diff --git "a/data/dm_maths/full_data_2/10171_11255.jsonl" "b/data/dm_maths/full_data_2/10171_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10171_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Does 8 divide 44325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 1027*i**4\/2 - i**2 + 61*i - 87. What is the second derivative of s(q) wrt q?\nAnswer: 12324*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -10, -48, -122, -244, -426?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7 - 19 = 0. What is the closest to 1 in 2, -1\/2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -985, -265, 7641, 28217, 66947, 129315, 220805, 346901?\nAnswer: 513087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -40870, 0.1, -0.1, -3, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039194456 rounded to 7 dps?\nAnswer: 0.0003919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 975 = -h - 3*a + 977, 5*a - 18 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 321.34 and -108406580.\nAnswer: -108406258.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50212 times 57\nAnswer: 2862084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + 3 + 0) - -3 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74255940 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10720569?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -379 - 476. Do 45 and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002298 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40695, -40673, -40651, -40629, -40607?\nAnswer: -40585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t - 9. Let p = 0 + 4. Calculate the remainder when t is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1152 - -30?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 6. Let m be h(5). Suppose 5*c + 12 = -y + 2, -m = 4*y + 2*c. Solve -3*k + s + 16 = y, -3*k - k - 3*s + 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-8)*11*4*-53.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -17*g + 54370. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 32*h + 342. What is a(-40)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v**2 - 32*v**2 - 24*v**2 + 100*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 5787051896.\nAnswer: 5787051897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 35*k**2 - 94*k - 69. Let f be j(32). Let u be (-295)\/354*1\/f. Which is the fourth biggest value? (a) u (b) 1 (c) 19 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*q + 32 = 0, 2*x - 21 = 74*q - 71*q. Suppose 0 + 1\/5*t**x + 0*t + 1\/5*t**2 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192830.8 * -2\nAnswer: -385661.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66924.9591 - 66929. Let l = y - -0.0409. Sort -0.2, 3, l, -0.3 in descending order.\nAnswer: 3, -0.2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 14*k**2 + 1\/60*k**6 + 7\/20*k**5 + 0 + 0*k**4 - 2\/105*k**7 + 0*k**3 + 0*k. What is the third derivative of p(f) wrt f?\nAnswer: -96*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c = 2*f + 41*c + 5, -3*c - 10 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13971001 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.23 and 3.512667.\nAnswer: 3.742667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*u + 10*u = 188, 3*u + 18 = 0. Solve f*v = 44*v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*n - 4, 5*s - n + 21 = 0. Let j be 1*(s - (3 - 6)). Let g be (2\/((-2)\/j))\/(23\/69). Solve 4*d - 12 = -3*l + d, -5*d = -g*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 77458649603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 5253*z + 78570. What is d(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/9, 452, -6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22422271 and 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/19082988 and 95\/44748.\nAnswer: 209912868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 - -404. Let l = f - 595.05. What is l rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 24, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.42 + 0.08. Let f = m - 0.2. What is the closest to -0.1 in -1\/3, -0.4, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p - 93*p - 12799 + 49231 = 0. Does 69 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -161*j - 3. Let c(d) = -6*d + 3. Calculate 3*c(i) + l(i).\nAnswer: -179*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (138\/(-9))\/((-5)\/15). Let v*p**4 + 2*p**3 - 49*p**4 - 5*p**3 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0*o + 1\/70*o**7 + 0 + 3*o**2 + 0*o**6 + 3\/20*o**5 + 0*o**3 + 0*o**4. What is the third derivative of d(c) wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613, -657, -703, -751?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k = 13*k + 76516. Suppose 0*l + 3*l = -7317. Let i = l + k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-35)\/60) - 3. Solve -2*k = k + z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0.2, -2\/5, 19\/2, 6\/31.\nAnswer: -4, -2\/5, 6\/31, 0.2, 5, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 145922?\nAnswer: 145922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622926.\nAnswer: 2, 3, 34607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 19 - k**2 + 0*k**3 + k**3 + 0*k - k + 0*k. Let i be c(0). Suppose 11 = w - i. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbbfpb. Give prob of picking 2 f and 1 b.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-351)\/624*(-2)\/3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -378142700 rounded to the nearest 1000000?\nAnswer: -378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from cwwaawwawwaaewwc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.6 - -15. Let d = 2 - 6. What is the third smallest value in d, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/237 and -97\/30?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -14*a + 301. Solve 0 = 4*r + a - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 3:04 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*n - 8 = 0, 0*y = -3*y + 3*n + 18. Suppose 0 = -l + 4*v - 3 - 2, y*l - 18 = -3*v. Solve 2*d + x = -l, 6 - 4 = -2*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:46 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 5 = -57 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 3. Let v be q(0). Suppose 68 = v*z + 23. Solve -5*f + j = 24, -f + 2*j + 3 = z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 60*w**2 - 358*w - 14514. What is r(-62)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3009*v**2 + 765*v**2 + 749*v**2 + 761*v**2 + 721*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17611 and 590392?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 - u**2 - 2*u + 1. Let f(p) = 27*p**3 + 2*p**2 + 2. Give f(l) - 2*j(l).\nAnswer: 31*l**3 + 4*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251927 is divided by 812980.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.446327 minutes to nanoseconds.\nAnswer: 566779620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 69*h**2 + 428*h + 1470. Determine n(75).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 - 3*r**2 + 32*r - 11. Let i(u) = -u**3 - u**2 + 11*u - 4. Let s(n) = -17*i(n) + 6*j(n). Let x = 3 - 6. Give s(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 253 + 295 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(24)*-6)\/(sqrt(48)*-2).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*z**5 + z**4 - 225736*z**3 - 20*z + 5458?\nAnswer: 120*z**3 + 12*z**2 - 1354416*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(720) - sqrt(45)*-1*4))\/(sqrt(9) + -5*sqrt(324) + -3*sqrt(9)*-3).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, c: 1, a: 1, b: 9}. Give prob of picking 1 b and 1 z.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - -1*(3 - 1). Suppose 0 = 3*l + m - 149. Suppose l = -4*x + 8*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 24 = -17*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01191325 to five decimal places.\nAnswer: 0.01191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 100 = -14. Let w be (p\/(-6))\/(6 - 5). Let z = -24 - w. What is the common denominator of -32\/17 and z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*i + 113 - 7, a = -i + 20. Let r = a + -11. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 4 - 4)*36\/(-3). Suppose 3*u = -u + j. Suppose n + 143 = 4*d - u*d, -5*n = -d + 135. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/4)\/p*(p\/(p\/p**(3\/7))*p)\/p*(p**0\/p)\/((p**(1\/6)\/p)\/p) assuming p is positive.\nAnswer: p**(85\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0\/(-3) + 13. Let p be 1\/((-3)\/y) + 26. Calculate the highest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28747, 58006, 87265, 116524, 145783?\n\"Answer: 29259*c - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1908469 + -4?\nAnswer: -5.1908469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {e: 3, y: 3, z: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 56?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s**(-1\/53)*s))*s*s**(-2\/11) assuming s is positive.\nAnswer: s**(1049\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {d: 3, y: 4, w: 1, z: 2, o: 3, g: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 7*x + 20 = 4*o, -3*o - 7 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 1, 3, -4 in descending order.\nAnswer: 33, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395749 is divided by 965.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - a - 8, 6*a - 14 = -2*k + 10*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -x - 43, 0*c + 3*x + 33 = 4*c. Suppose -9*d + c*d = 99. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2266.\nAnswer: 18128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865*u + 44332 - 5407 = 0 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 186670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -512, 2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69851892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-36) + 0*(-5)\/40)*60.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1285*x**2 - 1495.\nAnswer: -2570*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27371 and 8401.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/115 + 7\/23. Suppose -1749*n + 6 = -1755*n. Let v = 0.06 + -0.36. What is the nearest to 0 in p, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8857468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -261*j**3 - 33*j**2 + 11*j - 78. Let f(l) = -65*l**3 - 9*l**2 + 3*l - 20. Calculate 22*f(m) - 6*z(m).\nAnswer: 136*m**3 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owan when four letters picked without replacement from {w: 9, o: 3, a: 1, h: 3, n: 1, r: 1}.\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 12 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 17}. Give prob of sequence gg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l. Let d(o) = -236027*o**2. Give f(d(q)).\nAnswer: 708081*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*r = 374, 2*r = 5*c - 0*r - 911. Let t = -2015\/11 + c. Let k = -3.1 + -0.9. Put t, k, 1 in decreasing order.\nAnswer: 1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4906 + 4862.81. Let y = 45.4 + l. Round y to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-18))\/(2\/(-3)). Suppose 0 = 3*o - 3*t - 3, 4*o - 3*t + 0 = 3. Factor 0 + 1\/4*f**5 + 1\/4*f**2 - v*f**4 - 1\/4*f**3 + o*f.\nAnswer: f**2*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from jrjncfr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w + 17*w + 15*w + (2 + 1 - 2)*(3*w - 5*w + 4*w) - w + 2*w + w + (0 + 1 - 3)*(-3 + 3 + w) - w - w + w - 2*w - 4 + 4 to b + v*w and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 694, 3817, 6942, 10069, 13198?\n\"Answer: s**2 + 3120*s - 2427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 12*p**2 - 12*p - 16. Let w be z(13). Find the common denominator of ((-231)\/(-9) - -2)\/((-2)\/w) and -27\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4590 divided by -6\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4 - 182*x**3 + 11313*x**2 - 276100*x + 2302388 = 0.\nAnswer: 22, 67, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18426 (base 10) to base 14.\nAnswer: -6a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 0, -4, 3, -2.\nAnswer: -99, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -799, 193, 2895, 8159, 16837?\nAnswer: 29781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 16*g = 8*g - 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4947046, -2 in descending order.\nAnswer: 3, -2, -4947046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2322 - -1211000231?\nAnswer: 1211003213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 11 = 55. Suppose -4*c = -5*u + 58, 4*c = 3 - k. Calculate the remainder when 18 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 31*h + 63. Let a be v(-2). Calculate the highest common divisor of a and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -14. Let j be 3\/(-2)*2\/12. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76402662.\nAnswer: 2, 3, 7, 31, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2169 + -1114. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28175 is divided by 296?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 0.3, -30, -5, -2\/11, 19 in descending order.\nAnswer: 19, 0.3, -2\/11, -4\/7, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 266 (b) -1 (c) 186\/11 (d) 0.1 (e) -3 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 8066853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6dcb (base 15) to base 4.\nAnswer: 11231012","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.311, 8\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43505 is divided by 21748.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 172 + 48 = -2*j, 5*j = -2*i - 67. Let d = 309 - 338. Let s = d - i. Is s less than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 52068000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/21)*d\/(d**(-2)\/d))\/(d**7*d**(-2)\/d))\/(d*(d*d**(-4\/7)*d*d)\/d*d\/(d**2\/d))**43 assuming d is positive.\nAnswer: d**(-2174\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 35 = 3*k. What is the smallest common multiple of 13 and k?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178007 (base 10) to base 11.\nAnswer: 111815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 5812*j + 5807*j + 6, -4*j - 16 = 0 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 8*l = 5*l. Suppose -3*n + j + 4 = 0, l*n - 2*n + 5*j - 6 = 0. Determine a so that -2\/23*a**n - 4\/23*a + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9464 + -0.0536. Which is the biggest value? (a) 14 (b) -2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 0.15. Let l = -304 - -35. Let q = l - -274. What is the fourth biggest value in q, -0.2, -2\/17, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-493)\/68)\/(2\/(-56)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/46 + (-52060)\/(-64400) + (-18)\/24?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 + -cca3?\nAnswer: -cc57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5088244ml to litres.\nAnswer: 0.0005088244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 33 = 4*o, 2*o - 12 = -2*j - 2*j. Solve -5*s = -s + o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9*y + 3 = 0. Suppose 14 = -5*j - 3*n, -3*j - 12 = 2*n - 3. Which is the closest to y? (a) -3\/2 (b) 0.26 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*c - 184*c - 179*c - 178*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/6 - 8*g. Let t(z) = -10*z**2. Give h(t(r)).\nAnswer: -200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.5 + 10. Which is the third smallest value? (a) 4 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5031, -7750, -10453, -13134, -15787, -18406, -20985, -23518?\n\"Answer: l**3 + 2*l**2 - 2732*l - 2302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 - 13)*4*1. Suppose 2*t = 6 + 2, 0 = -4*b - i*t + 524. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-16)\/o)\/(o*(o\/o**18*o)\/o*o))\/(o**10\/(o**(2\/59)*o*o)))**(8\/5) assuming o is positive.\nAnswer: o**(-4704\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 43067, 86185, 129299, 172409?\n\"Answer: -2*b**2 + 43124*b - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1940*n**2 + 16*n + 20. Does 149 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -1. Let j = f + -0.2. Let k = 73 + -508\/7. Which is the third smallest value? (a) j (b) 2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -693*g**2 + 4*g + 33. Let k(b) = -11*b**2. Calculate i(k(l)).\nAnswer: -83853*l**4 - 44*l**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5973368 to the nearest integer?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3*a**2 - 4 + 0 + 8.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16008)\/(-27))\/4 - (-8)\/(-36). Calculate the highest common factor of d and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*s, s - 32 - 253 = -3*g. Calculate the remainder when g is divided by 84.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:58 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 + 3616*j**2 - 618299*j - 621916 = 0 for j.\nAnswer: -1, 181, 3436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27038\/19 - -1423. Let d = -3 + 2. Is t greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.63\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:03 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -238a311 (base 11) in base 7?\nAnswer: -50222535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6648 is divided by 3319.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 1. Let n(i) = -2*i - 14. What is -g(v) - n(v)?\nAnswer: v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -9. Let j = i - 6.3. Let l = 9 - 26\/3. Which is the closest to l? (a) j (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4961 = 3*g + 4988, 0 = 5*g - 3*s + 45 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1703\/30 + -278\/5. Let x(y) be the third derivative of 0*y - 1\/24*y**4 - t*y**3 + 1\/60*y**5 + 0 + 2*y**2. Give x(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 4*b**2 + 7*b. Let o(i) be the first derivative of -i**4\/2 - i**3 - 3*i**2 - 4. What is -5*o(u) - 4*y(u)?\nAnswer: 2*u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 399 + -378. Let z = t - 21. Let j be ((-33)\/(-6))\/((-2)\/(-4)). Solve z = 2*c + 3*f - 18, -c = -6*c + f + j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7765, 15465, 23165, 30865, 38565?\n\"Answer: 7700*d + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 2*n - 6. Calculate f(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2891 - -7480. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48393 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1454*m - 2295 + 1142 + 1153 as d*m + g and give d.\nAnswer: -1454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2889533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/7 (c) 2 (d) 127 (e) 0.1 (f) -2\/1693\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69700155*g**3 + 130345563*g wrt g?\nAnswer: 418200930*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -62040066?\nAnswer: -1\/20680022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098 = 10*k + 14*k - 1266 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahamhmammhahmmmmm. What is prob of sequence aaa?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 6*(sqrt(75) + sqrt(3) - sqrt(3))**2 + sqrt(75) + 0 + 1.\nAnswer: 6*sqrt(3) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1370 divide 170224576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31468 or 31475?\nAnswer: 31468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 560.1 (b) 3 (c) 1\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-7))\/((-1)\/(-35)*-1). Let r(u) = -j + 3*u**2 + 3*u - 2*u + 36. What is r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(756\/(-56))\/(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 385*x**2\/2 + 112*x + 698. What is the first derivative of m(l) wrt l?\nAnswer: 385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let m(k) = q + 3 - 1 - 3. Suppose -3*d = -5*g + 18 - 2, 8 = 5*g + d. Let i(j) = -j + 1. Calculate g*m(w) - i(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 1, f: 3, n: 2, s: 1, d: 3}. Give prob of picking 2 d and 1 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 5 = 3*j. Solve 4*q - 2*q + j = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y + 17714 + 52906 = 20*y. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0111 times -0.2\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzqz when four letters picked without replacement from {q: 2, z: 5, s: 13}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 2 - 2)*(-2 - 5 - 2)*(-14 - 10 + 16)*(-2 - 1 + 4)*(0*g**2 + 5*g**2 - 2*g**2) in the form p + d*g + x*g**2 + h*g**3 and give h.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14746 - -10?\nAnswer: -14736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 33 = -4*b - 55, -d - 5*b - 2 = 0. Suppose -5*p = -27 - d. Put 1\/2, p, -2 in increasing order.\nAnswer: -2, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 595123*t**2*x**2 + 5860400*t**2*x - 6*x**2 wrt x.\nAnswer: 1190246*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*x - 1597 - 1121 = 532 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x**4 - 17826*x**3 - 156446*x**2 - 322056*x - 161064 = 0 for x.\nAnswer: -6, -2, -3\/4, 2237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 17 = 3*y, q - 4*y = 19 - 35 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10955085 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-6)\/(17\/(102\/45))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -i - i + 18, -2*j - 5 = i. Suppose i*p - 64 = -p - k, 25 = p - 2*k. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*a - 2908 = -7748 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16459 times -0.07?\nAnswer: 1152.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1348*v**2 + 0 + 0 - 1359*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11854.\nAnswer: 2, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (820\/(-6))\/((-172)\/(-74304)). What is h rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 79 + 30*s**2 + 209 + 26*s**2 + s**3 - 11*s + 9*s. Let r be v(56). Solve 2*u + r = 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4 (c) -66 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 17*b**2 + 66*b + 524. Determine h(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -10, -1, 1 in increasing order.\nAnswer: -15, -10, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664602.\nAnswer: 2, 23, 36187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/23, 5\/6, -0.1, -5 in decreasing order.\nAnswer: 5\/6, 1\/23, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/40 - 4\/(-8))*40\/(-180)*-279?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -22. Let i = h - -15. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26574 and 1648.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24234 (base 14) to base 7.\nAnswer: -515164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 439 + -3074\/7. What is the closest to 65 in v, -2\/7, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26600 and 560.\nAnswer: 53200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 4. Let s(v) = 4. Let u(a) = -a**2 + 5*a - 3. Let t be u(5). Let o(p) = t*s(p) - 4*y(p). Let k be (1 - (-1)\/(-4))*4. Give o(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2*i*w + 4*c**2*w**2 - 207*c**2 + 96443*c*i*w**2 + 4*c*w + 2*i + 6*w**2 with respect to i.\nAnswer: 3*c**2*w + 96443*c*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17947*q**2. Let n(h) = 2*h**2. Calculate n(d(p)).\nAnswer: 644189618*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - -40?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 586 + -581. Suppose -2*d = p - 4 + 2, 0 = 2*p + d - 7. Solve -2*z - 20 = -p*s, k*z = -0*s - s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o - 5. Let p = 35 + -34. Suppose -y - p = 4. Let b(h) = -11*h - 8. Give y*b(i) + 8*j(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -246, -508, -796, -1122, -1498, -1936?\n\"Answer: -2*i**3 - i**2 - 245*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:20 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 16 - (-1 + (0 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 12*o + 90. What is the common denominator of -29\/42 and 1\/(3\/o) - 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z - 31*z = 153 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5352 - 10691 + 4*z + 5342 + z**2 + 3*z. Let x be 2\/2 + -7 - -2. Determine r(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Suppose 1 = z + 2. Let r be (z - -1*4)\/(-1). Sort c, -5, r in decreasing order.\nAnswer: c, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*-2*sqrt(132))\/(sqrt(192)*3 + sqrt(12)).\nAnswer: -2 - 6*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/62, 115, -0.052 in ascending order.\nAnswer: -0.3, -0.052, -1\/62, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -21 + 3 - -7. Put u, 0, -11, 3 in ascending order.\nAnswer: -11, u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183378 is divided by 4366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (0 + 0))\/(-1). Let w(d) = -29*d + 16. Let s(j) = 9*j - 5. Let f(c) = -6*s(c) - 2*w(c). Give f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1682*f**4\/5 + 580*f**3 + 896*f**2\/5 + 64*f\/5.\nAnswer: -2*f*(f - 2)*(29*f + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 781644751?\nAnswer: 781644751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/28 and -179\/48944112?\nAnswer: 48944112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 6*a + 10 = 3*v, -5*a - 3*v = -25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -255, -225, -167, -75, 57, 235, 465, 753?\n\"Answer: x**3 + 8*x**2 - x - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -20a828?\nAnswer: 20a81a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 - 16*n + 104. Is h(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 18*v - 26 = 0. Suppose o - 2*o + m + 157 = 0, 4*m - 443 = -3*o. Let d = o - 103. Calculate the remainder when d is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z - 5838 - 4914 = 0. Calculate the highest common factor of 3192 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -0. Let d(w) = 3 + w - p. Let z(v) = -v. Let l(r) = 6*r. Let f(y) = l(y) + 5*z(y). What is f(d(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303441012 - 10?\nAnswer: 303441002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 348. Suppose -v - 6*v + y = 0. Let t = v + -13. Calculate the greatest common factor of 8 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 214*x**2 + 10. Let k be y(-4). Let p = k - 1771. Let d = 3816 - p. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (469\/(-28) - -15)*4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**5 + j**4 + 10*j**3 - 2*j**2 + 5. Let r be (15 - 18)\/((-6)\/10). Let h(x) = -x**5 - 9*x**3 + 2*x**2 - 4. Let o(z) = r*h(z) + 4*n(z). Factor o(p).\nAnswer: -p**2*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1527375632 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrroorrrorrro. Give prob of sequence oor.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 73, 113, 157, 205, 257, 313?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369524?\nAnswer: 2, 92381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 + 231. Let c be v\/3 + 748\/510. Factor -6\/5*u**3 - 12\/5*u + 1\/5*u**4 + 13\/5*u**2 + c.\nAnswer: (u - 2)**2*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74949248 a multiple of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 b when four letters picked without replacement from {g: 3, b: 11}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*v + 165. Calculate the least common multiple of v and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 1562*x\/3 - 3136.\nAnswer: (x - 1568)*(x + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008452 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871910600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319\/(-66) + (20\/5 - -1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + 24 - 24)*(-20*n - 15 + 1 + 76*n - 9*n + 91*n).\nAnswer: -966*n**2 + 98*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + r**3 - 8 + 3 in the form c*r**2 + i*r + k + j*r**3 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 1:15 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9091359 to the power of 1\/2, to the nearest integer?\nAnswer: 3015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/184 >= -289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1199177 from 10.326.\nAnswer: -1199166.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 476332 - -35?\nAnswer: 476367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(85) - (sqrt(85) + 2*3*sqrt(85) - sqrt(85)))\/((sqrt(10) + 3*sqrt(90) + sqrt(10))\/sqrt(2)*-3).\nAnswer: 26*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 245 = 23*x - 26*x, 2*x + 3*g - 172 = 0. Suppose 5*m + 2*y - x = 6427, 3*m + 4*y - 3906 = 0. What are the prime factors of m?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g*g*g**9*(g*(g*g**(-3\/4)*g)\/g)\/g**3)**41 assuming g is positive.\nAnswer: g**(2173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*o = -2*v + 6, v - 4*o + 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + sqrt(143)*-2)*1 - -6*1*sqrt(143))*1)\/(sqrt(275) + -3*sqrt(275) + sqrt(891)*-1 + sqrt(891)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*t**3 - 33*t**2 - 8403*t wrt t?\nAnswer: 282*t - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + 644751*u + 2*u**2 - 644742*u + 2 - 5*u**3 + 2*u**3 to the form x + b*u**3 + q*u**2 + m*u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23481087 is divided by 48?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -1. Let j be (-2)\/u - 31\/(-6). Which is the second smallest value? (a) 3 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + (sqrt(99) - (4*sqrt(99) - sqrt(99)))) + sqrt(99) + (1*(sqrt(99) + sqrt(99)*1 + sqrt(99)) - sqrt(99)))\/(-4*2*sqrt(1296)*6)*-2.\nAnswer: sqrt(11)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26a8d (base 15) to base 8\nAnswer: -361753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504905313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111742 is divided by 48.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 6\/5 (c) -0.141 (d) -1\/6 (e) 4 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 26*t**2 + 139*t - 38. Let d be w(-18). Solve -z - d = -14*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2025, -2048, -2097, -2184, -2321, -2520, -2793, -3152?\n\"Answer: -2*h**3 - h**2 - 6*h - 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 109.76. Let s = d + 1.56. Let x = 0.06 - 0.16. Which is the nearest to -11? (a) -2 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.604765 rounded to 2 dps?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*55\/(-1485)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3220 + -3215. Sort a, -3831, 0 in increasing order.\nAnswer: -3831, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4468 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162274*o**5 - o**4 + 2*o**3 - 211*o**2 - 10036?\nAnswer: 9736440*o**2 - 24*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3074105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**2. Let a(x) be the first derivative of x**2\/2 - 210*x + 381. Determine a(k(w)).\nAnswer: -4*w**2 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 34, 2, 35.\nAnswer: -3, 2, 34, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*q - 21485140 = 149*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760 a factor of 94913680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/40*(192\/4)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Let z(w) = 12*w + 87. Let p be z(-7). Solve p*q = -k, -2*q = -g*k + 6*k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 15, 2*m - 4*p - 28 + 16 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35679b + 3c?\nAnswer: -35675d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 11 = -2*h + u, -2*u = h - 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126756123?\nAnswer: 3, 13, 3250157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18600, -74337, -167232, -297285, -464496?\n\"Answer: -18579*g**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 163 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 5, 138181 in increasing order.\nAnswer: -3, 5, 7, 138181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*u = 29*u + 155*u + 5278 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/2*((-60)\/45)\/(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 247876095 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 6*z**2 + 2. Let i be t(-6). Suppose -b - 3*x - 4 = -0*x, 0 = 4*b + i*x - 24. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let l be ((-12)\/(-9))\/((13\/(-52))\/(27\/(-24))). Calculate t(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*u = -5*u - 46, -8 = -4*u. Suppose -4*s - 2 = -v. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 18 + 18. Suppose -6048 = -s*n - 6*t + 3*t, -3*t = n - 2014. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 376 and 6867076?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g - 5*g - 3*g + 3*g - g. Let y(j) = -2821*j. Give y(p(f)).\nAnswer: 5642*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {s: 2, c: 2, e: 8, h: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, w: 5, c: 1}. Give prob of picking 2 w.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 375480 greater than or equal to 375480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25777231 (base 9) to base 7.\nAnswer: 212562253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(9\/5))**43 assuming v is positive.\nAnswer: v**(387\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 1 = 3*t. What is the highest common divisor of t and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 243156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*o + 854*o + 543*o - 197*o - 1444 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 22*m - 26*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -4, 13 in increasing order.\nAnswer: -198, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 22*h**2 - 8*h - 47. Let a be b(-21). Let f = -293 - a. Let r(c) = 3*c**2 + 5*c - 4. What is the least common multiple of f and r(-4)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*r = 4164, -6250 = -3*j - 9*r + 4*r. Is 29 a factor of (-112)\/18 + 6 + j\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119931629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 1270791.\nAnswer: 8895537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y = 3*m - 9, 5*y - 95*m + 93*m + 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14201, 14198, 14191, 14180, 14165, 14146, 14123?\nAnswer: 14096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 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 h = -416 + 419. Let v(p) = p**3 - 4*p**2 - 4*p + 4. Let n be v(5). Which is the second smallest value? (a) h (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(2\/7)\/(z**0*z*z\/(z*z**1*z*z)*z))\/(z\/(z\/(z**7*z)*z)*z**7\/z)**(-4\/37) assuming z is positive.\nAnswer: z**(475\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -421?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 61679?\nAnswer: -61675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.059, -4, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5048*j**2*t**3 - 9*j**2 - 79*t**2 wrt t?\nAnswer: -30288*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175 + 174. Let p(c) = 3*c**2 - 6*c**2 - 3*c**2. Let k(t) = t**3 - t**2 - t - 1. Let o(y) = a*p(y) + 3*k(y). Factor o(b).\nAnswer: 3*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26435.6 + -0.061335469.\nAnswer: 26435.538664531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 3164.\nAnswer: 139216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 23*i**3 - 18*i**3 + 79*i.\nAnswer: -2*i**3 + 79*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 810633474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 41 + 87 + 15044*x.\nAnswer: 15044*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 588\/(-77))*2\/(-4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78757, -315015, -708785, -1260073, -1968885, -2835227, -3859105?\n\"Answer: -k**3 - 78750*k**2 - k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6536, 9322, 12108, 14894?\nAnswer: 17680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14076 divided by 6?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s + 7*s**3 - 34*s - 10 - 12*s + 4*s + 43*s**4 - 2*s wrt s?\nAnswer: 516*s**2 + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u - 4*t + 20, 5*t = -2*u + 24. Suppose 0 = -2*m + 2 + u. Find the second derivative of -z**5 + m*z + z - z wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 35 = -0*r. Suppose 0 = -5*c + r + 13. Suppose -p = 2*n - 10, -n = c*p - p - 25. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h - 13*h**3 + 5*h**3 - 21*h + 10*h**3 to the form w*h**2 + j*h + z*h**3 + d and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 50 = 3*k + 69, -2*k - 5*x = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922752 is divided by 461374.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*w + 3 + 3*w)*(33*w + 2*w**2 - 32*w - w**2).\nAnswer: 3*w**3 + 5*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**3\/3 + 36*l + 5. Let d(j) = -654*j + 1. Give d(c(k)).\nAnswer: 1308*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-2) - 10)*(-1559)\/3. Suppose 9*n - r - 9898 = 0. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a + s = -6953, 0 = a + 5*s - 3493. List the prime factors of a.\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x**2 - 6*x**2 - 4 - x**2 - x - 2*x**3. Let j be q(-6). Let d(f) = -f**3 + 2*f - 1. What is d(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.133861 - -188.88.\nAnswer: 189.013861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v**3 + 3058*v**2 - 67160*v = 0 for v.\nAnswer: 0, 23, 1460\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + r**2 + r. Let w(n) = -n**3 - 5*n**2 - n + 4. Let t(f) = -2*f**3 - 5*f**2 + 5. Let j(c) = 3*t(c) - 4*w(c). What is -4*g(z) + j(z)?\nAnswer: 2*z**3 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471 = -2*f + 3*r, -2*r = -f + 5*f - 918. Suppose -5*c = -3*m - 2*c + f, -2*m = -5*c - 151. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 2 - 2)\/(-2). Let w be 9\/(-12) + 102\/72. Which is the closest to d? (a) -0.5 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -1.1. Let n = x - -1.00000001. Round n to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1609878 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.43469 - -0.43729. Let y = -62 + 28. Let p = y - m. What is p rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113049461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - 2*m**2 + 1 - 2)*(359*m - 1535*m + 59*m).\nAnswer: 5585*m**3 + 1117*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*r**2 + 4 - 2 - 5*r to l*r + k + w*r**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50581420?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.4 + -7.6. Let g = -31.000007 - s. What is g rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*d*h*m - 5*d*h*q - 2*d*h + d*m*q + 13*d*m + 5*h*m*q + 6118*m*q + 10*m wrt q?\nAnswer: -5*d*h + d*m + 5*h*m + 6118*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72614896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h - 350399. Let w(q) = -2*q. Determine w(n(s)).\nAnswer: -18*s + 700798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:01 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125257 is divided by 274?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(256\/(-110))*1 and 51\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2))**(-40)\/(w**(-1\/3)*w)**37)**(-15))**(9\/8) assuming w is positive.\nAnswer: w**(-3735\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u + 53. Calculate k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2 = -h, h - f - 3*f = 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbspkkfffssbkfffkk. What is prob of sequence sbb?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 157*h**2 + 12*h - 61. Is i(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*x**3 - 13*x**4 + 1027*x - 18*x**3 - 18*x**3 - 155*x + 8*x**5 wrt x?\nAnswer: 160*x**3 - 156*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 40 = -c - 3*x, 0 = -2*c + 3*x - 5. Suppose -92 = -c*r - 22. Let a(j) = j**3 - 13*j**2 - 12*j - 8. Let d be a(r). Solve d = -5*l + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.0019 - 0.0019. Which is the closest to 0.1? (a) i (b) 54 (c) -8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*u - 58*u - 24. Solve -3*z + 4*m = -5, -3*m - 20 = 5*z - u*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 30 + 10. Suppose 0*g = 5*g + 2*n - 524, 0 = -2*g - i*n + 197. What are the prime factors of g?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - b - b)*(0 + 0 + 2) + 0*b - 3*b + 0*b - 7*b - 3*b - 27*b to l*b + m and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -29, -70, -123, -194, -289, -414, -575, -778?\n\"Answer: -q**3 - 34*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 5*u + 7 + (1 + 2 - 2)*(3*u + u - 2*u) - 21 - 6*u + 21 + 20 - 20 + 38*u.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + -1 - 3 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 2461?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {s: 2, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 429231, 858455, 1287675, 1716891, 2146103?\n\"Answer: -2*j**2 + 429230*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**2 + l - 35. Let c(k) = k - 11*k**2 - 3 - 10 + k - 17 - 5. Let r(m) = -3*c(m) + 4*x(m). Differentiate r(w) with respect to w.\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 281?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a, -k + 41 + 27 = -5*a. Suppose 7*o - k = -o. Let d(f) = -3 + f**2 - 6*f - o + 4. Determine d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + u - 44, 0 = w + 3*u + u + 4. Suppose 52*s + 5*f = 49*s + 29, -3*f = 5*s - 75. Calculate the least common multiple of s and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**8\/224 - 3*o**7\/35 - 3*o**6\/8 - 7*o**5\/10 - 9*o**4\/16 - 30*o**2 - 1. Factor v(s).\nAnswer: -3*s*(s + 1)**3*(s + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 9, 0.5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 66*f**2 - 448*f + 384.\nAnswer: -2*(f - 24)*(f - 8)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 - 9*o + 13. Let s = 608 - 613. Let j be c(s). Solve -4*m + 4 - j = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4 - 27*s**3 - 3400*s**2?\nAnswer: -24*s - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7*6*377\/(-2262)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.2138 centuries in decades?\nAnswer: 7112.138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.888 and 4524.21?\nAnswer: -4017.49848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 458 - -0.9871351497.\nAnswer: 458.9871351497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.519612 millimeters?\nAnswer: 5519612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 68. Solve 5*o + 4*s + 14 = m, 4*s - 2*s = 2*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5848 = a + 3*x + 1709, -16512 = -4*a - x. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n. Let o(p) be the third derivative of 0*p + 0 + p**2 + n*p**3 + 0*p**5 - 1\/420*p**6 + 1\/84*p**4. Suppose o(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4\/4 + 18111*i**3\/4 + 12665313*i**2\/4 + 2338256049*i\/4 - 2389207269 = 0.\nAnswer: -5263, -389, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/1260 + l**5\/360 - 33*l**2 - 2*l. Factor j(d).\nAnswer: -d**2*(d - 1)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 + 133. Calculate the remainder when 6 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73730000 to the nearest one million.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17083 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/207 in -4, 0, -1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g + 1. Let n(p) = 6*p**2 + 7*p + 7. Let d(z) = 4*z**2 + 5*z + 5. Let i(h) = -7*d(h) + 5*n(h). Give i(u(m)).\nAnswer: 162*m**2 - 36*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/(-441) + (-4)\/7 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1653 is divided by 497.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -107991 divided by -11999?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 879561852 to the nearest integer?\nAnswer: 29657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(91) + sqrt(91)*3 + sqrt(91) + sqrt(91)))\/(sqrt(175) + sqrt(175)*2).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (260\/30)\/((-2)\/(-654)). Suppose -18560 - t = -38*r. List the prime factors of r.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-1) + (0 - 2). Suppose l - 2*c = g*l + 1, -2*c + 17 = -5*l. List the prime factors of (-35)\/l - (-2)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 4.2. Let o = -0.7 + -0.3. What is the closest to 2\/3 in f, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -d4f8?\nAnswer: -d4f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64\/5 of a meter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1159343577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 7 + 9. Suppose f*d + 81 = m, 0 = 2*m + 2*m - d - 309. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 88626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = -v. Suppose -2*l + 3*p + 446 = 0, 0*p + 5*p - 20 = v. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 269, -4\/7, 0.5, -0.27 in descending order.\nAnswer: 269, 0.5, -0.27, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let u(c) be the first derivative of 0*c**2 + 3 + 0*c + 2\/3*c**3. Give u(w(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Determine d, given that -48*d**4 - 36*d**3 + 28*d**5 - 22*d**3 + 14*d**3 + 48*d**i + 4*d + 12*d = 0.\nAnswer: -1, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f + 328. Let b be r(28). Let o(x) be the third derivative of x**4\/6 + 31*x**3\/6 - 3*x**2. Let k be o(b). What is the biggest value in k, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145073 and 1455988.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.244215 millennia to months.\nAnswer: 86930.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 - 27288*u - 93079368 = 0. Calculate u.\nAnswer: -6822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 - 84*u**2 - 200*u - 78. Calculate a(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121132621?\nAnswer: 181, 669241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*b**2 + 19*a**2*b + 129626024*a*b**2 - 51*a*b + 14042 wrt b?\nAnswer: -4*a**2 + 259252048*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -511*i**3 + 9*i**2 + i - 9. Calculate s(1).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -97, -150, -183, -190, -165, -102?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 - 3*h**2 + 10*h + 12. Calculate g(-4).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*-1*sqrt(108) - sqrt(108) - (sqrt(108)*2*-4 + sqrt(108)))\/(sqrt(48)\/(6*sqrt(24)\/sqrt(3))))**2.\nAnswer: 145800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) + (-20 - -22)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4061200564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -750337\nAnswer: -1500674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**7\/14 - 2041*l**4\/12 - 35*l**3\/2 + 397*l. Find the second derivative of a(z) wrt z.\nAnswer: -60*z**3 - 4082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -757101, -3028347, -6813757, -12113331, -18927069, -27254971?\nAnswer: -37097037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 11) to base 16.\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2242)\/(-6) + 1)*924\/56. Suppose s = o + 1647. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*45\/243*2\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 74*j - 76*j = 60118, -2*j + 60102 = 2*g. What is g rounded to the nearest 100?\nAnswer: 30100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -9 + 3\/(-1). Let v be 15\/4 + u\/(-36). Suppose -5*d - 7 + 27 = 0, v*d = -j + 27. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*x + 11. Let o(h) = 2*h**2 - h - 3. Let c be o(x). Suppose p - 30 = c. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 55. Let o(f) = 70180*f. Determine l(o(z)).\nAnswer: 9850464800*z**2 + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5119.\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2*o**2 + 4 + 0 - 4*o**2.\nAnswer: -2*o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - d + 12 = 0. Suppose 2*c + d*c = 2*k - 10, -k + 23 = 4*c. Calculate the remainder when 96 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -341.\nAnswer: 34\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 313.9 + -314. Which is the nearest to o? (a) 0 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113903?\nAnswer: 113903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36027045 divided by -7205409?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from txdgbbn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1905, 6180, 12837, 21882, 33321, 47160?\nAnswer: 63405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -110.6795. What is o rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 2*y**2 + y + 6. List the prime factors of z(4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 131 = 9*a + 4*s, -4*s + 9 = -3 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/10)\/(105\/7))\/(60\/30)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 426520 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 2, -0.1, 8, 0.072?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7359837 nanometers?\nAnswer: 0.0007359837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 11*l**5\/120 - 31*l**4\/24 + 7*l**3\/6 + 17*l**2. Let r(f) be the first derivative of c(f). List the prime factors of r(10).