*u + q = u. Factor -2*j**2 - x + 16*j + 296 - 164.\nAnswer: -2*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793020 divided by -180620?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = d + 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, q: 1}. What is prob of sequence mmq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22713209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -120*q**2. Let w(t) = -1578*t**2. Calculate r(w(l)).\nAnswer: -298810080*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 4)*(-a + 3*a - 4*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28505 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: Solve 5*l**2 - 17915*l - 125650 = 0 for l.\nAnswer: -7, 3590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, 4\/21, 3.34?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/7 - 37724*j**4\/7 - 263996*j**3\/7 - 70032*j**2 + 113166*j\/7 + 678780\/7 = 0. What is j?\nAnswer: -18855, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -25*f - 6. Let d(j) = 150*j + 35. Let n(u) = 6*d(u) + 35*k(u). Let g(b) = -b. Determine n(g(p)).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 43*m**3 + 6*m + 13. Let i(t) = -88*t**3 - 13*t - 27. Let l(c) = 5*b(c) + 2*i(c). What is the first derivative of l(k) wrt k?\nAnswer: 117*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**3\/3 + 7*o**2 + 29*o - 4. Let g be f(-7). Let t be (-26)\/g - 24\/16. Which is the closest to 5? (a) 5 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -4, -144.\nAnswer: -144, -4, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, j: 6, x: 2}. Give prob of picking 2 j and 1 x.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/262 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (sqrt(832) - -1*sqrt(832)*5)) - ((sqrt(832) - (sqrt(832) - sqrt(832)*1)) + 2 - (sqrt(832) + (sqrt(832) + 1)*-6)))**2*1.\nAnswer: 7680*sqrt(13) + 749056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -271336.5 and 0.1?\nAnswer: -27133.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4457954 to 2 dps.\nAnswer: 5.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:44 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/5, 6, 0.5, 0.423?\nAnswer: 0.423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkzkkulzkpkplkllkkk. Give prob of picking 1 k, 1 u, and 1 z.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*y - 27152, 256*o + 6789 = y + 257*o. Does 115 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07 and -48758924987?\nAnswer: 48758924986.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, 83, 33?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2156*m - 1128 = -2109*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 528.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 12*v**2 - 49*v + 208. Calculate q(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0241 - 0.024605. Round i to five decimal places.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 22*x**2 - 4*x + 18. Let j be q(0). Solve j*w + 25*w - 172 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**49\/((r**1\/r)\/r*r**(-2\/5))*r**(-1\/7)\/r*r\/r**5*(r\/((r\/r**1)\/r))**10 assuming r is positive.\nAnswer: r**(5137\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**2 - 83*b**2 + 205*b**2 - 64*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 1520 - 1515 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -307 - 1?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 12*g**2 - 13*g + 7. Let f be b(13). Solve 12 = f*z - 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a45 (base 16) to base 4\nAnswer: -1221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.36 (b) -12 (c) -15 (d) -1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/(-224)*(-63)\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*v**3*y**3 - 273*v**3 + 8*v**2*y**4 - v**2*y**2 - v*y**3 wrt y.\nAnswer: 510*v**3 + 192*v**2*y - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 2*f**2 - 6*f - 4. Let v be r(-4). Suppose 0*p - w = -2*p + 74, -3*p + w = -111. Let d = p - v. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - 5*sqrt(28)))**2 + (sqrt(140)\/sqrt(5))\/sqrt(4).\nAnswer: sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 1, b: 1, e: 1, l: 1, y: 1}. What is prob of sequence xe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 357039 to the power of 1\/2, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406 - 406 + 1287704*n.\nAnswer: 1287704*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 52. Let d be (0\/3)\/(-1 - -2). Solve d = p + 4 - t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(612) + (sqrt(612) - -2*sqrt(612)) + 5)**2*-6.\nAnswer: -58776 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*c - 250, -c + 488 = 4*b - 6*c. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7979.0001 - -7982. Let g = h - 3. Round g to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6 = 2*h + 5*r, 3*r = h - 3. Suppose -2 = -h*p + 7. Let u = 0.23 + -0.03. Which is the second biggest value? (a) u (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -115.7. Let m = r - -2.7. Put m, 0.3, 5, -1\/10 in decreasing order.