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3049 + 5035. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -29, -52, -75, -98?\n\"Answer: -23*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27881869 to the power of 1\/2, to the nearest integer?\nAnswer: 5280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*h + 34. Let l be 24\/21*h\/(-2). Suppose i + l*i = 40. Calculate the lowest common multiple of i and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98\/13*g + 28\/13*g**2 + 0 - 2\/13*g**3.\nAnswer: -2*g*(g - 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -29*v**4\/24 + 7*v**3\/2 - 42*v**2. What are the prime factors of z(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2524*t + 2525*t + 90 = 0. Suppose 4*o + 0*b + 384 = -3*b, 2*o = b - 182. Let r = t - o. Solve -r*p + 1 = -14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010111010100100010010 (base 2) to base 6.\nAnswer: -1311005042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.49 + -2.09. Let k = 0.1 - 0.5. Let n = z + k. Which is the second smallest value? (a) n (b) 0.5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8798589.4 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5) - (-448)\/(-70)) + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d - 5*q = 131, 2*q = 2*d - 90. Calculate the remainder when d is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**3 + 4*o**2 + 43*o - 4. Let w(k) = 6*k**3 + 3*k**2 + 42*k - 3. Determine 4*w(s) - 3*z(s).\nAnswer: 3*s**3 + 39*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04171068 rounded to five dps?\nAnswer: 0.04171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, 86, -3 in descending order.\nAnswer: 86, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -16.\nAnswer: -55\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from pzkkmnpnmpnppp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1749)\/(-1188) + 6\/(-27)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1613 - 54*v**2 + 1613 to x + o*v + s*v**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16551 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: Suppose -t - 3*w = 2*t - 3, 2*w - 6 = -3*t. Find the first derivative of 0*y**t - 6*y**4 + 17*y**4 - 6 - 2*y**4 wrt y.\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -78, -1, 452 in descending order.\nAnswer: 452, 2, -1, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 4. Let t(a) = -a**2 - 8*a + 9. Let f be t(-9). What is the units digit of s(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 3, j: 5, t: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + -11. Let u = q + 100.00093. What is u rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:28 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -623406146.18 minus -0.4?\nAnswer: -623406145.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 1 - 1)*(-3*g**2 + 3*g**2 - 2*g**2) - 3 - g**3 + 3 + g**3 + 0*g**3 + g**3 + g**3 + 0*g + 0*g + 78*g**3 + 113*g**3 + 99*g**3.\nAnswer: 296*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 14aae00?\nAnswer: -14aadfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-5679.\nAnswer: 2839.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 518*n - 4918. Calculate a(9).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -127122.3174 to the nearest 1000.\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61211?\nAnswer: 61211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 2*b - 2*b. Let q be l(-2). Solve q = 4*g + 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/30*13175\/(-930)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207185481 by 63769.\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/546 + 113\/910. Find x such that 8\/15 + 8\/15*x - 2\/15*x**3 - t*x**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 9*y - 16 = 2*j - 0*j, -21*j - 2*y - 34 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(196\/(-40)))\/((-30)\/(-210))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:48 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1548 - 2733. Let k = f - -1190. Let t = 2 + -2. Solve -k*g - j - 25 = t, j = -4*g - 0*g - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 - -243. Solve 3*m = -3*f - 0*m, l = 4*f - 3*m - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01010830297 rounded to 7 dps?\nAnswer: 0.0101083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6 + (-3 - (-512)\/160)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 10, 2*x + 2*g = -2*x + 4. Let k(q) = -q + 12. Is k(x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = 4*t - 2*t, 0 = y - 2*t - 7. Suppose 0*c + y*c = 0. What are the prime factors of -1 + c + 1*9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 4?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1507*t**2 + 829*t wrt t?\nAnswer: -3014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 20. Suppose -t - 227 = -n*y + 462, 9 = 3*t. Round y to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k - 76. Let f be c(20). Let y be 1*-2*3\/(-6). Let z = 9 - y. Calculate the greatest common divisor of f and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -14\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**4\/12 + 10*z**2 + 5. Let w(h) = -4 + 4 - 5*h**2. Determine w(b(q)).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpbbbrpr. What is prob of sequence pr?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 720 or 725?\nAnswer: 725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*p + 210, 3*r - 8*r + 358 = p. Suppose 12 = -5*l + r. Calculate the lowest common multiple of l and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -134, -201, -260, -305, -330, -329?\n\"Answer: a**3 - 2*a**2 - 68*a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 191658 and 8113522.\nAnswer: 24340566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 2. List the prime factors of l(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-127)\/65 - (-110 - 97020\/(-900))?\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 0)\/(2\/3). Let f(h) = -6*h**2. Let r be f(1). Let u be r\/3 - 88\/(-42). Which is the biggest value? (a) p (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 1. Let w(s) = -s**2 - 68*s - 4. Give 4*t(r) + w(r).\nAnswer: -r**2 - 64*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 19756 = -7*o. Is o bigger than -446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19512 and 98?\nAnswer: 956088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3080987 or 0?\nAnswer: -3080987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6) + (-56)\/84?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-310)\/(-50)*165\/33.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450 (base 6) in base 3?\nAnswer: 112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220 + -240. What are the prime factors of (-7996)\/w + (-6)\/(-30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*o**2 + 62*o**4 + 31*o**4 - 13*o**2 + 858*o**4 - 641 with respect to o.\nAnswer: 3804*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((524112\/1253)\/122)\/((-2*(-6)\/(-14))\/(-4))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2. Let p be (-3)\/4 + (-8 - (-105)\/12). Let t(r) be the second derivative of 0 + 4*r + 1\/3*r**3 + p*r**2. Determine t(w(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63 (b) 1 (c) 0.05 (d) 2.6 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 2 = 4*b. Let u = -3 - b. Let v(i) = -i - 1. Let h(k) = -3*k - 6. Let m(p) = -h(p) + 5*v(p). Determine m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (54 - 52).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*n = 19 + 2, 3*n - 6 = 0. Suppose -12*a + i*a + 686 = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(((-8)\/(-15))\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 10*t**2 - 8*t + 2. What is q(4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115*8\/14352)\/(5\/3).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3532146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000000 (base 2) to base 11.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557092?\nAnswer: 2, 389273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1899012831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/1629 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 79. Suppose 4 - y = -f. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -942 - -944. Suppose 12*g - 53 - 19 = 0. Solve -4*y = y + 2*v + 14, -i*y - v = g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**41*((b*b**(-2\/3))\/b)\/b**(-3\/4))\/(b**(-1\/3)\/b**(2\/5)*b\/((b\/(b\/b**(-2\/11)))\/b)*b**(2\/7)*b) assuming b is positive.\nAnswer: b**(82463\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 360\/16 + 1\/(-2). Suppose 4*b - 8 - 80 = -2*f, w = b - f. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 16*k**2 + 26*k**4 + 0*k - 280 + 10\/9*k**6 - 304\/9*k**3 - 44\/5*k**5. Factor v(m).\nAnswer: 4*m*(m - 2)**3*(5*m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1150620679 divided by -3.\nAnswer: 1150620679\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 39 - 9 = 0. Suppose t + 23 = 4*p, -2*p - t = -v*t - 25. Suppose 3*u - 16 = -7, -s = 4*u - 16. Solve 3*x + s + p = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, k: 2, y: 9, h: 1}. Give prob of picking 1 k and 3 v.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84344*j**2 + 95275.\nAnswer: 168688*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l - g + 6*g, 5*g + 30 = 4*l. Sort 0.4, -0.3, l in increasing order.\nAnswer: -0.3, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brt when three letters picked without replacement from {r: 1, b: 1, t: 2, n: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/6 - 0\/2. Suppose -4 = g - k*g. Let m(t) = -t + 16. Calculate the lowest common multiple of m(0) and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*d = -43, 2*k + 26 = -2*k + d. Let q = k + 6. Let c be 150000\/(-1)*(47 + q). Round c to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 2:47 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 1855.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/2 + 12*l. Let u(o) = -3*o. Let z(p) = -14*p + 26*p - 20*p. Let t(v) = 17*u(v) - 6*z(v). Determine 4*j(d) - 3*t(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(403\/(-52))*(-12)\/(-2)*-1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 264*i**2 - 2*i - 57. What are the prime factors of o(-5)?\nAnswer: 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 3*x**2 - 4*x + 4. Suppose 3*p + 21*h - 23*h - 668 = 0, 0 = 5*p + 2*h - 1124. Let r = -221 + p. Determine s(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by -19682\nAnswer: -73\/19682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/45408 and 53\/1914.\nAnswer: 1316832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -753*f - 1214*f - 245*f + 525*f in the form n*f + g and give n.\nAnswer: -1687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 18*j**2 + 3*j - 41. Give x(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7128 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 5, -3, 285, -0.4?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghhhgghhz. What is prob of sequence ggg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6981 at most as big as -6981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1809, -6412, -11043, -15714, -20437, -25224, -30087, -35038?\nAnswer: -40089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + x - 44 - x + 45. Let z = 4 - 2. Give m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*n = 30303 + 101027, -105071 = -4*p - n. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2423 divided by -30380?\nAnswer: 2423\/30380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 1, d: 4, p: 4, x: 1}. Give prob of sequence xp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*i - i + 26*i + 53*i)*(0 - 2 + 6) as z*i + f and give z.\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -0.1305071?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 3*m**7\/14 + 11*m**4\/12 + 5*m. What is the third derivative of a(r) wrt r?\nAnswer: 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.61 - 2.61. Let u = 9.9 + 2.1. Which is the nearest to u? (a) -0.1 (b) -2\/13 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 107417222.\nAnswer: 966754998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j + 166*j + 72*j + 277*j.\nAnswer: 557*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 68*i**3\/3 + 13*i + 4. Let r be x(3). What is the tens digit of -3 + r\/7 - (-4)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2679341613?\nAnswer: 3, 13, 61, 1126247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(72)\/((sqrt(147)*1 - sqrt(147)) + sqrt(147) - sqrt(147) - sqrt(147)))\/(-3*-1*sqrt(300)).\nAnswer: sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -39*i**3 + 9 - 1 + i - 7 + i**2. What are the prime factors of c(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*y + 6 = 73*y. Let f be 5\/(-4) + -2 + 2. Is y > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(176) - (sqrt(704)*-2 + sqrt(11))) + -1 + (sqrt(396)*1 - sqrt(396)))**2.\nAnswer: -76*sqrt(11) + 3975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -62. Let f be 3\/(-2) - (-36)\/m. Solve f*j = -4*v + 20 - 3, 4*v + j - 19 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from {n: 2, y: 13, j: 3}?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)*g**(-10\/9)*g**(-14)*g*g\/(((g\/g**(-8))\/g*g*g)\/g) assuming g is positive.\nAnswer: g**(-298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/32)\/((238\/196)\/(-17))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233269675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 25 (c) 101431 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2.6 (c) -2 (d) 0.5 (e) -1\/36 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949, -1872, -2767, -3634, -4473, -5284?\nAnswer: -6067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(6 - 3)*-1. Let q(x) = -x - 5. Let o(s) = -s - 6. Let a be (-99)\/27 - 4\/(-6). Let k(u) = a*o(u) + 4*q(u). Give k(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4166.79999965691 - 4166.8. What is f rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 16 + 8 - 9 - f. Let c be k(11). Let s be 33\/(-42) - (-10)\/35. What is the third biggest value in c, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4164404 hours to minutes.\nAnswer: 24.986424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 449 - 515. What is the closest to -0.1 in 2, m, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37978059*h**4 - 273322227 wrt h.\nAnswer: -151912236*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -7*j**4\/4 - 5*j**2\/2 + 5*j - 7. Let t(m) = m - 1. Determine -b(s) - 5*t(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**4 + s**3 + s**2 - s. Let f(g) = -9*g**4 + 5*g**3 + 8*g**2 + 48*g + 1. Let b(p) = 5*c(p) - f(p). Find the second derivative of b(v) wrt v.\nAnswer: 48*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 - 102 = 8*g. Is g at most -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.183305652 to four decimal places.\nAnswer: -0.1833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:27 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7))**(-1\/45)*i\/(i*i**11)*i**(3\/4) assuming i is positive.\nAnswer: i**(-4309\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 175 and 171 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/187708 and -33\/7.\nAnswer: 1313956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 8 - 13 - 1. Suppose -55 = -9*u + 4*u. What is the units digit of o(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/4 - 5*j**3\/3 - 3*j**2\/2 - 4. Let r be g(6). What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2720 = 21*p + 9482. Let h = p - -328. Calculate the remainder when 23 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 377467, 4, 33 in decreasing order.\nAnswer: 377467, 33, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8494*k**4 - 10145*k?\nAnswer: 101928*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 145112*z**2 + 145099*z**2 + z.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 34*t**2 + 118*t + 18. Let p be r(6). What is the greatest common factor of p and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1777 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3 - 73*j**2\/2 - 6. Let m(d) = 2*d**2 - 37*d. Let h(f) = -7*m(f) + 4*t(f). Let u(y) = y. Determine u(h(x)).\nAnswer: -2*x**2 - 33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + -13 + 34 + -37 + -11?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3 + 0 + 0)*(-2 + 2 + 1)*(5 - 2 - 2).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -117, -281, -515, -819?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/((m*m*m\/m**(-3\/11)*m)\/m)*m**(-6))\/(m\/m**(2\/69)*m)**(2\/13))**(2\/57) assuming m is positive.\nAnswer: m**(-6830\/29601)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 + 4378*k**2\/3 + 780066*k - 20424150.\nAnswer: 2*(k - 25)*(k + 1107)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 4*l - 2*l - l - 1 + 1 + (l - 1 + 1)*(-4 + 5 - 4) - 2*l - 3*l - 9*l in the form x + j*l and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/101 and -67\/56?\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -158257 greater than or equal to -158255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4430734*t - g = -4430732*t - 32, 3*t - 3*g - 39 = 0 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -251954\/17 at least -14821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) + 1 + -4) - 5*sqrt(98)*-6)**2.\nAnswer: 1260*sqrt(2) + 88209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0 (c) -4\/5 (d) 9 (e) 775\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 0, -4*y + 358 = -y - 2*x. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706, -705, -704, -703?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {h: 6, k: 8, t: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 955 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 7*f - 16. Let a be n(8). Let m = -164 + a. Solve 0*w + 4*w + m = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*h**2 + h*p + 1356381*h - p - 48352972 wrt h?\nAnswer: 30*h + p + 1356381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 8*b + 3. Let j be z(9). Let f(l) = 3 + 3 + 2 - l. Does 7 divide f(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 - 257. Solve -r - 4 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -x - l + 3180, -4*l + 9488 = 3*x. Let p be x\/90 + 4\/5. What is the greatest common divisor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/30 - 2*x**2. Let h(y) be the first derivative of -2*y**2 - 13. Calculate p(h(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 40*j**3 - 59*j**2 - j - 26. Let u(g) = -40*g**3 + 60*g**2 + g + 39. Determine 3*r(s) + 2*u(s).\nAnswer: 40*s**3 - 57*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -401634 divided by -10.\nAnswer: 200817\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 507810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 28 = v + 4, -4*v - 4 = -5*y. Solve 2*b + 2*n = -4, 5*b - y*b = -2*n - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204756?\nAnswer: 2, 3, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1054 - -4695. Suppose h = 3*f - 2*f. Let u = f - 36349\/10. What is the common denominator of u and 151\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 32 = -2*y, 2*s + 0 + 3 - 7 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*a - 557*a + 309*a - 327*a.\nAnswer: -719*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - -28. Let a = h + -153. Let d = a - -88.00000039. Round d to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2*(-4)\/(-12)*2*-3 and 726.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 199*z**7\/210 + 287*z**4\/24 - 22*z**2. What is the second derivative of l(n) wrt n?\nAnswer: 2388*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 12 = -2*m. Let x(s) = -s**3 - 6*s**2 - 3*s + 6. Does 12 divide x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*f - 28 = 0, 3*s + 13*f - 9*f = -34. What is the units digit of 74 + s*7\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d*n**3*w**3 - d*n - 37*d*w**3 - 3*n**3 + 6*n**2*w**2 wrt w?\nAnswer: -18*d*n**3 - 222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-36)*(-12)\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162449713.\nAnswer: 23, 101, 69931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 130 = -80*p. Let x be 0 + 0 + 1 + 2. Let b = -7 + x. Sort b, p, 1 in descending order.\nAnswer: 1, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r**2 - 135*r + 2. Let b be l(-15). Suppose 9*v - b*j = 4*v + 2625, -4*v - 5*j + 2067 = 0. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 2766424.\nAnswer: 2766424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 48*x = 75. Let f = 0.83 - -0.27. Let y = 6.1 - f. Which is the closest to x? (a) y (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*g + 13 + 17*g - 27*g as d + u*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5\/2 - 30*a**4 + 351*a**3\/2 - 243*a**2.\nAnswer: 3*a**2*(a - 9)**2*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 273 = -5*c, 5*c + 48*x - 97 = -0*c + 45*x + 195 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -152 + a?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3760410*t*v*y**3 + t*v*y - 44370*t*v - 2*v*y wrt y.\nAnswer: 22562460*t*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114567083 is divided by 38189023.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3594029 hours to microseconds.\nAnswer: 1293850440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*u**2 + 60*u**2 - u**2 + 89*u**2 + 278*u**2.\nAnswer: 559*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 greater than -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2*q*x - j**2*x**3 + 7*j**2*x**2 + 76*j*q*x**3 - 7*x**3 wrt q?\nAnswer: 2*j**2*x + 76*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -14*q + 37. Let b be y(3). Put 64, 5, b in decreasing order.\nAnswer: 64, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12035?\nAnswer: 5, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 41*i**6\/10 - 107*i**3\/3 - 2*i + 15. What is the second derivative of g(t) wrt t?\nAnswer: 1476*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207594527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmmmdmm. Give prob of picking 2 m.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6687)\/(-315) + -33 + 14 - (-2)\/35\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -n - 69 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(0*l - 2*l + l) + (-l - 2*l + 4*l)*(-2 + 1 + 0).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.3, -0.17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5901, 23638, 53215, 94632, 147889, 212986?\nAnswer: 289923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a + a - a - 2*a - 4*a + 5*a + (0 - 2 + 0)*(-2*a - a + a) + 0*a - 3*a + 2*a + 0*a + 2 - 3 - 3*a)*(-9*a**3 - 7 + 7).\nAnswer: 108*a**4 + 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 9. Let j = -7 + 3. Let o = -3.6 - j. Which is the closest to l? (a) -4 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 3. Let p = 9.252 - 0.152. Let n = 9 - p. Which is the second smallest value? (a) -2 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-eight fifths of a millennium?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 14 = -t, 3*p - 24 = -4*t - p. Suppose t*f + 3 = 11. Solve -f*o - 2*v = 14, 0 = -2*o - 0*o + 5*v - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 - 79\/(-2). Let r = -23 + 27. Suppose 0*c + r*c = g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 48\/5 of a microsecond?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 + 8*y + 42. Let x be d(-4). Let q(o) = -o**3 + 15*o**2 + 2*o + 51. What are the prime factors of q(x)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 3:43 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 29, 3, 3\/2, 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1434 + 367?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12c2 (base 16) to base 4\nAnswer: 1023002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 112300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5 - 11096*z**4 - 31011954*z**3 - 1282529296*z**2 + 1313552347*z = 0.\nAnswer: -5527, -43, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 54, 84?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00449527 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-8 + 7 + -1). Differentiate -54 - 55 + 11 - 19*z**d - 32*z**3 with respect to z.\nAnswer: -153*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 1. Let s(i) = 7*i**3 + 5*i - 6. Determine s(g) + 6*w(g).\nAnswer: 7*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.7 - -0.3. Which is bigger: u or 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*u**2*y - 8*g*u**2 + 2*g*y**2 - 2*g*y + 5*u**3*y**2 + 2*u**3*y + 3*y**2 wrt y.\nAnswer: 4*g + 10*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:28 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 2*s + s)*(11 - 3 + 0) + 6571*s - 31 + 128 - 35 - 27 - 35 to the form h + j*s and give j.\nAnswer: 6555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73 or -3023582?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6 (b) -3\/2 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*c + 15, 2*n + 2*c + 3 = 3*c. Let f be -3 + -10 + n + 0. Let a = 33 + f. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355 - 23*l - 362 - 365 - 372 + 1454.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, u: 4}. Give prob of sequence uun.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/198 + -7\/66. Which is the third smallest value? (a) 15 (b) l (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a56 (base 15) in base 12?\nAnswer: -36446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + -15 + ((-1100)\/14)\/(2\/3). Does -124 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000120091 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Suppose 31 - u = 3*w - 4*r, w - 9 = r. Let c(i) = -2*i + 4. Give c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55\/25 - (-3)\/(-15). Find the second derivative of -3 + s*y**2 - 6*y**2 + 4*y + 3 wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481\/7 + (-2)\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j - 15277212 = 2*s, -2*j + 10184806 = -s. What is j rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 8*x)*((-4 + 2 + 4)*(4 + 1 + 0) - 1 + 0 + 3 - 1 - 2 + 1 + 1 + 0 - 3 + (2 - 3 - 1)*(-5 + 3 + 0) - 2 + 2 + 2).\nAnswer: 70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.23 - 45. Let g = 0.07 + w. Let q = 11 + -13. Sort q, -1, g in ascending order.\nAnswer: q, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + 844. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 4*c + 2. Let v(l) = 3*l**2 - 5*l - 3. Suppose -3*m - 2*m = -30. Suppose -5*d = -9 - m. Calculate d*v(x) + 4*w(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -2\/5, 7, -0.03, 41, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-4)\/22)\/((-169)\/(-3718))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + -0.04. Let d = -0.011 + 0.311. Let s = d + j. Round s to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:26 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221 - 950. Let y = -5 - 10. Does 26 divide k\/y + 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-1)\/(-1)) + (-187)\/33. Let j(w) = -w**3 - 4*w**2 - 3*w - 4. Let l be j(-3). Is l >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/4*6\/(-24)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 28. Let z = -5 + d. Let y = -34 - -172\/5. Which is the closest to 2? (a) y (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -1, 4*y + 3*t + 5 - 8 = 0. Let g be (-6 - (-6)\/2) + -9. Put g, y, -3 in ascending order.\nAnswer: g, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/14 - ((-10)\/4)\/(-5). Suppose -4 = 2*n - 6*n. Put n, 2, x in ascending order.\nAnswer: x, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 603, 1524, 2855?\nAnswer: 4596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/5341 and 15\/7.\nAnswer: 5341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6 = 0, -4*w + 43*o = 47*o + 1304. Is w less than or equal to -329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 76140?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91634, 91612, 91570, 91502, 91402?\nAnswer: 91264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.5 + 12.4. Sort -1\/6, -5, 0.1, r in descending order.\nAnswer: 0.1, r, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1265742 and 1026?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -9\/2 (b) 0 (c) 1\/3 (d) -53.2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 2, g: 1, f: 2, l: 1, r: 2}. Give prob of picking 2 l and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i = -i. Put 2, -4, i, 4 in descending order.\nAnswer: 4, 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2 - 2*o + 3. Let x be b(2). Let q = 178 + -180. Let u be (-1 + q)\/(-4 + (-35)\/(-14)). Sort x, 3, -1, u in ascending order.\nAnswer: x, -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 21, 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 933184.1 hours in nanoseconds?\nAnswer: 3359462760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/33675 and -34\/75.\nAnswer: 33675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -513, -754, -995, -1236?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1108275 divided by -2111\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352225 is divided by 70351.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*q - 117619 - 162281. What are the prime factors of q?\nAnswer: 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(12)\/sqrt(4) + 3 + sqrt(33)\/(sqrt(44)\/sqrt(4)) + -5.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119416 and 5.\nAnswer: -597080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, t: 2, h: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163 - -157. Sort -3, -3\/4, b.\nAnswer: b, -3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10766*g + 2487*g + 2897*g - 726750 = 0 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 1628406?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-7\/4)\/x)\/x*x**(1\/8))**(-25))**41 assuming x is positive.\nAnswer: x**(21525\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -146197, -292393, -438595, -584803, -731017, -877237, -1023463?\n\"Answer: -3*y**2 - 146187*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1098682108 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {p: 7, l: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (17 - 26) + 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1\/11 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14482910 at most as big as 14482910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -0.00452284631.\nAnswer: -6.99547715369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 620*y + 315*y + 306*y - 331*y**2.\nAnswer: -331*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.5 - -289.5. Let z = y - 329.36. Let l = -11 - z. Round l to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6)*(-46)\/345.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d + 61*d = 2*o - 14, 0 = 4*o - 5*d - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 508750*c**3*v**3 + 4*c**3*v - 365222*c**3 + 11*c*v**5 - 2*c*v wrt v?\nAnswer: 3052500*c**3*v + 220*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36561382 divided by 26?\nAnswer: -1406207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (-3)\/(6\/2). Is s greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 4)*(-26*b**2 - 17 + 17) - b - 2*b**2 + b to h*b + c*b**2 + x and give c.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.018 + 2.982. Let l be (-215)\/30 + -5*(-21)\/15. Which is the closest to -1? (a) r (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7769*h + 1266*h - 8889*h + 3331*h.\nAnswer: -12061*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (216 - 0) + (43 - 15) + -34. Calculate the greatest common factor of 680 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103206129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1900 is divided by 391.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-210)\/28 - 0)\/((-6)\/(-8)). Let b(j) = 2*j + 10. Determine b(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q - 8 = 0, 5*l = 3*q + 96. Let r be -2 + (5 - (0 + -1)). What is the units digit of (-2)\/(((-16)\/l)\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283166671 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000038 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/5 - 122258*r\/5 + 1100403\/5 = 0?\nAnswer: -122267, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25854378 is divided by 208503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4770023 (base 12) in base 16?\nAnswer: -d30b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029340605 rounded to six decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6.112*335\nAnswer: 2047.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14289940?\nAnswer: 2, 5, 7, 102071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3859, -7699, -11539, -15379?\n\"Answer: -3840*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1628, 6393, 14334, 25451, 39744, 57213?\nAnswer: 77858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11477 = -h, 5*f = 5*h - 31104 - 26251. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by -285\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 359935861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60.824 + 0.824. Let r = 58.66 - -0.34. Let u = r + m. Which is the second smallest value? (a) 0.1 (b) -1\/4 (c) 0.5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36019\/5418 - 78\/301. Calculate the common denominator of 79\/4 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 + 8*l**2 + 11*l - 53. Determine d(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m - 3*m + 5*m + 6*m + m**2.\nAnswer: m*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -37*213\/(-2627) - 10\/(1 - 2). Let j(y) = -152*y + 3. Let o be j(-4). What is the highest common factor of h and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (906 + -908)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18085777, 18085768, 18085759, 18085750, 18085741?\nAnswer: 18085732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 16. Let w be ((-3)\/4)\/((-18)\/u). Factor 0*l**2 - 4\/3*l**5 + 0*l + 0*l**3 + w*l**4 + 0.\nAnswer: -2*l**4*(2*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = 2*g. Suppose 0 = -g*k - l + 48, -4*k - 4*l = -6*k + 42. Suppose 0 = -5*a + 10, -5*a - 1 = 2*z - k. Sort z, -1, -2 in increasing order.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3977 + -597. Is 130 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30373512?\nAnswer: 2, 3, 13, 67, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 20. Solve -2*s - s + a = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/4, 0.1, -1\/3, -1, 0.03, -21\/5, -1549?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u + 1. Let q be g(5). Let k = 44 - q. Calculate the remainder when (-1)\/(-4 - -3) + 24 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1 - 1 + 4 - 2 - 4 + 2 + 1 + (3 - 1 + 0)*(3 + 1 - 2) + 54 - 24 - 95)*(-6 + 7 + 3*n**2 - 2)*(n - 4*n - 3*n).\nAnswer: 1062*n**3 - 354*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(20)*-1 - sqrt(20))\/sqrt(4)) + sqrt(15)\/sqrt(12).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - (sqrt(68) + (sqrt(68) + (sqrt(68) - -4*-2*sqrt(68)) - sqrt(68) - sqrt(68)))**2.\nAnswer: -3332 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - sqrt(147)*1) + sqrt(147) + 0 + sqrt(147))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6 - 7 + 2*q**3 to m*q**3 + s*q**2 + o*q + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pad when three letters picked without replacement from {a: 10, w: 1, p: 1, c: 4, d: 2}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 657*s + 2030. What is the hundreds digit of h(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 15. Let j be ((-147)\/14)\/((-3)\/y). What is the remainder when 4\/j + 556\/14 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n + 72. Let d = -26 - n. Which is the nearest to -0.1? (a) -2\/9 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8646 - 121641\/14. Let z = g + 1245\/28. Calculate the common denominator of z and -19\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 0.8\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 7*l**2 - 7*l - 1. Let t be s(8). Let x(n) = -t*n - 1 + 2*n + 1. Let v(m) be the third derivative of -m**4\/12 + m**2. Determine v(x(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*i**3 + 158057*c*i**2*o**2*u + 117*c*i*o**2 - 1852*c*i + 8*i**3*u + o**2 wrt u.\nAnswer: 158057*c*i**2*o**2 + 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(1 - 3 + 1)*(-1 - 2*y + 1) - 35*y - 224*y - 2 + 39*y.\nAnswer: -226*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, r: 1, k: 4, d: 1, q: 2}. Give prob of picking 1 h, 2 k, and 1 q.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-16)*808\/4646?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (88 + -80 - 5)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76434 divided by -173.\nAnswer: -76434\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/72 (b) 2\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 + -178. Suppose -w - 4*z + 7*z = -s, w + 4 = -2*z. Solve -5*g - 4*r + 6 = 1, 0 = w*g + 2*r + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(7 - 4 - 2). Suppose 11*q - 5*q - 1596 = g. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*y**4*z - 27*y**3*z - 218*z + 1 wrt y.\nAnswer: -16*y**3*z - 81*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8*a = -6*a. Let l(c) be the third derivative of -7*c**2 + 2\/105*c**7 + 0*c**5 - 1\/20*c**6 + 0 + 0*c**3 + 1\/12*c**4 + a*c. Let l(h) = 0. What is h?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32353 + 10886 + 16254 - 4092 + 8221)*(p**2 - 3*p**2 + 4*p**2) in the form i*p + m + q*p**2 and give q.\nAnswer: 127244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/119, 2, -0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(b**2 - b**2 - b**2) + (3*b - 1 + 1)*(0*b + 2*b - b) + b**2 - b**2 + 4*b**2 + 0*b + b**2 + 0*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/42 - (-26)\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**5 + 73*l**4 + 454*l**3 + 96*l**2 - 288*l = 0.\nAnswer: -12, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttibkkk. Give prob of picking 1 k and 2 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -6.\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9))**(-2\/81) assuming i is positive.\nAnswer: i**(2\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 287325 divided by 57465?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - -51. Let v = -91 + w. Calculate the greatest common factor of v and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33 - 7 - -16)\/(-8). Factor -3\/2*i**2 + 0 + g*i - 3\/2*i**3.\nAnswer: -3*i*(i - 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 9. Let t be 8\/(-16)*((-3 - -4) + -3). Suppose -5*c + t = -29. Calculate l(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -9. Suppose 62 = 16*o - 108 + 234. Let w be (1 - (-20)\/o) + x. Solve p = w - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 0*o + 1\/14*o**4 + 15\/7*o**2 + 65 - 16\/21*o**3. Suppose p(u) = 0. What is u?\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 10 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v**5 - 31*v**2 + 5 - 3*v**3 + 30*v**5 + 15*v**2 + 7 + 17*v**2 wrt v?\nAnswer: 2220*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7704 and 41409.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6927603 is divided by 692754?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/27768 and -55\/104.\nAnswer: 27768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 1.03, 58, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143088559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 17*x - 203 = 4 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + (-1588)\/(-4578). Let d be 3616\/96*492\/(-3597). Let k = u + d. What is the common denominator of k and 34\/29?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 47. Let w be ((u - -3)\/(-12))\/(-1). Which is the second biggest value? (a) 5 (b) -0.06 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3501 is divided by 173.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - 24. Let o = 25 + m. Let z = o - -29.8. Round z to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*i - 5*i. Let c = -4 + 6. Suppose i = 3*f - g - c*g, 3*f = 2*g + 19. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**8\/1680 + m**7\/420 + m**6\/360 - 2*m**3\/3 - m**2. Let b(p) be the first derivative of i(p). Factor b(v).\nAnswer: v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26600.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -476305157?\nAnswer: -476305162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) -0.4 (b) -133 (c) 1\/1257 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 211941 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 + 137. Suppose -g*v + 0*v - d = -4, 3*v - 10 = d. Solve -s = v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17935.23 to the nearest 100.\nAnswer: -17900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(720)*-2*-2*1.\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**4 + 35*s**3 + 48*s**2 - 2. Let c(j) = -135*j**4 - 945*j**3 - 1295*j**2 + 55. Let a(d) = 55*b(d) + 2*c(d). Factor a(n).\nAnswer: 5*n**2*(n + 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfkq when four letters picked without replacement from fmmmffofkkqqmkmmm?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, 0.5, -1, 1\/16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 776 = 5*v + 288, 0 = 4*v - 2*m - 386. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 - 22*w**2 + 4 + w**3 + 11*w**2 + 18*w - 20*w + 3*w**2 to d*w**2 + t*w + g*w**3 + q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -3\/2, 0.2, -0.22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 163, 178, 195, 214?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*g - 7. Let s(i) = -101*i**3 - i**2 + 2*i + 1. Let z be s(g). Suppose 2256 = 5*q + z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 7. Let v(m) = m**2 - 5*m + 5. Let j be v(4). Let k(f) be the second derivative of -f**4\/3 - f**3\/3 - 503*f + 1. Let z be k(j). Calculate n(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -36*u**2 - 51*u - 9. Calculate n(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 - 59*s + 17. Let q be m(0). Let b(u) be the third derivative of u**5\/15 - 29*u**4\/24 - 5*u**3\/3 - u**2. Is b(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830196409 a multiple of 1943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/9))**(5\/4)\/((b**(1\/6)\/b)\/(b**(17\/7)*b)) assuming b is positive.\nAnswer: b**(607\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104719 + -201719. Round q to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/2)\/(1\/4). Suppose 0 = 4*q - 4*x + 2*x - 96, 2*q = 3*x + k. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1516, 3028, 4540?\nAnswer: 6052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 14 = -2*h, 0*m + 3*m - h = 23. Suppose -3*q + 4 = s - 6, q + 4 = -4*s. Calculate the lowest common multiple of q and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**3 - 5 + 12*t**2 + 2*t - t**3 - 3*t**2 - 3*t**2 - t**2. Let p = 6 + -4. Let m(i) = -55*i + 55*i + i**p - i**3 - 1. Determine -l(b) + 5*m(b).\nAnswer: -b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l*t**4 - 42777*l*t**2 + 146008*l*t wrt t.\nAnswer: -48*l*t**2 - 85554*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 11*a = 47, 5*s - 4*a - 2*a = -4*a + 29 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1054*k**2 + 1022*k**2 - 2073*k**2 + 333 - 2*k + (1 + 2*k - 1)*(2 - k - 2).\nAnswer: k**2 - 2*k + 333","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 1\/3*x**6 + 5\/3*x**3 + 0*x**2 + 1 + 0*x**5 + 0*x**4 + 0*x. What is the third derivative of i(m) wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 212.5715 - 220.45. Let i = -7.9 - q. Let l = -0.02149769 - i. What is l rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19184*d**3 + 10632*d**3 - 15469*d**3.\nAnswer: -24021*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnynnnynnyny. Give prob of picking 1 n and 1 y.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-22) - 3948\/(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7 = 89. Calculate the remainder when r is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52.2 - 52. Let q be 8\/(-70) - (-4)\/10. Which is the closest to 3? (a) q (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693.651707 rounded to two dps?\nAnswer: 3693.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660943.\nAnswer: 17, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000110444 rounded to six dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 544 - -4?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9064936 is divided by 54?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 281 + 127. Suppose -3*r = -m - 45. List the prime factors of r.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 347, 551, 755, 959, 1163?\n\"Answer: 204*p + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -o + 5*o + 80, 0 = -4*m - 4*o + 48. Suppose 11*n = m*n. Suppose n = 3*u - z + 955, 4*u - z = -2*z - 1285. Round u to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013087724 to four dps.\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -4. Let c(d) = -d**2 + 3*d + 18. Let j be c(a). Solve j = -3*s + 7*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6861600 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - -0.5. What is the third smallest value in m, 7, 2\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1 - 1 - 2*g**2 + 4 - 4. Let y(u) = -207*u + 1. What is f(y(l))?\nAnswer: -85698*l**2 + 828*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 273868 - 5?\nAnswer: 273863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by (203\/14)\/((-1)\/(-2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**7\/840 + z**6\/40 - z**5\/15 - z**4\/8 + z**3\/3 - 18. Let r(c) be the third derivative of q(c). Calculate r(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 3, -813\/40, 5, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 47, -4\/7, -0.4, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 - 70. Let y be (-4)\/10*-5 - -3. Suppose -w = -y*v + 183, 0 = 5*v - 4*w + 14 - 191. What is the remainder when a is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.47 and -9906?\nAnswer: 34373.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 108\/(-21)*84\/(-9). Suppose 11 = 5*i - 9, 0 = 2*q + 2*i + 6. Let c = w - q. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39683, 79357, 119025, 158687?\n\"Answer: -3*f**2 + 39683*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -562369896 divided by 172612?\nAnswer: -3258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(32) - (sqrt(512) + -3*sqrt(512) + sqrt(512)))\/sqrt(8)*-6)\/(sqrt(50)*4 + (sqrt(12)\/sqrt(6) + sqrt(2))*-6))**2.\nAnswer: 225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 411162447 + 411162447.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*o - 2 = 0, 0 = -5*a + a - o - 10. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67769?\nAnswer: 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1035 + 85900\/83. Let n = -260141 + 260141. Are u and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/48 + (-6262)\/(-16). Suppose 5*i = -d + 391, 0 = d - 2*d + i + v. Calculate the highest common divisor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddbdbbdbbdbddbd. What is prob of picking 1 b and 2 d?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-2\/7)*j*j*j**(-5)*j*j*(j\/j**(-2\/7))\/j*j*j**(-2\/11) assuming j is positive.\nAnswer: j**(107\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -233 and -0.0011.\nAnswer: 0.2563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*d + 6*d - 4*d)*(9 - 6 - 30) to j + b*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98aa81 (base 13) to base 6.\nAnswer: 205010214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/5 - 2*-1. Let o = z + 2. Let l(y) = y + 1. Let a be l(o). Put 2, -5, a in descending order.\nAnswer: a, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from jyjpjemjjmmjmemjk.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 9 = -9. Suppose 2*p - 2*a - 132 = f, -a = 5 - 3. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**2 + 118 - 116 - 3*g**2 + 2*g to the form y*g + d + w*g**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 705?\nAnswer: -4\/705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -36911 - 5*n + 36911. Let f(w) be the first derivative of w**2 + 1. Calculate l(f(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/3 + 22*v**2\/3 - 41*v\/3 + 20\/3 = 0. Calculate v.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45508 and 1116.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-76)\/36)\/(2\/12) and 23\/(-5)*(-30)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - h - 3*h + (-2 - 1 + 6)*(2*h + 5*h - 3*h) + h + 2*h - h + (2*h + 2*h - 3*h)*(5 - 2 - 2) + 0 + 0 - 2*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3692*q + 5916. What is the thousands digit of w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4*34\/(-1615)*-38 - 4) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -252*b + 128. Let x(k) = 28*k - 14. Let d(u) = 3*n(u) + 28*x(u). Suppose -4*o + 0*o + 12 = 0. What is the tens digit of d(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 4 = 25. Suppose -2*b + a*n + 57 = 4, 2*b - 59 = 5*n. Let j(p) = 6*p + 2. Calculate the lowest common multiple of b and j(2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8980 is divided by 8947?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = -4*t, -2*p + 50*t - 46*t = 2. What is the remainder when 24 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 60*f**2 + 62*f + 3106. Does 49 divide o(-64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 minutes before 3:46 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -66*l**3 - 78*l**2 + 106*l + 124. Determine p(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2283524 and 11\/6850572.\nAnswer: 6850572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3989, 3981, 3973, 3965, 3957?\n\"Answer: -8*x + 3997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (2 - -2))*5. Suppose -4*s - y = -34, -y + x*y = s. Let j(u) = -12*u**2 - s*u**2 + 38*u**2 - 17*u**2. Let h(q) = 9*q. Give h(j(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 32 = p + 4*h, 4*h = 2*p - 8. Let s be (8\/(-3))\/((-2)\/p). Let y(x) = -x. Let n be y(s). Calculate the greatest common divisor of n and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2 + (-3038)\/(-124). Find the second derivative of -2*k - 115 - 12*k**2 - 2*k**3 + 32*k**2 + p*k**2 - 16 wrt k.\nAnswer: -12*k + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 9*q**2 - 2*q - 4. Let x be y(-7). What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-75)\/(-21))*(-63)\/(-72). Factor -3\/2*i**4 - z*i**2 + 3\/4 + 3\/4*i - 15\/4*i**3.\nAnswer: -3*(i + 1)**3*(2*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 8:19 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 475 - 517. Which is the second smallest value? (a) 3 (b) h (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/3)*s*s\/s**(-5\/7)*s*s*s**(3\/20)*s*s*(s**(1\/7)*s*s)\/s*s assuming s is positive.\nAnswer: s**(3223\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/10*(-11)\/(-11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + -38 - (-1 - 3 - 2)) + -25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 922293.3 litres to millilitres.\nAnswer: 922293300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 80*o**3 + 1668*o**2 + 1584*o.\nAnswer: -4*o*(o - 33)*(o + 1)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 10*t + 170. Let a = -16 - t. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 2*t**3 + t + 3*t**3. Calculate the least common multiple of m(-2) and (4 - (-768)\/(-240))\/(0 - (-2)\/60).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3, -5*g + 4 - 32 = 2*k. Let p be (g - -6) + (-6)\/2. Is (3037\/p)\/((5\/(-15))\/1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 10*x - 13*x - 5 + 8*x + 0. Let u be a(14). Let n = 22 + u. Solve d - 1 = -v, -n*v = -3*d - 1 + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 419 and 42181149.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5670\/17 not equal to 335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/2*(-20)\/25. Let w(n) = n**3 + 15*n**2 + 15*n - 13. Calculate w(j).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -50*13\/104 + 6. Which is the nearest to -0.04? (a) r (b) 0.5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3374*y. Let c(r) = 73*r. What is f(c(o))?\nAnswer: -246302*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9 + 16\/3. Suppose 2*i = 4*z - 54, z - o*i = -4*z + 80. Solve -5*n + 3*y + z = y, 5*n - 23 = -4*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 2914, 7.08, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 401\/4 + (-3)\/12. Suppose -2*f + h = 10. What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.1 - 33. Suppose -4*u - 5*s - 41 = 0, 0*u + s = -5*u - 25. What is the smallest value in u, 1.3, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 64 - 11*d**2 + 453 - 8*d**2.\nAnswer: -19*d**2 - 13*d + 517","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7}. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-1\/7)\/t)\/t))**(5\/14)*t**(-3\/7)*(t\/t**(-3\/4))\/t*t assuming t is positive.\nAnswer: t**(479\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, z: 3}. Give prob of sequence zx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15274c (base 14) to base 7\nAnswer: -6156125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Let g(z) = 2 - 2*z - 12 + 10. Let o(a) = -5*b(a) - 9*g(a). Let t(u) = -7*u. Let h(c) = -119*c. Let y(k) = 2*h(k) - 35*t(k). Give o(y(r)).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -569444909*g**3*j**3 - 497*g**2*j**3 - 37478*g*j**3 + g*j wrt g?\nAnswer: -3416669454*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(5)*4)\/(sqrt(20)\/sqrt(5)*1).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.46? (a) -4 (b) 1\/5 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Let w = 6 - t. Let g = -5.5 + w. Which is the smallest value? (a) -1\/4 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**21\/(u**(-1\/5)*u**(-4)))**(2\/21) assuming u is positive.\nAnswer: u**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-30 - -40) + -1 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -9*r**5\/20 + 5*r**4\/12 + 5*r**3\/6 + 9*r**2\/2 - 8*r. Let d(n) = 14*n**3 - 8*n**2 - 8*n - 14. What is 5*d(x) + 8*y(x)?\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2*-5 - sqrt(78)) + (sqrt(78) - -4*(1*sqrt(78) - sqrt(78))))\/((-3*sqrt(72) + sqrt(72))\/sqrt(12) + (sqrt(486) - sqrt(486)*-1)).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - k - 12 = 0, -5*o + k + 3*k = -33. Let f = 0.13 - 0.48. Let b = 0.25 + f. What is the closest to b in o, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 5*m**8\/8 - 17*m**4\/12 - 31*m. What is the third derivative of n(v) wrt v?\nAnswer: 4200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 428, 962, 1714, 2690, 3896, 5338?\nAnswer: 7022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4634935535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1 + 19*z + z**2 - 13*z + 2*z. What is t(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05698 - -0.05. What is k rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.024, -2\/49, 1\/5.\nAnswer: -2\/49, -0.024, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**2 - 68*h + 110. Let w(b) = -2*b + 4*b - b. Calculate m(w(n)).\nAnswer: 2*n - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4030 - 2*b**3 - 4027 + 16121 - 4030 - 15*b**2 - 4034.\nAnswer: -2*b**3 - 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.0854 times -202\nAnswer: 421.2508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wleeellwwwlelwll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0*x - x)*(4 + 2 - 10)*(-2 + 2 + 2*x)*((0*x - 2*x + 0*x)*(2*x + 3*x - 3*x) + x**2 + x**2 - x**2).\nAnswer: 48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 2, s: 1, k: 3, c: 4, q: 2}. Give prob of sequence skf.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*f + 68 = 0, 0*d - 2*f = 2*d - 26. Let h be 6\/4*(-8)\/(-6). Suppose -g - h*g = -d. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 19*i**2 - 49*i. What is the lowest common multiple of y(-16) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -2.2. Let j = -12.078 - -11.978. What is the nearest to w in j, 0.04, -0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*3 + sqrt(68))*-2 - 3*-1*sqrt(68))\/((sqrt(180) + (sqrt(180) - -5*sqrt(180) - sqrt(180)))\/sqrt(5)) + 5)**2*6.\nAnswer: -50*sqrt(17)\/3 + 8525\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Suppose a = 4*g - 3*b - 169, 174 = 3*g + g + 2*b. Suppose 0*i - i + g = 0. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46*3\/36 - (-63)\/378. Suppose -3*s + 5*m = -0*m - 32, a = -3*s - 4*m. Factor 0 + 2\/7*x**s - 1\/7*x**3 - 1\/7*x**5 + 0*x**2 + 0*x.\nAnswer: -x**3*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.017 - 0.227. Let m = j - 0.09. Let p = 0 + 0.1. What is the nearest to p in -4, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11044893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - t - 30 = 0, 2*g - 5*g - 3*t = 36. Let s(b) = 2*b**2 + 2*b - 3. Let h be s(2). Let z be 3 - 2 - g\/h. Solve 2*i = -10, -z*i = c + 2*i + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 29043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1431918092 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1822\/3 - -9113\/15. Which is the nearest to 2? (a) -5 (b) -3 (c) g (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by ((-8)\/16)\/((-2)\/64).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493273 - 237373. Round d to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -116*j + 1. Let f(n) = 4*n**2. Calculate f(p(c)).\nAnswer: 53824*c**2 - 928*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 443 = 485. Let y(x) = 1. Let f(k) = -6*k + 6. Give t*y(j) - f(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/200 - m**5\/50 - m**4\/40 + m**3\/5 - 2*m**2. Solve i(t) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**4 - b**3 + b**2 + b + 1. Let g(r) = -5*r**4 + 6*r**3 - 38*r**2 - 6*r - 6. Let s(m) = -g(m) - 6*x(m). Find the third derivative of s(t) wrt t.\nAnswer: 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 4*g**2 - 11 + 7*g**2 + 10 - 2 to i + w*g**2 + c*g and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/23)\/(p**(8\/3)\/p*p) assuming p is positive.\nAnswer: p**(-178\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*k - 2*u, -5*u - 9 = -k - u. Solve -2*x = 4*g + 26, -2*x - k = 3*x - 3*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -38*i**6\/15 + 39*i**2\/2 - 47*i - 2. Differentiate z(p) with respect to p.\nAnswer: -304*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 274, 338, 410, 490?\n\"Answer: 4*z**2 + 52*z + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**3 - 24518072*a**2 - 424065657 wrt a.\nAnswer: 6*a**2 - 49036144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.02399? (a) 0 (b) -0.2 (c) 2\/13 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - -14. Let j = 14 - 10. Suppose -t = -4*a - 5*l, l + 45 = j*a - 4. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70320236 to the nearest integer?\nAnswer: 8386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.07 and -0.12.\nAnswer: 1.2084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -2 + 0*k**2 + 1\/120*k**5 + k**3 + 1\/12*k**4 + 0*k. Let y(r) be the third derivative of u(r). Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*s + 117*s = 11785. What are the prime factors of s?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1 - -2)*-1. Let i be (-3)\/2*(-2 + h). Solve -y + 1 = n - 2, -i = 3*y - 2*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/5 + -4\/15. What is the closest to -1\/132 in w, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/7 + 19992*o**3 + 3077800*o**2\/7 = 0. Calculate o.\nAnswer: -69950, -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -425*g**2 + 6*g - 6. What is c(1)?\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-3)*(3550\/550 - 72\/(-132))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 7) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(162))**2*3.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(97\/(-291))*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 470 - -2?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 9*g**2 - g - 3. Let b(k) = 111*k - 2001. Let q be b(18). Let v(t) = t**3 + 1. Calculate q*v(l) - d(l).\nAnswer: -l**3 - 9*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3673*o. Let q(w) = 568669*w**2 + 1 - 568671*w**2 - 1. Calculate y(q(c)).\nAnswer: -7346*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 8*b**2 + 477*b + 2815. Determine m(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -61*h - 62 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*1361.22.\nAnswer: 680.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 9 = -10*b. Suppose 2*l = -p + 22, -9*l = p - b*l - 26. Let n = 19 + p. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -3 + 14 - -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 23 = -2*m - 8, -4*u + 2*m = -6. Let t be (-2)\/5 - (-51)\/15. Suppose t*l = -2*y + 17, 0 = u*l + 2*y + 3*y - 20. Solve 2*h - l = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 594 + -592. Suppose -4*u + n*z + 9 = -13, u = -5*z. Suppose 0 = -0*h + 2*h - 8. Is h <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let v(g) = 39*g**2 - 5*g - 36. Let p(c) = 10*c**2 - c - 8. Let u(t) = 9*p(t) - 2*v(t). Give b(u(q)).\nAnswer: -144*q**4 - 24*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x - 24. Does 6 divide b(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1655 - 1598. Calculate the greatest common divisor of z and 532.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, 0.2, 2072?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143922623 - 143922623 - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 g when three letters picked without replacement from egeegg.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 18 = -3*v, -3*v = 2*i - 4*i + 30. Let c be (v\/16)\/((-2)\/(-16)). Is c\/(-12)*3*751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b - 5*s - 15, 5*s + 15 = 2*b. Suppose -2*u - 14 = 2*j, -161*j + 166*j + 3*u = -25. What is the closest to b in 8, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -3*c + 109*c - 86223. Solve -5*h - 686 = -c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (1 - (-10 - (-1 - 7))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -335*b**2 + 334*b**2 + b - 37*b + 7*b to the form d + y*b + i*b**2 and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4688)\/(-520) + (-39 - (-4 - 26)).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*c = -39, 4 + 56 = -5*t - 5*c. Let i(h) = -3*h - 25. Let s be i(t). Solve -d = -4*b + 5, -s = -b + d - 0*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v. Let h be n(1). Let t = 100.55 + -102.55. Sort -2\/49, t, h in decreasing order.\nAnswer: -2\/49, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 4*l + 8*l**2 - 7*l**2 to p*l**2 + k*l + y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2380 + 2384. Solve -u + 4*y = 24, -m = -2*u - 2*y - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252385492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 120, 86, 20, -84, -232?\n\"Answer: -s**3 - 10*s**2 + 3*s + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from lfllflllllllflll.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70549*0.5.\nAnswer: 35274.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 2*t**3 - 5*t**3 - 1 + t + 3*t**3 - t**3 - 3*t**3 + (-2*t - t + t)*(t**2 - t + t).\nAnswer: -4*t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17633, 3, 2, -2.\nAnswer: -17633, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 3*k**2 + 8*k - 11. Let j(x) = -x**3 - 4*x**2 + 8*x - 10. Let c(r) = -4*i(r) + 5*j(r). What is c(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 400 - 1613\/4. Let s(c) = c - 6. Suppose 2*l - 32 = -4*u - 3*l, -4*l + 19 = u. Let o be s(u). Is h bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 34.\nAnswer: -4, -2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 56\/20 - (1 + 0).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/56)\/(2\/(-2))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.5. Let d be ((-9)\/21*-1)\/(-1). Let h = 445 + -442. What is the closest to a in 0.1, d, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 + 317*d**3 + 4*d + 96*d**3 - 78*d.\nAnswer: 413*d**3 - 74*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = y, 3*w - 8*w = 5*y - 50. Which is the third smallest value? (a) -3\/13 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d04 (base 14) to base 13.\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 112*x + 2348. Give h(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 4. Let g be u(-2). Suppose -3*n - 4*r = -369 - g, -2*r - 502 = -4*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(2 + -24). Let n(c) = c**2 - 2*c + 45. Does 59 divide n(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 2:14 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6809 - -0.2.\nAnswer: -6808.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -36\nAnswer: -13\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(2\/7))\/d)\/d**(2\/33))**1 assuming d is positive.\nAnswer: d**(283\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 6*d - 6. Suppose -177*n - 6384 = -184*n. Let s(m) = m**2 - 8 - 913*m + n*m + 7. Determine 4*s(y) - z(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 117510000 to the nearest 1000000.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674681, -1349357, -2024033, -2698709?\nAnswer: -3373385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 772013 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/20 + r**3\/2 - 4*r**2. Factor w(y).\nAnswer: -3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -661*k + 5. Let a(z) = -15862*z + 121. Let u(n) = -10*a(n) + 242*j(n). Let b(q) = -6*q**2. Give u(b(y)).\nAnswer: 8052*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 5*n**2 + 48 - 23 - 11 - 6*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.708 - -0.072. Let u = 6.57 + w. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*p**4 - 1576*p**3 + 1988*p**2 - 440*p.\nAnswer: 4*p*(p - 55)*(p - 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1079263178 to the nearest integer?\nAnswer: 32852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/1739 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 3*m + 2*f - 48, 17 = -2*m + 5*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 939*q**2 - 1871*q**2 + 930*q**2. Let a(n) = 565*n**2 - n. Calculate a(s(x)).\nAnswer: 2260*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4 = -c, 2*z - 3*c = 40. Solve -13*g + z*g - 2 = 0, 5*n - 2*g + 29 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119493.7 millennia in decades?\nAnswer: 11949370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2016.303 - 2014. Round p to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 5*z**4\/8 + 133*z**3\/6 + 39*z**2\/2 + 2699. Find o such that u(o) = 0.\nAnswer: -26, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 + 1330*a\/9 - 2636\/3.\nAnswer: -2*(a - 659)*(a - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 3*y**2 - 121*y + 239. Give d(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 24.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*q - 11504, -y + 3*q = 1978 - 13454. List the prime factors of y.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 3\/2*r**2 + 9 + 14*r. What is the first derivative of c(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*a - 45*a. Suppose -154*z + 148*z + 30 = a. Solve -z*f = -6*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(3\/4))*k*k**13)\/(k\/(k*k\/(k\/k**(-1\/7)))*k)**(-2\/37) assuming k is positive.\nAnswer: k**(14309\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -12. Let j = 15 + 20. Let b = 63 - j. Calculate the remainder when b is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -78\/5*f**5 + 0*f + 0*f**4 + 141 + 30*f**3 + 0*f**2. Find the third derivative of i(d) wrt d.\nAnswer: -1872*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/38, 1, -5?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**4 + 4*a**3 - 4*a**2 + 6. Let k(b) = 3 - 2 + b**3 + 0*b**4 + b**4. Let y(q) = c(q) - 4*k(q). Factor y(f).\nAnswer: 2*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - (-16 - -21)) + -26.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -3, 10, -4, 4 in descending order.\nAnswer: 82, 10, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15*10\/135*36\/55*3850\/(-1540)\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/5)\/((-2)\/(-5)) - 0. Let v = 367 + -202. Suppose h*n = -0*n + v. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41765*v**5 + 65747*v?\nAnswer: 835300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 3, m: 3}. What is prob of sequence ww?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + t - 833 = -830, 0 = -5*k + t + 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*r + 13. Suppose -3*w = 2*w + 4*g - 421, -r*w = 2*g - 251. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 + 0*h**4 + 4*h**4)*(-3 + 3 - 1) - h**4 - h**3 + h**3.\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8 + 1980\/230) + (-4)\/(-14). Put y, 0, 1, 5, 133 in descending order.\nAnswer: 133, 5, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 + 152. Find the third derivative of 69*n**6 + 3 - 2 - n**2 - u*n**2 - 2 wrt n.\nAnswer: 8280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 2. Let p(s) be the first derivative of -3*s**2\/2 + 4*s - 36. Let f(h) = -4*l(h) + p(h). What is f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, q: 2, w: 2, j: 2}. What is prob of picking 1 w and 2 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Let y be (70\/(-21))\/(v\/(-6)). Solve -y*l = -5*k + 5, 7 = 2*l - 5*l - k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 8 - -8 - -31?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3306 + 134 = 0. Let h = g - 486. Suppose 2*t + 3*q = h, 2*t - q - 52 = 134. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/378707994 and -151\/12816.\nAnswer: 3029663952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b. Let q(i) be the second derivative of -i**6\/360 - i**3\/6 + 15*i. Let c(u) be the second derivative of q(u). Give f(c(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 45, -32, 0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 - 1266?\nAnswer: -1264.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5353 and 2?\nAnswer: 10706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -65180011?\nAnswer: 456260077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/8 - 7*f\/8 - 3\/4.\nAnswer: -(f + 1)*(f + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**4 - 22047209*z**3 + 2*z**2 - 34986*z + 164 wrt z.\nAnswer: -12*z**2 - 132283254*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-8)\/1800*20\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 204?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (187 - 64)\/((-3)\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183899577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11393, -11414, -11435?\n\"Answer: -21*c - 11372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1957, -1980, -2037, -2146, -2325, -2592?\n\"Answer: -3*t**3 + t**2 - 5*t - 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 + 242\/(-11))\/(2*1) + (-825)\/125.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n - 22 - 40 = 141. Let b(x) = 9*x + 8. Determine b(n).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = -5*g. Let y = 0 + g. Suppose -y*v = -11 - 22. What is the smallest common multiple of v and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**2 - 17*k**2 - 148*k**3 - 10*k**2 + 25*k**2 + 23*k**2.\nAnswer: -148*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 706976393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174702 or 174706?\nAnswer: 174706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 280, 752, 1346, 2062, 2900, 3860, 4942?\n\"Answer: 61*b**2 + 289*b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201225.\nAnswer: 3, 5, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 66*d**2 + 190*d + 281. Calculate p(-63).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 511 + -387.4. Let w = 124 - f. What is the second smallest value in -96, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 409*n - 1624. Let j be l(4). Solve 5*d = 20, -5*d = -2*m + 8 - j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*b + 599 - 2210, 2*b + 4*o - 1098 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/20 + 7*h**4\/12 + h**3\/2 - 2*h**2 + 558*h. Give l(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, l: 4}. Give prob of picking 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.71865 centuries to millennia.\nAnswer: 6.571865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -963*l - 4836. Give d(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 10*k + 45*k - 9*k + 18*k - 1 to the form u*k + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -1 + sqrt(5) - sqrt(5)) + (0 + sqrt(5))*-4.\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 565619*a + 2 + 1 - 569003*a as f*a + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2441 or -2565?\nAnswer: -2565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/2)\/(-5))\/(1\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -99, -1 in ascending order.\nAnswer: -99, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(0 + 1 - 3). Let a(b) = b + 7. Let x(q) = 4*q + 29. Let u(t) = 9*a(t) - 2*x(t). Let z be u(w). Solve z*d + 8 - 28 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*((-6)\/(-10))\/(((-1638)\/52)\/(-3))?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 163*t + 425 = -2116 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 + 1459*t**2 + 408239*t - 409699 = 0. What is t?\nAnswer: -1081, -379, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/140 and 23\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-9\/7)*f)\/f**(-13\/4))\/(f**(-27))**(-25) assuming f is positive.\nAnswer: f**(-18817\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -0.8, 0, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3877 - -345050\/89. Suppose -5*b = -a - 7, 0*b + 2*a + 5 = b. Which is smaller: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/7))**(-1\/19)*(h**(-1\/2))**(-47)*(h*h**(-1)*h*h*h*h)**(-12\/17)\/((h**5*h)\/(h*h\/(h\/(h\/((h\/(h**8*h))\/h)))*h)) assuming h is positive.\nAnswer: h**(120461\/4522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/8 and -3 + (-225)\/24 - (1 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 9. Let k be g(-4). Let h(p) = 11*p**3 - 6*p**2 - 11. Let n(y) = -7*y**3 + 4*y**2 + 7. Calculate k*h(d) + 8*n(d).\nAnswer: -d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/3 or -26483?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -8, -7, -40, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 22*g**2 + 59*g + 4. Determine b(19).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -397*f - 1985. Let z be w(-5). Let m be (-2)\/4*(-6)\/15. Which is the nearest to z? (a) 2\/9 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by 3.\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960036?\nAnswer: 2, 3, 7, 11, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -673 (b) 0 (c) -216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose v = g + 29 - 81. Let p = g - 19. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 29. Let r(j) = 18*j - 90. Let u(o) = 2*r(o) + 7*v(o). Let t(c) = -10*c - 15. Determine -8*t(d) - 5*u(d).\nAnswer: 5*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -506 or -900117\/1778?\nAnswer: -900117\/1778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 157494*((-8)\/(-6) - 1). Suppose -2*b = 3*r - b - 52513, 4*b - g = -3*r. Let p = r + -315233\/18. Find the common denominator of -38\/15 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864 - 59 = 115*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**6*m**3 + 2662*g**6 + 29*g**2*m**3 + 7*g**2*m + g*m + 226*m**3 wrt g.\nAnswer: -480*g**3*m**3 + 319440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2021?\nAnswer: -3\/2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 18. Let m = -2 - i. Suppose 2*b + 13 = 3. Sort m, -7, b in descending order.\nAnswer: m, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.6 and -9545250.\nAnswer: -9545266.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4*(-56)\/(-28))\/(2\/84).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (90\/48*1476\/(-615))\/(12\/10)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1887.5 - -1887.1. Let d = 232 - 1620\/7. What is the smallest value in 0, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16) - ((-39)\/(-12) - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and 1972496936069.\nAnswer: 1972496936068.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/21*(2 - 1))\/((-2)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 300 = -3*j, q - j = -q + 197. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7568 >= 7572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/4 - k**3\/3 + 3*k**2 - 8*k - 52. Calculate the lowest common multiple of 12 and s(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - q + 3, -2*q + 2 = 4*v - 4. Which is the nearest to v? (a) -0.2 (b) -0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/7749 and -34\/4281.\nAnswer: 11057823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4 - i. Let u(p) = 29 - 9*p**2 - 8*p**2 - 29 + 3*p**2 + 16*p**2. Give v(u(n)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n = -58*n + 4*m - 50, -6*m + 81 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + (4 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-15)*-3 + 5. Suppose 5*y + 5*u - 130 = 0, j = -3*y - 0*y + 3*u + 72. Calculate the remainder when 97 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**8\/28 + h**7\/21 - 13*h**6\/60 + h**5\/15 - 22*h**2. What is v in s(v) = 0?\nAnswer: -2, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/573 and 0\/2 + 58\/(-145) - 3\/135.\nAnswer: 8595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 698915.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -10. Let g = 17 + -13. Calculate the highest common factor of j and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.63 + 158213.\nAnswer: 158216.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27709, 28378, 29493, 31054, 33061?\n\"Answer: 223*q**2 + 27486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15834174 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 5. Let c(y) be the first derivative of y**4\/2 + 3*y**2\/2 - 3*y + 2. Let a(l) = l**3 + 2*l - 2. Calculate p*c(b) + 3*a(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35723503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 4*q + 2. Let g(j) = 6*j**2 - 40*j - 17. Let f(y) = -g(y) - 10*o(y). What is f(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 6*w + 345 = 0. Let a(i) = -3*i + 5 + w - 16. Determine a(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 6.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 442 - 106. Let w = -418\/5 - a. What is the nearest to w in 0.2, -0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1513 + -1508. Put 2, -173, d in descending order.\nAnswer: d, 2, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**6\/360 + 7*t**5\/120 + 92*t**3\/3 + 9. Let p(z) be the third derivative of k(z). Find j such that p(j) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 35*b - 210. Let g(z) = -5*z + 31. Let f(p) = -20*g(p) - 3*k(p). Let t(c) = 4*c - 10. What is -5*f(a) - 6*t(a)?\nAnswer: a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 - 1 - (2 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72285 equal to 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 569\/2170 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let z = -4 + 2. Let g = -5 - -37\/7. Which is the third smallest value? (a) g (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14451457.\nAnswer: 19, 53, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -2750a?\nAnswer: 27507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (108\/1302)\/(((-207)\/(-69))\/(140\/20))\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*k + 18 = 0. Solve k*h = -3*w, -4*h - 5*w = -7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577695.\nAnswer: 3, 5, 19, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 3*d + 23*d to l + c*d and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7237.162 millilitres?\nAnswer: 7.237162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 1\/6 (c) 28.279 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1992 (base 13) to base 5.\nAnswer: 110322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + 2*l - 2*l)*(39*l**2 + 684*l + 34*l**2 - 71*l**2) to the form d + p*l**3 + x*l**4 + w*l**2 + j*l and give p.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -90, 2008, 6294, 12762, 21406, 32220, 45198, 60334?\n\"Answer: -s**3 + 1100*s**2 - 1195*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z - z)*(3*z + 3*z - 4*z) + 196*z**2 - 116*z**2 - 147*z**2.\nAnswer: -71*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, 64 in increasing order.\nAnswer: -2, 0, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/5*(-3)\/(-6))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {x: 2, g: 1, b: 1, i: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101385826.\nAnswer: 2, 550692913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 58 = -5*a, 2*a + 4 - 28 = d. Suppose p - 2*o = -p - 4, 2*p = -4*o + a. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8695, 11078, 13461, 15844, 18227?\nAnswer: 20610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 + i**2 - 2*i - 4. Let m(k) = 3*k**2 - k + 1. Let b be m(1). Suppose -2*f - 24 = 4*w, -w = 4*f + 16 - b. Does 8 divide c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 0) + -21 + 10 + (5 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(12) - sqrt(972)*2 - sqrt(12)) - (2*sqrt(130)*3)\/sqrt(10))*-2*-3 + 3.\nAnswer: -109*sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10461944 is divided by 3231?\nAnswer: 3197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y**3 - 6*y**3 - 2*y**2 + 4*y**3)*(0 + 0 - 2)*(-2*y + 0*y + 4*y).\nAnswer: -80*y**4 + 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, 6\/5, 2\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (18 - (9 + -45))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 72*j - 2224. Determine c(31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-3)\/5) - (-21 + (-224)\/(-14)). Let h be -12*(-6)\/(-33) + 2. Which is the third biggest value? (a) h (b) v (c) 2 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 683.2148 litres to millilitres.\nAnswer: 683214.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 0*k + 42*k**2 - 26*k**2 - 15*k**2 - 13. Is u(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 16 = -3*c - 5*j, 6*c = -j - 56 + 42 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11*(-2 - 9\/(-3)). Solve -1 = -5*t - o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 23*u**4 - 2*u**3 - 276*u**2 - 344*u + 32 = 0?\nAnswer: -2, 2\/23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38389\/126 - -2158\/7. Calculate the common denominator of c and -55\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*a**3*f - 7*a**3*h + 1337*a**3 + 108*a**2*f*h - 2*a**2*h + a*f*h wrt f.\nAnswer: -6*a**3 + 108*a**2*h + a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/42*5\/10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 2*p - 2*p**3)*((0*p + 3*p - 5*p)*(0 + 6 - 4) + 5*p + 2*p - p) as f + m*p**4 + t*p**2 + d*p + k*p**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 3008940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -893\nAnswer: -7\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 - ((-2 - -4) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Suppose 155*j + 14 = 157*j + 2*k, 20 = 4*k. Let w(q) be the second derivative of 0*q**j + 5\/2*q**3 - 3*q - 1\/12*q**4 + 0. What is b(w(h))?\nAnswer: -h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 670*d**2 - 34*d + 118. What is the hundreds digit of w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 80 = 97. Let n(a) = -2351 + 2351 - u*a. Let t(g) = -7*g**2. Give n(t(b)).\nAnswer: 119*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3824 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29231 rounded to 3 decimal places?\nAnswer: 0.292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106.60029 - 106.6. What is n rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-12))\/((-3)\/10). Suppose q*m - 305 = -n, -3*n + 3*m = -0*n - 825. Calculate the highest common factor of n and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 7360 = -45*x - x - 13*x for x.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12. Solve -d = -v*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -24. Let d = f - 12. Solve 4*w = -5*i + 2, 4*i = -3*w - 2*w - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d + 1. Let r be q(1). Let f be 7 - (r - (-3 - 1)). Solve -f*z + 8 = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/7 - 24*u**4\/7 + 164*u**3\/7 - 120*u**2\/7 - 306*u\/7 = 0.\nAnswer: -17, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -270*a + 1250. Let x(m) = -13*m + 60. Let s(j) = 6*d(j) - 125*x(j). Let g(n) = 2*n - 555. Calculate g(s(y)).\nAnswer: 10*y - 555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 30 = m, -11 - 4 = -3*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 24 = 20*u. Solve 16 = -o + 5*f, 4*f - 4 = u*o + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 + 82. Let n = f + 189. Suppose 2*z - 90 = -2*c - 52, -c + 17 = 2*z. Calculate the remainder when n is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2124*p**2 - 520*p - 304. Let s be k(-71). Round s to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 1 + -1764 + 1761?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2799499028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 16*t - 6*t - 8*t + 2*t**2 to the form u*t**2 + s + k*t and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 > -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -1.2. Let x = 30.2 + -30. Let v = 234 + -236. Which is the closest to x? (a) d (b) -3\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:08 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/9 - 158*t**2\/9 - 991*t\/9 + 1148\/9 = 0.\nAnswer: -7, 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - 12.5. Let k = -14 - d. Is k smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 11) to base 13.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/13*546\/252.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**3 - 7*n**2 - 5*n - 6. Let x(h) = 7*h**3 - 6*h**2 - 4*h - 5. Let z = 45 - 203. Let u = z + 152. Determine u*s(m) + 7*x(m).\nAnswer: m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1185, 2370, 3555, 4740?\n\"Answer: 1185*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-32)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8990.914 litres to millilitres.\nAnswer: 8990914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 0. Sort 1, 2, r in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/18)\/((-4)\/(-24))*18. Solve 2*l + 7 + 1 = -4*d, -d - p = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 13)*((-132)\/(-9))\/2. Let f = 16 - 6. Calculate the remainder when (-233)\/(-6) - (-11)\/j is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + -3 + -6*3*2*sqrt(242)*-1*3.\nAnswer: 4 + 1188*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n + 3. Calculate the remainder when 460 is divided by j(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -17. Let k = 6 - v. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40622 and -0.31?\nAnswer: -12592.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 0.11 (c) 2\/7 (d) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 4*f. Let h = -13 + 14. Let p(j) be the first derivative of j**4\/4 - j**2\/2 - 2. What is h*p(n) - q(n)?\nAnswer: 2*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 353e9 (base 15) in base 11?\nAnswer: 106502","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (0 + (7 - 3)). Suppose -375 = t*o - 1902. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 6*f**3 + f + 7*f.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1854 greater than -1763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/72*(-6708)\/104.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0*y**5 + 0*y**3 + 0*y**6 + 13*y + 0 + y**4 + 0*y**7 - 1\/8*y**8 + 0*y**2. What is the third derivative of t(z) wrt z?\nAnswer: -840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - u - 113 = 0, 126 = 4*h - u + 35. Let n = -18 + h. What is the highest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a micrometer in nanometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/134 + -3049\/1474. Calculate the common denominator of i and 6*2\/6 + 74\/(-9).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -1\/7, -1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goz when three letters picked without replacement from ooszzzgozz.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30380868 at most as big as 30380862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763918?\nAnswer: 2, 29, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 103495668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = 0, 0 = -4*l - l - 5*r + 70. Suppose -556 = -l*u - 142. Let t = 33 - u. Solve 3*j + 2*j = -t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s = 95*s + 63 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 4, 1 in increasing order.\nAnswer: -7, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.1. Let n = 0.05 + -0.0456. Let j = -3.2956 - n. Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v + 2. Is (1 - 0)*v - -86 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*o**5 + o**4 - 106*o**3 + 3*o**2 + 23*o - 439 wrt o.\nAnswer: -1380*o**2 + 24*o - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -239*t - 2237. Determine a(-10).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4575 and 1500.\nAnswer: 91500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 2*w**2 + 2*w**2 + (-w - 2*w + w)*(-6*w + 3*w + 0*w) to the form u + n*w**2 + y*w and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l + 9*l + 11*l to the form p + c*l and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -3, -5 in descending order.\nAnswer: 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*s + 3*s - 32, 2*s = 2*f - 40. What is the least common multiple of f and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -9*t**4 - 2*t**4 + 4*t**5 - 3*t**4 + 18*t**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*u**3 - 3*u - 38*u**3 - 2 + 18*u**3 in the form y + r*u**2 + d*u + i*u**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9*(935\/60 - (-3)\/(-12))?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1512900 to the nearest ten thousand.\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 9*j + 37. Let a = 64 - 61. Let o be h(a). Let x(f) = f**2 - 1. Let r(d) = 2*d**3 - 2*d**2 + 3. What is o*r(p) + x(p)?\nAnswer: 2*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39740 - -63384. List the prime factors of s.\nAnswer: 2, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12055\/3448 or -4?\nAnswer: -12055\/3448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 389\/10, 142, 0.4, -5 in increasing order.\nAnswer: -14, -5, 0.4, 389\/10, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 13*t + 3*c - 7, -2*c = 5*t + 10. What is the remainder when ((-675)\/20)\/5*t is divided by (-1)\/(-4) - (-27)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -12, 18 in increasing order.\nAnswer: -12, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1144 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 19 + 14)*(1 - 2*s**2 - s**2 + 5*s**2) to the form p*s**2 + w + z*s and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1466*i*u**3 + 96*i*u**2 + 36*u**4 - 247*u**2 wrt u?\nAnswer: 8796*i + 864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + sqrt(13)*2 + -1 + -2)**2*-1.\nAnswer: -217 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7552 - -7549. Which is the nearest to o? (a) -3\/172 (b) -3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -117.098. Let o = 0.098102 - m. What is o rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 4849 = -3665. Let t = -772 - h. Solve -3*b + t*b - 3*j + 17 = 0, 3*b + 5*j - 31 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 3*d + 0*d)*(-838 - 3460 + 1852) in the form t*d + f and give t.\nAnswer: 4892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -957469 * -0.107\nAnswer: 102449.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11333.1 - -1078980?\nAnswer: 1090313.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 923 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d8 - 6?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 45880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -3782347?\nAnswer: -3782347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 34*r = 5, 0 = -t - 5*r + 23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 smaller than 1235.36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - 1*sqrt(104)*3) + sqrt(104))\/(sqrt(80)\/(sqrt(40)\/sqrt(4))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/h**(-1\/13))**(2\/23)*(h**(-5\/3))**(2\/53) assuming h is positive.\nAnswer: h**(13864\/47541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138.1 + 137.1. Let n = 823\/11 - 75. Put 1, 2\/7, t, n in ascending order.\nAnswer: t, n, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*z + 3. Suppose i - 5*i = 0. Suppose -1 = -d - i. Put d, z, 2 in ascending order.\nAnswer: z, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 + 5 = -3*o, -2*r = -o - 4. Solve r - 7 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = 37*h - 52. Solve -4*f - 5*m + h*m = -17, -4 = 2*f - 2*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42484, 84994, 127554, 170188, 212920?\nAnswer: 255774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1104, 2210, 3316, 4422?\nAnswer: 5528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 984 - 478. What is the least common multiple of 460 and s?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -15. Let r(m) = 3*m + 4. Let u be r(h). Suppose 2*f - 3*y - 60 = 41, -f + 2*y = -49. Calculate the greatest common factor of f and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*u - 1572103, 22*d - 2*u - 6288452 = 18*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2 + 14*n + n + n - 13*n - n - 3*n**2. Give j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000386 to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10116.85*4.\nAnswer: -40467.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2229\/(-133740)*((-60)\/21)\/2.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 26 in descending order.\nAnswer: 26, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let f = 4679 - 4676. Let c(b) be the third derivative of -2*b**2 + 1\/60*b**5 + 1\/6*b**4 + 0 + 0*b + 1\/6*b**3. What is f*w(x) - 2*c(x)?\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2\/3*j - 1\/9*j**6 + 4\/9*j**3 - 2\/5*j**5 - 3 + j**2 - 1\/3*j**4. Factor p(o).\nAnswer: -2*(o - 1)*(o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66805.1mm in micrometers?\nAnswer: 66805100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0328734917 to 5 dps.\nAnswer: 0.03287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*s + 54 = 348*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3025 (base 9) in base 16?\nAnswer: -8a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 3*n + 12. Let p be (-2)\/(-16) - (-1260)\/160. Let u = n + p. What is the highest common divisor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/40)\/(2\/4 + 0)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) -3\/4 (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1142674801*z**3 + 2*z**2 + 340615769*z wrt z?\nAnswer: -6856048806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/528)\/(2702\/385 - 7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118\/3 + 40. Let p(w) be the second derivative of -4*w - 1\/2*w**2 + 0 + 1\/12*w**4 + j*w**3. What is p(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1420231 (base 5) to base 2.\nAnswer: -111001100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 7. Let q(l) = -l. Let n(p) = m(p) - 4*q(p). Suppose -2*i - 2*f - 22 = 0, -7*f - 43 = 3*i - 2*f. What is the units digit of n(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-4)\/(-1) - 3). Suppose -j + c*j = 0. Suppose -2*q + 8 + 16 = j. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2\/4 + 4691*b\/4 - 1004735 = 0.\nAnswer: -5431, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 662*t**2. Let q(z) = z. What is g(q(c))?\nAnswer: 662*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -19215 and -19215 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 3, 49, -16 in increasing order.\nAnswer: -16, -5, 3, 9, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 7*q - 5. Let j be n(8). Suppose 4*h + 3*g - 36 = 33, 0 = -3*h + j*g + 36. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - ((-7 - (7 + -16)) + -10 + 11) - 7?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + b - 14 - 23, 4*f + 2*b + 56 = 0. Let k be -1*5\/(5\/8). Let p = k - f. Solve -p*u = -u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150739905 by 3.\nAnswer: -50246635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1774 + -1754. Solve v - 3*v = -5*q - m, 0 = 4*v + q + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -56, -55, -54?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 12. Let p be t(8). Let b(l) = l**3 - l**2 - l. Let h(n) = n + 10*n**2 + 6 - 5*n**2 + 6*n**2 - 7*n**3. Let z(d) = -6*b(d) - h(d). Determine z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 + 1340*x**4 + 92425*x**3 + 355090*x**2 + 438240*x + 174240 = 0. What is x?\nAnswer: -132, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*(-98)\/(-21). Let y(l) = -l**3 - 8*l**2 - 10*l - 5. Does 8 divide y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, 1 w, and 1 i when four letters picked without replacement from {i: 2, l: 4, p: 1, v: 2, w: 6, y: 3}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-7)*l)\/l)**(-4\/9)\/((l**(3\/25)*l)\/(l*l\/(l*(l**(-2\/5)\/l*l)\/l*l))) assuming l is positive.\nAnswer: l**(563\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32404 - 32401. Let u(h) be the first derivative of -3\/2*h**4 + 0*h + 7 + 1\/3*h**6 + 0*h**5 + 4\/3*h**r + 0*h**2. Let u(z) = 0. What is z?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 436361409?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1419*j**3 + 65*j - 7.\nAnswer: 8514*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:25 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4888.727 rounded to the nearest integer?\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/20507277 and -95\/42?\nAnswer: 41014554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.3277\nAnswer: -0.13108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 1143*h - 9077. Give b(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -232386, -464935, -697484?\n\"Answer: -232549*g + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 418*z**2 - 2*z - 1. Suppose -9*o + 29*o = 20. What is the tens digit of g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 0.2. Let z = 0 + 1. Let x = 6 + -5.6. Which is the closest to z? (a) 1 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 92585871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285.7 - -286. Let o be 3 + (-222)\/27 + (-8 - -13). Which is the closest to -0.2? (a) t (b) -3\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r + 13 = 5*k, 0 = 4*k - 4*r - 20. Let q be k\/12 + (-21)\/(-12). Suppose q*n = 3*v - 149, 4*v + 3*n - 196 = 7*n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 6) to base 16.