\nAnswer: 5, 0.3, -1\/10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r + 1. Let q be b(1). What are the prime factors of 203\/q + (-46)\/(-115)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 2. Let p(j) = 3*j**2 + 15*j - 30. Let n(z) = p(z) + 15*r(z). Let m(t) = 3 + 1 + 11*t - 4. Calculate m(n(d)).\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2223 > -2224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-10 - -5 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -253*g - 15*g**2 + 3 - 5*g**4 + 253*g + 10*g**2 to the form t + o*g**4 + x*g + m*g**2 + q*g**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -320633 in -2\/13, 4\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 + 4 = -t, 0 = -4*y - t + 10. Let x = 1578 + -1582. Sort -1.4, y, x.\nAnswer: x, -1.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 + 6*f**2 - 216*f\/7 + 40.\nAnswer: -2*(f - 14)*(f - 5)*(f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, and 1 m when three letters picked without replacement from {m: 1, n: 1, p: 4, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 22*u**2 - 18*u - 57. Let d be ((-18)\/(-15))\/((-32)\/(-560)). Let y be a(d). What is the greatest common divisor of y and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(432) + sqrt(432)*-1) - sqrt(33)\/((sqrt(66)*1)\/sqrt(6)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-51))\/((-2)\/18). Let s(i) = i**3 + 8*i**2 + 2*i - 2. What is s(q)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325614730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let d(r) = 617*r**2. Give l(d(z)).\nAnswer: -617*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.482681243 rounded to four dps?\nAnswer: -0.4827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979785 and 82035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1878 + -1079. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 43?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14421 in 2, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/15*3\/(-2)*6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202810.\nAnswer: 2, 5, 17, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -3 + 5 + 7. Let j be (-13612)\/102 - 8\/t. Let g = j - -134. What is the second biggest value in -2, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from kkfqjkkjqkqkjfqqqqkk?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104452*c*g**5 + 169*c*g**4 - 2*c*g**2 + 3*c*g - c - 3187200*g**2 - 5 wrt g.\nAnswer: 6267120*c*g**2 + 4056*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 552989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 j, and 1 k when four letters picked without replacement from bjbjkzbjbjzjjj.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.41 times 7.7?\nAnswer: 126.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*b - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64689*f**4*u**3 - f**3*u**3 + 43207*f**2*u - f*u**3 wrt f.\nAnswer: 1552536*f*u**3 - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9 = i. Let n = -772 - -772. Put n, i, -1 in descending order.\nAnswer: n, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*4\/(-3)*-3. Let i be (-23 - 1 - 1)*3870\/19350. Put 4, i, -2, f in descending order.\nAnswer: 4, -2, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(3\/4)*a)\/(a\/(a**5*a)))**(-9\/7)\/((a\/(a\/a**(-2\/3)*a))**43*a**2*a\/(a*(a\/(a\/(a\/((a\/(a\/(a*a**(1\/12)*a)))\/a)*a)*a*a))\/a)) assuming a is positive.\nAnswer: a**(2447\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7566 + -4990. Suppose -3*s + s - 2*u + o = 0, 3*s - 3*u - 3882 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 45*d**2 - 6934. Let c(s) = 2*s**2. Determine r(c(b)).\nAnswer: 180*b**4 - 6934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 65664.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -75, -72, -53, -12, 57?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*((-1 - 0) + 0). Suppose -i*p = -2, -2*z - p - 2*p = -135. Suppose -2*c = -z - 8. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 + 189. Let s(q) = -5*q**2 - 764*q + 967. Calculate the remainder when f is divided by s(-154).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 + 8*f + 3. Suppose 0 = -c - 5*k + 4 + 9, -2*k = -c - 1. Let m = 0 + c. Let r(t) = 2*t**2 + 3*t + 1. Calculate m*y(u) - 8*r(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 34*h**2 - 28*h + 48. Let x be z(-35). Let o = -155 - x. What is the smallest common multiple of 42 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, 41, 8, 11, 1.\nAnswer: -5, -2, 1, 3, 8, 11, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 734 + -736. Let y = -7 - -3. Put y, z, -2\/5 in decreasing order.\nAnswer: -2\/5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-62)*25110\/810.