\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3131?\nAnswer: 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3*a)*(2*a + 0*a - a)*((-40 + 13 - 7)*(3*a**2 + 0*a**2 - 2*a**2) + 3 + 3 - 4 - 2*a**2 - a) as x*a + t*a**3 + f*a**2 + z*a**4 + i and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -51. Suppose -4*h - 2*h = -102. Which is smaller: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72\/53 + 519\/265. Suppose -1\/5*x**3 + 0 + 0*x + h*x**2 = 0. What is x?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from xaincei.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41414386800 rounded to the nearest one million?\nAnswer: 41414000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 195167115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628992?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -281 - -290. Suppose 0 = 5*m + 4*y - 11, l*m - 3*y - 9 = 7*m. Solve -n - 8 = -m*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.03 - 0.03. Let k = b + -18. Let o = -12.08 - k. What is the second biggest value in o, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:46 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 955 - 953. Suppose -g + 49 = 5*s, 0 = -3*s + g + 32 - 1. Find the second derivative of -29*a + a**2 - a**l + 31*a + s*a**3 wrt a.\nAnswer: 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpmpp. What is prob of sequence qp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -34*f**2 - 46*f + 34. Let m(z) = -11*z**2 - 16*z + 12. Determine -6*k(s) + 17*m(s).\nAnswer: 17*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.03757 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 9*q + 8. Let f be v(8). Let b = f + -32. Let x be ((-1)\/(-3))\/(b\/(-96)). Solve y - 4*a - 19 = 0, -5*y - x*a = -y - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 67 + -6 + -25 - (3 - 0).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -7 - (-2 + -1 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781927017.\nAnswer: 3, 73, 733, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 1710 - 1709 + 5125 - 1706.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 + 12.22. Let d = 11.9 - s. What is the third smallest value in 0, 2\/17, d?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67955.\nAnswer: 5, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -421 - -3300300?\nAnswer: 3244324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 5:42 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 7281 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 324 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h - 4. Suppose 1 - 3 = -o. Let q = 2 + 3. Suppose -o*z + 3*z = r, q*z - 2*r = 0. Give u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -1\/90*k**5 + 0*k**2 + 12*k + 0*k**3 - 1\/9*k**4 + 1\/135*k**6 + 1. Factor i(z).\nAnswer: 2*z**2*(z - 3)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4215.\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2296)\/(-18081))\/((-8)\/280)\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673524*x + 54312*x - 37733*x.\nAnswer: 690103*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m. Let y(w) = -2*w - 1. Let a(z) = 7*z + 3. Let q(k) = a(k) + 3*y(k). Give o(q(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 314804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10*f - 4*i - 16, -4*i - 16 = f. Solve f = p - 0*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190*b - 286 = -1216*b. Factor b*t**2 + 0 + 121\/2*t + 1\/2*t**3.\nAnswer: t*(t + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (871\/52 - 17)\/(5\/(-4)). Factor -v*b**2 + 1\/5*b + 0.\nAnswer: -b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -681 from -22.\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 278.72t in grams?\nAnswer: 278720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157\/5 + -31. Let z = 7623 - 68605\/9. What is the biggest value in r, z, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 4. Let q be v(0). Let i be (-8)\/16*(-2)\/q. Let h = -0.3 + 0.1. Which is the nearest to 0? (a) i (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -l - 4*v, 4*v + 17 = -3. Suppose -l*r = -r. Solve -q - 2*q + 12 = -m, -q - m = r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r - 5. Let s(d) = 5*d - 6. Let k(l) = -6*i(l) + 5*s(l). Let a = 17 + -11. Let y(t) = -2*t**2 + 0*t**2 + a*t**2 - t**2. Determine k(y(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93336, 93340, 93344, 93348, 93352, 93356?\nAnswer: 93360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 167, -0.4.\nAnswer: -1, -0.4, 1, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.156 - -0.535. Let v = 97.4 - 96.42. Let g = h + v. What is g rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 5. Let b be u(-5). Suppose -2*o - 3*o = b. Solve 5*x - 15 + 5 = o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 386, 774, 1162, 1550, 1938, 2326?\n\"Answer: 388*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42156\/(-5855))\/((36\/(-20))\/(-3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.649297l?\nAnswer: 649.297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-16 + 47 + -12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 7*y - 3*y)*(-4*y**2 + y**2 + 2*y**2) + (-790 + 790 - 7*y**2)*(5*y - 4*y - 2*y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -21*b**3 + 2*b**2 - b - 9. Let n be q(3). Let g = -318 - n. Suppose z - 54 = -27. Calculate the highest common factor of g and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 14 (c) 2\/5 (d) 17 (e) -4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 1 (b) -1 (c) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12169384 rounded to four dps?\nAnswer: -0.1217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441561 and 2794287.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 74*b + 226. Give k(-5).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38589399.5 rounded to the nearest one hundred thousand?\nAnswer: 38600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 2)*5*(3 + -2). Let w = 22 + -4. Let x be (-4)\/(-6)*w\/48. Which is the nearest to -2\/3? (a) y (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times -4?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**3\/8 + 57*v**2\/8 - 117*v\/8 + 59\/8 = 0.\nAnswer: -59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 468 + -433. What is the smallest common multiple of n and 275?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 5:21 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -25\/17856472 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h**2 - 6*h**2)*(181281*h + h**2 + 56*h**3 + 1 - 181281*h).\nAnswer: -112*h**5 - 2*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 0.332786.\nAnswer: -0.0166393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7482 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140*q - 581*q + 287*q - 1347 - 599*q wrt q.\nAnswer: -1033","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(245)\/sqrt(7)*1*-1)\/(sqrt(1008) + (sqrt(1008) - 6*sqrt(1008)*2) + -2*(sqrt(1008) + -2*sqrt(1008))).\nAnswer: sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -0.46. Let d = x + -0.06. Let u = -431 + 426. Put u, d, -1\/19 in increasing order.\nAnswer: u, d, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*z + 95*z + 88*z - 67*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -79501 (base 11) in base 2?\nAnswer: -11100000110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - k**2 + 0*k**2 - 3*k)*(-20*k - 455 + 455 + (0 - 3 + 6)*(-2*k + 5*k - 5*k)) to the form x*k + c*k**2 + z + m*k**3 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-267)\/(-168) + -2 - 16\/(-56)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 26 - 6 = 0. Suppose 30 = q + q + 2*f, 78 = m*q + 4*f. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1148 + 1148 + 41*n)*((n - 2 + 2)*(-1 - 2 + 2) - n + 3*n + n + (4 - 1 - 2)*(n + 4*n - 3*n)) as y*n**2 + v*n + h and give y.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*l**4 - l + 345*l**3 + 11 + 9*l**4 - 343*l**3 to p*l**4 + o + d*l**3 + h*l**2 + m*l and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16814 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 3*n + 2*n - n. Let p(x) = -3*x**2. Give s(p(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 3, w: 2, a: 3, l: 1}. Give prob of sequence aw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -33200210?\nAnswer: 33200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - (-54)\/135. Solve -o - 2*u - 6 = l, -4*o = -2*u - u + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 12. Suppose 5*u + 9 = 3*f + 3, -5*u = 3*f - 6. Suppose 4*x = -s - 4*s + 91, f*x - p*s - 23 = 0. What is the greatest common factor of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + t + 316 - 116 = 0, 5*y - 1008 = 3*t. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmgggxmgmgx. Give prob of picking 1 g, 1 m, and 1 x.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -210.003 - -0.003. Let k = 206 + u. Which is the biggest value? (a) k (b) -2\/45 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 0.12, -1.1, -2\/5, -4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 493, 982, 1471, 1960, 2449, 2938?\n\"Answer: 489*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77)*-1 - sqrt(77)) + sqrt(77))*-1)\/((sqrt(121) + (sqrt(121) - 1*sqrt(121)) + sqrt(121) + sqrt(121))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15595739 is divided by 127.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 7695.\nAnswer: -7\/7695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -2 (b) -0.3 (c) -4\/7 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.2. Let w = -23 - -21.3. Let g = w + 2. What is the smallest value in r, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (3*4)\/(4\/6) and (45\/6)\/(-3)*-4.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 41*r**2 + 70*r + 312.\nAnswer: (r - 39)*(r - 4)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035856439 rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 2582339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-14)\/6)\/(246\/82).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -472\/7 in 1\/2, -1\/4, -2\/25, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpzz when four letters picked without replacement from oozppdypizo.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 times -94?\nAnswer: 14852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (5 - 4) + 0 + 20. Calculate the highest common factor of q and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2626003 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(1 + 3*((sqrt(450) - ((sqrt(450)*2 + sqrt(450) - sqrt(450) - sqrt(450)) + sqrt(450) - sqrt(450))*-1)\/sqrt(9))**2).\nAnswer: -9015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.197 (b) -0.09 (c) -1\/2 (d) 10 (e) -5 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - b = 28, -4*b - 22 = 5*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 9.8, 2, -14, -3, -2\/35 in decreasing order.\nAnswer: 9.8, 2, 1\/9, -2\/35, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 5*u. Let r(f) = -f. What is -4*r(g) - s(g)?\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226232127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 9, -2 in ascending order.\nAnswer: -2, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -3*p**5\/20 + 661*p**4\/12 - p**3\/3 - 563*p**2 + 14483*p. Find the second derivative of z(d) wrt d.\nAnswer: -18*d + 1322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:59 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -6, -1\/4 in decreasing order.\nAnswer: 0.15, -1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = j - 17, 2*t - 12 = 4*t - 4*j. Suppose 0 = -t*a - 4, 0 = -x - 2*a - 3*a - 2. Solve -5 = x*m - 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4021 + -4016. Let n = -0.4 - -0.1. Put -1\/3, n, -0.04, w in ascending order.\nAnswer: -1\/3, n, -0.04, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + -5 + sqrt(275) + -1*sqrt(275) + 5 + 4) + 2)**2.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/11619 and -76\/27111.\nAnswer: 81333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -348965*48.9\nAnswer: -17064388.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2391573824 to the nearest one hundred thousand.\nAnswer: 2391600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 10. Let g(y) = -3 + 3 + y**2 + 0 + 10*y - q. What are the prime factors of g(-11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 + 9*p**2 - 9. Let q be -1*(-8 - 3\/3). Let j(n) = -3*n**3 + 4*n**2 - 4. Determine q*j(w) - 4*o(w).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1955*x**2 + 63*x + 194. Let q be y(-3). Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 65088.\nAnswer: 26035.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14043 - -322?\nAnswer: -13321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r + 143 + 94 = -43 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*p - 6, -2*p + 8 - 1 = -y. Let l be 6\/12*(1 + (-6)\/10). Which is the closest to y? (a) l (b) 1 (c) 3\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22444733 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-84))\/((-3)\/(-9))*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/209)\/((-25)\/1375).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -17 and -2299 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -876 divided by 4?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3\/6 + 3*n**2 - 3*n. Let h be z(3). Let u(j) = -j**2 + 3*j + 1. Determine u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 9 + 6. Let c be 0\/1*(-1 + 0). Suppose c*i + 4*s + 4 = 2*i, -i - 3*s = -2. Solve f = -2*z + 8, 3*f - i*f + 20 = q*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1661320, -3322715, -4984110, -6645505, -8306900, -9968295?\n\"Answer: -1661395*y + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o**(-2\/17)*o)\/o))\/o*o\/(o*o*o**(-1\/10)))**(-8\/9))**(-21\/4) assuming o is positive.\nAnswer: o**(-931\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 + 24*t. Suppose 11*u - 18 = -95. Let x be l(u). Put 3, -1, x, -4 in increasing order.\nAnswer: -4, -1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65521359 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670\/18 - (-10052)\/12924?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 18 = -o - 60, -5*o - 8*q - 78 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11106 and 120170622?\nAnswer: 360511866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -6*c - 10*c + 3822. Solve 289*m + 30 = c*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -8. Suppose -3*r = -x - 6*r + 10, -r = -5*x + u. Sort 5, -2, 2, x in ascending order.\nAnswer: -2, 2, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.044, -19, -3?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -8c7788d?\nAnswer: 8c77894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1194, -1179, -1140, -1065, -942, -759, -504, -165?\n\"Answer: 2*m**3 + m - 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 6*h + 7. Calculate the lowest common multiple of g(5) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2112111010?\nAnswer: -2112111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4.927?\nAnswer: 4.927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94664746.82435986 + -39148391.17563986. Let d = -133813156 - f. Let x = 18 + d. Round x to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(p + 2*p - 5*p)*((-1 + 0 + 2)*(3 + 3 - 4) + 1 - 2 - 2 - 4 + 9 + 4).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*h**3*t**3 - 4*h**3 - 2*h**2*t**3 + h*t**3 + 276*h + 2*t wrt h?\nAnswer: 174*h*t**3 - 24*h - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.5, 3, 4, 22?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5392057148 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/4 + 1089*z**4\/2 + 16560*z**3.\nAnswer: -z**3*(z - 2208)*(z + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119200 is divided by 3612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**3 - 53*r**2 + 36*r - 29. Let h be a(17). Solve 25 = -h*l - 2*j, -4*l - 20 = 28*j - 29*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25725760 divided by 80\nAnswer: 321572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*y**4 - 35 + 56*y**3 - 56*y**3 - 28*y**4 wrt y.\nAnswer: -84*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 + -60. Suppose 0 = -2*y + t*y, 5*y + 1245 = 3*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -45*j - 246. Let o be l(-6). Calculate the greatest common divisor of o and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 1. Let b be l(-6). Let h = b + -6. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 5*z**2 + 4*z - 7. Let a be p(-6). Suppose 3*n - 19 = a*i, 5*n = 2*i + 2 + 17. Let x be (i + 8)\/(0 - -2). Solve 4 - 1 = -x*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5068 (base 9) in base 10?\nAnswer: -3707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40.9685 + 41. What is c rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258032861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0*i**5 + i + 0*i**3 - 11\/6*i**6 - 40 - 20*i**2 + 0*i**4. Differentiate y(o) wrt o.\nAnswer: -220*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1998)\/(-24))\/9 - 1\/4 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-22362298\nAnswer: -22362298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10137312 divided by 125152.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -22 - (-84 + 50) - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*f - 0*f. Suppose f + 7 = 5*q. Suppose -3*h - 1 = -q. Calculate the greatest common factor of h and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 44865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -110 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -114*a**3 + 3*a**2 + 5*a + 15. Let s(l) = 57*l**3 - l**2 - 2*l - 6. What is 2*b(m) + 5*s(m)?\nAnswer: 57*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 12:32 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhe when three letters picked without replacement from {e: 4, h: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -272 or -270?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - x**2 + x**2)*(2*x + 3 - 7 - 11 - 3*x + 0*x + 2*x + (-3*x - 4*x + 5*x)*(-2 - 4 + 4) - 4*x + 5*x - 3*x - 6*x + 0*x + x + 2 + 3*x - 2).\nAnswer: x**4 - 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -830*n**3*o**3 + 43*n**2*o + 23*o**3 - 1 wrt n?\nAnswer: -4980*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 7*z + 8. Let f be 3 - 6 - (-13 + 1). Let c be o(f). Let r = -23 + c. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -21. Solve -2*b = -d*m + b + 12, -5*m = -3*b - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.6723 rounded to 1 dp?\nAnswer: 20.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 10010?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(24\/18). Let x be 15\/2*(-4)\/(-6). Let n = x - 7. Is q equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5024)\/(-228) - 6) + 18\/(-513).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365165*n**2 - 9*n + 18858.\nAnswer: -730330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j = 34*j - 1000. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55715?\nAnswer: 5, 11, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 26, 32, 36?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let h(l) = -11*l - 55. Let m be h(-7). Let x be -6 - ((-89)\/m + -2). Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/10 + p**4\/2 + p**3 + 37*p**2\/2 - 1735*p - 1. Let k(c) = c**2 + c. What is -6*k(b) + l(b)?\nAnswer: -2*b**3 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8*-1.2\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14)*(218085\/(-134))\/(-93)*102\/10?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - -9. Calculate the highest common factor of t and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*g**2 + 19*g**2 - 312*g**3 + 314*g**3 - 20*g**2 - 3*g to the form u*g**2 + w*g + t + f*g**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 126.7*-6\nAnswer: -760.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 371556 = 36219. Let v = 93325 - r. What is v rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3118*f - 3119*f - 6, 8*v = -5*f + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5\/9 - 16085104*d**4\/3 + 194047928018096*d**3\/9 - 260106758596127429056*d**2\/9 - 258730570690816*d\/3 + 1040427034385281801216\/9 = 0. Calculate d.\nAnswer: -2, 2, 4021276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32345 (base 16) in base 8?\nAnswer: -621505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -105072518.\nAnswer: -2\/52536259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 362.4 - 369.4. What is the fourth biggest value in q, -0.19, 2\/5, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69741316 to the nearest integer?\nAnswer: 8351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 7. Let b = -8 - z. Suppose 2*w - 4*w + 54 = b. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -2*f - 28, -i - 5*f = -39 + 52 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3770386177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -379 - -388. Solve -34 + 7 = -p*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pjzpzzpzzjzzzjzzzzpz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1701*a**5 + 135728*a**4 + 18518686*a**2 - 12*a - 1.\nAnswer: -102060*a**2 + 3257472*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 785 - 409. Is 31 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/15)*y*y*y)\/y**37)\/(y**(-5\/7)\/(y\/(y\/y**(-13)))) assuming y is positive.\nAnswer: y**(-4664\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14*o - 6*o = 0. Suppose -5*h - 16*g + 18*g - 6 = o, -4*h - g = -3. Factor 1\/4*x**2 + h*x + 0.\nAnswer: x**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*y = 12, -n + 69 - 54 = -5*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 3*a)*(18 - 14 + 12)*(-3*a**3 + a**3 + 3*a**3).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1724430591 > -1724430591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7994, 7853, 7712?\n\"Answer: -141*b + 8135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 7?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37623, 150344, 338205, 601200, 939323, 1352568?\n\"Answer: -g**3 + 37576*g**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/110 and -24\/385.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9458 - 19575 + 7*l**2 + 29033.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*y - 34 = 0, -51 + 71 = 5*y. Sort -3, -2, 1, u in increasing order.\nAnswer: -3, -2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let t be u\/(-6) - (-10)\/4. Suppose -n + 16 = t. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1333\/473 - (-2)\/11. Suppose -5*n + 2*i + 520 = 0, 0 = -n - 6*i + j*i + 104. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**5 - 5*i**4 - 3*i**3 + 5*i**2 + 4*i. Let f(t) = -t**4 - t**3 + t**2 + t. Let k(m) = 6*f(m) - 2*s(m). Factor k(r).\nAnswer: 2*r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5030 to the nearest one hundred.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 6*i**2 - 3*i - 8. What is the remainder when 12 is divided by n(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 + -2?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2. Let s(c) = 2*c + 1. Let f(m) = 3*m**3 - 3*m - 2. Let r be f(-1). Let l(g) = -17*g - 2. Let x(a) = r*s(a) - l(a). Determine x(w(b)).\nAnswer: -91*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 72 = -11*u. Suppose k + u*s = -2*s - 15, 5*k - 29 = s. Solve 3*a - 9 = 2*t, -3*t - 4*a + 24 + k = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, f: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 47*o - o**2 - o**2 - 5 + 4 in the form j*o**2 + d + z*o and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6 - (15 - 1 - 3444\/63). Solve 5*w + 185 = k*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 + 67 - 118 + 108*s in the form u*s + g and give u.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 76*l + 564. Let s be p(-28). Solve -12*a - s = -8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6598 + -6593. Which is the biggest value? (a) 1\/5 (b) 13 (c) 2 (d) j (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1*5 - (sqrt(171) + 0)**2*-4 - (sqrt(171) + (sqrt(171) - ((sqrt(171) - -4*-2*sqrt(171))**2 + sqrt(171) + sqrt(171))) + -1)) + -4.\nAnswer: -15*sqrt(19) + 9060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 3 + sqrt(1539) + -3 + sqrt(1539) + sqrt(1539) + sqrt(1539)*1*2)**2 + 2.\nAnswer: 55406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*j + 65 = j, -77 = 5*y + 3*j. Suppose 0 = -4*i + x - 11 - 22, 4*i + x = -31. Let c = i - y. Calculate the lowest common multiple of 14 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 246.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 - 11*c + 11 + 8)*(-3 + 2 + 2) to the form h*c + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/60 - i**4\/24 - 3*i**3\/2 + 470*i**2 + i. Determine k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*r - 8, q + 2488 - 2490 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10004709 a multiple of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55\/42 + -9\/14. Which is the third biggest value? (a) 1.1 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 2*m - 5 = 4*s, 5*s = -5*m + 5. Suppose -17 = p - 2*k - 8, p + 3*k - 6 = 0. Does 4 divide p\/s - -4 - -31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000615262865 rounded to seven dps?\nAnswer: -0.0006153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 3675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79\/91 + -44712\/455. Let m = k - -97. Let q = 4.14 - 0.14. Which is the closest to 0.2? (a) -0.1 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 4. Let i be p(3). Let j(t) = -t**2 - 11*t + 12. Suppose -2*q = -3*b - 26, -3*b = -8*b + 5*q - 35. Let a be j(b). Solve a*o + i*o + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 501 - 338*u - 500 + 339*u. Let b(i) = -80*i - 36. Determine -72*a(n) - 2*b(n).\nAnswer: 88*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 160170*p**4 + 4*p + 6336478 wrt p?\nAnswer: 640680*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 155.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 + 1 = 0, -4*g - 3*b = -267. Suppose 5*z = 64 + g. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 155, 628, 1425, 2546, 3991, 5760, 7853?\n\"Answer: 162*s**2 - 13*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 4*u + 7. Let v be a(-5). Suppose z = v*z - 29. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + p - 44 + 114 + 60 + 62.\nAnswer: p + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) - sqrt(672)*-2) + (sqrt(126)*-1)\/sqrt(3))\/((sqrt(600) + (sqrt(600)*-3 - sqrt(600)))*-2))**2.\nAnswer: 28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658 + 658 + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -5*r**4\/24 + r**3\/3 - r**2. Let u = 10 + -6. Let s be u - (-1 + 0 + 4). Let n(p) = -p + 1. Calculate s*t(f) - 4*n(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.08 - 3.7. Let p = -0.28 + g. Which is the closest to p? (a) 1 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let i(f) = f**2 + 4*f + 4. Suppose 2*v - 3*v - 3 = -w, 0 = -v - 2*w. Let t be i(v). Calculate o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -399, -431, -489, -579, -707?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(2\/(-12)). Let i = 1 - c. What is the lowest common multiple of i and (1*18)\/(1 - 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:58 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021055 to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 330052 + -151781. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55 + 6558.\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213006564?\nAnswer: 2, 7, 11, 31, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 11. What is the remainder when -1 + 102 + (-2 - v) is divided by ((-391)\/69)\/((-2)\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 - 215\/2. Calculate the common denominator of -41\/7 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1885*g**2 - 436*g - 32. Let s(z) = -940*z**2 + 219*z + 15. Let w(v) = 2*k(v) + 5*s(v). Find the second derivative of w(t) wrt t.\nAnswer: -1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17898*a - 17893*a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:19 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717 is divided by 561.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*p**3 + 0*p**2 + 2\/3*p - 4\/9 = 0 for p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:47 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 11. Let r(c) = -3*c + 0*c - 3*c - c**2 + t - 15. Let f(v) = -v**2 - v. Let p(m) = 6*f(m) - r(m). Differentiate p(y) wrt y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l**2 + 21*l - 17. Let z(h) = -17*h**2 - 20*h + 20. Determine 6*s(r) + 5*z(r).\nAnswer: 11*r**2 + 26*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 1 + 4*l + 34 + 13 + 12.\nAnswer: 4*l + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 12*r**3 + 8*r**2 - 3*r + 4. What is the units digit of k(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Solve 5*l - g*d + 1 = 2*l, -3*l - 5*d = 29 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4898 <= -4895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 90. Let c(p) = 73*p**3 + 5*p**2 - 8*p - 1. Is c(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -335100, -334580, -334060?\n\"Answer: 520*i - 335620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (33\/(-3))\/((-3)\/12) is divided by 1\/(-1 + (-16)\/(-15)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 858264618*k - 858264618*k + 12*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1551 and -307.5.\nAnswer: 476932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Suppose t = 2*v - 61. Calculate the remainder when v is divided by (-93)\/(-496) - (-2730)\/(-224) - (1 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7038 divided by 8772\nAnswer: 69\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Let l be (2 + 3)*(0 + 1). Solve -l*c + j*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3517 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404883217 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 14*h**2 + 10*h + 111. Calculate z(14).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3*j*r - 2*d**3 - 2*d*r**2 - 6*j*r**2 - 3*r wrt j?\nAnswer: 2*d**3*r - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18093.\nAnswer: 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408898, 408968, 409158, 409528, 410138?\nAnswer: 411048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:26 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m**2 - 2*m - 1. Let b be q(6). Suppose g = -0*g + b. Let u = g + -15. Calculate the remainder when 22 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*y - 63*y - 26. Suppose -4*h = y*h - 438. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) -0.8 (b) -5 (c) -1\/7 (d) 0 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/2542 and 40\/216039.\nAnswer: 17715198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 34. Let l = 13 + k. Let i = -9 + l. Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - t + t + 2 + 2*t + 0 + 0 + (-3 + 1 + 1)*(t - 3*t + 5*t) + 5*t - 6*t + 0*t + 3*t - 4*t - 6*t to m*t + b and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + r - 232 = 0, -5*w + r = -3*w - 158. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*b**2 + b**2 - b**2 - 3*b**2 + (-6*b + 3*b + b)*(3*b - 5*b + 3*b) + 0*b**2 - 2*b**2 + 4*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 2*z**2 + z - 2. Let j = 314 + -304. Suppose -s = 4, t - 10*s + 13*s + j = 0. What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0499 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**2\/2 - 3. Let h(y) = -2 + 2 - 2*y. Calculate h(b(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 7:56 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 - 11*m**2 + 19*m**2 + 41*m**2 + 65*m**2.\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**2 + 8*w - 13. Let q(j) = 3*j**2 - 2*j + 5. Let k(a) = -2*q(a) - z(a). Let o(i) = 6*i**2 - 4*i + 3. What is -5*k(l) + 4*o(l)?\nAnswer: -l**2 + 4*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22237031 and -25909.2?\nAnswer: 22211121.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(3 + 2*-3). Suppose 4*u = o*u. Let t = 2 + -2.5. Which is the smallest value? (a) t (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 639, 1888, 3751, 6222, 9295?\nAnswer: 12964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*c**2*h*p*r - 2*c**2*h*p - 4*c**2*h*r**2 - 3*c**2*p*r**2 - 48*c**2 + 2*c*h*r - h*r + 2*h + 479608*r**2 wrt r?\nAnswer: -8*c**2*h - 6*c**2*p + 959216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**2 - 2. Let w(h) = -9*h**2. Give m(w(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20\/267 (b) -0.5 (c) 0.2 (d) 4 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1231800 and 1572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -86021, -86018, -86015, -86012, -86009?\n\"Answer: 3*p - 86024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 48*f**2 + 365 - 717 + 374 - 3*f. Is x(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 36809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3}. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 2)*((d**3 + d**3 - 3*d**3)*(-1 - 6 + 5) + 2*d**3 + 3*d**3 - 4*d**3).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 30. Suppose -12 = 4*p - 7*p. Suppose z*t = -0*o - o + 10, 2*o - p = 2*t. Solve 2*d + t*l + 7 = -3, 0 = -2*d - 3*l - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 2, w: 6, u: 4}. Give prob of picking 4 u.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.38\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 160119655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -288 - -282. Sort -2\/9, g, -1.2.\nAnswer: g, -1.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 761663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5\/4*z**2 + 520 - 105\/2*z = 0.\nAnswer: 16, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 16) to base 5\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 211867*s + 3. Let o(m) = 4*m. Determine j(o(w)).\nAnswer: 16*w**2 - 847468*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**2\/m*m**(-15))\/((m*m**(9\/2)\/m)\/((m**(-3)\/m)\/m)))**(1\/2))**(-16\/11) assuming m is positive.\nAnswer: m**(188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-6 + ((-244728)\/(-32) - 5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26 and -1.2.\nAnswer: 0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 4}. What is prob of sequence vkk?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21404100 + 3013?\nAnswer: 21412113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210200202 (base 3) to base 8.\nAnswer: -153615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i. Let j(h) = -h. Let o be (-323)\/(-289) + (-4)\/34*1. What is o*s(k) - 6*j(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/9*9 - -41437) + -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.123 + 0.123. Let t = 136 + -136.02. What is the second biggest value in 0.3, h, 0.4, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 21. Which is the third biggest value? (a) -0.02 (b) l (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1730607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**6\/10 + 57*j**5\/25 - 159*j**4\/10 + 14*j**3 + 1617*j**2\/10 + 1029*j\/5 - 132. Factor u(y).\nAnswer: -3*(y - 7)**3*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.4. Let g = 543 - 545. Sort c, g, -4 in increasing order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0*z - 27*z**2 + 0 + 1\/12*z**4 + 0*z**3. Let j(n) = 33*n**2. Calculate k(j(h)).\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94 - 0) + 1 + -2 + (-224 - (111 - 343)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2) + 3*3. Suppose 4*x + 0 + 5 = 5*m, -4 = 2*x - 4*m. Let b = a + x. Solve -3*g + 24 = -4*y, -b*g + 2*g + 35 = -5*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1178 - 406 = 4*c + 5*g, -3*c - 2*g = -579. Suppose -c - 22 = -5*o. What is the remainder when o is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + 0 + 2) + sqrt(7)*2 + 1 + (sqrt(49) - (sqrt(196)\/sqrt(4) - sqrt(49)))\/sqrt(7).\nAnswer: 9 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/((-4644)\/(-24)))\/((-26)\/5967).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*q + 247*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -68. Calculate the lowest common multiple of g and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 436 = 5*l. Let p = 93 - l. Let f(a) = 10*a**2 + 10*a + 22. Let o(y) = 3*y**2 + 3*y + 7. Calculate p*o(i) + 5*f(i).\nAnswer: 2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0855473778 rounded to 5 decimal places?\nAnswer: 0.08555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 69, 128, 187?\n\"Answer: 59*s - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/21 + 96\/7. Suppose 2*r = 8 + i. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*n + 22 = -6, -5*n - 20 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29982016?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 2*b**3 + 2*b**3)*(-4*b - b + 0*b) - 2*b**4 - 3 + 3.\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 0*i**2 + 0*i**2 + (2*i - 2*i + i)*(0*i + 0*i + 2*i) + i**2 + 0*i + 0*i - 7*i**2 + 2*i**2 - 8*i**2)*(-1 - 1 - 2*i + 4*i).\nAnswer: -16*i**3 + 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2.860083.\nAnswer: -8.580249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4 - 3*f**2 + 8 + 0*f**3. Let h be r(4). Suppose -5*s = 2*j + 2*j - 20, 0 = 3*j. Calculate the highest common divisor of s and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 195.67107 months?\nAnswer: 16.3059225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/8 + 2)*(50\/(-5) + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 2*l**2 - 2*l - 2. Let r(p) = p**2 + 3*p + 3. Calculate 3*r(d) + 4*u(d).\nAnswer: -4*d**3 - 5*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 + 0.41. Let g = -0.3 + j. Is 0.1 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (4 + -1)*1. Suppose o*m = -3*m. Suppose m = 3*i + c - 38 - 13, -3*i + 5*c + 33 = 0. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 + 90 + 615*w + 162*w as m*w + x and give m.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3979 + -3981. What is the second smallest value in 3, -0.5, r, 0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 9:08 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 22*b**2 - 24*b + 22. What is c(23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2))\/((d*d**(-2))\/d*d))\/(d**(-1\/4))**(-5\/11) assuming d is positive.\nAnswer: d**(-5\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from xaaaxaaaaaa.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 1. Let k be y(-2). Let n be 2 + (k - (-2 + 2)). Let t = -43 + 130\/3. What is the closest to -2\/5 in n, -2\/11, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3) - 76\/(-3). Suppose -a = 3*a + w. What is the tens digit of 420\/(-5)*a\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4021, 16370, 36943, 65734, 102737, 147946, 201355?\n\"Answer: -j**3 + 4118*j**2 + 2*j - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - 15 + 3*w - 138*w**2 + 137*w**2 as a*w**2 + c + p*w and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 27 (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2\/b)\/b*b**(2\/3)*b**2\/b**(-5))**(6\/29))**(-37) assuming b is positive.\nAnswer: b**(-1702\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 33*o - 2276. Let k be i(34). Sort -3, k, -86, -1, -2 in increasing order.\nAnswer: -86, -3, -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1555 - -235355?\nAnswer: 233500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (0 + (2 - (6 + -1))). Let l be (21\/4)\/(w + 65\/(-40)). Let p = 88\/45 - l. Is -8 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baak when four letters picked without replacement from {v: 1, w: 3, k: 4, t: 2, b: 1, a: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -4*x, 4*x + 2*s + 6 = 9*x. Let d(m) = 8 + 4*m - 2 - 7. Give d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-15))\/((-1)\/(-10)). Suppose 12 = -a*v - 28. Let l = -7 - v. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m\/((m**(1\/6)*m)\/m))\/m))\/(m\/(m**(-5)\/m))*(((m**(2\/13)\/m)\/m)\/m)\/(m*m**(1\/7)*m) assuming m is positive.\nAnswer: m**(-6455\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2 = -2*f + 3*f - 9, 16 = 3*w + 4*f - 9*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11776143?\nAnswer: 3, 19, 41, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 + 1600\/9. What is the closest to l in 0, 0.4, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1298 equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-917)\/(-1519) + 4\/(-7) and -113\/6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64\/5 of a centimeter?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 2*g = w - 9, -13*w - 3*g - 19 = -14*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 910044*j + 524621 wrt j?\nAnswer: 910044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 - 2722788*v**2 - 463347044412*v + 463349767204 = 0.\nAnswer: -340349, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54)\/(-10) - 6\/15. Suppose x*q + 5 = -2*w + 3*w, 4*q + 20 = 4*w. Suppose q*y - 4 = -y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + c = 9237, -p = -5*p + 4*c + 7380. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -789983\/257 - -1305744251\/426620. Let b = -3\/332 + r. Is -14 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (9 + -17) - 1 - (1 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1208)\/40*((-39)\/18 - -3) and -86\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 3552.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 = 4*i. Let u be (4\/18 - 0) + (-646)\/(-171). Suppose -7*n = -u*n - 6. Solve -n*f - 3*f = -j + i, -5*f = 5*j + 40 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1635967266.\nAnswer: 2, 3, 109, 2501479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 + 12*n**2 - 16*n = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144, 220, 300, 384, 472, 564?\n\"Answer: 2*w**2 + 70*w + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 615625 and 1970.\nAnswer: 1231250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 112061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -33*a - 1. What is the remainder when t(-1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -910 divided by -5.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + -83 - (-20 + 33 + -21)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 441 = -i - 409 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 21 = -15. Let k be 5\/15*(-774)\/(-3). Suppose -k*j = -91*j + 60. What is the highest common divisor of j and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 4. Determine y(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 599 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = h - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, x: 5}. What is prob of sequence xx?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640180 is divided by 288?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v - 44. Let u be z(8). Calculate the greatest common factor of u and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q + 62. Give l(-8).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 12:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 8*h**2 + h + 4. Let d(v) = -v**2 - v - 1. Let s(b) = -4*d(b) - u(b). Let t be s(3). Solve t*q - 2 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 - ((2 - 1) + 1) is divided by 432\/2160 - (-418)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g**2 + 3*g - 5. Let r be d(2). Let t be (r\/27)\/((-50)\/(-36)). Factor 3\/5*p**4 - 3\/5*p**5 - t*p**2 - 3\/5*p + 6\/5*p**3 + 3\/5.\nAnswer: -3*(p - 1)**3*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*l - 18 + 1 = 0, 3*m - l = 9. Suppose -3*o + m*d + 16 = 0, 11 = 4*o + 3*d + 2*d. What is the highest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11795 or 3\/8572?\nAnswer: 11795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbbbbwwvhwssvwswss. What is prob of picking 1 s, 1 w, and 1 b?\nAnswer: 125\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, -4\/3, 2\/7, 3, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*y = -684*y + 2100 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 + (5 - 2) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = 3*a + 4, -7 = 2*d + 3*a. Let b be d*(5\/20)\/((-2)\/2252). Suppose 0 = -10*g + b + 687. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 16*w**2 - 198*w - 2398. Determine i(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -502131802*l**3 - 550213184?\nAnswer: -1506395406*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3 + 39848*j**2 + 406241245*j + 183711957306 = 0. Calculate j.\nAnswer: -19687, -474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/14)\/(2\/7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w**2 - 2*w**2 + 2*w**2)*(0 - w + 0)*(4 - 7 + 26) as d*w**2 + x*w**3 + p*w + r and give x.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 8*y**3 + 53*y**3 - 259 + 260 + 0*y**2.\nAnswer: 61*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14493079 and 15597.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(((sqrt(1664) + (sqrt(1664) - sqrt(1664)*3))*-4 - sqrt(1664)) + sqrt(1664)))\/(-1*sqrt(288)\/(sqrt(9) - (sqrt(9) - sqrt(54)\/sqrt(6)))))**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -7661.\nAnswer: 3\/7661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (26 - 8) - -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13)*2 - sqrt(1300).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.56, -2\/7, 0.111, 1\/3, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 0 (c) -3598.3 (d) -1\/9 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631 - 71*l + 98*l - 1218 + 587.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16 and -4.76?\nAnswer: 20.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.821015 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 5*n**2 + 5*n - 4. Let b(d) = -3*d**3 + 8*d**2 - 8*d + 6. Determine -5*b(r) - 8*h(r).\nAnswer: -r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 + 14*y**2 + 7*y**2 + (y**2 + 0*y**2 + y**2)*(9 - 3 - 2 + (-1 + 0 - 2)*(-3 - 3 + 3)) in the form m + x*y + v*y**2 and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -308, -689, -1222, -1907, -2744, -3733?\nAnswer: -4874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, c: 2, i: 5, x: 3}. Give prob of sequence clc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 16. Suppose -5*p - 2*m + 24 = 0, -2*p + 34 - v = -5*m. Suppose 5 - p = -i. Let j(s) = 13*s**2 + 1. Determine j(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2073, -2073, -2081, -2097?\n\"Answer: -4*p**2 + 12*p - 2081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-49) + (-47)\/7. Let o be 1*(0 - 3) - m. Let c(h) = 3 + h + h - o*h + 0*h. Determine c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 46*c**2 - 19*c**2 - 27*c**2 + 21 - 4*c to the form x*c**2 + g + b*c + a*c**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(288) + (sqrt(288) - sqrt(288)*-1)*-3 + -2*1*sqrt(288))**2.\nAnswer: -1176*sqrt(2) + 14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (0 - -1) - (-40 - (57 + -101)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*1984\/(-32). Let c(p) = -y*p**2 + 9*p**2 + 8*p**2 + 13*p**2. Let v(k) = -138*k - 2. Calculate c(v(x)).\nAnswer: -19044*x**2 - 552*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrhrrhrrr?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1461430, -1461548, -1461666, -1461784, -1461902?\n\"Answer: -118*l - 1461312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b**4\/7 + 1707*b**3\/7 - 62154*b**2\/7 + 132168*b\/7 - 29184\/7 = 0. Calculate b.\nAnswer: 1\/4, 2, 64, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d. Suppose d = 5*u - u - 320. Suppose -o + u = 3*o. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(121)*2 + sqrt(121)))\/(-4*(sqrt(44) + sqrt(11))))**2.\nAnswer: 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 15\/6)*(1 - 7). List the prime factors of 327\/(-3)*(-4 + o).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000281204 rounded to seven decimal places?\nAnswer: -0.0002812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Suppose 0 = -8*i + 10*i + 3*s - 13, -5*s + 5 = -5*i. Let f(t) = 456*t**2 - 186*t**2 - 52*t**i - 43*t**2. Give f(y(j)).\nAnswer: 175*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2294 divided by 2294\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -169*i**5\/6 + i**4\/24 + i**3\/6 + i**2 - 2*i + 2072. Let h(x) = -x. Determine h(s(g)).\nAnswer: 1690*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 3*w - w + 1)*(0 - 2*w + 0) - 345*w**2 + 86*w**2 - 28*w**2 to j*w**2 + b*w + y and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:54 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45371361 and 1628.\nAnswer: 45372989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7977, 7974, 7961, 7932, 7881?\nAnswer: 7802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, h: 2, f: 2}. What is prob of picking 1 y and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjhmjgfddhj. Give prob of picking 1 h and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176391?\nAnswer: 3, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 1 - 1 - 4*z + z + z + (-6 + 4 + 1)*(34 - 34 + 10*z))*(1 - 2*z**2 - 1) in the form y + n*z + r*z**3 + a*z**2 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 0*o**2 - 2*o**2 + (0*o + 3*o - o)*(0 - 3*o + 0) + (-o + 3 - 3)*(0*o + o - 3*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 1. Let b(k) = 14*k + 23. Let u(x) = -x + 9 - 1 + 6*x + 0*x. Let l(i) = 6*b(i) - 17*u(i). Give l(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + (-9 - 2) + (7901 - 7911) + -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -311 - -1385. Suppose f + 11 = 3. Is (f\/24)\/((-2)\/l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1 - 17 = 0. Solve 0 = -0*y + y - z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1526*k + 5. Let u(o) = -765*o + 2. Calculate -10*u(v) + 4*y(v).\nAnswer: 1546*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let x(c) = 2*c - 1. Suppose -6 = -4*g + 2*t, 0 = 5*g + 2*t - 3. Let i(l) = -l + 1. Let a(j) = g*i(j) + x(j). Give a(m(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + c14?\nAnswer: c1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, j: 3}. What is prob of picking 1 i and 1 j?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - j = 10, 4*j + 2 = -2*b - 2. Let m = -8 + b. Sort 0, m, 5 in increasing order.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*b*d**3 + b*d - b - 126*d**3 - 2*d**2 - 3335*d + 9 wrt d.\nAnswer: 102*b*d - 756*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -567409*g. Let a(k) = -16*k**2. What is a(j(b))?\nAnswer: -5151247572496*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31560\/(-4512) + (-7)\/(-1). Let k = l + -143\/376. What is the closest to 1\/2 in k, 3, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g. Suppose 0*m = -3*m + 567. Let l(r) = -189 + m + r. Give v(l(j)).\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -37)*5\/15*3. Let b = q - -51. Suppose b = 5*t + n + 1, 0 = -4*t - 3*n. Solve 0 = 4*d, 2*o - t*d - d = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 7240373 - 2875467 = 0. Suppose 32*o + l = 4*o. Round o to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -11896, -584.6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*r + 4168 = 1578 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/96 and -107\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*y + 20 = -0*u, 60 = 5*u - 4*y. Let g = 13 - u. Suppose 0 = -5*d + l + 171, 3*l = -4*d + g*l + 132. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 16, -3*g + 0*r + 2*r = -178. Let c = -53 + g. What is the highest common factor of 63 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.3, 0, -0.05, -0.0765?\nAnswer: -0.0765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let y(x) = 1 + 0 + 11 + 11*x - 2*x**2. Let b be y(6). Let h(a) = -2053 + b*a**2 + 2053. What is k(h(f))?\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/4*(440817\/715 + 2). Let f = -1546 - b. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 102 (b) -0.03 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/5, -2\/7, -4097.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127761 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3*j + 2. Let o be z(-3). Calculate the lowest common multiple of 70\/15 + o\/(-3) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*l + 362 = 130, -n + 61 = -2*l. Calculate the remainder when (n - 2\/1)*1 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -34.7.\nAnswer: 3.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 3906?\nAnswer: 17\/3906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, 1, -0.41, -2\/9, -15\/37, 61.4?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 97*o - 289. Let y be l(-3). Is y > 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - -0.06. Let k = 0.02 - l. Let m = -2188 + 2184. Which is the closest to k? (a) 0.05 (b) m (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -467 times 0.44863\nAnswer: -209.51021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/125 (b) -0.1 (c) -4 (d) -5 (e) 0.9 (f) 75\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59063919?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + y**2)*(-1 + 0 + 0) - 305*y**2 - 31*y**2 - 86*y**2 to the form u*y + c*y**2 + l and give c.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 7. Let m be l(-12). Let u(a) = -a**3 - 2*a**2 + 7*a + 7. Is u(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 4*m**3 - 3*m - 5*m**3 + 2*m**3 in the form y + h*m + v*m**2 + d*m**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 8:00 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*b + 3*j, -2*b + 3898 - 3921 = 5*j for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 + 72084*w + 3897077292 = 0. What is w?\nAnswer: -108126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1 - -1)*152\/(-1292). Which is the smallest value? (a) x (b) -13 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y**3 + 41*y**3 - 632*y**3 + 543*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14057 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(208)*1 - 3*(-1 + sqrt(208) + sqrt(208)))**2)*-5.\nAnswer: -66600 + 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -14037942.\nAnswer: -5\/14037942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -112424?\nAnswer: 112430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24227053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14*q**2. Let a(z) = 12*z. Determine a(b(r)).\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - l - 8 + 7. Let v be o(-1). Let n(h) = 9*h + v + 0 - 4*h. Give n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2441 + -19489\/8. What is the common denominator of a and 78\/24 - (-6)\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 928 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*1)**2 + sqrt(768).\nAnswer: 16*sqrt(3) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/40 - (-54)\/44) + (-6)\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 + 4*c**2 + 3*c**2 + (-5 + 1 + 1)*(3*c**2 + 7*c**2 - 5*c**2)*(1 - 1 - 1).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(567))*5)\/((sqrt(9) + (sqrt(27)\/sqrt(3) - sqrt(9)))*-5).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*o - 2*z, 0*z = 4*o - z - 14. Suppose -4*y + 5*n = -0*y - 60, 44 = 2*y + n. Solve 0*q + 2*q = 5*b - y, -3*q - 21 = -o*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 2*x + 22. Let d(j) = -2*j**2 + j + 11. Let s(t) = -5*d(t) + 3*p(t). Calculate the lowest common multiple of 5 and s(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1756 - 1870.5. Let z = -200 - -85. Let i = l - z. What is the closest to -39 in i, -2\/13, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a, a - 3*a = b - 4. Let v(c) = -4*c**3 - 5*c**2 - 5. Let p(r) = 0*r**3 + 38*r**2 - 3*r**3 - 42*r**2 - 4. Calculate b*v(t) + 5*p(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 + 16*g**3 - 12*g**2 + 10*g**3.\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.115 in 2, -1, -16\/5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by -13.\nAnswer: -178\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 10 = 42*o. Let i be o*(1895\/630 + (-1 - 2)). Is i > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 1, 9\/20, 6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661\/3305*(-15)\/(-16)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 16. Suppose 0 = 5*v - o*v - 25. Let b = v + 22. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274145081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22+3855907.5\nAnswer: 3855885.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13794474.9651 - 13795028. Let g = -1236 - -1789. Let h = g + b. Round h to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1210*u**2. Let r(m) be the third derivative of -m**4\/12 + 1601*m**2. Calculate g(r(l)).\nAnswer: -4840*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864962718 to the power of 1\/2, to the nearest integer?\nAnswer: 43185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171860 and 2080?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*y - 46*y**2 + 94*y - 38*y**6 wrt y?\nAnswer: -4560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*l + 32 = 406*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -4. What is the nearest to o in -5, 1\/8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 710, 2775, 6196, 10973, 17106, 24595, 33440?\n\"Answer: 678*b**2 + 31*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**3 - 2*l**2 + 7*l + 2. Let v(y) = -7*y**3 - 2*y**2 + 7*y + 2. Let h(g) = 4*v(g) - 3*z(g). Let h(o) = 0. What is o?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21896 - (20 + -24 - (2 + 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 5*s + s)*(3 - 1 - 5)*(2 + 0 + 1)*(5 + 0 + 0).\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1957, 7790, 17499, 31084, 48545, 69882?\n\"Answer: 1938*j**2 + 19*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuuuuufuuuuufffuuu. What is prob of picking 1 u and 2 f?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -4.98.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by (-1650)\/(-660)*16\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30353 (base 7) to base 4\nAnswer: 1303130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-7 - -3))\/2. Solve 0 = 5*d - 2*u + 16, q*d - 5*u + 19 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - 14. Let b = a - -35.8. What is b rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-14)\/8 + 1). Let v = 4907 + -4917. Put 4, n, v in descending order.\nAnswer: 4, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 5*g = 14*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*m**2*p**3 + 70*m**2*p - 2*m**2 - 3*p**5 + 2*p**4 wrt p?\nAnswer: 162*m**2*p - 60*p**3 + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmdmmyddmymmmm. Give prob of sequence dyy.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14045?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in 5, 2, -2\/5, 31?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1839 + 1839 - 8*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 202\/8493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104051 at least as big as 104051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 658*o**6 - 30*o**5 - 273824*o**2 wrt o?\nAnswer: 78960*o**3 - 1800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94*q**3*w**3 + 173*q**3*w + 3*q**3 - 466*q**2 with respect to w.\nAnswer: 282*q**3*w**2 + 173*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 9) to base 14\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from fftdflefjffeff.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9994 is divided by 637.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 1, t: 1, m: 1, h: 1}. Give prob of sequence gm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 6*j**2 - 13*j - 92. What is q(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 135.681t?\nAnswer: 135681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/((x**(1\/5)\/x)\/x)*x)\/(x*x**(-1\/2)))\/(x\/(x\/(x\/(x\/(x**0\/x))))*x*x)**(3\/14))\/(x**(-2\/13)\/(x**(-6)\/x))**30 assuming x is positive.\nAnswer: x**(-91591\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/12 - j**3 - 3*j**2\/2 - j. Let h = 9 - 13. Give b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5157 and 252036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by (288\/(-112))\/((-2)\/7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1395 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-63) + 38\/(-133)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 1, a: 1, b: 1, v: 3}. Give prob of picking 1 l and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(5\/2)\/b)\/b)\/b**(-3\/5))\/(b**15\/b*b*b**1) assuming b is positive.\nAnswer: b**(-139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 + 2*u**2 + 2*u + 1. Let f be b(-1). Let i = f + 10. What is the second derivative of 0*o - o - o - 3*o**i wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 3)*(3*l**4 + l**4 - 5*l**4)*(5 - 2 - 1) + l**4 - 5*l**4 + 2*l**4.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 14 = 22. Suppose 3*l + p + 0 + 4 = 0, -2*p + 10 = -3*l. Let u be (1 - l) + -3 + 4. Solve 0 = a*z - j + 2, 4*j + 3 = z - u*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40+-0.136\nAnswer: 39.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 times 5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6437 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: What is ((-3080)\/70)\/1540*((-3 - -5) + 5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 + 14*p - 27. Let c = -117 - -115. Let m be -17 - -23 - (c + 1*-2). Is s(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 230 + -226. Let v(u) be the third derivative of -u**4\/24 + 7*u**3\/6 + 2*u**2. Let q be v(3). Solve k*n - 8 = -q*h, -3*h = n + 1 - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyxxyyyyyy. What is prob of picking 3 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942273167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -50323?\nAnswer: 5032.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23284 - -23273.787. Let r = 12.8 + d. What is r rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20432 is divided by 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = 25*v. Let i be (-1 - (v + -4))*11. Let o = i + -4. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 16*h + 82. Let b be a(-5). Let o be 0*(-3)\/6 - -6. Solve o*n - b*n = 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/141 and -52\/145.\nAnswer: 20445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from qcqecca?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 3356?\nAnswer: 29\/1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 99 - 77. Calculate the remainder when 174 is divided by v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqj when three letters picked without replacement from japqppjpazapppzzjppp?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21*(-27)\/378)\/(3 - 6 - (-10)\/4). Factor 1\/8*g**2 - 1\/8*g**a + 1\/8*g - 1\/8*g**4 + 0.\nAnswer: -g*(g - 1)*(g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -7 (c) -910\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 132. Is x < 2\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -189, -283, -377, -471?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwocmsnmomocwos. Give prob of sequence os.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 25. Let n be l(-13). What is the units digit of 3*(n + 2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z**2\/4 - 2133923*z\/2 + 164148 = 0.\nAnswer: -328296, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.2 - 36.5. What is the biggest value in g, -2\/35, -1?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**(-25)\/((g**(-4\/5)\/g)\/(g\/(g*g**(-3\/4)*g*g*g*g))) assuming g is positive.\nAnswer: g**(913\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, b: 1, t: 10, y: 1, h: 3}. Give prob of sequence yt.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + l = -21*h - 225923, 5*h - 5*l + 282385 = 0. Round h to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.2. Let b = 0.8 + l. What is the closest to b in -1\/3, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.5 - 6.5000206. Round g to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*g = -61, -3*d - g - 65 = -16. Let i be (-1 + 2 - 0) + -6. Let p = i - d. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 27*j + 5. Let h be i(9). Suppose -q - 4*c + 23 - 4 = 0, 3*q - c - h = 0. Solve 2 - q = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {z: 4, i: 2, u: 1, w: 1, p: 4, b: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 457115 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/102 and 190*((-16)\/112 + (-34)\/(-336)).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 10*u - 933. Let t be r(-36). Sort 4, 0, 5, -6, t in descending order.\nAnswer: 5, 4, t, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/495 and 63\/1760?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/9)\/w**(3\/7)*w*w*w*w**6*w*(w**(3\/8)*w)\/w)\/((w**(2\/5))**(-41))**(-22) assuming w is positive.\nAnswer: w**(-883871\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 + 28 = 0. Let w be ((-3210)\/o)\/(1 + 3\/(-9)). Suppose -5*i + 0*i = -w. List the prime factors of i.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*h - 26*h + 0*h + (0*h + h + h)*(-5 + 1 + 3))*(0 - 2*h + 0).\nAnswer: 138*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13286 (b) -7.48 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -11. Let x = s - -2.99904. Round x to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*w**2 - 597 - 1001 + 5*w**2 + 0*w**2 + 2569*w - 2093 wrt w?\nAnswer: -4*w + 2569","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23019358\/23 > 1000843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqxyexye. Give prob of picking 1 x, 1 q, and 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 6*q**2 + 9*q - 23. Let r(z) = 4*z - 51. Let s be r(14). Let d be b(s). Let f(l) = -2*l - 4. Calculate f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, -4, -2.1, 2.2 in increasing order.\nAnswer: -4, -2.1, 2.2, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - g**5 - 3*g + (5*g - 4*g + g)*(-6*g - 10*g**3 + 6*g)*(-3 + 3 - g).\nAnswer: 19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 365*d**4 - 1166. Let h(l) = 1459*l**4 - 4665. Let m(k) = 2*h(k) - 9*y(k). What is the derivative of m(j) wrt j?\nAnswer: -1468*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 8 (b) 0.15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6661 + -6638. Calculate the greatest common divisor of f and 3749.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 8:30 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00117437 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**2 + 8*i + 1. Let n be u(11). Suppose 0*k + 3*k + n = 0. Let l be (-2)\/4*k\/3. What is the greatest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) - 19663\/49. Let q = 1213\/3 + j. Determine b so that 14\/3*b - 4\/3 - 14\/3*b**3 - 2*b**2 + q*b**4 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*r + 2806 - 79. Solve 0 = -r*m + 108*m + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/((-21735)\/216))\/(78\/18 - 3)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 34*l + 1. Is r(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10 + 272*i**2 - 7 - 186*i**2.\nAnswer: 86*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from gacllgggrlllrr?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**3 - v**2 + 2*v + 4. Let u be (-675)\/180 + (-3)\/(-4). Let k(l) = 4*l**3 + l**2 - l - 3. Suppose -2*y + 16 = -6*y. Calculate u*d(s) + y*k(s).\nAnswer: -s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 1. Suppose 11*l - 161 = -205. Sort l, -0.73, g in decreasing order.\nAnswer: -0.73, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 92 - -4*(-1)\/(-2). Suppose 2*g - 5*h = 51, -4*g + 4*h - 10 = -d. Calculate the highest common divisor of g and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*r - 8, -6*d - 4*r = -7*d - 16. Is d\/(-6) - (16655\/(-15) - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1226, 3\/2, 0.3, -1, -1\/2 in ascending order.\nAnswer: -1, -1\/2, -0.1226, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2569330 is divided by 64233.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 202817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1, -2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:58 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = -2*f, -4*f + 4 = -3*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*18\/27*2\/16. Put 2, 1.6, 5, q in ascending order.\nAnswer: q, 1.6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = v + 4*m, v = 3*m + 4. Let n(u) = 1. Let f(l) = -l - 2. What is v*f(s) + 5*n(s)?\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*w**2 + 11 - 4*w**2 + 16 in the form s*w**2 + b + m*w and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*z = 12, -z = -0 - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 988\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -404638*b*l - 461*b*s - 19*b + 7*l*s + 2*l + 11*s wrt s?\nAnswer: -461*b + 7*l + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(288).\nAnswer: -1 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 83548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llz when three letters picked without replacement from {o: 1, z: 1, y: 2, b: 1, l: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-238)\/(-68)*(6\/14 - -1). Solve 2*b - n = -2*b, -n = b + a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, c: 3, i: 2, u: 5}. What is prob of sequence ssc?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*-2*(((sqrt(110) - (-2*sqrt(110) + sqrt(110)))*-2 - sqrt(110) - sqrt(110)) + sqrt(110)))\/((-3*2*sqrt(110))\/((-2*sqrt(66))\/sqrt(6))))**2.\nAnswer: 27545\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1707*p - 26119 = 23384 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + l + 16 = 0, -3*m = -4*l - 7874 + 7872 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = -96. Suppose 18*b - m = 14*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5580, 5758, 5936, 6114, 6292?\nAnswer: 6470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*(13060\/1959)\/((-1)\/((-2)\/28))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k. Let n(m) be the first derivative of m**3\/3 + 3. Determine n(u(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*o**3 + 34*o**3 + 510*o**3 + o - 82*o**3.\nAnswer: 925*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265*m**4 + 0*m**2 + 0*m**2 + 8*m + 288*m**4 wrt m?\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 105*r - 1794. Give s(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162*p - 32*p + 24*p + 62*p**5 - 511*p**5 wrt p?\nAnswer: -8980*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Suppose 0 = -5*h + o*q + 188, -2*q = -1 - 7. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-5))\/(8\/20). Let t = 0 + u. Is 2 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -91. Suppose -4*i - 8 - 50 = -5*t, 4*t = -2*i + j. Solve -z - 3*c = 6, 5*c + t = -2*z + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {b: 1, y: 2, n: 2, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 7*m**2)*(3 + 1 - 2*m**3 - 1 + (0*m - 12*m + 3*m)*(2*m**2 - 6*m**2 - 2*m**2) + 3*m**3 - m**3 + 0*m**3).\nAnswer: -378*m**5 - 21*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 28084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huy when three letters picked without replacement from hcylychllllchlhulyh.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9275 and 84700?\nAnswer: 4489100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 787.15 - 787. Let u be (-1)\/(-3 + (-24)\/(-9)). Sort n, u, -3\/7.\nAnswer: -3\/7, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78541371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*y - 1. Let k be -24 + (y - -3) + 0. Let l be (-2)\/(-3) + k\/(-6). Let d(o) = o - 1. Let r(j) = -j + 1. Determine l*r(z) + 6*d(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (115 + 10)*(-2)\/2. Suppose 238 = -12*k + 13*k. Let f = k + j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166*i*k - 7*i + 40087*k wrt i?\nAnswer: -166*k - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 + 21*g**3 - 4*g**3 - 5*g**3 - 8*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**6\/60 - 7*g**5\/60 - g**4\/6 + 7*g**3\/6 - 17*g**2. Calculate the remainder when k(-5) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*i + 32*i - 15. Differentiate i*s - 106 - 2*s + 126 with respect to s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21 - -8.21. Let k = v + -9. Let m = k + 0. What is the closest to m in 1\/2, -3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24210*a**5 + 37117*a**2.\nAnswer: 1452600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*n = 43*n + 3072. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f - 30*f**4 + 37*f**4 - f wrt f?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51960942 by 4.\nAnswer: -25980471\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11047748251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -44529192798 plus -0.1?\nAnswer: -44529192798.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p - 14 + 14. Let h(n) = 2*n**2 + 6*n + 6. Let g(d) = -d - 1. Let v(y) = 6*g(y) + h(y). Calculate i(v(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3694 + 0.1704. Which is the smallest value? (a) 2 (b) 0.5 (c) v (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 6)*(1 - 3 + 1) + 0 + 0 - 2)*(2*b - 6*b**2 + 0*b + 7*b**2)*(b + 0*b - 3*b) to w*b**2 + o*b + d + c*b**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25746\/12873*(-1)\/244?\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28 - 1.6311427.\nAnswer: -1.9111427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 54*h**3 + 69*h**3 - 7*h**2 + 8*h - 7 - 122*h**3. Give f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108187.046447 + 108187. What is x rounded to four dps?\nAnswer: -0.0464","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46736 and -1313.\nAnswer: 45423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1*9\/(-7). Let y = 95 + -97. What is the biggest value in h, -2\/3, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*f + 2*z, -z = -5*f + 66 + 12. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 130? (a) 1\/2 (b) -2 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/285247 and 11\/60052.\nAnswer: 1140988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20622 - 20620. Solve -y = w - 5*w - 25, -20 = 2*w - r*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*o**2*t**3 + o*t**3 + 4*o*t + 3*o wrt o?\nAnswer: -204*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 10419.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56666 is divided by 14163.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 103 = 11*x. What is the smallest common multiple of 10 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (2 + 25 + -23 - (1 - -6))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-275)\/462 - 12\/(-126))\/(2\/172)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**3 - 7591*t**2 - 7675*t?\nAnswer: -12*t - 15182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**3 + 4*v. Let l(s) = -18*s - 1027. Let t be l(-57). Let d(k) = -k. Calculate t*z(j) - 4*d(j).\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/2 - 83531353*f - 6977486934010609\/2 = 0. What is f?\nAnswer: -83531353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(0 - (3 - 2)). Suppose 5*t = 8*t + 3*o - 630, -m*t = -3*o - 854. Suppose -s - 3*n = -86, -4*n - t - 68 = -4*s. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 286.08 + -286. What is the smallest value in -1\/3, -0.2, -6, r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a61 (base 13) to base 14.\nAnswer: b0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 424411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 0.03452721880393?\nAnswer: -0.06547278119607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5538868ng to micrograms.\nAnswer: 0.0005538868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 259098\/43 or -0.1?\nAnswer: 259098\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 31 = -g - 4*h, -3*h - 12 = 0. Let a = g + 7. Suppose -a*i - 4*u = -6*i - 14, 3*i = u + 4. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -365, -577, -825, -1121, -1477?\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*l = 113*l + 316*l - 14540 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 2*d - 27, 0 = -3*f - 1620*d + 1622*d + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*a - 181*a + 89*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**5 + 13475*u**4 + 10014800*u**3 + 1260812200*u**2 + 43168980400*u - 44439820880 = 0.\nAnswer: -1274, -74, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**3 + 27980*b**2 + 9480725*b + 944579250.\nAnswer: 5*(b + 954)*(2*b + 445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412984\/121023 + -30\/1921. Let l = w - 28\/9. Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, -70, -198, 0 in descending order.\nAnswer: 89, 0, -70, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -18*x**2 + 128*x - 9. Let y be k(7). Let n = 9.3 - 0.3. Let u = -2 + n. Which is the closest to -1\/4? (a) 2 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 5*w + 1. Suppose 3*a + 3 + 1 = -q, 2*a + 4 = 0. Suppose -q*c = 3*t + 3 - 1, -3*c - 2 = 5*t. What is d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7\/9 (b) -2\/7 (c) -2 (d) -1 (e) 2 (f) 4 (g) 5\/591\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 28200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/4 - 150377*z**3\/2 - 22578930181*z**2\/4 + 1289931951099*z - 73581860972169 = 0. Calculate z.\nAnswer: -150491, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*h - 30 = 0, m + 25 = 2*m - 4*h. Suppose -j + 4*j - 155 = 4*b, -3*j = -m*b - 151. Suppose -4*p - 5*d + 99 = -0*d, 5*d = -2*p + j. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*s + 156, 5*a - 4*s - s = -280. Let x = a - -57. Suppose -x*v = -4*v + 62. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-117)\/130*35\/(-133). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28912 + -28910.99996. Let s = -1 + c. What is s rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r. Let z(k) = -26*k + 11*k + 13*k + 394. Give h(z(o)).\nAnswer: 4*o - 788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k = 8*g - 1208, -5*g + 9 + 1 + 1 = 6 for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -0.266.\nAnswer: 0.02394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + r**2 + 2*r**2. Let b(y) = -3*y - 10. Let h(k) = 4*k + 14. Let j(w) = -7*b(w) - 5*h(w). What is p(j(o))?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m)**(-17)*(m**(-2))**(-8) assuming m is positive.\nAnswer: m**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.78*152724.\nAnswer: 1340916.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -77*b - 56. Let c(n) = -4*n - 3. Let u(t) = -56*c(t) + 3*s(t). Let i be u(2). Let a = 26 + i. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1046 and 3325.\nAnswer: -3477950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 1 + sqrt(833) - (2 + sqrt(833) + -3))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 804 - 1285. Let l = -169 - f. Is l\/9 - (-1)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1476*f + 17166 = 571*f + 94063 + 4983 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 7455319*o - 7455320.\nAnswer: (o - 7455320)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/7)\/6)\/(2\/(-98)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*l**2 - 16*l**2 - 2*l**3 - 55 - 18*l**2 - 22*l**2.\nAnswer: -2*l**3 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*b - 279317 + 7616388. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1323, -5266, -11833, -21018, -32815, -47218?\nAnswer: -64221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15*d - 9 + 18*d**2 - 61*d**3 - d + 60*d**3. Let f(n) = 8*n + 9. Let r be f(1). Calculate the smallest common multiple of w(r) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24 = 135. Let f = s + 44. Let y = -0.0819 - -0.0819. Which is the nearest to y? (a) 0.1 (b) f (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11623323 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 225283 times 28?\nAnswer: 6307924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (94 - 94 - 29*s**2)*(0*s + 0*s + 2*s) to the form t*s**2 + c + x*s + g*s**3 and give g.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + q = 12 + 6, -5*q = 2*o - 48. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)\/(g*(g\/g**(-2\/7))\/g*g)*(g**0*g)**(16\/5) assuming g is positive.\nAnswer: g**(-3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k + 15529*k**3 + 1 - 15527*k**3 - 36*k**4 + k**2 + 25*k**4 to the form b*k**3 + g*k**4 + q*k**2 + a*k + d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -1 - (-31 + -1). Suppose -d = 4*d + f. Let n(k) = k**2 + 5*k - 2. Give n(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, k: 3}. Give prob of picking 2 k and 1 u.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005952 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(105\/(-18))*38\/(-228).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((42\/(-4))\/(-7))\/((-7)\/(-14)). Solve -w*o = -4*y + 6, -4*y - 4*o - 10 = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:02 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11010*r**4 + 1392*r**2 - 4195955 with respect to r.\nAnswer: -44040*r**3 + 2784*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42216, 42072, 41928, 41784?\nAnswer: 41640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 6*m + 13. Let q be f(-4). Suppose -3*c - z = 2*z - 2532, -q*c = 4*z - 4223. Let t = c - 588. What is the highest common factor of 37 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -63*p - 2. Let g(i) = -23*i - 12. Let k(h) = -133*h - 69. Let b(a) = -23*g(a) + 4*k(a). Determine c(b(j)).\nAnswer: 189*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -294356\/13 or -22642?\nAnswer: -22642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -m - b + 3, 2*b = 4*m - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43223.\nAnswer: 43223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -25*r + 8. Let -18*q**4 + 202*q**3 - 3*q**5 - 451*q**3 - 18*q**r + 216*q**3 = 0. What is q?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -524 - -1570\/3. Let a = 0.01 + -0.31. Let y = 0.2 + a. What is the third smallest value in -0.5, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:23 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 5*s**2 - s + 3. Let n be x(5). Let j be 3*5\/(-6)*n. Solve -2*d = 2*u + 6, j*u + 0*u + 14 = -4*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 5*a + 255, -4*z - 27095 + 25687 = 27*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -818 - -4088\/5. Which is the closest to -2\/9? (a) i (b) 0.5 (c) 2\/5 (d) -0.062\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and -1.49?\nAnswer: -47.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 656436421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - v = 171. Let a = -56\/3 - v. What is the closest to 0.1 in a, 31, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 9*a**2 - 3*a + 6. What is the remainder when z(8) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -a24813?\nAnswer: a24804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9))**2)**43*(n*n*n**(1\/4)*n)**(1\/7)\/(n**(-5)*n**(-5)\/n) assuming n is positive.\nAnswer: n**(-1927\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1992709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d - 8. Let k be q(2). Let y(s) = s**2 - 8*s - 6. Let b be y(k). Calculate the remainder when 38 is divided by b*-8*(-3)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u - 60*u = 3*q - 30, q = 3*u + 5 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.641, -4, 11, 1\/2, -6, -2\/9.\nAnswer: -12.641, -6, -4, -2\/9, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2465 (base 7) to base 9.\nAnswer: -1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 720 and 5724.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m - 2. Let s be 2 + 6 - 8\/2. Suppose 0 = -s*q + f, 2*f = 3*q - 2*q. Give v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 180 + -198. Let o(s) = 2*s**3 + 36*s**2 - s - 7. Let u be o(w). What is the greatest common factor of 143 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141049 is divided by 325?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:10 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**2 + 3*u - 7. Let a be o(2). Let k = 137 + a. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/36)\/(2\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 215?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6375740.\nAnswer: 2, 5, 7, 45541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 691 divided by -63.\nAnswer: -691\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 28. Suppose -k*x + 4 = -5*x. Solve x - 5 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 17 - 3. Suppose 14 = -3*q + c. Is 12 a factor of q - (-18)\/8 - (-609)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7047 = -1290*c + 597 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Suppose 5*d + 11 = 3*y, -13 = -4*y + 4*d + d. Let x(n) = y + 1 - 3 - 46*n**2. Determine x(i(b)).\nAnswer: -184*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*8*3*2. Suppose 2*x - s = 106. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1\/b)\/b*b)**(8\/7))**(-2\/23) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/231 and 85\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + (-184)\/(-20))\/(12\/(-15)). Are m and -93 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2187*w**5\/5 + 560754819*w**4\/5 + 37383930*w**3 - 290762436*w**2\/5 + 76921224*w\/5 - 6153696\/5 = 0 for w.\nAnswer: -1, 2\/9, 256404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.3627 - 5.6383. Let c = -24.1 - g. Let f = c + 0.09818. Round f to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.144 + -0.044. Let f be (4 - (4 - -3))*7. Let k be (0 - f\/(-12)) + 12\/16. Which is the nearest to w? (a) -9 (b) -1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -9. Let f be t - (-1 + -1)*1. What is the third derivative of 0*i**3 - 7*i**6 + 7*i**2 + 2*i**3 - 2*i**f wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -574.8.\nAnswer: -574.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228849 is divided by 6178?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -38881000 rounded to the nearest one hundred thousand?\nAnswer: -38900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {i: 3, t: 2, s: 4, y: 1}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s + 11*s + 0*s. Let f(y) = -4*y**2 + 5*y - 5. Let b(v) = -v**2 + v - 1. Let u(p) = -5*b(p) + f(p). Calculate u(n(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -26532*r**2 - 159251*r. Give w(-6).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83487014 by -23101.\nAnswer: 3614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 139788?\nAnswer: 6849612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2056105 is divided by 514021.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 - 1. Let d be l(-2). Do d and 11 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(1\/2))\/s**(-5))\/(s**1\/((s*s**(-2\/9))\/s)))\/((s**0)**(2\/7)*s**(-4)\/s**(-5)) assuming s is positive.\nAnswer: s**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29387.9 millilitres in litres?\nAnswer: 29.3879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22115 divided by -4423?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -25*h**3 - 9*h - 9. Let a(f) = -6*f**3 - 24*f**2 + 10*f + 10. Let i(x) = 2*x**2 - x - 1. Let q(s) = a(s) + 12*i(s). What is 2*m(t) - 9*q(t)?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 30048 * -27\nAnswer: -811296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-7 + -5 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 4*s + 6, 0 = -2*s + 2. Let t = -7 + 27. Suppose 4*o - 3*h = h - t, -4*o + 5*h = 20. Sort w, o, 1 in decreasing order.\nAnswer: 1, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1342*y + 224*y + 222*y + 220*y + 225*y + 220*y + 229*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 859 - -3?\nAnswer: 85c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548106*u**2 + 1644371*u**2 - 548107*u**2 - 548159*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + -0.09. Let h = 9.9 - -42.1. Let z = h - 57. Sort i, -0.4, z in ascending order.\nAnswer: z, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, 1 f, and 1 r when four letters picked without replacement from {f: 2, v: 1, n: 1, h: 5, r: 8}.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 30990532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105249?\nAnswer: 3, 35083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in -24, 1\/3, 2, 1\/34, -167?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2723 = 12559. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4347682767.\nAnswer: 3, 191, 2529193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-435)\/174*136\/(-10).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((8\/22)\/(((-8)\/((-176)\/(-2)))\/(-1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.089 - -2.911. Let z be (-88)\/240 + 5\/(-150)*4. What is the second biggest value in c, z, -10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*i + 15*i. Let d be 0 + i + 57 - (10 - 6). What is the highest common divisor of 486 and d?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5499213809 and 0.3?\nAnswer: 5499213809.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/2 - (-2)\/(-4). Let s = y + 1. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = b + 1, 0 = 4*c + 4*b - 20. Suppose 280 = 4*n - 0*n - 4*p, -4*n - p + 305 = c. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210210210022101 (base 3) to base 8\nAnswer: -54153023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18 = -3*l, l + 2*l + 9 = 5*m. Let q(t) be the third derivative of -1\/24*t**4 - 2*t**2 + 0*t + 0 + 1\/30*t**5 - 1\/3*t**3. Calculate q(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241088171 to the power of 1\/2, to the nearest integer?\nAnswer: 15527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (0 - 6) - -3) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8863 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2387 and 651?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.04323.\nAnswer: 0.34584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14275306 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = z - 3*m, -4*m - m = -5*z + 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(x + 8*x + 11*x).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1417 and 0.11.\nAnswer: 0.015587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2) + 4\/(-16))*-4. Calculate the greatest common factor of 12 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.73018 * 8.\nAnswer: -117.84144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 0. Let a be 6 - j - -11 - 2. Solve -2*n + 0*n = 2*k - a, -n + 2*k + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -487*w**6\/8 - 4927*w**5\/60 - 6303*w**2. What is the third derivative of q(m) wrt m?\nAnswer: -43830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78656 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*o + 105*o + 176. Solve -22*p = -o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -405 + 477. What is the greatest common factor of 792 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1784129794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 15*g - 245. Calculate o(-20).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 18*x = -24. Suppose x*t - 4 = -16. Put -1, -3, t in decreasing order.\nAnswer: -1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 45200500.\nAnswer: 7\/45200500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20a7 - 5?\nAnswer: -20b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 459*h**2 - h - 9. Let g be r(4). Let a = g + -44125\/6. Find the common denominator of a and 41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one fifths of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 49 - 51 = 0. Suppose 0 = -4*v - v - o. Let m(r) = -r**3 - 4*r**2 + 4*r - 2. Determine m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 493*o - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-554)\/14 - 51\/(-119). Let p = -2 + s. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10788 and 1741200?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-3\/8))*n**(-5\/6) assuming n is positive.\nAnswer: n**(-29\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163791, 655409, 1474773, 2621883, 4096739, 5899341?\nAnswer: 8029689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114014060 to the nearest integer?\nAnswer: 10678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0329302 rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 8*a + 1. Let z = 9 + -5. Let v be s(z). Solve -3*i = -2 - v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3912185.\nAnswer: 3\/3912185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3992617 rounded to three decimal places?\nAnswer: 0.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1484 or 69810\/47?\nAnswer: 1484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 7\/12*l**4 + 204*l + l**2 - 5\/6*l**3 + 1\/10*l**5. Let j(c) = 3*c**3 - 11*c**2 - 8*c + 3. Give -5*j(k) + 8*z(k).\nAnswer: k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 40*t + 626. What is the remainder when 1303 is divided by v(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/28*8\/28.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4721\/10, 0.3 in descending order.\nAnswer: 4721\/10, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 55548153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 2*j + 508, 4*b - 2*j = 408. What is the least common multiple of b and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -24. Let o be (-1)\/(-3) - 7\/3. Let x = o - -8. What is the least common multiple of k and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 2*h**2 - 2*h - 2. Suppose 0 = -t + 3*t - 4*n + 34, -2*t - 9 = n. Let d(v) = -2*v**3 + 7*v**2 - 7*v - 7. Calculate t*u(c) + 2*d(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 16*h - 48. Let q be o(-20). Suppose q*z + 19876 = 36*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 11:37 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 2. Let o be 3\/(-9) - h\/(-3). Suppose 0 = -2*g + 9 - o. What is the smallest common multiple of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1903055734 to the nearest integer?\nAnswer: 43624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 51 = 0. Suppose 4*s - 5*u = 30, -3*s + 5*u + 8 = -o. Suppose -d = -s - 3. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -8. Suppose -2*u + a = -0*q - 2*q, 6 = 2*u. Find j, given that 0*j + 0*j**3 + 1\/2 - j**q + 1\/2*j**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:09 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 93*z + 8. Let d(t) = -77*t - 9. Let a(r) = 5*c(r) + 6*d(r). Calculate a(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65196129400 - -22?\nAnswer: -65196129378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1621 - -1577) + (-5418)\/(-123).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/611 and -29\/5.\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(24)*6)\/(sqrt(24)\/sqrt(2)*-3))**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 370*p + 5837. Calculate l(-16).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h + 142. Let c be l(7). Suppose 0 = 4*i - y + 2, 3*y = -c*i + y + 4. Solve 4*q - a + 11 = i, 5*q + a + 21 = 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**9\/168 - 7*n**6\/120 + 29*n**5\/60 - 7*n**2 + 3. Find the third derivative of c(t) wrt t.\nAnswer: -360*t**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - 11973453655954?\nAnswer: -11973453655954.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18287 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 22. Let a = p - 5. Suppose -4*t - j = a*j - 205, 2*j = -2*t + 102. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8969.42 nanometers to kilometers.\nAnswer: 0.00000000896942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 3*z - z + (0 + 3 - 2)*(z + z - 3*z) - z + 2*z + 0*z - z - 1 + 1 - z + 4*z - z - 43*z + 16*z + 12*z + 14*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - s + 4*s + (0 + 1 + 0)*(-s + 9*s + s) to the form h + k*s and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 464 = -0*u. Let o = u - -8798. Round o to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012993 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(3300)*-1 - (sqrt(297) + 1*sqrt(297) + sqrt(297))\/sqrt(9))\/(sqrt(9)\/(sqrt(3) - -2*sqrt(243))))**2.\nAnswer: 2013297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3856.1 + 3862. Which is smaller: 0.01 or j?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 557 (c) 4.3 (d) -0.4 (e) -3\/4 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17456421 divided by 918759.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4324.8 + -4325. Sort m, 1\/2, 15.\nAnswer: m, 1\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -35. Let q = -3236 - -3257. Let w = c - q. Put 4, 0, w in decreasing order.\nAnswer: 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/9)\/(2\/3). Suppose 0 = p*t - 16, -2*a + t - 12 = -3*t. Differentiate -a + 5 - 3 + 2 + 3*q wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-48)\/10 - 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*i - 7*i + 8 = 0, -2*s - 2*i + 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -296\/145 + 7\/29. Let r = 2.94 + 0.06. Let y = -0.5 - -0.8. Put y, x, r in decreasing order.\nAnswer: r, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-16))\/(-4 - (-45)\/10). Which is the smallest value? (a) g (b) 1 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/10 - s**4\/12 - 10*s**3\/3 - 4*s**2 - 35*s. What are the prime factors of a(-6)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -521, -433, -285, -77, 191, 519, 907?\n\"Answer: 30*u**2 - 2*u - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j + 21. Let c = j - -11. Is ((-22)\/c)\/(4\/(-8)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**2 - 3 + 1 - 7*p**2 to the form x*p**2 + l*p + b and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**3 - 54*u**2 - 42*u - 12. Determine d(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (1 - 5)) + 15. Let d = 23 - z. Factor -25*b**3 - 42 + 30*b**2 + 2 + 20*b + 0 + 5*b**d.\nAnswer: 5*(b - 2)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 20704*a**2 + 41445*a + 3. Calculate d(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) -2 (c) -2.9696632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.9 (b) 58 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 41. Determine f(-29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7652 - -1.6652. Let h(o) = 8*o**3 + o**2 + o. Let u be h(-1). Sort -1, -4, c, u.\nAnswer: u, -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/3 - (-2 + 1). Let b(z) = -z**3 - g + 1 + 2*z. Determine b(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250729.5 nanoseconds to minutes.\nAnswer: 0.000004178825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -u + 58512, 3*u - 175466 = j - 6*j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 423073650 from 3.