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -s, -t - 4*t + 10 = s. Solve 0 = x - 5*x - 4*n - 24, -4*n - 18 = t*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6) + (3 - 2 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/j**(1\/4))**(-5\/14)*((j\/(j**1*j))**(-19\/6))**(-26) assuming j is positive.\nAnswer: j**(-14417\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/5 + 10572*w**2\/5 + 63308*w\/5 + 10548.\nAnswer: 4*(w + 1)*(w + 5)*(w + 2637)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(343)).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36 (b) -0.05 (c) 30\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2751100 rounded to the nearest ten thousand?\nAnswer: -2750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l + l - 20*l to the form m*l + c and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**3*v**3 - 3*r**3 + 4*r*v**2 + 491*v**3 wrt r?\nAnswer: -6*r**2*v**3 - 9*r**2 + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/12933 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9373500 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkzzkkzzzjzzqzjqz. Give prob of picking 2 k and 2 z.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*i - 119*i - 2387. What are the prime factors of i?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(1\/4)*o)))\/(o*o\/(o**(-3\/2)*o*o)*o))**40*(o*o*o**2*o*o\/o**(4\/5))\/(((o**1\/o)\/o*o)\/o)**49 assuming o is positive.\nAnswer: o**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*u + 3102 = 54*u + 36*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 4. Let r(j) be the third derivative of j**4\/24 - 2*j**3\/3 + 2*j**2. Let i be r(4). Calculate a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*u - 11, -4*a + 2*u = -3*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 125*k + 5. Let y(u) = 16*u**2 - 626*u + 27. Calculate -11*r(t) + 2*y(t).\nAnswer: -t**2 + 123*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 (base 7) in base 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50275, 201106, 452495, 804442, 1256947, 1810010?\nAnswer: 2463631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -54a?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 73*x - 10. Let j be b(7). Let k be (j - 3)\/3 + -1. Suppose 4*n + k = 1009. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 + s**2 - s - 1. Determine n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 24. Let m(z) = -z**3 - 6*z**2 + 16*z + 5. Let d be m(n). Solve 0 = -q + d*p - 7, 2*p - 10 - 9 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((28\/(-21))\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.125 or -0.015?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(242) - -4*(1 + sqrt(242))) + (sqrt(288)*-1 - (sqrt(32) + 4))))**2.\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {y: 7, k: 2, a: 1}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)\/y**(-2\/29) assuming y is positive.\nAnswer: y**(-56\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5524 = -4*x, -2*x - 5*c - 5564 = -6*x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(7\/4)*j*(j*j**6)\/j*((j*j**(-5\/3))\/j)\/j*j*j**12 assuming j is positive.\nAnswer: j**(229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + -10)\/(1 - 2). What is the lowest common multiple of ((-3)\/(-2))\/(2\/4) and (-2 + s)\/(4 - 266\/63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2537 + -2533. Let o(m) = -m**3 - 2*m**2. Let j be o(-2). Suppose 7*f - q*f - 4*n - 195 = j, -n = 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a23c8 - -5?\nAnswer: -a23c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/37 in -3, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 20 = -4*g, -7*g - 94 + 91 = 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u. Suppose 0 = 2*l + l - 63. Let j = l + -12. Let v(i) = -j*i - 5*i + 0*i - i. Calculate v(p(q)).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 4197*u - 3.\nAnswer: -4197*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 222 + 2 + 19*l - 23*l - l**2 + 26*l + 19*l. What is o(46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.04, 5\/288, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)*k*k)**35)**(1\/4)*((k**(-1))**(-35))**(2\/9) assuming k is positive.\nAnswer: k**(805\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - 2*h**2 + (-1 + 3*h + 1)*(-h + 2 - 2))*(-2*h + 10 - 10).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 94.94. Let x = t + 0.86. What is the nearest to -0.1 in -0.4, x, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -20*d**2. Let l(s) be the third derivative of s**4\/24 + 329*s**2. What is k(l(v))?\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 2*g**2 - 2*g + 1. Let a be q(1). Let m be a*2*(-27)\/6. Suppose -3*c - 3*l = -8*l - 15, 3*c + 3*l = -m. Which is smaller: c or 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 112*g + 128*g**2 + 116\/7*g**3 + 4\/7*g**4 + 0 = 0. What is g?\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24513, -24496, -24463, -24414, -24349?