\nAnswer: -423073647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most as big as 529411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 9 = -c, -2*g - 7 = c - 4. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (2 + 1)) - (7 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 3 = 2*v + r, -5*v = -4*r - 65. Solve -3*k = v, 2*k - 8 = -2*i + 6*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.04. Let h = -90.959875 + 91. Let x = h - n. Round x to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23813*h + 23805*h = -10976. Calculate the greatest common factor of 56 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*g - 261*g**3 + 187*g + 479*g + 181*g.\nAnswer: -261*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*w - 5*u - 13, -w + 11 = -2*u. What is the remainder when 13 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - (-2 - -2)*-1. Let a(v) = 4*v + 1 - 3*v + 4 - 2. Let y be a(h). What is the nearest to 1 in y, 2\/7, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(14\/(-4))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1021001220111?\nAnswer: 1021001220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:55 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(((-45)\/(-18))\/5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 17. Let a = g + -5. Is 35 - (1 - a\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/15 and 82\/117?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -50022 (base 6) in base 8?\nAnswer: -14536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -378959 > -378958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 7) in base 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 49*z - 224 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13261542405318 - 13261566705991.000042. Let b = o + 24300647. Let g = -26 - b. Round g to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 11*o - 5. Let z be f(-7). Let b = z - 15. What is the derivative of -2 - b*l**4 + 22*l**2 - 9*l**2 - 13*l**2 wrt l?\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 6 - 21 = 4*b, -b = -5*p - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34006 is divided by 2644?\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 1 = 13. Suppose 0*m + m = v. What is the derivative of 6*l + 0 + 1 + m*l - 2*l wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = 0, -3*f = -5*b - 188 - 278. What is the common denominator of -43\/4 and 3\/(5*(-2)\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1497 or 5\/18724?\nAnswer: 5\/18724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 32752023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/10 + 256\/40?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/4 (c) 5\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g - 935 = -1040 - 2212 - 1559 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1685\/(-20) - (-2)\/8. Let r be (-48)\/v*6\/(-4). Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2. Let l(w) be the second derivative of -w**4\/6 - w**3\/6 - 149*w. Calculate l(a(h)).\nAnswer: -98*h**4 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32431813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0432 - 0.0432. Put f, 7, 0.07 in increasing order.\nAnswer: f, 0.07, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 5*i**2 + i - 10. Let m(c) = -c**3 + c**2 - c. Let o(s) = d(s) + 2*m(s). Suppose -5*a - 49 = 2*a. Calculate o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -180*r**3 - 2*r**2 - 2*r - 1. Suppose -4 = -6*x + 10*x. What is the tens digit of q(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-728) - 3\/13.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 194d?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/((-27)\/(-936)). Let s = k - 37. Let u = s - 13. Solve -l - 1 - u = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*y + 276*y + 187*y.\nAnswer: 510*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*g**4 - 341*g**3 - 4505.\nAnswer: 24*g**3 - 1023*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98\/2 + -2 - 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -2) + -6 + (12 - 3) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1268626, 2537268, 3805910?\nAnswer: 5074552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*b**4 - 17*b**5 - 98*b**4 + (0*b**2 + 0*b**2 + 2*b**3)*(8*b**2 - 10*b**2 + 8*b**2).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/13, -100, -10\/3 in increasing order.\nAnswer: -100, -10\/3, -2\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -16*u**2 + 19*u. Let g(c) = -27*c. What is g(i(d))?\nAnswer: 432*d**2 - 513*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -188a (base 11) in base 14?\nAnswer: -c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2440\/3, 4.\nAnswer: -2\/5, 4, 2440\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h**2 - 478*h - 197. Is n(58) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2\/3 - 2014*m\/3 + 1203.\nAnswer: (m - 401)*(5*m - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o - 15. Let s = 6 - o. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*x - 5*q - 28 = 479*x, 2*q = -x - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147 + 170. Suppose 2*f - 2*x = 300, -4*x + l = -f + 173. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7776558 is divided by 442.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -213466 times 3?\nAnswer: -640398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5130 - -16?\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsdeeddede. Give prob of sequence sd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:18 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15327052985973 and -0.8.\nAnswer: 15327052985972.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 340?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(2\/45)))\/h*h**(1\/24) assuming h is positive.\nAnswer: h**(-329\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636757 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**8\/48 + 103*m**7\/105 + 1951*m**5\/60 - m**4\/12 + 1451*m**2. What is the third derivative of k(y) wrt y?\nAnswer: 420*y**2 + 4944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -4522?\nAnswer: 4520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 2*l**2 + l - 2. Let y be o(1). What is the third derivative of -2*j**y + 3*j**4 + 4*j**2 - 2*j**4 + 2*j**4 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 9*q**3 - 7 + (2 + 1 - 4)*(0*q**3 + 3*q**3 - q**3).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 5*w + 7*w)*(1 - 2 + 0) - 6*w + 2*w + 3*w - 2*w + 5*w - 2*w + (-3 + 3 + 2)*(-5*w + 0*w + 4*w) + 0*w - 4*w + 3*w + 1 - 1 - 3*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o. Let m(k) be the first derivative of 10*k**3\/3 - 49. Give m(h(n)).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70.5 + -71. Which is the nearest to -0.1? (a) g (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 531 - 480. Calculate the remainder when 90 is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 623678675 and 10?\nAnswer: 1247357350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23371*x**2 - 40101*x**2 - 1617*x**2.\nAnswer: -65089*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1261 + -666?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {u: 2, o: 1, v: 1, a: 3, z: 5, q: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56224 by 7028.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10465 + 1?\nAnswer: -10464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -7*d + 0*d**3 + 0 + 9\/4*d**4 + 0*d**2. Let c(r) = -2*r. Give c(a(p)).\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 2*sqrt(80))\/sqrt(10))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 102421461*f**2. Let t(l) = 3*l. Give t(n(c)).\nAnswer: 307264383*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -62 * -2.854\nAnswer: 176.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 21. Let g(s) be the second derivative of s**5\/20 - 7*s**4\/12 + s**3\/3 - 2*s. Is g(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 25 = 50. Suppose -d - 4*d = -c. Let x(p) = -5*p - 1 + 3 + d - p**2. Give x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2*v + 0*v - 4*v + (-4*v + 0*v + 2*v)*(-2 - 2 + 2)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -36. Let j(o) = -o**2 - 3*o - 1. Let l be j(r). Let a = -3 + l. Which is greater: -3\/2 or a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 285820 and 314402.\nAnswer: 3144020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 7991549813*n + 7991550044*n - 5.\nAnswer: 231*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*x**2 + 997*x**2 - 444*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 207? (a) -1 (b) -0.5 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 2*p**2 + 3*p - 2. Let l = 0 - -8. Let g(k) = k**3 - 9*k**2 + 9*k - 12. Let i be g(l). Let u = 7 + i. Calculate z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -368 + 368 - 39*x as q*x + j and give q.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.685 less than 1.201?\nAnswer: 1.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 100000000?\nAnswer: -11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*u**3*y - 1969*u**3 + 154*u**2 + 5*u*y - 24*u - 94*y + 2 wrt u.\nAnswer: -66*u*y - 11814*u + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + z - 2*z + 12, -s = z - 4. Suppose h = 2*r - 8, 4*h - s*h + 1 = r. Suppose -r*g = -k - 154, 0*g - 2*k = 4*g - 112. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1120 and 32.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(-6 + 6 - 3*v)*(4*v + 3*v + 4*v) to w + h*v**2 + g*v and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -318230041?\nAnswer: 127292016.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 6211 - 3108 - 3096 - 5*j. Give g(7).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/17)\/((792\/561)\/24)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.155, 711, 0.5 in ascending order.\nAnswer: -0.155, 0.5, 711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(4455))\/((sqrt(11) - sqrt(704))*3).\nAnswer: -18*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**2\/2 - 2*r + 1. Let m be y(5). Let n be (-6)\/4*(-4)\/m. Calculate the highest common divisor of n and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2048 by -256.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8390142\/71 or 118171?\nAnswer: 118171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77990575 * -0.3.\nAnswer: 23397172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + z - 5*x - 20 = 0, 4*z + 2*x + 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 13 + (-9 - 1) - 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*c**2 - 21822*c - 11990.\nAnswer: -2*(c + 545)*(20*c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.252 - -0.048. Let d(v) = v - 5. Let y be d(7). Suppose -a = -y*a. What is the closest to 0.1 in n, -3\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 46\/28*-2. Let q = -6 - -5.8. Let v = -3.2 - q. Which is the biggest value? (a) -1\/2 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.064781 rounded to 1 dp?\nAnswer: 497.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2. Suppose 0 + 3 = -3*m, -2*m - 8 = -3*q. Let w(d) be the first derivative of -23 + 2130*d - 3*d**q - 2130*d. Give w(a(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (5 + -10 - -3)) + (-36 - (-12 + 2))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (25 - 11) + -5 + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -r. Suppose -2*t = r*t - 15. Let h(l) = -l + 6. Let c be h(-6). Solve -3*v + c = t*p, -2*v = -3*v + 3*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114729873 - 0.57\nAnswer: 114729872.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/45)\/(27\/135)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**4 - 308*f**2 + 30*f + 257727 wrt f.\nAnswer: 12*f**3 - 616*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4915*g**5 + 451*g**3 - 10677*g**2 + 2*g + 33?\nAnswer: 294900*g**2 + 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmwwrwmmrwmmwm. What is prob of sequence rwrw?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8876, -17736, -26574, -35390, -44184, -52956, -61706?\nAnswer: -70434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 16*x - 56. Suppose -j + 1 = 2*q - 11, -8 = -4*j. Let o = -3 + q. Which is the third smallest value? (a) x (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -39, -63, -87?\n\"Answer: -24*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24716750 divided by -98867.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4358.2417 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(3*c - 2*c + 4*c) + 9200 + 27*c**2 + 13*c**2 - 9202 + 6*c.\nAnswer: 35*c**2 + 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/(16 + (-2868)\/180). Solve p = 4*b + 5*p + 4, s*p + 7 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362 - -1094. Calculate the lowest common multiple of a and 1.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129612*i**5 - 1478449*i**2?\nAnswer: -7776720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)*-4 - (sqrt(132)*-2 - sqrt(132))*3)\/(sqrt(1200) + ((sqrt(1200)*-2 - sqrt(1200))*-1 - sqrt(1200))).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Suppose -f*l - 3*p - 19 = -1, -2*l = p + 18. Suppose -4*z - 27 = -3*a, -3*z + 1728 = -a + 1742. Put l, a, -2 in ascending order.\nAnswer: l, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1054 (base 6) to base 8\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 0 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + -27.11. Let h = o + 29. Let n = h - 3. Which is the third biggest value? (a) n (b) -3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 3*j - 16 - 2, -4*g + j - 272 = -300 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70324 by 4.\nAnswer: 17581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (20\/(-14))\/(-2). Let a = 0 + -0.5. Put s, -4, a in decreasing order.\nAnswer: s, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/8, -0.1, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 o when four letters picked without replacement from dadooaoyadaa?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 4*f**3\/3 + 3*f**2 - 8. Find the second derivative of h(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5970 - 113403\/19. Calculate the common denominator of 16\/5 and y.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1023100 + -654100. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 4*h**2 - 21*h + 25. Determine k(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b + 2. Determine o(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 31 = 4*t + 5, -3*b + 2*t + 92 = 0. Suppose b*d - 214 = -64. Are d and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i - 34*i**2 - 25*i - 21*i - 1.\nAnswer: -34*i**2 - 23*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*10 - (2 - (2 + -3)). Let p be (-2 + -7)\/(-6 + 7). Let s be p\/(-12)*(-8)\/(-18). Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 38*q**3 - 6*q**2 + 6*q. Let p be h(5). Let r = p - 120479\/26. Find the common denominator of -85\/22 and r.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsssrsssssrsrdssss. What is prob of picking 2 d and 2 r?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3659*u + 76843. Calculate g(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w - 144*w**2 - 14\/3*w**4 + 136\/3*w**3 - 1\/5*w**5 + 0. Factor c(q).\nAnswer: -4*(q - 2)**2*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -9*h**3\/2 - 3*h. Let l(f) = f. Determine j(l(o)).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000053895 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**2 - 5*f. Let t(g) = -3*g**2 - 2*g. Let u = -35 + 37. What is u*c(q) - 5*t(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 866503 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-1800)*-5*-2*15\/(-1).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 10\/(-4))*(-1 - -1). Solve d*o = 2*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-8))\/d)**(4\/33))**(-1\/56) assuming d is positive.\nAnswer: d**(-4\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 15 = 355. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2 (c) 31 (d) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**4\/4 - h**3\/3 + 3*h**2\/2 - 3*h + 347. Determine r(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 121697 divided by -5\nAnswer: -121697\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*c - 4*c + 16*c + 21*c)*(57*c**3 - 70*c**3 + 62*c**3).\nAnswer: 2450*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1656\/276)\/(3\/2). Solve 0 = -5*m - 4*i - 5 - 4, -a*m - 3 = -i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 11 - 61. Suppose u = -0*u + q. Suppose c - u = -0*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 138*w - 43 + 4*w**3 - 135*w - 27 to i*w**2 + a*w**3 + x + h*w and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6075 > 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 49*s**3 - 384*s**2 - 31536*s - 31104.\nAnswer: (s - 24)*(s + 1)*(s + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + -7) - -1 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3 - 11. Suppose 4*o = -4*i + 4 - n, -2*i - 4*o = 4. Suppose -3*k + 388 + 11 = i. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 - 2 = -y, 0 = -5*h + 10. Let b be y\/4 - (-6)\/(-24). Sort b, -3, -5 in increasing order.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 4 - (-13 + (6 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 1*sqrt(2) + -4)*-1.\nAnswer: -sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/14 and ((-6)\/45)\/(8\/522).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*n = -393*n - 54 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/486 and 92\/1886895.\nAnswer: 3773790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 10, -9, -64, -167, -330?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:39 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - (3 - 1 - 3). Calculate the highest common factor of 55 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 - 1. Let f be x(-1). Suppose -p - j - 25 = 3*p, -11 = f*p - j. What is the remainder when 2 is divided by p\/(0 - -3) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssr when three letters picked without replacement from rshhshrhhshshhsqqs.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 95700402*v**2. Let w(c) = 2*c**2. Give w(h(f)).\nAnswer: 18317133885923208*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-20 + -5 + 45)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a gram in milligrams?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*14\/(-21)*(-1)\/(-58)*-3\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5979.4965 nanoseconds to hours.\nAnswer: 0.00000000166097125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 624*k + 1106 + 18862 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8590458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**2 + 42 + 3*f**2 - 2*f**4 + 4*f**2 + f**2 wrt f?\nAnswer: -8*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1711371 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4944 + -4940. Solve 9 = -i - u*f + 23, i + 22 = 5*f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**2. Suppose 187 + 213 = 16*n. Let r(c) = 23*c + n*c + 23*c - 65*c. What is r(i(l))?\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72.93 and 35.77?\nAnswer: 2608.7061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167\/332 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 + 130 = 13*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:29 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3 + 2 + 2*r - 5. Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.044 - -5.334. Let z = -0.29 + p. Suppose -2*f = 2*q - f - 2, -2*q + 4*f + 2 = 0. Which is the second smallest value? (a) q (b) 3\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-39)*(-20)\/(-5))\/((-64)\/64).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - u = -6*u + 1853985, -2*u = 3*h + 1390506. Let z = 286500 - h. What is z rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**8)**(-32)*(p\/p**(-2\/3)*p)**(1\/8))**42 assuming p is positive.\nAnswer: p**(-12082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105307258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/3492 and -79\/3920352.\nAnswer: 11761056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -146 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 9 = -5*h, 3*h - 6*k + k = 24. Suppose 2*r - 9 - h = 0. Suppose -7*z + r*z + 26 = 0. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 1329*n**2 + 4008*n - 2676.\nAnswer: -3*(n - 2)*(n - 1)*(n + 446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*r + 992, 0 = -3*r + b - 3*b + 743. List the prime factors of r.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(8\/5)*g**6)\/(g**1)**(1\/25)*g**(2\/5)*g\/(g*g**(-8)\/g)*(g**(-2\/7))**26 assuming g is positive.\nAnswer: g**(1668\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1880, 1737, 1486, 1115, 612, -35, -838, -1809?\n\"Answer: -2*q**3 - 42*q**2 - 3*q + 1927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-11 - (-12 + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -61*s**3 + 2*s**2 + 2*s. Suppose -4*f + 8 = -8*f. Let b be n(f). Suppose -2*z - z - 2*a + b = 0, 0 = -z + 5*a + 181. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxoxxxxoxxxxxoxxox.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a factor of 240809569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7324.\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-1040)*-15)\/((45\/(-40))\/3).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 5. Let m be k(-11). Let s = 17 - m. What is the least common multiple of -2*-1*(8 - 3) and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-8 + 8) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/23)\/k*k*k*k*(k*k**(-20)*k*k)\/k*k)\/(k**(-1\/3)\/(k*k\/(k**(-1\/43)\/k)*k)))**(-5\/6) assuming k is positive.\nAnswer: k**(159185\/17802)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and -60.99342.\nAnswer: -60.09342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*p = -225, 121*x + 2*p + 200 = 124*x. Calculate the remainder when 488 is divided by x.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134244 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 28*t. Find y such that 0*y**2 + 0*y - 2\/5*y**3 + t - 1\/5*y**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*c + 58 = 0, 68 + 43 = 3*o - 3*c. Suppose -3*k + v = -k - 15, 2*v - o = -5*k. Suppose a - 10 = k. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/4 - 4*w**3\/3 - 26*w. What is the second derivative of o(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.83 in 0.3, -22, 0.2, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 1746\/7*v + 500\/7.\nAnswer: -2*(v - 125)*(7*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39 - -1) + (0 - 2). Let i(c) = 73*c - 13574. Let x be i(186). What is the greatest common factor of t and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = 0. Suppose -4*v - 12 = t, -3*d = -0*d + 2*v + 9. Let k be -56 + d\/(3\/6). Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*80\/92880*-18.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655044?\nAnswer: 2, 89, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*m**6 - m**5 - 4989*m**4 - 2642743*m**2?\nAnswer: 3600*m**3 - 60*m**2 - 119736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 22*r + 70. What is the smallest common multiple of 420 and -2*(2 + (r - -2) + -8)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*n**3 + 77*n**3 + 20 - 190*n**3 - 20.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2157\/(-90) + 2\/4. Let h = m - -71\/3. Are 2\/7 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11638589266978 and -15.\nAnswer: 11638589266963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 15 = -12*c. Solve -z - c*f - 3 = -f, -2*z - 3*f = 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1741*b**2 - 3*b + 300.\nAnswer: -3482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Suppose -1 = -2*i - g*q - q, -5*q - 15 = 0. Suppose -3*n = -5*a - 5*n + 19, -4*a + 20 = 4*n. What is the smallest common multiple of a and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:26 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 2 - 72*z**3 - z.\nAnswer: -72*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 67. Let p(c) = -6*c**3 + 2*c**2 + 2*c. Let z(h) = 96*h**3 - 33*h**2 - 33*h. Determine f*z(r) - 33*p(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 541073954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 7 = 3*o. Let r be (-58)\/(-16)*18\/(-252). Let t = r - -11\/16. Which is the nearest to o? (a) 5 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8407 or -8432?\nAnswer: -8432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11) + sqrt(11) + (sqrt(11) - (sqrt(396) + (sqrt(396) - sqrt(396)*-1))))*-3.\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(105\/24)*(-7 + 2). Let h be (o\/3)\/((-56)\/(-21) + -2). Is -8*1013\/(h - (8 + 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14641 - 14624. What is the remainder when 1848 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 4684?\nAnswer: 42156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2446, -10977, -25580, -46249, -72978, -105761?\n\"Answer: c**3 - 3042*c**2 + 588*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 35 = -5*d, 0 = -2*d - 4*n - 18 + 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/241 (b) 10.49 (c) -2\/9 (d) 0.7 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-16)*(-5 - (-34)\/6))\/(-3). Let r = -4 - -3. Let v = -0.56 - -0.06. Which is the third biggest value? (a) v (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -3\/5, -1\/10, -75, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11220120 (base 4) to base 8\nAnswer: -55030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 3) in base 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z. Suppose 2*y - 1 - 1 = 0. Sort 3, y, z in descending order.\nAnswer: 3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:49 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -94. Suppose -4*i - 7 + r = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 103.8 and -30.8.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*z**4 + z**3 + 1 + 2*z**2 + z + 0*z**3 + 127*z**4 as b*z**2 + t*z**3 + y + u*z + j*z**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -28) + (4 - -9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1785 - 1785 - 349*x in the form z*x + p and give z.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 21. Let u be l(-19). Let k be -1 + u + 1 - (-20)\/5. Solve -4 = k*o - 0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 times -0.0302\nAnswer: 1.4496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7035373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-40))\/(((-264)\/40)\/(-11)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-12005\nAnswer: -6002.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -170.\nAnswer: -11\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r - 2. Calculate x(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.07, -2, -1, -24, -0.4, -1.1, -216?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 84*q**3 - 88*q**2.\nAnswer: 4*q**2*(q - 1)*(q + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -33*o + 73 + 104 + 86 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*26\/(-13). Sort i, -6, 4, 3 in descending order.\nAnswer: 4, 3, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(2 + (1*sqrt(147) - sqrt(147)) + 3)*-5*-1*-2)**2)*5.\nAnswer: 200010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -153*r**3 + 5*r**2 - 41*r + 17. Let z(f) = -229*f**3 + 7*f**2 - 57*f + 26. Calculate -7*b(t) + 5*z(t).\nAnswer: -74*t**3 + 2*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-181)\/((-9774)\/324))\/(30\/116)*20\/4?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -1, 2, 2\/3, 1.\nAnswer: -49, -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 118452.4 days in minutes?\nAnswer: 170571456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.7298496 to one dp.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from yhyhhhyhhh.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -2\/13 (b) -0.3 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*k + 5812 = 26443, k - 4126 = -s. Suppose 12*a - s = -1391. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32628141 + 1.\nAnswer: -32628140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*l**2 + 32*l**2 - 32*l**2 + (-4 + 3 + 3)*(2*l + 2*l**2 - 2*l))*(0*l + 0*l + l**2) in the form a + g*l**3 + q*l + x*l**2 + z*l**4 and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2291476 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.8 + -21. Let j = 0.2 + t. Let h = j - 9.4. Put h, 0.4, 1\/3 in increasing order.\nAnswer: h, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c = 107*c - 37*c - 1378 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 23*o - 3 + 51*o**2 + 2 - 2 - 18*o wrt o.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-175)*-2)\/(47\/(-7))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.49 + 1.5. Let r = 1629 - 1629.01003. Let g = v + r. What is g rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 283 - 256 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 754. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2046, 0, 5 in increasing order.\nAnswer: -1, 0, 5, 2046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 2232, 7534, 17858, 34878, 60268, 95702?\nAnswer: 142854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6730.04287 + -0.04287. Let b = s + -6675.46. Let r = b + -55. What is r rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*p - 32, 5*m - 7*m = 3*p - 4. Let h = 2.9 - 3. Let d = 1.47 + 6.53. Which is the third smallest value? (a) d (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 4*t**2 + 20*t - 5. Let h be z(-3). Let m be ((-57)\/3)\/(2\/(-12)*h). Let y = -85 - -28. Is m at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 18256776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -90. Let w = 8 - k. Let v(h) = -4*h + 12. Let m be v(w). Let n(j) = -j**3 - 4*j**2 + 2. Give n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 585, 581, 575, 567, 557, 545?\n\"Answer: -a**2 - a + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2. Let r(v) = -16*v**2 - 20. Give r(h(y)).\nAnswer: -16*y**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**7\/5040 - i**6\/720 + i**5\/10 + i**2. Let f(q) be the third derivative of h(q). What are the prime factors of f(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 1\/3*z**4 + 0*z**3 + 1\/2*z**2 + 5*z + 0. Determine k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2633386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 - -195. What is the smallest value in 3, 0.12, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:55 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/5)*v*v**(-2\/7) assuming v is positive.\nAnswer: v**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 53?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 25 = 31. Suppose 0 = 5*z - n*z. Suppose -k + 44 + 2 = z. Calculate the remainder when k is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118\/155 + -5\/31. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s + 21. Let z be r(6). Is z*-2*(-1)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29505 divided by -9835.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - c**2 + c + 1. Let x be (-1)\/2 - ((-69)\/6 - -2). Suppose -48 = -12*d + x*d. Suppose -14*u = 16 - d. Determine s(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-3)*(-266)\/(-3990). Put -3, g, -5.2, -0.2, 3\/8 in increasing order.\nAnswer: -5.2, -3, -0.2, g, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 4 + -2 - 2*-1. Let o(f) = f**3 + 17*f**2 - f - 5. Let z be o(-17). Calculate the greatest common factor of z and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21366 by 6.\nAnswer: -3561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24291 divided by 2699.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6\/7, 3\/5 in decreasing order.\nAnswer: 2, 6\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2. Let y(i) = -7900*i + 316. Let k(w) = 316*l(w) + 2*y(w). Let v be k(5). 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: What is (1\/(-2))\/((27*(-68)\/(-4284))\/((-6)\/385))?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8))\/((-505)\/(-202)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*q - 54 = 0, -74 = -5*p + 5*q + 166. Suppose -8*l + 58 = -p. What is the remainder when 23 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -30) + -6 - (-22672)\/(-1308).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.16948 milliseconds to seconds.\nAnswer: 0.09216948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*y**3 - 247*y - 122*y**3 - 143*y - 99*y**3 - 2*y**2 wrt y?\nAnswer: -2214*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 286968*t + 3*t**2 + 286968*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1661*u = -1678*u - 66463200. What is u rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6799835 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2145 - -2189) + -21 + 2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 200*o - 890. Let i(l) = -4*l + 2. Let u(z) = -5 + 5 - 3 + 5*z. Let b = 8 + -4. What is b*i(n) + o*u(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g + 0*g + 18*g - g - 4 + 4 + (0 + 2 + 0)*(-3 + 3 - 2*g) + 4*g - 4*g + g in the form j + k*g and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 9. Let v(l) = -525 + 235 + 142 + 149. Calculate j(c) + 6*v(c).\nAnswer: -5*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 928551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vavvvvavaavvavavavaa. Give prob of sequence avv.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/16 >= 2961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -8. Let b = o - -5. Sort b, 0, 5.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -247, -830, -1969, -3850, -6659, -10582, -15805?\n\"Answer: -31*n**3 + n**2 + n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 2*u + 3*u)*(-6 + 40 - 29 - 25*u) as a + n*u**2 + p*u and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 543 - 550. What is the biggest value in i, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -5, 17618 in descending order.\nAnswer: 17618, 67, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 15. Suppose 2*s + 3 = 2*q + 3*s, -3*s - f = -q. What is the least common multiple of q and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 b, and 2 x when four letters picked without replacement from {x: 2, m: 1, b: 2, p: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2) - (1386\/11)\/18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3767\/4 - -930. Calculate the common denominator of 1 - 12 - 1512\/(-1680) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24509190 rounded to the nearest 10000?\nAnswer: -24510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 39, 94, 189, 336, 547?\n\"Answer: 2*n**3 + 2*n**2 + 7*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 8*m - 11. Let y be t(-11). Let x = -34 - y. Solve x + 10 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32574 divided by -61\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1157, 1156, 1155, 1154?\n\"Answer: -t + 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -17 - 39. Let a(w) = -w**2 - 12*w - 31. Let n be a(b). Suppose 8 = -3*j - n. What is the closest to -2\/3 in -3\/2, 5, j?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1173986 = -39*r + 787498 - 423441. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20103 + -20100. Put 20, j, -4, -8 in descending order.\nAnswer: 20, j, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*h - 3095 - 2789 = -866 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1580*d**2. Let n(a) = 15*a. Calculate n(k(z)).\nAnswer: -23700*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/((-4)\/18). Suppose -3*z - 44 = -5*k, 6*z - 26 = -2*k + x*z. Solve k = s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k - 9. Let q(y) = -y**2 - 9*y - 6. Let z be q(-4). Suppose z*v = 24*v - 330. Calculate the lowest common multiple of x(6) and v.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:10 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from ddeedded.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24570.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.27 - 0.73. Let v = -56.27 - m. What is v rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.62897816 times 0.3\nAnswer: 0.188693448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31637 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 535000 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 208909888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:07 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 950 and 1450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*y - 0 + 4, 4*d + 8 = -y. Solve 25 = 5*i - y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2364788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -34*(-8)\/(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4636)\/(-6)*(8 + 13\/(-2)). Suppose -i = -3*q + 2*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158381953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*y**4 + 38535*y**3 - 215625?\nAnswer: 12*y**3 + 115605*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2174, -4607, -7042, -9479, -11918?\nAnswer: -14359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -117270 divided by -6?\nAnswer: 19545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6272 + -82691. Let o = z + 108488. Let r be (-30 - -1)*o + 1. Round r to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 x, and 1 m when three letters picked without replacement from {m: 3, p: 5, x: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)*c*c**34*c)**(-11\/5) assuming c is positive.\nAnswer: c**(-1969\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 5 = -71 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 + -36 + -23 - (-1 + 6)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*20\/6. Suppose -2*x = -x + 3*l - 26, -y*l = 4*x - 97. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928555027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/3))\/k**(-23))\/(k**(-4\/3)\/(k\/(k\/(k**(-2\/71)*k)*k*k))) assuming k is positive.\nAnswer: k**(1773\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + -7 - 46) + 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -32619*q**3 + 249. Let f(i) = 1165*i**3 - 9. Determine 83*f(s) + 3*j(s).\nAnswer: -1162*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*d**4 + 119*d**3 + 2*d**2 - 154943*d.\nAnswer: 864*d**2 + 714*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 7)*(-3 - -1). What is the common denominator of 41\/2 and -2 + n\/3*234\/(-132)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 7*f**2 - 120*f + 5. Let i be r(8). Suppose 0 = 3*t - 12. Solve 2 = t*c - i*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-70)\/(-4))*(-50 + (-152108)\/(-3036)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k*k\/(k*(k\/(k**(-7)\/k))\/k*k))**(-14\/5) assuming k is positive.\nAnswer: k**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 2. Let m = 1 + 5. Suppose -k - u = -3*u + 24, 0 = -3*k + u - 67. Let i(w) = -4*w + 7. Determine k*f(v) + m*i(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsx when three letters picked without replacement from {d: 2, s: 3, x: 4, b: 6}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k - 6*k**2 + 0 - k**2 - 2*k**2 + 6 + k**3. Calculate the remainder when 53 is divided by p(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 157. Let x(v) = -v + 158. Give 4*x(n) + 5*z(n).\nAnswer: n - 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 3*u**2 + 0*u - 2 - 4*u + u**4 - 2 - 2*u**4.\nAnswer: -(u - 2)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - g + 5 = 13, -v + 2 = 3*g. Suppose v*d = d + 4. Let b(y) be the first derivative of -y**4\/4 + 4*y**3\/3 - 2*y**2 - 3*y + 86. Determine b(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*y - y + 5*w, -4*y + w = 18. What is the nearest to 1\/4 in 1, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3*y**2 + 3*t**3*y + 2621*t**2*y**3 + 18*t*y + 42*t + y**3 wrt y?\nAnswer: 2*t**3 + 15726*t**2*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -124 + 54. Solve -6 = -5*w + u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 4, -4, 30575.\nAnswer: -4, 4, 68, 30575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166.84 + -4.16. Let f = 169.3 + s. Let l = 0.3 - 0.1. Sort f, 0, l.\nAnswer: f, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97109290 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -22*w**3 - 2*w**2 - w - w + 28*w**3 + 5*w**2. Let s(q) = -5*q**3 - 2*q**2 + q. Give -2*p(b) - 3*s(b).\nAnswer: 3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21, -5, -499730 in increasing order.\nAnswer: -499730, -21, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/20 and -31\/758306?\nAnswer: 7583060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12+-1863514392\nAnswer: -1863514404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -147 - -153 - 1*4. Factor 4\/9*p - 2\/9*p**z + 2\/3.\nAnswer: -2*(p - 3)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 4*z + 12, 0 = -182*z + 174*z + 32 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvvvvvzvvz. Give prob of sequence zz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 869*a + 70311. Determine o(-81).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d - 6. Let i = 4 - d. Suppose -t - s + 10 = 0, 4*s = 3*t - 1 + 6. What is the highest common factor of i and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 46 = 3*u, -2*u - 9 - 21 = -o. Let q be (1 + 3)\/((-10)\/(-695)). Let x = q + -44. Calculate the greatest common factor of x and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416032703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqq. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f**4 + f**2)*(3*f - 3*f - 3*f) + (0*f**3 - 2*f**3 + f**3)*(-8*f**2 - 19*f**2 + 19*f**2).\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*v - 5*v + 1369. Calculate the remainder when 363 is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzgz when four letters picked without replacement from {g: 2, z: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*a - 35, -8*a + 6*a = 0. Suppose 7*d - 248 = -3*g + 8*d, g = 2*d + 91. What is the lowest common multiple of m and g?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 636*w - 20673. Let f be j(31). Solve 0 + 24\/7*h**4 - 4\/7*h**5 - f*h + 32\/7*h**3 - 24\/7*h**2 = 0 for h.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 3*g**2 - 3*g - 2. Let f be l(-2). Let d = f + 1. Suppose 3 + 19 = 2*w + 4*j, -3*w = -2*j - d. Solve -w = -4*k - 0*k - 3*b, -4*b = -20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 4*p - 22 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -4\/5 (b) 1\/10 (c) 37.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29294413329 less than -48?\nAnswer: -29294413377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m**(-24)*m))\/m)\/m*m*m)\/m**23*((m\/m**(1\/7))\/m*m*m)\/m*m\/m**(-1\/24) assuming m is positive.\nAnswer: m**(655\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1700, -2, 0, -29, -3, -25 in decreasing order.\nAnswer: 0, -2, -3, -25, -29, -1700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.8, 131, 3, 2, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 103. Let k be g\/(-15) + (-4)\/(-10). Let a(r) be the second derivative of r**3\/3 - r**2\/2 - r. Let b(s) = -3*s + 2. What is k*b(t) - 5*a(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14936 + -328529\/22. Find the common denominator of g and 28\/21 - (-211)\/60.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d**(3\/5)\/d)\/(d**1)**29 assuming d is positive.\nAnswer: d**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 438*k**3 - k**2 - 11*k - 9. Let x be d(-1). Is x < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -19 + 19 + (-2 - -6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52991329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 361173995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 40596 (c) -6\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*-1*(3 + (-4 + -2 + sqrt(242) + 2)**2).\nAnswer: -176*sqrt(2) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifeaaja. Give prob of sequence fij.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-17 - (-1 + 12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.08 + -0.08. Suppose 78 = 8*i - 21*i. Let m be 8\/i*(-1)\/(-2). Which is the nearest to -0.1? (a) m (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.119, -0.36, -246 in ascending order.\nAnswer: -246, -0.36, 0.119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -3\/2, -7, -1\/5595?\nAnswer: -1\/5595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f, 5*n = -3*f + 17 + 15. Suppose -6*j + 2 + 16 = 0. What is the derivative of 31*s**3 - 6*s - 18*s**j - n + 6*s wrt s?\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = -4*u. Let x = 1704 - 1706. What is the closest to u in 0.3, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27+42373.5\nAnswer: 42346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m + 43. Determine b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1847865 and -1847864 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -141*a**3 + 41101 - 58597 + 16605*a + 1029*a**2 - a**4 + 4*a**4 = 0.\nAnswer: -8, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a litre in millilitres?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*u - 4*x + 11, -2*x = 5*u - 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/2*(-13662)\/(-12144)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -231.2 - -91.86. Let g = o - -1.34. Let c = 138.0083 + g. What is c rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 84802 - -2?\nAnswer: 84804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = 24*j - 26*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 9*i**2 + 11*i + 6. Let n be u(8). Let l = -19 + n. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m + 12. Let v(o) = 3*o - 6. Let x(y) = 11*y + 10*y - 23*y + 3 + 2 + 0. Determine m*x(w) - 5*v(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -81. Let p be (-3)\/(-4) - 52\/v. Let d be (3 - 96\/30) + 18\/15. Is d greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 3. Let v be p(3). Let n(y) = y**3 - 6*y**2 - 7*y + 3. Let g be n(7). Solve -g*k**2 - 5*k**2 - 2*k**5 - v*k**3 + 0*k - 2*k - 8*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/197, -0.5, 4, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -21 - (2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 1:22 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -849 + 845. What is the third biggest value in -129, 0.1, q?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5 - 1228*l**4 + 17454*l**3 - 81392*l**2 + 155576*l - 105504 = 0.\nAnswer: -628, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**6*x + 8*h**3*x**3 - 11*h**3*x + 2*h**2*x**3 - 1549*h**2*x wrt h?\nAnswer: -240*h**3*x + 48*x**3 - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -820 + 5739\/7. Let t = 1 + -1. Suppose 4 = -2*i + 2*d, -4*d + 12 = -t*i - 2*i. What is the nearest to i in 0.01, -0.1, g?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.73 + -45. Let v = p + 4.27. Is -2 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/48 + -935\/48. What is the common denominator of w and (21\/(-10))\/(3\/(-16))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 35. Let m be o(-16). Solve -3*w + m*q = 21, 2*w = -0*w - q - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 35*u**3 + 13250*u**2 + 46935*u + 22500 = 0.\nAnswer: -375, -3, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -197343 take away -0.3?\nAnswer: -197342.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(-5*(-2 + sqrt(468) + -1) - ((sqrt(468) - (sqrt(468) + sqrt(468) + -2 + -3)) + -5)))**2.\nAnswer: -18000*sqrt(13) + 192829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*v + 4*v + 0*v + (-11*v - 10*v + 12*v)*(-2 + 5 - 2) to i + l*v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -954817451 by 3715243.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -3*r**3 - 5*r**2\/2 - 5*r + 893. What is u(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 56. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4\/15 + 506*j**3\/15 - 5958*j**2\/5 - 2622*j + 3780 = 0.\nAnswer: -3, 1, 45, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.27 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from {h: 9, n: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 12*u**2 + 4*u + 19. Let k be f(10). Let p = 139 + k. Put p, 1\/12, 3 in descending order.\nAnswer: 3, 1\/12, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234558612 to the nearest integer?\nAnswer: 15315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3659?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 1. Let w(t) = -t**3 - 9*t**2 - 8*t. Let z be (-15 - 15\/(-3)) + 2. Let k be w(z). Let x be b(k). Solve -s + 3 = -x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3*g**(-2\/65) assuming g is positive.\nAnswer: g**(193\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(15) - (sqrt(15) - sqrt(60)*6 - sqrt(15))) + sqrt(45)\/sqrt(3)*-2)\/(sqrt(320)\/sqrt(4) - (sqrt(45) + sqrt(720) + sqrt(45))).\nAnswer: -22*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqqiiiqiiiiii. Give prob of sequence ii.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 21 = u, 36 = 2*s + 4*u. Let y = 5 + -5. Suppose y = 3*a - 12 - 51. What is the remainder when a is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*r + 31. Let i = r - -53\/3. Let k = 0.6 + -0.3. Sort k, 3\/5, i.\nAnswer: i, k, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696510?\nAnswer: 2, 3, 5, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 44 + 9727*j - 39.\nAnswer: 9727*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17426646, 34853292, 52279940, 69706590, 87133242, 104559896?\nAnswer: 121986552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*k + 115*k + 1 - 1.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*l + 97*l - 9*l - 7*l.\nAnswer: 128*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*a + 61*a + 18*a. Solve 0 = -n + 3*o - 13, 3*o - 11 = 2*n - a*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26105, 52159, 78213?\n\"Answer: 26054*n + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -17*y**2\/2 + 3*y - 5. Let q = 6 + -14. Is p(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.009 - -48.009. Let m = 2407 - 2410. What is the closest to 2 in 1\/4, o, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*c*m**5*v + 33*c*m**4 - c*m - 10*c*v - c - 12*m*v + m wrt m.\nAnswer: -900*c*m**3*v + 396*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97859969*d*w**3 + 5*d*w**2 - 19*d*w - 6543723*w wrt w.\nAnswer: 587159814*d*w + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*w + 65*w + 1329 - 681 - 660.\nAnswer: -4*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -76, -96, -118, -142, -168, -196?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.458741 to two decimal places.\nAnswer: -51.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = 5. Calculate the common denominator of 15\/14 and 3\/(-2 + -40) - p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-351)\/390) - (0 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t - 2. Let s be d(0). Let c be s\/(-5)*10\/2. Factor -2*z**4 + 4*z**4 - z + 2*z - c*z**2 - z**3.\nAnswer: z*(z - 1)*(z + 1)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13337*q + 2502 = -13615*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -477*w**2 + 7*w - 3*w + 467*w**2 + 4. Let k = 5 + -4. Let u(y) = -y**2 - y + 1. Let s(n) = k*q(n) - 4*u(n). Find the second derivative of s(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 3:09 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxr when three letters picked without replacement from xrxxgrfrfxgxxxxffx?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 + 31*f - 255. Determine x(0).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 5*v - 2. Let s be a(-4). Suppose -s*i + 4*i = 4. Let r(u) = -2*u**3 + 3*u**2. Calculate r(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1. Let a(i) = -i. Let n(w) = a(w) + 6*r(w). Let o = 31 + -19. Suppose -t - o = -3*t. Calculate n(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 414 + -5398\/13. Let m = l - -74\/39. Which is the second biggest value? (a) 0.3 (b) -1 (c) -2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u - 8*u**5 + 2*u**5 - 3*u**2 + 2*u wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.1 from -1009.\nAnswer: -1013.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 1, 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 115563 = 115745 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(84) + (sqrt(84) - 2*sqrt(84)*5))\/((2*sqrt(132))\/sqrt(11)*1).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -44*p**2 - 25*p - 3. Let t be s(-3). Let i be 0 + (t\/8)\/(-9). Factor i - 3*u + 1\/2*u**2.\nAnswer: (u - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -200, -244, -322, -446, -628?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/24*(-10)\/(-6))\/(((-5)\/(-30))\/(-1))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2613 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 129099.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = -66. Suppose 12*x - 133 - 35 = 0. Let k = x + c. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 50 = -56*n + 54*n, -4*n - 39*a + 51 = 613 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)\/((y\/(y**1\/y))\/y)*(y\/((y*y**(-2\/69)\/y*y)\/y))\/(y**0\/y) assuming y is positive.\nAnswer: y**(-343\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1927 divide 1010900346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 4*l - 16370. Suppose -6*v = -l - 3157. Let o = v - 390. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2771 + 614. Suppose -5*w = -s - 691. Let o = w - 169. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52344 + -34735. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*a + 16. Suppose -30*g = -24*g - 72. Suppose -t + g = a*t. Solve -t*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20879901793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49331141?\nAnswer: 1423, 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3082 is divided by 508.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 + 36*d**2 + 57*d + 1242. What is b(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 - 6 + 6 + 0*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2aa0d + -36?\nAnswer: -2aa43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/18 and -34\/17272305.\nAnswer: 34544610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1872 + 1870 + 0 + 0 + (-1 - -89).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1273 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33007182 and 666?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 4. Let n = 0 + 0.2. Let p = n - 1.2. What is the nearest to p in 1\/6, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 31\/14, -1.7, -3\/5 in ascending order.\nAnswer: -1.7, -3\/5, 0.02, 31\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85716 is divided by 4499.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 1030, 2213, 3870, 6001, 8606, 11685?\nAnswer: 15238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 918, 1825, 2722, 3603, 4462, 5293, 6090, 6847?\n\"Answer: -y**3 + y**2 + 911*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j - 9. Suppose 3*w - 6*w = 9. What is the remainder when 40 is divided by y(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/241, 0.2, 4 in decreasing order.\nAnswer: 4, 0.2, 1\/241, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -240308 (base 12) to base 11\nAnswer: -367606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 28. Suppose 3*x - y = 23. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195666685 divided by -5.\nAnswer: 39133337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 13*h - 3. Let t(i) = i**2 + 14*i - 4. Let b(s) = -s**3 - 55*s**2 + 3*s + 169. Let a be b(-55). Give a*f(c) - 3*t(c).\nAnswer: c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v. Let l(f) be the third derivative of -f**6\/720 - f**5\/40 - f**4\/24 + 2*f**2. Let g(s) be the second derivative of l(s). Determine g(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-1)\/(2 - 1). Let l(o) = 2*o. Give l(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 149595834?\nAnswer: -149595832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39709 is divided by 147.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/836648 and 73\/80.\nAnswer: 8366480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -1 + (-3 + (9 - 6) - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 824811 equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - ((sqrt(136) + sqrt(136)*-3)*-4 + sqrt(136)))\/sqrt(8) - sqrt(102)\/(-4*sqrt(294)))*2.\nAnswer: -223*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 + -5.9. Let c = 7.15 + -0.15. Let z = c - 7.3. Sort z, l, 2\/5 in descending order.\nAnswer: 2\/5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l - 2*k + 10, -4*l - 4*k = -40. Solve -a + 9 = -2*g - l, g - a = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 (base 5) in base 6?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 + 74 + (-2988)\/135)\/(-7 - (-153)\/18).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 8\/13 (c) 853\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, 0, -3, 1\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 - -2.8. What is the nearest to 0 in 0.2, 5\/2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6013 + 5904. What is the second smallest value in -0.5, h, -6, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4582\/(-30) + 2 - (-4)\/10. Let k = -147 - t. Find the common denominator of 17\/20 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137652, 275555, 413458?\nAnswer: 551361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35 * 362.\nAnswer: 126.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/12 + 5*t**4\/24 + 5*t**3 + 39*t**2. Find i, given that s(i) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.65 + -0.69. Let i = d + 0.04. Let n = 64 + -60. What is the biggest value in n, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/120)\/((-27)\/18)*10\/(-15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*m - 7955840 = 194*m - 337*m. What is m rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1238359 or 1238432?\nAnswer: 1238432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 300131 (base 4) to base 8\nAnswer: 6035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 2*o + 29. Let r be u(0). Suppose r*j = 30*j - 13. Which is smaller: j or 14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 14*x**2 - x - 14. Let c be t(-14). Let h(a) be the first derivative of c*a - 1 + 1\/4*a**4 + 0*a**3 + 0*a**2. Factor h(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -32 + (-20952)\/(-1608)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -22\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11085766.\nAnswer: 2, 137, 40459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129484 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + o + 4)*(2157 - 4866 + 2245)*(2 - 2 + 1 + 5 - 3 - 4 + (0 + 1 - 3)*(-1 - 3 + 2)).\nAnswer: -1392*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 868784.6ml in litres?\nAnswer: 868.7846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39875800 rounded to the nearest one hundred thousand?\nAnswer: -39900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -2061, -3325, -4703, -6201, -7825, -9581, -11475?\nAnswer: -13513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460704940 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -4*s - 5*o, 175 = 2*s + 3*o + 2*o. What are the prime factors of s?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(84\/(-16)))\/(42\/(-9))*(-48)\/(-32)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 94.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -38*d + 1560. Calculate the greatest common divisor of 75 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1696, -3396, -5096, -6796, -8496, -10196?\n\"Answer: -1700*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13167 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(13) - (sqrt(325) + 3)) + ((2*sqrt(117))\/sqrt(9) - sqrt(13))) - (-2 + sqrt(1300) + -4 + sqrt(1300) + sqrt(1300)*1 + 0))**2.\nAnswer: -576*sqrt(13) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -648.5 - -646. Sort 2, 4, x, -1\/3 in descending order.\nAnswer: 4, 2, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237724702?\nAnswer: 2, 17, 6991903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*n - 110 - 28, -4*z + 4*n + 528 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2. Let l(y) be the first derivative of -3*y**2 - 11*y + 1. Let j(a) = -a - 2. Let h(c) = 22*j(c) - 4*l(c). Give h(p(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7367 times -7369\nAnswer: 54287423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 360, 539, 718, 897, 1076?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10024019 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)\/q*q)\/q)\/(q**0*q)*((q\/(q*q**(1\/5)))\/q)**(-2\/45) assuming q is positive.\nAnswer: q**(-872\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 18 - 19 + 2*i - 11.\nAnswer: 2*i - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 340 - 340 = 0. Let u(s) = -s**2 + s - 1. Let b be u(5). Let g be 4*(2 + b\/10). Is d at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 6*c = -299. Suppose 5*y + 6*n - 7*n = c, -3*n + 31 = 5*y. Solve 0 = 3*i - 7 - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0936 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5217 (base 12) to base 16\nAnswer: 22f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 9*p = -20. Let s(j) = -5*j**2 - 5*j - 4. Let y(l) = -11*l**2 - 10*l - 9. Let c(q) = 13*s(q) - 6*y(q). Let r be c(6). Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1225*w = 1213*w - 4690800. What is w rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w**5 - 4*w**3 - 14*w. Let k(y) = -18*y**5 + 3*y**3 + 14*y. Let m(c) = -4*k(c) - 3*n(c). What is the second derivative of m(l) wrt l?\nAnswer: 300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttss when four letters picked without replacement from {t: 5, s: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 2. Let f(a) = -3*a**2 + 1. Let c be f(-1). Let g be o(c). Let t be ((g\/3)\/1)\/(-2). Solve t*q - 3 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 4*w**2 + 3*w - 5. Let f be r(-5). Let q be f*(-1 + (-35)\/(-25)). Let l(p) = 2*p**2 + 186 - 190 + q*p + 2*p**2 + p**3. Give l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 7. Suppose 8 = -5*u - 17. Let g be i(u). Suppose g = 4*j - 6. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - y + 8 + 10, 0 = -0*d - 5*d + 33*y - 86 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6344629958.\nAnswer: 2, 3172314979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 39. Let q be 9\/6*152\/(-3). Let c = 230\/3 + q. Put -3, c, z in increasing order.\nAnswer: -3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1106\/33 - 7643\/231. What is f in -6\/7*f - 9\/7*f**2 + 0 - z*f**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is af7 (base 16) in base 4?\nAnswer: 223313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1094*p**2*w**3 - 6*p**2 - p*w**2 - 72*p wrt w.\nAnswer: 3282*p**2*w**2 - 2*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)*d)\/(d*d*d**10*d*d)*d\/(d**(2\/5)\/d)*d**(-2\/13))**(1\/32) assuming d is positive.\nAnswer: d**(-269\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(3\/(-1164)*6). What is x rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-16))\/((15\/20)\/3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeexyeyeeeyyxee. Give prob of picking 2 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -49*u**2 + 4*u - 4. Give l(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/48 - 2\/16*2. Let u = -6 + 9. Let w(z) = -z - z**3 + 3*z - 5*z + z - u*z**2 + t. Calculate w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/31)*f)**(-22\/9) assuming f is positive.\nAnswer: f**(-1408\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 9:20 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 - x. Calculate the remainder when -2 + 24 - 12\/(-4) is divided by w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/4 and -25\/1319.\nAnswer: 5276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, o: 2}. What is prob of sequence jjoj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -dd7917?\nAnswer: dd7911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 3, -1.8, -4, -412, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 8*y - 15. Suppose -5*v + 30 = -5*a, -5*a + v - y*v = 9. List the prime factors of (381\/15 + 0)*(2 - a).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 0.163 (c) -419\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Product of 4260 and -0.626.\nAnswer: -2666.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -1)*2*120. Suppose 8*i - 3*i - f = 0. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -35.398?\nAnswer: -141.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 2141421?\nAnswer: -2141323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 4 + 10)*(8*d**3 + 288*d - 288*d) as v + t*d**2 + q*d + z*d**3 and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -30, 0.4, -2\/2835, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(2\/41))\/x**(-7))\/((x\/(x*(x\/(x\/x**7))\/x))\/(x\/(x*x**10\/x))))**7)**(-33) assuming x is positive.\nAnswer: x**(-46893\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 1:18 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212 - 1?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 147 and 1636.97 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4470678 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 6, q: 5, j: 2, d: 1, h: 2}. What is prob of picking 1 g, 1 j, and 1 n?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 15.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*t - 9, 4*a + t + 2 + 4 = 0. Let q(g) be the first derivative of -g**2\/2 - g + 12. Let c(s) = s - 1. Give a*q(b) - 3*c(b).\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1662*r**4 - 1084*r**2 + 2 wrt r.\nAnswer: -39888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -622?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27124856*f**3 + 20 + 11 + 18 - 27124862*f**3 - 49.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 722873.4 milligrams in grams?\nAnswer: 722.8734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2186623, -2186580, -2186537, -2186494, -2186451?\n\"Answer: 43*v - 2186666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14001.\nAnswer: 3, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8822, 18011, 27174, 36299, 45374, 54387, 63326, 72179?\nAnswer: 80934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(207\/(-18)))\/((-1)\/(-6)*3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)*(0 - -6). Let g(l) = -166*l**3 + 37*l**2 + 21*l + 66. Let m(k) = 39*k**3 - 9*k**2 - 5*k - 16. Let v(i) = -4*g(i) - 17*m(i). Determine v(r).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*m - m - 7, 5*w + 25 = 0. Let k = m - -16. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*d - 0*h + 272, -12 = -4*h. Let f = d + 74. Let c(o) = 5*o**3 - o + 4. Is c(f) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 - 107. Let u be 1\/(6\/(-99))*(-18)\/(-9). Let o = h + u. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -28. Let k(b) = 3*b**3 + 2*b + 2. Let y(c) = -10*c**3 - 7*c - 7. Let i(z) = n*y(z) - 7*k(z). Let i(s) = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/16 in 0.1, 18, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m**(2\/7)*m*((m\/(m\/m**(1\/2)*m))\/m*m)**(1\/9))\/(m**(1\/10)\/(m\/(m**(3\/2)\/m*m)))**(-11) assuming m is positive.\nAnswer: m**(5563\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = k + 49, 0*w + 33 = -k - 3*w. Let i be (-1 - 0)*10\/k. What is the third biggest value in i, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106828, -106827, -106826?\nAnswer: -106825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117688016.\nAnswer: 2, 107, 68743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microsecond in nanoseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -13. Suppose 25 = -z*a, 3*x = 4*a - 0*a + 26. Solve -2 = 3*q + h + x, -q = 2*h - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*p - 3 = 33, 5*a + p - 38 = 0. Let o(w) = 3*w - 15. Let t be o(a). Solve -2*b - 20 = -t*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4680\/1248)\/((-1)\/12)*(-1)\/(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t - 3*t + 0 + 2 + 7*t + t**2. Let m be n(-9). Suppose -m*z = -2*x - 2, -2*x - z = -1 - 0. Let y(p) = p**3 - p**2 + 4. Calculate y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*f + 318. Let o(u) = -27*u**2 + 15*u + 36. Let q be o(-2). Let a = f + q. Solve -2*l = a*p - 30, -p + 27 = 4*l + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13876.36 - -14285.1852. Let c = -409 + h. What is c rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 2. Suppose -4*k + 5*j + 15 = 2, -4*k + 4*j + 12 = 0. Let s(v) be the first derivative of k - 1\/2*v**2 - 3*v. What is 4*s(x) + 7*z(x)?\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*o*y**2 + o*y + 3*y**2 + 8*y + 5 wrt y.\nAnswer: -24*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 105\nAnswer: -104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 13.00000018. What is y rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/45 + (0 - (-9)\/(-5)). Let x = -9 + 14. Sort f, 15, 3, x in descending order.\nAnswer: 15, x, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) -6\/7 (c) 0.03 (d) 3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5\/3 + 28*o**4 - 84*o**3 - 1924*o**2\/3 + 1392*o + 1920 = 0.\nAnswer: -4, -1, 3, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 3*c**2\/2 + 14*c - 10. Let g be f(-4). Solve -q = -g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n**2 + 15*n**2 + 12*n**2 - 2*n**3 + 12*n**2.\nAnswer: -2*n**3 + 83*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/982)\/((-2)\/8). Let s = -13995768197\/35349400155 + -1\/14398941. Let h = s - j. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 c when three letters picked without replacement from {c: 3, m: 5, d: 3, s: 2, o: 3}.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27113 - 27112.6. Let y = 0.6 - 0.2. Let v = -1.6 - y. Put v, 2, f in ascending order.\nAnswer: v, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 divided by -7420?\nAnswer: 137\/7420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.072 + 1118217.\nAnswer: 1118216.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - 12) - (-2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - 15\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.9238 minus -2952864?\nAnswer: 2953049.9238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b35 - 4?\nAnswer: 4b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2553793.\nAnswer: 11, 179, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28307072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445677, -445627, -445537, -445401, -445213?\nAnswer: -444967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/3 + 33626*z**3 - 3532604*z**2\/3 + 9691224*z + 10902384 = 0.\nAnswer: -50474, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**5\/60 - 3*r**4\/8 + r**3\/6 + 403*r**2. Let q = -2 - 8. Calculate y(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1092*l - 283*l + 931*l.\nAnswer: 1740*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90475 + -0.4.\nAnswer: 90474.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 218506618 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h. Let p(u) = -u**3 + 5*u**2 + u - 5. Let v be p(4). Let m = -2870 + 2872. Let z(x) = 18*x**2 + 9*x**2 - v*x**m. Give g(z(o)).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -131350440 or -131350438?\nAnswer: -131350438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((5460\/25)\/14)\/((-4)\/(-14)*(-336)\/(-320))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = r + 507 - 521, 5*r + x = -74. Let p be 0 - (-5 - (0 + -1)). Sort p, 0, r in ascending order.\nAnswer: r, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -233?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:50 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, e: 1, p: 1, g: 1, a: 3, u: 2}. What is prob of sequence eu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7287*a**3 + a**2 - 1056*a + 7 wrt a.\nAnswer: 43722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 2*n - 4. Let b(i) = -1. Calculate -2*b(c) + u(c).\nAnswer: -3*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(44)*-3*5) + sqrt(33)\/(sqrt(3)*1) + 1 + 1.\nAnswer: 2 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252941704?\nAnswer: 2, 31617713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 - 4*i. Suppose -8*m - 18 - 30 = 0. Let a be c(m). Calculate the greatest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(99) + -4)**2)*-4.\nAnswer: -460 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2. Let k(y) be the second derivative of y**7\/1260 + y**4\/6 + 2*y. Let s(t) be the third derivative of k(t). Determine s(j(c)).\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293 - -298.14. Let o = -0.14 + g. Which is the nearest to -2? (a) -3 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 9152710*j - 62829075258075.\nAnswer: -(j - 13729065)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -7652847\nAnswer: -28\/7652847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32381.959878 - -32376.16. Let g = o + 5.8. Round g to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 60. What is the remainder when 322\/10 - 6\/v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(60)\/sqrt(5)) + 3 + sqrt(99).\nAnswer: 3 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6 = 0, -4*c - 8 = -5*o - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.672*-0.4.\nAnswer: 0.6688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -32*y - 1867. Calculate d(-57).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -20. Let z(v) be the second derivative of 1\/30*v**6 + 0*v**4 + 0*v**t + 0*v**3 + v**2 - v + 0. Differentiate z(u) with respect to u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -283. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 4. Let i(r) = -r**2 + 25*r + 56. Let a be i(27). Let q(j) = -31*j**a - 25*j**2 + 55*j**2. Determine t(q(c)).\nAnswer: -c**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 230, 9, -95.\nAnswer: -95, 3, 9, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3654*v + 3652*v + 8*v**3 + 14 - v**2 - 7*v**2 + 2*v**4 as c*v + s + d*v**4 + q*v**3 + l*v**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 37*f = 15*f. Solve 5*d - 3*a - 16 = -5, -4*d - 2*a + 22 = f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtotooototomtotttt. What is prob of picking 3 o and 1 t?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/9 - (-130963)\/63?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 8765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g + 6*g**3 - 4*g + 11*g - 136*g + 156*g.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157020643 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 46 = -6. Let q(z) = z**2 - 7*z + 6. Does 7 divide q(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0 + 10 = 0. Suppose -2*n + 75 = n. Suppose s + 19 + 1 = 4*v, 5*v = -2*s + n. Solve s*a + j = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.016 + -2.684. Let g = 0.7 + u. Put g, 2\/7, -1\/9 in descending order.\nAnswer: 2\/7, -1\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 + 0*c**3 + 2*c**3)*(1 - 29 + 3) to the form p*c**3 + x*c**2 + b + y*c and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 20*q**2 - 38*q - 34. Let v be i(-18). Suppose 4*r - 7*r + 4*z = -20, -r + 10 = -v*z. Solve -4*g + r*g + 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/23 in -0.4, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 507\/5 - 101. Let a(s) be the first derivative of 0*s**4 - 5 + 0*s**3 - r*s**5 - 5*s + 0*s**2. What is the first derivative of a(l) wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -0.2 (c) 1 (d) -5 (e) 12.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1*(-4)\/48. Let p be 28\/18 + (-1612)\/(-468). Put c, 6.3, p in decreasing order.\nAnswer: 6.3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.174 times 489.13?\nAnswer: 85.10862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -13 - 53. Let y(a) = 2*a**2 - 24*a + 12. Calculate y(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43519 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17 + 22 + 17 - 56 + 10*r. Let t(s) = 2*s**2 - 44. Determine t(n(c)).\nAnswer: 200*c**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.1 + -1.1. Let f = 9.9 - o. Let a = -3 + 2. What is the nearest to f in a, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p - 9. Let y be o(3). Let x be (-35)\/(-11) - y\/231. Solve -18 = -3*m - 0*m - x*k, 0 = -k + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 + 10*n + 7. Let i be p(-1). Sort i, -4, -6, -1 in descending order.\nAnswer: i, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.141 - -0.078. What is j rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/29)*(z\/z**(-5\/8)*z*z)\/z)**(-9) assuming z is positive.\nAnswer: z**(-5625\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 3*k)*(-k - k**3 + k) - 2*k**4 + 0 + 0 + 0*k**4 - 2*k**4 + 3*k**4 + (4*k**2 - 2*k**2 + 0*k**2)*(-3*k**2 + 5*k**2 - 3*k**2).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 645, 1290, 1937, 2586, 3237, 3890?\n\"Answer: n**2 + 642*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14661, 29320, 43979, 58638?\n\"Answer: 14659*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*q + 2*q + 7, -4*r - 24 = -3*q. Let b(g) = -g**3 - 4*g**2 - g - 1. Determine b(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 7. Let p be c(-3). Let u = p - -5. Solve 0 = u*q - 2*o + 7, -o + 3 + 5 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 2*v**2 + 3*v - 1. Let x be o(3). Let p be x\/(-4) - (-95)\/20. Let i = 5 + p. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 7*u**2 + 2. Let q be h(-7). Let y be (q - -4)*(-56)\/(-6). Let l = -35 + y. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (1 - (-134)\/(-8)). Let q = o + -19. Which is the closest to -1\/4? (a) -0.1 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-595620)\/(-1890) - (15\/7 + -2) and 25.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79.95 + 73. Let t = 7 + g. Which is the biggest value? (a) t (b) 0 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(114) + sqrt(114) + -6*(2*sqrt(114) + sqrt(114) + sqrt(114) + sqrt(114)) + -2*-1*sqrt(114))\/(-1*sqrt(486)*4).\nAnswer: 13*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75360 divided by 240.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 259866*l - 138290?\nAnswer: 259866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + 4 - (0 + (0 + sqrt(2))**2).\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = -4*b. Suppose 5*f - 419 = b*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1365 and 525980.\nAnswer: 1577940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11271\/37791)\/(442\/(-936)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1055 divided by 211\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245671980.\nAnswer: 2, 3, 5, 4094533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 14. Let x be y(-11). Suppose 15 = -5*k + 3*q, 6*k = x*k + 2*q - 9. Let n(c) = c**2 + 2*c - 4. Give n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230797447 to the power of 1\/2, to the nearest integer?\nAnswer: 15192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**3 + 2*i**2 + 2*i + 1. Let n be -6 + 8 + -3 + 0. Let x be q(n). Solve 2*m + 3*d = 0, 4*m = m - x*d - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 2*w**2)*(-3*w**3 - w**2 - 3*w**3 + 11*w**3 - w).\nAnswer: -10*w**5 + 2*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.086 in 1, 9, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1320 + -11?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18927839.3 and 0.4?\nAnswer: 18927838.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**7\/7560 + x**6\/1080 - x**5\/360 - x**4\/4 + 2*x. Let w(f) be the third derivative of k(f). Suppose w(s) = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4089.66 minus 0?\nAnswer: -4089.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -66 and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 + 2*u - 19 - 2*u**2 - 14 + 29 in the form j*u**4 + c + q*u**2 + n*u**3 + m*u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 230. List the prime factors of x.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 406 = -5*g, -g - 5*b + 45 = -47. Suppose -5*o + 5*v - 255 = 0, 3*o - 2*o + 48 = 2*v. Let t = g + o. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from caaoaaoaccaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.52 + 1.4. Let z = r + 0.02. Let j = 2 + -4. Sort z, j, -2\/3 in decreasing order.\nAnswer: z, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:56 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66490*j = -66733*j + 10449 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 1\/4*o**4 + 4*o + 0 - 5\/6*o**3 + 1\/120*o**6 - o**2 - 2\/15*o**5. Give w(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/9 - 536*s**2 + 61826*s\/3 - 1768900\/9 = 0.\nAnswer: -2450, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:55 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619704752.\nAnswer: 2, 38731547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2. Let p be (-308)\/(-26) + (-10)\/(-65). Let w(z) = 10*z - p*z - z. Give g(w(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 164861?\nAnswer: -164858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 115.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.9 rounded to zero dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**5 - 26*l**4 - 10*l**3 + 200*l**2 = 0.\nAnswer: -5\/2, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 29313*d**2 - 11*d - 6*d**3 + 13*d**3.\nAnswer: 11*d**3 + 29313*d**2 - 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.56 - 0.06. Let d = 1 - x. Which is the biggest value? (a) 0 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -5\/4, 4538 in descending order.\nAnswer: 4538, 0, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*c + 228*c - 140110 = -p, 0 = -2*c + 4. Round p to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 57, 90, 131, 180, 237, 302?\n\"Answer: 4*b**2 + 13*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1208 = -5*i, 4*i = v + v - 2346. Factor -1183*n**3 + 12*n**4 + 4*n**5 + v*n**3 - 16*n**2.\nAnswer: 4*n**2*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(5\/(-525)*3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Suppose l*s - 27 = 15. Suppose 0*c + s = 3*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3687, 7333, 10979, 14625, 18271, 21917?\n\"Answer: 3646*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(392) + sqrt(392)*1)*4)\/sqrt(8))\/((sqrt(280)\/(sqrt(40)\/sqrt(4)))\/sqrt(4)) + 3.\nAnswer: 3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -5*s. Suppose s*i - i = 0. Solve -9 = -i*y + 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 15. What is the units digit of x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 4901?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*y - 120640, -3*a - 11*y = -29287 - 43057. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -704*k + 19785 - 3593 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 213\/2?\nAnswer: 213\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1440650.4817551344 + 241.1181978656. Let d = 1440874.6 - k. Let n = d - -17. Round n to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -218*j - 29. Let c be z(-3). What is the remainder when 52 is divided by (4\/5)\/(25\/c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 392298000 to the nearest 1000000.\nAnswer: 392000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 6*v - 9*v)*(-61 + 87 + 127) + v + v + 0*v.\nAnswer: 308*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 14*o + 3. Suppose o*f + 2*f = 4*r + 12, 2*f = -3*r + 14. Solve -z - 3 = -3*l, 3 = -3*z - f*l - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.47 + 0.07. Let n = 1.2 + -0.2. Which is the second smallest value? (a) n (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 5. Let i be m(-3). Let y = -3 - -6. Suppose y*x + 3*b = 33, -b - 5 = i*x - 43. What is the smallest common multiple of x and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1368 in 0.5, 12\/7, 5, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 4*u**2 - 3*u - 4. Let c be q(-4). Suppose -2*o - 2*o = -c. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126782 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*b + 5*k, -3*b + 6 = -5*b - 2*k. Suppose -4*r + 82 = -0*r + 2*q, 2*r - 38 = b*q. Suppose -7 = 3*p + r. Do p and -9 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 14*y + 16 + 2*y**2 + 19 - y**3 - 56. Let z be w(4). Solve -12 = 4*m, -5*n + z*m - 5*m = -9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1816 + -1336. What is the remainder when o is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 - -2.91. Let m = -0.09 - v. Which is the third smallest value? (a) m (b) -4\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91056225179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*m**2 + 2*m**3 + 240*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f**3 - 31*f**3 + 2*f**2 - 39*f**3 - 2*f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 0 + 2)*-6)**2.\nAnswer: 720*sqrt(3) + 2844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-3\/7)\/(((f\/f**(3\/7))\/f)\/f)**(-3\/14) assuming f is positive.\nAnswer: f**(-36\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 9. Suppose 5*q - 10*q + 100 = u. Solve o + q = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.6 - -36.6. What is the closest to 147 in t, -0.01, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 116182, 116213, 116244, 116275, 116306?\n\"Answer: 31*p + 116151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 + 41*y + 1714. Determine s(-21).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 5*c**2 - 5*c - 4. Let j be o(6). What is the greatest common divisor of j and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 34*l**2 + 48*l - 79. What is the units digit of a(30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((18\/(-4))\/(-3))\/((-135)\/85230). Let k = -1797\/2 - j. What is the common denominator of -87\/26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 574\/42*12\/(-8) - (-174)\/348\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -3, -1, 1 in ascending order.\nAnswer: -3, -1, -2\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) 1\/5 (c) 10\/23 (d) -4\/7 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121571*c - 76*c**2 - 122538*c + 373*c**2 wrt c.\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 3102.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 30*x**2 - 135*x + 116. Let u be f(4). Solve u*a = 31*a + 125 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -62*q - 1500. Let t(w) = -19*w - 499. Give 2*m(i) - 7*t(i).\nAnswer: 9*i + 493","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**0)))\/o)**(-8\/3) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1106611637 - 3?\nAnswer: 1106611634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/192 and 19\/40619584.\nAnswer: 121858752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128869 is divided by 698.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + (-5 - -4) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*x - 4*s, 3*s + 4 = 4*x + 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 5*w**2 - 7*w + 1. Calculate the least common multiple of z(-6) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. What is the tens digit of i\/(16\/10)*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -762.962406 to 1 decimal place.\nAnswer: -763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 29 + 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 344865838 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = v - 0. Suppose -3 = -2*n - 1. Suppose -f = -v + n. Let i(l) = l + 1. Give i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, p: 8, x: 3}. What is prob of picking 2 l?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 8*g**2 - 11*g + 6. What is y(9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 54 = b, 2 - 6 = b. Suppose u - r = -u. Suppose 0*n - c + 70 = u*n, 70 = 4*n - 2*c. 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: Let n = -42 + 119\/3. Are -3 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 53 + 37 = 0. Let f be ((-56)\/35)\/((-2)\/(-20)). Let k = f - -17. Calculate the greatest common divisor of j and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6574 at least as big as -204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -28 - 40. Let c = -5 - 8. Let k = c + f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (0 - 1) + (12 - (28 + 61 + 11)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 37 + 3 + -32 + -2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 53*n**2 + 58*n**2 - 108*n**2. Let r(j) = -j. Determine x(r(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3 = 145*o - 147*o, 3*o = t + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g - 12*g - 11*g + 14*g + 25*g + 498*g**2.\nAnswer: 498*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 0*x**6 + 2\/3*x**3 + 2*x + 0*x**5 + 2\/21*x**7 + 0 + 0*x**4 + 0*x**2. What is the second derivative of l(o) wrt o?\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*g + 589*g - 146*g.\nAnswer: 199*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(3\/36). Let a(h) = -h + 12. Let l be a(8). Let r be x\/12*l*2. Solve -5*g - 17 = -2*p, p + r*p + g = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1969 + 98 = 53*p for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45540446?\nAnswer: 2, 7, 479, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.127558 - -4?\nAnswer: 3.872442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7301.34 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*k + 7, -3*n + 6 + 1 = 5*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**2 + 3*r - 2*r - 11*r**2 - r**2 + 2*r**3 - 3 to t + o*r**2 + y*r + q*r**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -19*m**3\/6 - 59*m**2 + 1248*m. Determine s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7167, -2, -0.2, -26, 2 in ascending order.\nAnswer: -7167, -26, -2, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*t*x**4 - 897*t*x**3 - 94262*t*x**2 - 2*x**6 wrt x.\nAnswer: 360*t*x - 5382*t - 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 7*h - 5. Give u(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 1:46 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 65 = 4*p - 49, 4*q - 8 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**5 + s**4 + s**3 - s**2 - s - 2. Let c(h) = -6*h**5 + 46*h**4 - 575*h**3 - 2021*h**2 - 2128*h - 719. Let p(x) = -c(x) - 5*k(x). Factor p(z).\nAnswer: (z - 27)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 36 = 381. Sort 0, 4, o, -5 in decreasing order.\nAnswer: o, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -11*q + 6. Let a be q + -3 + 12 + -3. Suppose 0*p - a*p + 207 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - w + b + 15, -b + 33 = 5*w. Let q(g) = -8*g**2 - 702*g + 700. Let j be q(1). What is the units digit of 2352\/9 - j\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12*((-10)\/(-6) - 1). Suppose z = -0*o + 4*o. Solve 0 = 3*w + q - 2, q - 6 = o*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 86252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253875 and 7500.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -81 + 513\/2*n**2 + 183\/2*n**3 + 405\/2*n + 21\/2*n**4 = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from hfkkkkswsfkhhkhkw?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -280, -4, 17, 28 in decreasing order.\nAnswer: 28, 17, -4, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 528\/7 - 75. Suppose -x + 0*x = 6. Find the common denominator of v and (15\/20)\/(x\/53).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*x**3 + 437?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13460 - 6*b**3 + 2*b**3 - 13460.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28730, -57457, -86184, -114911?\n\"Answer: -28727*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 475 and 930.\nAnswer: 441750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 13. Let y(w) = -w + 1. Let n(s) = -b(s) + 6*y(s). Let r be n(-2). Calculate the highest common divisor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 16*d**5 + 20*d**2 - 32*d**4 + 4*d**3 + 0*d + 2*d - 6*d - 4 = 0 for d.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -27*l**3 + 7*l**2 - 22*l + 2. What is the hundreds digit of f(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(18 - (6 + 4)). Solve p = -4*f + 16 - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2436, -4722, -7008, -9294, -11580, -13866?\nAnswer: -16152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-6)\/2)*(7 - 8). Suppose -g*h - 66 = 2*f, h + 15 + 24 = f. Let a = 42 + h. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 26*q + 9. Let j(r) = -52*r - 17. Let c = 109 - 113. Let a(o) = c*j(o) - 9*z(o). Differentiate a(b) with respect to b.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8750.133kg in grams?\nAnswer: 8750133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.394042584 rounded to 3 dps?\nAnswer: 1.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 74.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 153724\/7 bigger than 21961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 355 and 710?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -6*r + 0*r**6 - 1\/21*r**7 + 0 + 0*r**4 + 0*r**2 + 1\/10*r**5 + 0*r**3. Solve j(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 1}. What is prob of picking 1 h and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**6\/2700 - 2*h**5\/225 - 7*h**4\/180 - 31*h**3\/3 - 11*h - 3. Let a(n) be the second derivative of l(n). Factor a(b).\nAnswer: -2*(b + 1)*(b + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181 - -190. What is the remainder when 79 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*a - p, 0*p + 1 = p. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5584.7 - -5586. Is -5 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 + -207.9. Sort 2\/11, -0.9, m in descending order.\nAnswer: 2\/11, m, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.39 - -10.4. Which is the closest to m? (a) -0.11 (b) 2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/7*70\/(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2002 and 21669648?\nAnswer: 21669648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5345896 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1331) - (0 + sqrt(1331))) - (sqrt(1331)*2*4 - sqrt(1331)))**2.\nAnswer: 65219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001110122002 (base 3) to base 5.\nAnswer: -403420330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from gwggggggggggggg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-6)\/10) + 4. Is 15 a factor of -4*z\/(-4)*-165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -1142.\nAnswer: -1142.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g + 2. Let j(k) be the first derivative of -6*k + k**2 - 5 - 9*k**2 + 3 - 2*k**2. Determine -17*d(y) - 6*j(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6332 = -5*m - 80773. Let n = -34121 - m. Round n to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -17. List the prime factors of ((-18)\/y)\/(1\/(-288)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/6 - 6175*j - 185100 = 0. What is j?\nAnswer: -37020, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8 times -0.05?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9*r = -8*r - 2, -18 = d - 5*r. Suppose 2*n - 10 = -d. Put -22, -1, n in increasing order.\nAnswer: -22, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37104*o - 37041*o + 315 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -96572954 divided by -17\nAnswer: 5680762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 4 + 4 + 0*z - z + 3*z + (0 - 1 + 2)*(-4*z + z + 2*z))*(4*z + 255 - 255).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 5) to base 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1426278820 and 1220.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 k when three letters picked without replacement from nkukk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8493*f**3 + 7589 wrt f.\nAnswer: 25479*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43796?\nAnswer: 2, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -23\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1201*u + 350. Is c(-39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 647*l**4*v - 46453*l*v**3 - 10950*v**3 - 2*v**2 - 3786*v wrt l.\nAnswer: 2588*l**3*v - 46453*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2293404 and 30 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1673381, 1673357, 1673321, 1673267, 1673189, 1673081, 1672937, 1672751?\n\"Answer: -w**3 - 17*w + 1673399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2443 and 3339.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-100)\/12*108\/(-45). Solve -4*r + o = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:12 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*l = -4, 0 = -3*c - 5*l - 13 + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yty when three letters picked without replacement from yyshtsth.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/10)\/(h\/h**(-2\/5)*h))\/((h\/(h*((h**14*h)\/h)\/h*h))\/(((h**(-2\/65)\/h)\/h)\/h)) assuming h is positive.\nAnswer: h**(1127\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {j: 1, k: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 551851542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*8\/22. Let i = 244 + -244. Is i at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2)\/w*w)**2)**(-26\/7) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {l: 1, z: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068 + -26.93888?\nAnswer: -27.00688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/704304 and -17\/10512.\nAnswer: 704304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 881588654 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1445 (base 6) to base 5\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*((-8)\/(-6))\/4. Are 0 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -11.8 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5650, 22512, 50618, 89968, 140562, 202400, 275482?\n\"Answer: 5622*k**2 - 4*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6) + 1)*(-5748 + 5715)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(91) + (2*sqrt(91) - sqrt(91)))\/sqrt(7) + -3 + (5*(sqrt(52)\/sqrt(4) - sqrt(13)) - (sqrt(13)*3 + -5)))**2.\nAnswer: -52*sqrt(13) + 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(448) + -1 + sqrt(448) + sqrt(448) + -4)**2 + (sqrt(175)*2 - sqrt(175) - sqrt(175))*6 + 0.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -26. Let t = -5 - -4. Which is the nearest to -1? (a) w (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f + 63. Determine x(-20).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.284005062923 - -4.\nAnswer: 4.284005062923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -22 + 13. Suppose 8 - 29 = -a*r. Solve 4*o + 3*h + 19 + r = 0, 2*o + 18 = -4*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 4*r - 4. Let u be ((-2)\/(-9) - 276\/270)*5. What is i(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41623 and 3501?