\nAnswer: -24268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1. Let q(b) = b - 10. Let g(r) = -1. Let i(a) = -3*g(a) + q(a). Suppose 3*m - 15 = 3. Suppose -m*j - 42 = -8*j. Give j*h(s) - 3*i(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2391972 and 12?\nAnswer: 2391972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Suppose -q - 4 + x = -2*b, -5*q + 26 = 2*b. Solve b*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347936 by 86984.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**2 - 3. Let m(y) = 17*y**2 - 15. Let t(x) = -5*x**2 + 5. Let a(v) = -6*m(v) - 17*t(v). Determine 3*a(k) + 5*d(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/20 - d**5\/60 + d**4\/12 - d**3 - 32*d**2 - 5*d - 2. Calculate o(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42203.36 millilitres in litres?\nAnswer: 42.20336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 6*n**2 - 8 + 0*n**2)*(7*n**2 + 2 + 5*n**2 - 18*n**2).\nAnswer: 12*n**4 + 44*n**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 3*k + 3. Let d be v(-2). Let g be ((-9)\/33 - d) + 0. Let n = -20\/33 - g. Which is the third biggest value? (a) n (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84555*c**3 + 5 + 7*c**2 - c**4 - c + 4*c**2 + 84556*c**3 in the form p + x*c**2 + n*c + v*c**3 + o*c**4 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 5*n**2 + n**4)*(0 + 0 - 3*n) + (-n + n - 2*n**4)*(2*n - 2*n + 2*n).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7288 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-20) + (-18)\/(-45). Solve 5*c + d = -25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403099370 to the power of 1\/3, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/218115 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67206*v**2 + 33586*v**2 + 33586*v**2.\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 14. Give z(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-22) + (-3)\/(-66)*-194. Let w be ((-15)\/(-20))\/(x\/80). Let j = w + 106\/15. Which is the smallest value? (a) j (b) 3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*l + 9*l + 16*l)*(2*l - l**2 - 2*l) to s*l + o + f*l**3 + k*l**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 106570739 to the power of 1\/2, to the nearest integer?\nAnswer: 10323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127624 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 114880 divided by 28720\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 2 + -3 - 1. Let g(b) = -3*b**3 + 23*b**2 + 20*b + 17. Let s(l) = -l**3 + 8*l**2 + 7*l + 6. Let a(m) = z*g(m) + 17*s(m). What is a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = -61 - 2 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*s**3 - 923*s**2 - 1528*s**2 + 2 + 706*s**2 to the form h*s**3 + u*s + x*s**2 + r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 + -1)\/(-26 - 1404\/(-36)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/8 + t**3\/2 + t**2. What is the tens digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/1573 in -15.3, -1, 7\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1205 and -24\/2651.\nAnswer: 13255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 523974 by 467.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*g**2*t**3 - 4872*d**2*g*t**3 - 2*d*g - 30*d*t**3 - 143*g**2*t**2 wrt d.\nAnswer: -4*g**2*t**3 - 9744*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.36?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {v: 2, p: 1, b: 1, f: 1, x: 1, a: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -k - 1286. Let o = k - -586. Let z = o + 1271\/2. Calculate the common denominator of z and 139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 - 12*j**2 - 45*j + 33. Calculate the remainder when g(-13) is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*460\/(-92)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165204963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -21435 and -24760.\nAnswer: -46195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, -87, -291, -577, -945, -1395?\n\"Answer: -41*i**2 + i + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.394 + 0.006. What is the closest to -1 in -4, p, -37?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8189 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121102221 (base 3) in base 7?\nAnswer: 1051153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34849 * 0.257\nAnswer: -8956.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -352\/47 - -70468\/9635. Calculate the common denominator of p and -23\/2460.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*b + 1414754 = -5484925. What are the prime factors of b?\nAnswer: 157, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5649 (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + -0.24. What is the fourth smallest value in 2\/11, o, 0.2, -0.1, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 45*i - 365. Is 2 a factor of f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -239? (a) 1\/8 (b) 0.1 (c) 4\/9 (d) -0.61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29328 and 9588.\nAnswer: 498576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2 + (3 - 3 - 1)*(-4 + 2 + 0))*(-3*o**2 + o**3 + 3*o**2) to z*o**3 + q*o**2 + y*o + u and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 17*n**2 + 3*n - 1. What are the prime factors of k(-3)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(41\/738)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 5*h**3 - 2*h + 2*h**2 + 3*h. Let k be t(1). Solve -2*b + 0*s = 2*s - k, 3*b - 3*s + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 divided by -3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.2 - -15.2. What is the smallest value in 4, t, -1\/5, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15)*(-54)\/4. Let r(j) = -j**2 + 10*j + 1. What is the tens digit of r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 848656*n**2 + 17832743*n wrt n?\nAnswer: 1697312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 19. Let s(t) = t**3 - 5*t + 5. Let w be s(z). Let c = 0 - 0. Which is bigger: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12208 is divided by 6067?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 12:33 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 404343141330?\nAnswer: 404343141330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 4574*w\/5 + 35952.\nAnswer: 2*(w - 2247)*(w - 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-1)\/1*-1))\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**6 + j**5 + 1820*j**3*v + 267*j**2*v - j**2 - 58 wrt j.\nAnswer: 120*j**3 + 60*j**2 + 10920*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v + 1. Let i(u) = 5*u**2. What is g(i(w))?\nAnswer: -60*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4417, -20052, -46113, -82600, -129513, -186852?\nAnswer: -254617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28157 + 35370. Calculate the remainder when y is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, -4, 48 in ascending order.\nAnswer: -5, -4, -2, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.2 - 18. Let h = f - 4.1. Let n be (1224\/(-405))\/(-17) - 4\/10. Sort h, 2, -5, n in descending order.\nAnswer: 2, h, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**(-27) assuming q is positive.\nAnswer: q**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (68\/(-16) + 3)*4\/(-10). Suppose -4 = 3*m - 5*m. Let 0*r + 0*r**m + 0 - 1\/2*r**3 - q*r**4 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**2 - 2*m**2 + 5*m**2)*(-2*m - m + m + 6*m**2) to c*m**2 + s*m + q + l*m**4 + o*m**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3669 and -71\/3136995.\nAnswer: 3136995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t + 12, -2*k - 5*t = -2103. What is the tens digit of -4 - k\/(-9) - (-6)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5406 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -12*o**2 - 70*o + 9. What is t(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*g + 15 = 30, 3*a - 3 = g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 157151 = l, 6*l - 3*l - 62857 = -2*b. Let r be (b\/(-8))\/((-1)\/4). Suppose -r - 4085 = -3*f. Round f to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(15)\/sqrt(5) - -1*sqrt(12)\/sqrt(4).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254.5 - 254. Which is the closest to -0.02? (a) -0.03 (b) -0.5 (c) 0 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 3*u**2 + 3*u**2)*(3 - 4 + 2) + 3*u**3 + 5*u**3 - 6*u**3 - 120*u**3 + 15741*u**2 - 15741*u**2.\nAnswer: -117*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3000 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.5 * -0.7.\nAnswer: -14.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 154615336 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 8*v + 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**6\/60 - w**4\/3 + 4*w**2 + 9*w - 1. Factor z(t).\nAnswer: (t - 2)**2*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 0*t - 12 + 2*t + 10 + 2. Let i(m) = 4 + m + 3*m + 8*m - 7. Give n(i(h)).\nAnswer: 24*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3270315603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:46 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 84*t**2 + 54*t**2 - 9.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16944 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 68*u**3 - 2*u**2 + 2*u - 1. What is the remainder when r(1) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009868 rounded to 5 decimal places?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 168, 163, 160, 159?\n\"Answer: p**2 - 8*p + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60387679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 7) to base 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaj when four letters picked without replacement from jaaaaamajjjaj?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -673435?\nAnswer: 673437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11480*b - 11479*b - 28, -x = 6*b - 164 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142804 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16617?\nAnswer: 3, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 5*i**2 - 6*i - 5. Let d(s) = -3*s**3 - s**2 + s - 1. Let j be d(1). Let h be z(j). Suppose -g = -7 - h. Solve -6*p = -4*p + g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-94)\/(-183488)*61.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3092 minus -113372?\nAnswer: 113378.3092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*h + 4*c - 11, 4*h = 3*c - 25. Let y(q) = 2*q + 4. Let d(v) = 1. Let g(s) = 4*s + 14. Let x(r) = -5*d(r) + g(r). Give h*y(l) + 3*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 - 18?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10724, 19817, 28910?\nAnswer: 38003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.78704 and -8.\nAnswer: -13.78704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 5:28 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 338 - 333. Suppose -4*x = -j*s + 8, 4*x - 24 - 8 = -5*s. Find a, given that 24\/7*a**2 - 4\/7*a**x - 48\/7*a + 32\/7 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6. Let o be (f\/(-6))\/(5\/15). Is 1 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t - 100. Let p be z(6). Suppose 1 = j - 2. Differentiate 3*i**3 - p*i**4 - 484 + 488 - 3*i**j wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1773\/5 - -355. What is the nearest to 0 in 37, d, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4179 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 795 - 808 = 3*o, 8 = j + 4*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89525572 + -5.\nAnswer: 89525567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:24 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 79*t**4 - 70*t**4 + 3*t + 147*t**4 - 14*t**2 to the form y*t**2 + b*t**3 + h + g*t**4 + f*t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-17\/5)\/k*k**3\/k)\/(k**(-1\/75))**(5\/7) assuming k is positive.\nAnswer: k**(-146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2232 and 65\/2511?\nAnswer: 20088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3071002 (base 12) to base 16\nAnswer: -8aedc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 609.6 + -610. What is the smallest value in -4, g, 0.2, 0.007, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 905168 and 36001?\nAnswer: 6336176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0692? (a) 54\/19 (b) -5\/4 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:13 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90556 by 13.\nAnswer: -90556\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(-f + 3*f - 4*f)*(-28*f - 272 + 272).\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2382709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/51604631 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 46. Suppose -16 = -0*d - d - 4*b, 0 = -4*b + 8. Calculate the remainder when t(-16) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 56913*i - 56913*i + 91*i**3)*(-99 + 0 - 4 + 3) in the form a + k*i**2 + u*i + y*i**3 and give y.\nAnswer: -9100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3309 is divided by 276.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21363711 + -5?\nAnswer: -21363716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-70) + 35\/(-98)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30068505 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5479 - 1645 - 5250 + 1164 - 9048)*(i + 0 + 0 + 3*i**2).\nAnswer: -60774*i**2 - 20258*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 295*i + 2040.\nAnswer: 5*(i + 8)*(i + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 350 = -5*v, 4*q = -v + 3*v - 700. What are the prime factors of 1297\/3 - (q\/(-21) - 8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 11:19 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 = -2*y - 4*m, 5*m + 0 = 15. Let b = 1592 + y. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1344)\/(-840) + (-11)\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 o when three letters picked without replacement from cococoocrcc?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51 + (1 - 2 - 0\/(-12)). Suppose k*q - 55*q = -15. Solve q*f - x + 20 = 0, 2*x + 20 = -5*f + x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.2, 0, -875 in ascending order.\nAnswer: -875, -0.2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1060232, -1060230, -1060228?\nAnswer: -1060226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20\/24*16\/(-100)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 0, -1, 0.5, 1044, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3093841 rounded to 4 dps?\nAnswer: 3.3094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10\/8)\/(-2*10\/80)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -725657.351 rounded to the nearest 100?\nAnswer: -725700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 4239 - 4239.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136a19 (base 12) to base 3.\nAnswer: 121101220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -20*h**5 + 10565*h**4 - 1238160*h**3 - 48973680*h**2 + 1767415680*h - 438773760 = 0.\nAnswer: -48, 1\/4, 24, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 118, 194, 272?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is e1f2d (base 16) in base 2?\nAnswer: 11100001111100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-4)\/10)*(-6)\/10. What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233851.4 rounded to the nearest one hundred?\nAnswer: -233900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4 + 4 - 4 + 2*q - 3*q. Suppose 21*w + 8*w + 87 = 0. Give m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 8) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -20.37239614839?\nAnswer: 20.77239614839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((3 + -4)*-1). Suppose 3*i - 3849 - 7062 = k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 2\/7 (b) 4 (c) 2 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxzuhhvr. What is prob of picking 1 h and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 701307495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -26*i + 1. Let c(r) = -3*r + 15. Let u be c(6). Is d(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37313261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -322, -680, -1038, -1396?\n\"Answer: -358*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**1))*f)**38\/(f**1)**18 assuming f is positive.\nAnswer: f**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -10. Does 6 divide (l\/5)\/(5\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 + (-12 - (-42 - -220))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/10, 9.9, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -230?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1 (b) -1158 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/6 - 16. Suppose s(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -201*h**3 - 316638*h - 62160938.\nAnswer: -603*h**2 - 316638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6)*19\/(-38). Let f(z) = z**2 - 3*z + 3. Let d be f(2). Determine j, given that -y*j**2 + j - d = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7\/17, -1.6, 5 in increasing order.\nAnswer: -1.6, -7\/17, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0.2, -1.69 in increasing order.\nAnswer: -1.69, 1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43020 (base 5) in base 12?\nAnswer: -1805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2. Suppose 2*m = 2*p + 24, 2*m + 30 = 5*m - p. Let w(t) = -3*t + m*t - 8*t. Calculate w(n(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 39*y**2 + 12*y**2.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44133*k*l**3 + 4*k*l - 77758*k + 9*l**2 wrt l?\nAnswer: 264798*k*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82947 + -82932.2079. Let f = 130.2 + -145. Let z = j + f. What is z rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/6555 and -98\/34155.\nAnswer: 648945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/71 in -3, -393\/2, 932?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258566?\nAnswer: 2, 3, 47, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/11 + 328*l**3\/11 - 12418*l**2\/11 + 34988*l\/11 - 22896\/11 = 0. Calculate l.\nAnswer: 1, 2, 53, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 - 38457*i + 76902 = 0.\nAnswer: 2, 12817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(39)\/sqrt(3) + (-5*sqrt(52))\/sqrt(4).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**(3\/29))\/t)**24*((t*t**(1\/2))\/t)\/t**(6\/19) assuming t is positive.\nAnswer: t**(55835\/1102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-13)*o**(-5)*o\/(o*o**15\/o)*o\/(o\/o**(-3)) assuming o is positive.\nAnswer: o**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-280)*-21*11\/((-440)\/(-75)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + 6*o**2 - 2 + (-1 + 1 + 2*o)*(3*o - 2*o + 0*o).\nAnswer: 8*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1 - 1) + -15. Let a be (-2)\/f - (-1)\/(-3). Is a smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 27687, -3 in decreasing order.\nAnswer: 27687, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4424312 - 4?\nAnswer: -4424316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 64. Let a(l) = -3*l - 2*l**3 + 3 - 20*l**t + 25*l**2 + l**3. Let s = -33 + 37. Determine a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.4 (b) -5 (c) -12 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from aaacaaacaa?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7739.315l in millilitres?\nAnswer: 7739315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/5 - 264\/30. Let d be (a\/((-1125)\/20))\/(2\/5). What is the fourth smallest value in -0.5, -2\/13, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100102212221 (base 3) to base 9.\nAnswer: -14312787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0227365952 to five decimal places.\nAnswer: -0.02274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:01 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 905.5673 rounded to 1 decimal place?\nAnswer: 905.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jolfyxoj. What is prob of picking 1 o, 1 y, and 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -6. Let h(f) = -a*f - 2 + 0*f + 4 + 3*f. Calculate h(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 divided by 17?\nAnswer: 242\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4\/3 + 2180882*r**3\/3 - 2180878*r**2\/3 - 2180882*r\/3 + 726960 = 0.\nAnswer: -1, 1, 1090440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Let o be 3 + -4 + l + -1. Suppose -6*w + 2*w = 2*s - 126, 45 = o*w - 5*s. What is the remainder when 119 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1594918 (base 11) to base 13.\nAnswer: 740a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -8. Let q be (-4)\/78*(-3 - 36\/x). Which is the biggest value? (a) 5 (b) 0 (c) q (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-1221) + (-845)\/1480\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 11:04 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - 4*m + 6*m)*(-3*m + 3*m - 8*m)*(-m + 2*m + 4*m) to z + x*m**2 + y*m + o*m**3 and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 40*w + 8*w**2 + 30*w - 17*w**3 - 2*w**4 + 13*w**2 + 40*w - 107*w in the form r*w**4 + s*w + h*w**2 + b + q*w**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -73. Let p be (3 + j)*(-28)\/21. Which is the third smallest value? (a) 0 (b) p (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252344 - 2501?\nAnswer: -255245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 0.2. Let z = -1.1 + f. Let n = -1.4 + z. Which is the second biggest value? (a) n (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3244524 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/18 and 37\/3010570.\nAnswer: 27095130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -w + 20 + 26, 47*w + 24*i - 35*i + 208 = -18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**2 + 98*i + 1376. Calculate z(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:58 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/380954 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*p - 336, n + 5*p - 3 = 111. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**3 + 7*w**2. Let l(n) = -436*n**3 + 3 + 433*n**3 - 3 + 2*n**2 - 5*n**2. What is 3*c(g) + 7*l(g)?\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3\/6 - 2503*f**2\/3 + 1443409*f\/6 - 17875984 = 0.\nAnswer: 151, 4704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + n + 276 = 3, 0 = -4*x + 2*n + 222. Calculate the greatest common factor of 846 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzo when three letters picked without replacement from {v: 3, p: 3, d: 1, z: 3, o: 3, h: 7}?\nAnswer: 3\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 110110010010100?\nAnswer: -110110010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2\/(-4))\/((-4)\/8). What is the closest to 0.26 in 2\/3, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 856 and 2.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19472 - 7451. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 42. Suppose 5*o**3 + 3*o**2 + 4*o**d + 3*o**2 - 5*o**4 = 0. What is o?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53332771?\nAnswer: 43, 139, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161644*a**3 - 1569110 wrt a?\nAnswer: -484932*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 + -105. Suppose 0 = z, -3*g - 2*z - 3 = 3. Let m be j\/(g + 4)*2. What is the highest common factor of 6 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnyynyynninnnn. What is prob of sequence nyi?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2026 - -2031. Let m(f) = -2*f**2 + 15*f - 25. What is m(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4 + 4749*y**2 - 4744*y**2 + 149*y - 5. Is 9 a factor of n(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 2. Suppose -4*r = 2*t, -t = -0*t + 5*r + 6. Suppose t = -v - v. Which is the nearest to 2\/5? (a) v (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44674460 rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13793, -27579, -41359, -55133, -68901, -82663?\n\"Answer: 3*v**2 - 13795*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(68) + sqrt(68) - (sqrt(68) + (sqrt(68) - (5 + 2*sqrt(68))))) + ((sqrt(85) - sqrt(85)*-1)\/sqrt(5) - (1*sqrt(833) + sqrt(833)))*4.\nAnswer: -50*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -388*n + 2099. Calculate the remainder when 516 is divided by i(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}