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 7943\nAnswer: -2\/7943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 51*j**7\/7 - 7*j**6\/6 - 4*j**3\/3 + 131*j - 374. What is the third derivative of d(m) wrt m?\nAnswer: 6120*m**3 - 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -2841?\nAnswer: 2831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - ((-3 + sqrt(19))*-4 + sqrt(19) - sqrt(19))) + (sqrt(19) - (sqrt(19) - (sqrt(76)*-1)\/sqrt(4)) - sqrt(19)))*-3)**2 + 1.\nAnswer: -648*sqrt(19) + 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0*s - 9*s + 0*s - 5*s - 30. What is the remainder when a(-6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2069*q**5\/2 + 2094*q**4 + 117833*q**3\/2 + 54438*q**2 - 1350*q = 0.\nAnswer: -6, -1, 0, 50\/2069, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39568.\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2197 - -2200. What is the smallest value in l, 0.5, -0.172, -2\/13?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 10*x - 53. Let c be f(-4). Solve -3*z + 32 = -4*v, -c*z - 5 = -v - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u - 4. Give v(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2097d - 2b1?\nAnswer: 206ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((2\/8)\/(35\/840) + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 426 + 157 = 0. Let q be (c\/52 - (-5)\/(-20)) + -5. What is the nearest to q in -4, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 660 = -j - 0*j, -j = 4*c - 663. Let d = -1490 + j. Is (d\/(-2))\/(39\/6 - 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. What is the tens digit of (-28)\/g*460\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*-1 + sqrt(216))\/sqrt(12))\/(3*sqrt(6)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11788a (base 11) to base 5\nAnswer: 21423300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 918.6077 nanograms?\nAnswer: 0.0009186077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9819602, -19639153, -29458704?\n\"Answer: -9819551*t - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 - 45 = 5*b. Let f = b + -4. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p + 2*p)*(2 + p - 2) - p**2 + 4*p - 4*p - 86 + 3*p**2 + 86.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*l = 4*l - 2, 30 = c + 4*l. Suppose 11*z = c*z - 507. Let u = z - 9. Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let w(t) = 109562*t - 391. What is w(b(f))?\nAnswer: 109562*f - 391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33210648 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 137?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 3*q**2 + 0*q**2)*(-q + 0*q**2 - 5*q**2 + 4*q**2) - 3*q**4 - 4*q**3 + 4*q**3.\nAnswer: -2*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -32*s**3 + 6 - 4*s - s + 4*s - 44*s**3 + 77*s**3. Suppose d + d = 0. Suppose 2*k - 6*k = d. Give n(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 less than -248618?\nAnswer: -250316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624100.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 497436221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -10667392 and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1920572 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0 - 1\/3*l**2 + 1\/18*l**4 + 1\/3*l**3 - 1\/10*l**5 - 2*l. Factor q(h).\nAnswer: -2*(h - 1)*(h + 1)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, -49, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + 3 + -5 + 4 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.945 - 0.055. Let o = 35.02 + p. Let x = 0.2 + -5.2. Which is the third biggest value? (a) o (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/1058 - -3009\/58190. Calculate the common denominator of o and 7\/645.\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12776011 or 25552021\/2?\nAnswer: 25552021\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qormtrg. What is prob of sequence tqo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0317 - 62639\nAnswer: -62638.9683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7736)\/(-44) - (-6)\/33. Suppose -122*m = -27431 + 11327. Calculate the greatest common divisor of m and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 18\/4)*(-4)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11773446 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 13 - (-1 + -10 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 + 165*t**2 - 58*t**2 - 49*t**2 - 56*t**2. Let r(f) = 17*f**3 + 7*f**2. Calculate -9*j(q) + 2*r(q).\nAnswer: -2*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9be0 - e?\nAnswer: -9bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -730 smaller than -1140167\/1565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(108)*2.\nAnswer: -24*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5180 - 3532. Suppose -2*c + 774 = -y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1418676 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 24651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 53856*w**2 + 3*w + 2. Let r be y(-3). Let n = r - 914697. Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2577 + 2576.762. Let w = -3416.378 - -3413. Let a = u - w. Round a to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533635743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 3*g - 8*g)*((g + 3 - 3)*(2*g - g + 4*g) + 5*g**2 - 5*g + 5*g) to m + y*g**2 + l*g**3 + b*g and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:52 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 255*q**3 - 3384*q**2 + 10476*q.\nAnswer: 3*q*(q - 6)**2*(q + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 3*s**2 - 5*s - 1. Let v be k(-4). Suppose -71*o + o + 210 = 0. Solve 2*g + 3*u = -6, 7*g = v*g - o*u - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -81.24, -5 in ascending order.\nAnswer: -81.24, -5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 15*c + 3 + 5*c**3 - 39*c + 2 + 20*c.\nAnswer: 5*c**3 - 4*c - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-594)\/(-88) + -3*2. Let g(o) be the second derivative of 3*o + 3\/2*o**2 - n*o**5 - 3\/2*o**3 + 0 - 9\/4*o**4. Factor g(m).\nAnswer: -3*(m + 1)**2*(5*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000212575118 rounded to seven dps?\nAnswer: 0.0002126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119815650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5852\/2 - (-14 + 4 + 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**7)**(-7\/4)*h**47\/h**(-11\/3) assuming h is positive.\nAnswer: h**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32682 and 2933.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2 - d + 1. Let p(o) = o**3 - 2*o**2 + 2*o + 10. Let i(h) = 2*h**3 + h**2 + 3*h - 5. Let g(n) = 2*i(n) - p(n). What is -g(l) - 4*s(l)?\nAnswer: l**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h + 3. Let m(l) = l**2 - 38*l - 164. Let c be m(42). Suppose h*p = 4*f + p - c, 3*p - 4 = f. Solve v = -2*g - 0*v, 1 = 3*g + f*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d**2 + 9*d + 4. Let p be l(-3). Let j be 20 + -1 + -4 + p. Suppose -5*i - 2 + 52 = 0. What is the highest common divisor of i and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-676)\/(-45) + (-186)\/8370 - 28?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 151*q**2 - 5103*q - 272. Determine s(-100).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1255a (base 12) to base 2.\nAnswer: 110000110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36.39493 - -10424.49\nAnswer: 10388.09507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a tonne in kilograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 87. What is the remainder when 98 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 97 (b) 2\/5 (c) 0.04 (d) -1\/87 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 65. Find the second derivative of -7*c**3 - 1 - 2*c**3 + 15*c**3 - 2*c - 11*c**b - c**2 wrt c.\nAnswer: -30*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s - 8. Let m be 412\/(-2)*-1*(-1)\/s. Suppose -6*k + m = -47. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(16))\/sqrt(2).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 12*a + 2*a + 8*a)*(-12*a + 55 - 55) + a**2 - 5*a**2 + a**2.\nAnswer: 21*a**2 - 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41\/1419 (b) 0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 128\/15 (b) 2\/29 (c) 2\/61 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71686765?\nAnswer: 5, 199, 72047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3463 + -2457. Solve 0 = -3*j + b - 1009 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857189384.\nAnswer: 2, 47, 2279759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwweewwwwwwwwwwwew. Give prob of picking 3 w and 1 e.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/6 + -4)*(-5 + 6 - 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(84)\/sqrt(7)))\/sqrt(6) - (sqrt(28) + -2)**2*-5.\nAnswer: -39*sqrt(7) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1121 + -7787\/7. Let x be (-1)\/4 - (-21375)\/(-2660). Let m = x + h. Put -5, 3, m in ascending order.\nAnswer: -5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + 14 + 11 + -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2 + (-6)\/(-4)). Suppose w*d + 11 = 277. Suppose d = -2*z + 3*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71198 divided by -4?\nAnswer: 35599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 898*c**3 - 19754*c**2 - 22*c - 495. Calculate n(22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.7 - 31. Sort -3, o, -1\/2 in decreasing order.\nAnswer: o, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rzzzrzzzzrzrr.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)\/n)\/n**(-20))\/(n\/n**(-17)*n**0\/n*n))**22 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/3 + 358*v**4 - 63254*v**3\/3 + 1096070*v**2\/3 - 1700988*v - 6263360\/3 = 0. Calculate v.\nAnswer: -592, -1, 10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -562 + 324. Let d = n + 354. What is the remainder when d is divided by (68\/6)\/((-140)\/(-210))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 119, 267, 475, 743, 1071, 1459?\n\"Answer: 30*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 + 4898996*g**3 - 9 - 2*g + 10 - 4898953*g**3 as p*g**3 + b*g**2 + n*g + r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.478*-0.2.\nAnswer: -0.0956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3328 and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 2, y: 1, a: 3}. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0814 times 8?\nAnswer: 0.6512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -8. Calculate the remainder when 43 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8623827 is divided by 8623826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*u + 1012 - 969 = 2882 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:53 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 590 + -0.065989\nAnswer: 589.934011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/12 - 8*h**3\/3 - 5*h**2 - 19*h. Let o be y(-15). List the prime factors of (12\/o)\/((-20)\/(-1150)).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 6*r**2 - 5*r + 4. Let i be n(5). Suppose 0 = -3*l + 2*j + i, -j = -l - 3*j - 4. Which is smaller: l or 9\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 50*s + 17. Suppose 5 = q - 3. Suppose 75 = q*o - 11*o. Let f be y(o). What is the greatest common divisor of 34 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**5 - 120*o**4 + 137*o**2 wrt o?\nAnswer: -60*o**2 - 2880*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26156936?\nAnswer: 2, 13, 163, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 0*h - 1\/3*h**3 + 1\/2*h**2 - 3. Let v(z) = 5*z**2 - 2*z + 2. What is 4*p(w) + v(w)?\nAnswer: w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 164e (base 15) in base 11?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -391, 46856.\nAnswer: -391, -21, 46856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*u - 1490969 = -1484649 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and -6306482 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37847670 to the nearest integer?\nAnswer: 6152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -7*j**5\/60 - j**2. Let o(g) = 7*g**2 + 6*g - 6. Let d(f) = 6*f**2 + 5*f - 5. Let k(s) = 6*d(s) - 5*o(s). What is m(k(t))?\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (19 + -26 - 5 - -11) + 0 + -12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + -100100010010000101?\nAnswer: -100100010001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*p + 28, -8 = -4*p - 2*c + 6*c. Let l be (3 - 0)*8\/p. Find the third derivative of 0*y**4 + 9*y**4 + 6*y**2 - l*y**4 wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 1)*(-127 + 127 - 12*a).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five quarters of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 11*a**2 + 12*a - 4. Let r be f(8). Is 6 a factor of r\/(-6) + (-6)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 6*z**2 + 2*z**2 + 11*z - 6 + 3*z**2. Let g be i(4). Suppose -3*l + 15 = 0, -5*d - 2*l + g*l - 20 = 0. Solve a + 2 - 1 = d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r + 25*r + 70*r.\nAnswer: 132*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 336 = 7*i - 3*c, 5*i - c = 332. Differentiate -i*v**3 - 10*v**2 + 41 + 10*v**2 - 31 with respect to v.\nAnswer: -198*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 2*d + 58. Let t be r(-7). Suppose t*a - 1025 = 21*a - 3*w, 5*a + 2*w = 2579. Calculate the remainder when a is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2485*b**2 + 336409*b - 336409*b)*(6*b - 111 + 111) to z + w*b**3 + r*b + n*b**2 and give w.\nAnswer: -14910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*b + 39329 = 579*b + 29579 - 49908 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 957*k**5 + 17509*k**3 - 23092758*k**2 wrt k.\nAnswer: 57420*k**2 + 105054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/10*5\/(-2). Solve -3*b = 4*r - 7, z*b = 4*b + 5*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173565035 and 1660?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2595.9.\nAnswer: 519.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5705*-3.\nAnswer: -17115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -72053 (base 9) in base 16?\nAnswer: -b949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(8\/6)*(-40)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3143 - -3202. Solve -26*u + 66 = -o*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + p + 323609, 0 = 14*p - 13*p - 5. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18)*(-24)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20579 times 0.1\nAnswer: -2057.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 - a. Let y(j) = -4*j**3 - 10*j**2 - 5*j. Calculate 5*b(r) - y(r).\nAnswer: -r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2031443204 - 102?\nAnswer: -2031443311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d + 15. Suppose x - 1 + 9 = 4*a, 5*x = -4*a + 32. Suppose -c - x = 3*i, 8*c - 22 = d*c - i. Calculate the greatest common factor of c and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 219?\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = n - 2*n - 5*w, -n = 4*w + 13. Let p = 136 - 133. Let s(t) = p*t - 5*t + n*t. Let g(v) = -10*v. Give s(g(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/5 + 3434663*f**2\/5 - f\/5 - 3434663\/5 = 0.\nAnswer: -3434663, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 31826*f\/7 + 857844\/7.\nAnswer: 2*(f - 15886)*(f - 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 96*f**3 + 126147*f**2 + 3940*f - 2624. Determine i(-1314).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 - 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 5. Let i be g(6). Let y = 14 + -14. Which is bigger: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1046\/5 + 48\/60. Suppose v = -4*p + i, -104 - 519 = -3*v - 5*p. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 25 = -2*d, -16*p - 19*p + 2*d = -30*p + 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.365 times 1\nAnswer: -2.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 713 + -28?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 785920 and 78592?\nAnswer: 785920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Let i(l) be the second derivative of 1\/12*l**4 + 0 + 0*l**3 - l + 0*l**2. Determine i(u(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Let u = -39 + 42. Find the first derivative of -2*q**u + 2*q**3 + 4 + 0*q**z - 4*q**4 wrt q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-24) - (-1 - 7 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163850.2000046 + -163853. Let g = j - -2.8. Round g to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12007 is divided by 2997?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, e: 1, p: 2}. What is prob of sequence penp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 - -52. Is k a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 451\/3 - 443\/3. Solve p*i - 4\/3*i**3 + 0 - 4\/3*i**2 = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 5*u**2 - 9*u + 4. Let x be m(2). Let p(v) be the third derivative of -v**6\/60 - v**5\/20 - v**4\/12 - v**3\/2 + 5*v**2. Give p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)\/(((f\/(f*f**(-18)))\/f)\/f))**(-19\/2) assuming f is positive.\nAnswer: f**(1577\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**3\/3 + 41. Let s(w) = 58*w. Determine s(z(m)).\nAnswer: 116*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 3*r**4\/4 - 7*r**3\/6 + 7*r**2 - 9*r. Calculate the smallest common multiple of u(2) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -3\/5 (c) -2\/19 (d) -39\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-3))\/(-1))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - -24 - (-137 + 166)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:40 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - h - 2)*(168 + 195 + 852) + 0*h + 4 - 2*h - 3 as z + d*h and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kakazxxaqa. What is prob of sequence xqz?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25884 in 0.1, -1, 5, 0.3, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-428)\/10)\/(72\/(-40)). Let s = d + -24. What is the second biggest value in s, -3, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 558641, 1117275, 1675897, 2234501, 2793081, 3351631, 3910145, 4468617?\n\"Answer: -t**3 + 558641*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27893296.37000037 - 27893296. Let f = -0.14 + 0.51. Let p = f - l. What is p rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5918515 and 67430.\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/2)*(w*w*w*(w\/(w*w\/(w**(-5)\/w)))\/w*w)\/w*w)\/(w\/(w\/(w**5*w))*w**4*w*w))\/((w**1)**32\/((w\/w**2)\/((w\/w**(2\/9))\/w))) assuming w is positive.\nAnswer: w**(-905\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 100483 (base 9) to base 2\nAnswer: 1110100000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 21*r**2 + 152*r + 79. What is the tens digit of q(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4 and -19\/318378.\nAnswer: 636756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -32 - 122*b - 1 + 168*b. List the prime factors of h(9).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-183)\/(-2) - 0) + 42\/(-28). What is the greatest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 9*k - 6. List the prime factors of p(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8 and (-1)\/(-4) - (-900)\/(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*m + 141*m + 151*m + 19 + 136*m.\nAnswer: m + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3}. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 676\/78 - (-2)\/(-3)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22311.56 + 22231. What is o rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2139, -4276, -6413?\n\"Answer: -2137*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 423768 and 2754492?\nAnswer: 5508984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + (41 - 33) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.9998 litres in millilitres?\nAnswer: 36999.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 1199*v**3 + 1197*v**3 - 3*v + 5*v to the form u + p*v + m*v**2 + a*v**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*20\/30*(-12)\/(-80).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6942570.02 rounded to the nearest 1000?\nAnswer: -6943000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -12. Let h(j) = 40 + 4*j**2 - 6473*j + 6493*j - j**3 - 21*j**2. Let n be h(-18). Sort o, -10, n.\nAnswer: -10, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y**20)*y*y)*y\/(y*y**(7\/3)) assuming y is positive.\nAnswer: y**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**8\/28 + h**4\/24 + 14*h**2 + 28*h. Let z(p) be the first derivative of a(p). What is the second derivative of z(x) wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 + 65 = 4*j. Let i = j - -56. Let m be ((-3)\/((-42)\/i))\/((-50)\/175). Does m = 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 619847.8l to millilitres.\nAnswer: 619847800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 8*m**2 + 7*m - 8. Let x be i(6). Let w = 60 + x. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -21*l**4\/4 + 2*l. Let f(a) be the second derivative of -a**3\/6 + 1894*a. Determine f(t(v)).\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:39 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnwwwaaaannaaafnwj. Give prob of picking 1 w, 2 f, and 1 a.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2290, 4185, 6080, 7975, 9870, 11765?\nAnswer: 13660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/3 - 484*j\/3 + 27166\/3 = 0. Calculate j.\nAnswer: -289, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 + 2 = 0. Suppose -1 = -2*q + 3. Factor -4*v**4 - 2*v - v**2 + 0*v**5 + q*v**5 + 5*v**u.\nAnswer: 2*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3)\/x**(-4\/3))\/(x*x**(-2\/9))**(1\/20))**(-22\/7))**(3\/4) assuming x is positive.\nAnswer: x**(3377\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 630997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 2*x + 10 = -15*r, 2*r - 4*x = -32 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1 = -y, -3*y + 2*y + 5*d + 34 = 0. Let v = y - 6. Suppose -v*x = -17 - 7. What is the highest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*f + 39 = 0, -h = -6*h - 5*f - 75. Let k be (-8)\/h + (-4)\/(-3). Suppose k*a + 0*a - 38 = 0. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10739293 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82370 is divided by 1175.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 56*n - 50. What is the tens digit of y(32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3668?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5169 in decreasing order.\nAnswer: 5, -1, -5169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -6017 and -5955 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(4) + 1*sqrt(196)))\/((-2*sqrt(30))\/sqrt(10) - ((sqrt(36)\/sqrt(4))\/sqrt(3) + sqrt(3))) + -5.\nAnswer: -5 - sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3 + -2 - -137 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 243*v - 247*v + 41, -5 = -5*v + 3*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17044 + 18473. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcw when three letters picked without replacement from lsmmmsckskkslwl.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5318 = w - 1375, -5*h + w + 9865 = 0. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofooof. Give prob of picking 3 o and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1, -4, 15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2*l = 42, 3*l + 46 = -22*i + 21*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -15, -25, -43, -75, -127?\n\"Answer: -a**3 + 5*a**2 - 16*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2317958 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 5. Let z = -4.64 - g. What is z rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-9) + (-4)\/6. Let o be (-9)\/6*236\/t. Suppose -3*l - o = -6*l + 4*b, -3*l = b - 113. What is the greatest common divisor of 95 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 700 and 1824130?\nAnswer: 18241300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 1486317?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30608698 and 5.\nAnswer: 30608703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*y - 52 - 32, -114 = -2*y - 4*w. Suppose 0 = 9*c - y + 2. Suppose 2*a - 24 + 9 = -5*n, -5 = -2*a + c*n. Put 3, 0, a, -2 in decreasing order.\nAnswer: a, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.2 + 1.7. What is the nearest to -1 in b, 0.2, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 3*h + 3. Let w(n) be the second derivative of -2*n + 1\/12*n**4 + 1\/3*n**3 + n**2 + 0. Let z = 2 + 2. Determine z*v(g) - 6*w(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21 - ((-50)\/(-70) - -1)) + 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25674766 is divided by 377570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21\/105*20\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 64*o**2 - 1 + 3*o**2.\nAnswer: -61*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -232*x**2 + 10*x - 3. Let w(v) = -233*v**2 + 12*v - 4. Determine 6*t(p) - 5*w(p).\nAnswer: -227*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 20. Is 3 a factor of p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 218108 = -4*z, -3*z + 3*h + 163557 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let x(l) = -14*l. Let i(r) = 3*r. Let s(b) = 21*i(b) + 4*x(b). Let q(c) = -3*c. Let o(w) = -5*q(w) - 2*s(w). Calculate k(o(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + k + 61. Calculate d(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8028 = -8*u + 15556. What are the prime factors of u?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 29 - 21 = 0. Let r(b) = a*b**2 - 107 - 110 - 4*b**2 + 217. Let o(t) = -94*t. What is r(o(w))?\nAnswer: 8836*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 0.4 (c) 0.5 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 25142966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7614 - -11119. List the prime factors of y.\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 14*u**2 - 32*u + 12. What is the tens digit of k(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 289 + -289.82. What is c rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 3 - 3)*(3*l - l - 3*l) - 2*l**3 - 2*l**3 + 6*l**3 + 0*l**3 + 2*l**3 - 3*l**3 + (24 - 6*l**2 - 24)*(l + 2*l - l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 361*l - 358*l + 27, l - 3*t = -14. Sort 10, -96, l.\nAnswer: -96, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-7) - (7 + 4)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1587.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:32 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-650)\/10 + (-1*4)\/2. Calculate the remainder when 0 + -1 + 3\/((-3)\/z) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 370 and -0.0691.\nAnswer: -25.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -59.3937 - -0.021\nAnswer: -59.3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let s(o) be the second derivative of 11*o**4\/12 + 12*o. Determine s(x(z)).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-2*k + 4 - 4)*(-k**3 - k**3 + 5*k**3) - 10*k**2 - 8*k**2 - 13*k**4 + 19*k**4.\nAnswer: 12*k**4 - 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microsecond in nanoseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 18 (c) 39\/85 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -583445 + 51?\nAnswer: -583384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436 + -431. Suppose -w*j = 2*q + q - 15314, -5*j = -4*q - 15293. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15039.2 from -46240.\nAnswer: -31200.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, -100, -66 in decreasing order.\nAnswer: 5, -26, -66, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 20*i. Let q = 19 - -9. Suppose 2 + q = 5*n. Let p(a) = -9*a - 11. Let x(f) = -5*f - 6. Let s(d) = n*p(d) - 11*x(d). Calculate s(t(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 256 (b) -3 (c) -0.164 (d) -5 (e) 5 (f) -2\/3 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882849355.\nAnswer: 5, 17, 53, 195971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2656 and 311648?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -57, -7, -3451?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-162))\/(-4) + (-3 - (-860)\/(-45)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -18*d + 2264. Let b be x(104). What is the highest common factor of b and 735?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17459, 17457, 17459, 17465, 17475, 17489, 17507?\nAnswer: 17529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 58*d + 345. Let f be i(-34). Solve -f*k - 5 = -6*k + t, -11 = 5*k + 4*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 3. Let j be y(-7). Suppose 5*b - j*p = 40, p + 22 - 1 = 4*b. Solve -4*v = -3*a + 5*a + 2, b*a - 3*v = 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)*q*q\/(q\/q**(-5))*q assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000256832 to six decimal places.\nAnswer: 0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.738333 and 0.15.\nAnswer: 0.888333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002253262 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12930 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v + 1. Let y(x) = 4*x - 1. What is 2*a(w) + 5*y(w)?\nAnswer: 6*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11586\/(-12))\/(1\/(-60)).\nAnswer: 2, 3, 5, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 53 - 1 - (15 + (-42 - -21)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:53 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*g - 78. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 y when three letters picked without replacement from {j: 1, s: 1, v: 1, y: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1659 = -10*t - 11*t. Let a = t - -84. Solve 5*y - 36 + 1 = -2*s, a*s + 5*y - 50 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 7*r**2 - 4*r - 18. Determine m(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21822094 and 13437250.\nAnswer: 2727761750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/854 and -1\/22.\nAnswer: 9394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 4, -10, -34?\n\"Answer: -5*u**2 + 11*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (146\/(-112) - 30\/(-21))*48?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*g - 5*x - 20 = -307*g, -4*g = -3*x - 19 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2\/69263, -280\/13?\nAnswer: 2\/69263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**2*f**4 - 1603*b**2*f**2 + b*f**2 - 175*f**4 - 2*f**3 - 4*f**2 wrt f?\nAnswer: 168*b**2*f - 4200*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121666275 and 411?\nAnswer: 121666275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 - 640*x**2 - 408*x - 4325. Give j(214).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8)*(-9472)\/(-192). Factor 9*z**2 + 7*z**2 + 10*z - z**3 + n*z**3 + 16*z**4 + 16*z**2 + 2*z**5.\nAnswer: 2*z*(z + 1)**3*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**29)**(-3)\/(f**(-9)\/((f*f*f**(-26\/9)*f*f)\/f)) assuming f is positive.\nAnswer: f**(-701\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29 - 30 - 2*-2 - 3. Solve 2*p = -h*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57.9 + -60. Let j = -0.9 - y. Let b = 0.6 - 2.6. Put 1\/4, b, j in ascending order.\nAnswer: b, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/29238 and 33\/34.\nAnswer: 497046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/15*5)\/(-122). Is x at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*t + 108, 5*t - 23 - 46 = -2*w. Suppose 5*h - w = -r + 19, -h + 5 = r. What is the lowest common multiple of 31 and h?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + 1.3. Let y = 0.2 - m. Suppose -11 = 3*v - z, 4*v - 3*z = 5*v + 17. What is the smallest value in y, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -820?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*x - 31*x - 11. Suppose 2*d - x = d. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 3*b - 9. Give w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 4, f: 5, b: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3368866.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -5*b**3\/6 - 60*b. Let f(h) = -15*h. Calculate f(t(r)).\nAnswer: 75*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**3 + 2*g**2 - g + 1. Let x(f) = 7*f**3 - 3*f**2 + 2*f - 1. Give 5*c(z) + 3*x(z).\nAnswer: z**3 + z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -2, -5, -3 in descending order.\nAnswer: -2, -3, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -486\/17, 116\/7, 5, -1 in descending order.\nAnswer: 116\/7, 5, -1, -486\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-12)\/(-8) + 134\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 6.8?\nAnswer: -2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.87243 to zero decimal places.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3*k**3 + 8*k**3 - 3*k**3 - k**3 + 1. What is h(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + -4 + (-7 - -14). Is 210760\/48 - o\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.44 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y**2 - 4*y. Let u be l(3). Suppose 1270*v - 1273*v = -f + 252, 0 = -5*f - 2*v + 1192. What is the greatest common factor of f and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 4, z: 3}. Give prob of sequence owwz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + -3 + -1*sqrt(1900) + ((1*sqrt(1900) - sqrt(1900)) + sqrt(1900))*6 + -3 + 0.\nAnswer: -14 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 470499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 97690.2 milliseconds in nanoseconds?\nAnswer: 97690200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(6075\/(-54)))\/(40\/(-1350))\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81252070.\nAnswer: 2, 5, 8125207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10 - (2 - 17 - -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:21 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123992803.\nAnswer: 11, 19, 383, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/10 + 2\/(-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r. Let l(f) = 5*f**2 - 258092*f. Give l(q(o)).\nAnswer: 80*o**2 - 1032368*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*j - 113*j + 0*c + 3*c = -25, 5*j - c + 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 9*a + a)*(1 + 1 + 0)*(-5*a**3 + 0*a**3 + 3*a**3) to n*a**3 + s + b*a**4 + u*a + f*a**2 and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691142124.\nAnswer: 2, 3, 199, 289423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 222*d**2 - 4067*d - 18912. What is n(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -119?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 664 = -0*n - 2*n, 3*n + 1105 = 5*s. 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 36 minutes before 3:57 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -36, -0.2, 7, 4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 25*g. Let b(n) = -8*n**2 + 6*n + 6. Let s(a) = a**2 - a - 1. Let d(c) = -b(c) - 6*s(c). Calculate m(d(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/(-110) + 50430\/100 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 139 (b) 110 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 2. Give p(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4359299 is divided by 130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 7*q + 3. Determine w(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1510915?\nAnswer: 9065490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w + 2. Let x be v(-4). Let r be (-9)\/(-27) - x\/(-6). Is (-9)\/r*(-154)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18271032 divided by 628?\nAnswer: -29094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -414*f**2 + 223*f**2 + 675*f + 192*f**2 in the form w*f + s*f**2 + k and give w.\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1115 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h - 4. Let y be (-10)\/(-6) + (-2)\/3. Suppose -d - y = -4. Suppose -o = d - 0. Calculate g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -378185\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*h - 34, 4*b = -2*h + 4*h + 118. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -724 + 728. Let x(o) be the third derivative of 0*o**r + 0 + 0*o - 9*o**2 - 1\/20*o**6 + 1\/45*o**5 + 0*o**3. Suppose x(b) = 0. Calculate b.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9*x = -13*x + 71, 2*d = -5*x + 127. Calculate the smallest common multiple of 170 and d.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = 2*g, 2*b = -8 + 14. Let v be 2 + 4\/(3 + -1). Suppose -3*j - 7*j + 120 = 0. Solve -k + 5*k = -5*s - 12, g*s + v*k + j = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3033983*p + 134*p**2 - 3033983*p.\nAnswer: 134*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a4 (base 13) to base 7.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 958500 and 19000?\nAnswer: 36423000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Suppose 0 = -5*c - 5, -4*t = 5*c + 5 + 12. Let h be t*527*4\/(-12). Let f(g) = -4*g**2 + 527 - h. What is f(o(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -n + 77, -4*n = -3*a + 4*a + 17. Let v(u) = -u**3 - 23*u**2 + 43*u + 28. What is the units digit of v(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 9. Let l be b(-6). Let c(u) = 2*u + 2. Let m be c(-4). Let q be ((-2)\/m)\/(5\/75). Solve -l*a = q*f - 11, 3*f - 4*a = -0*a - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279c2 (base 15) to base 4.\nAnswer: 133001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 526475 + 1?\nAnswer: 526476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -11*p**2 + 2. Let g(c) = -11*c**2 + 11*c + 37. Let r(j) = 5*j**2 - 6*j - 20. Let m(q) = 6*g(q) + 11*r(q). Calculate -4*m(z) + 3*v(z).\nAnswer: 11*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -7*x - 26, -19*o + 5*x + 10 = -24*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20932 + -20778. What is the remainder when 427 is divided by z?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g. Let i(s) = s**3 - s + 3. Let h be i(g). What are the prime factors of 4*(h\/3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -148 (c) 0 (d) 4 (e) 149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2. Let k be f(1). Let w = -48 - -52. Which is greater: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321033110 + 11130?\nAnswer: -1321021320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 496595317 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*h - 1085, 418 = 2*b + 15*h - 13*h. Calculate the remainder when b is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -2269 and 4038 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10001203 + 2?\nAnswer: 10001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71465, 285854, 643163, 1143386, 1786517, 2572550, 3501479?\n\"Answer: -m**3 + 71466*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - (-6 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8*h - 732. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 13*z**2 - 5*z + 11. Let o be w(-9). Suppose -4*q = -2*q - s - 755, q - s - o = 0. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/7, -0.316, -1 in increasing order.\nAnswer: -1, -0.316, -2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**6\/315 - 13*y**5\/210 + 11*y**4\/63 - 446*y. Factor f(a).\nAnswer: 2*a**2*(a - 11)*(a - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39\/16 - -337\/112. Put -0.26, -1\/2, x in ascending order.\nAnswer: -1\/2, -0.26, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 99\/7, -2, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 135 = 138*t - 146. Let y = 56\/75 + -2\/25. Let z = -0.03 + 4.03. What is the nearest to t in z, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 466, 926, 1386?\n\"Answer: 460*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170296, 165813, 158342, 147883, 134436?\nAnswer: 118001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*k - 43*k - 22*k)*(-4324*k - 6 + 4324*k - 8*k**2) as f*k**3 + t + b*k + n*k**2 and give b.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - i - 41 = 0, -i + 5*i - 4 = -l. Solve l = -3*w + 7*w - 4*o, -o = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1013*f + 1012*f - 21 = -5*i, -2*f = 3*i - 23. Calculate the highest common divisor of i and 14545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 21 = z, -14*z - 3*s = -16*z - 21. Solve -2*i = 5*x - 8*x - 6, z = -4*x - 4*i - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 11299004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 10 - (-7 + 4) - 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 63.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 714*o - 2*o**3.\nAnswer: -2*o**3 - 714*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182832 and 133536?\nAnswer: 39126048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 129.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 562097893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3149457 - 1236703. Let k be (6\/(-4) - 1)*-2. Suppose -t = -k*s + 6037246. What is s rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 11*q - 298. What is n(17)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 13*w**4\/24 - 5*w**3\/6 - 2*w**2. Let b(p) = -7*p + 3. Let d(o) = 11*b(o) + 6*g(o). Is 4 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 3*j**3 - 4*j**3 - 7*j**3 + 13*j**3.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqaqq. What is prob of picking 2 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 23. Let o be (-8)\/(-6)*54\/r. Let h(z) = z**3 + 9*z**2 + 8. List the prime factors of h(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let y(w) = w**2 + 11*w + 3. Let s be y(-11). Let c(f) = -3*f + 2 - 5 + s. What is c(a(j))?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*l**3 + 1 + 1 - 2 - 1.\nAnswer: -26*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iniz when four letters picked without replacement from iziuiuniiwuiziui.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 18*v - 161. List the prime factors of u(54).\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119144 and 40.\nAnswer: 595720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236 + 334. Suppose 0 = -4*k + a + 62. Calculate the greatest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -5251.24.\nAnswer: -5251.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 22f?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 137 (base 14) to base 3\nAnswer: 100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -16, 3 in descending order.\nAnswer: 5, 3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + sqrt(98) + 2)**2*1 + -5 + (2*sqrt(98) - sqrt(98)).\nAnswer: 63*sqrt(2) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - u**4 + 2*u**2 - 4*u**3 + 3*u + 5*u**3 in the form f*u**4 + g*u**2 + w*u**3 + n*u + j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-8)*l*((l*(l\/(l\/l**(-1)))\/l)\/l)\/l)\/(l**(-1\/6)*l\/(l**(-7)*l)) assuming l is positive.\nAnswer: l**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16491949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 781896*i - 781915*i - 418 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36102280007 + -827825280310533\/22930. Let h = v - 4\/2293. Find the common denominator of -33\/8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1, -1171, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.119 (c) -0.149738\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111965\/3364 + -28\/841. Sort -7, 2\/7, w in decreasing order.\nAnswer: w, 2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(320) + (sqrt(320)*2*-6 - sqrt(320)) - sqrt(320)))\/(sqrt(40)\/(-2*sqrt(10) + sqrt(10))*2*4).\nAnswer: -39*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -5, -27, 4.\nAnswer: -36, -27, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -121, -20\/17 in ascending order.\nAnswer: -121, -20\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 206825.87 * -2.\nAnswer: -413651.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(((s*s\/s**(-3\/2)*s*s)\/s)\/s*s*s))\/s)\/s**(2\/7))**(-10\/3) assuming s is positive.\nAnswer: s**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173053 is divided by 172284.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/8 - 1443*w**4\/4 + 2885*w**3\/8 = 0. What is w?\nAnswer: 0, 1, 2885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -81, -5342 in increasing order.\nAnswer: -5342, -81, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**6\/15 + 13*x**5\/10 - 8*x**4\/3 - 28*x**3\/3 - 900*x. Factor v(c).\nAnswer: 2*c*(c - 2)*(c + 1)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 110?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.46? (a) -5 (b) 0 (c) -2\/7 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(110))\/sqrt(10))**2 + sqrt(22)\/(-3*sqrt(98)).\nAnswer: -44 - sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 3}. Give prob of picking 3 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*0.0565072.\nAnswer: 0.05085648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -132096?\nAnswer: 132095.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-1818)*(-4)\/(-40). Let p = -16909\/1818 + j. Calculate the common denominator of -97\/4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * -4\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -b - 4*c + 54, -4*b + 165 = -5*c. Calculate the greatest common factor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14494 - -14840. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250530553 (base 6) in base 13?\nAnswer: cc1875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84174031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 29*f = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/6 - -2)*-2. Let x be 12 - -3 - (3 - 1). Let q be x\/7 + a\/(-7). Solve -q = 5*n - 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1773246, 1773247, 1773248, 1773249?\n\"Answer: t + 1773245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4838 and -0.4?\nAnswer: 1935.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 5 (c) -1047 (d) 8\/5 (e) -2\/7 (f) 2 (g) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 65351 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 - 70*m + 200 = 0 for m.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1198 + 1430. Calculate the greatest common factor of 522 and o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 159162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.97. Let u = h - -5.03. Which is the second biggest value? (a) u (b) -2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -217 - 373. What are the prime factors of h?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)\/(1\/2). Let n(u) = 602*u - 15042. Let t be n(25). Put w, t, 5 in decreasing order.\nAnswer: t, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2. Suppose 4*q + 170 = 178. Let d(o) = 630*o - 36*o**q - 315*o - 315*o. What is d(i(j))?\nAnswer: -576*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 580.82 + -574. Round u to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfazffomozz. What is prob of picking 1 m, 1 k, and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*j**2 + 688*j**2 - 1376*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 57, 137, 249, 393, 569?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -910435, -1822186, -2733937, -3645688?\nAnswer: -4557439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 88 - 123 = 0. Let f = 16 + -8. Is f not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 538*g + 5554. Give l(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/29))**(-42))**(-1\/19) assuming d is positive.\nAnswer: d**(1260\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (246 + 245 - 465 - 4*k)*(23 - 8 + 13)*(1 - k - 1).\nAnswer: 112*k**2 - 728*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78763189 is divided by 571.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106134*f**6 + 3*f**4 - f**3 + 16910901*f**2 wrt f.\nAnswer: 12736080*f**3 + 72*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 - 607*f - 272. Let o(m) = 15*m**2 - 1823*m - 831. Let k(q) = 21*j(q) - 6*o(q). Suppose k(c) = 0. What is c?\nAnswer: -2\/5, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + (25 - (-56 + 168)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 405, 410, 419, 432?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3353687037 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.44 + 0.44. Which is the smallest value? (a) -10 (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o - 4. Let t be r(3). Let m = t + 22. Solve a = m*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10577 is divided by 2729.\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 4. Let n(i) = -i + 1. Let p be n(7). What are the prime factors of d(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110111100 - -100?\nAnswer: 101111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 46*x - 13 = 47*x, 0 = -5*o - 3*x - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3985 - -2454. Calculate the remainder when u is divided by 161.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:32 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0275 and 2397.\nAnswer: -65.9175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -41. Let t be y\/3*(-114)\/(-95). Solve 0*x + 2*x = -t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((8\/(-6))\/4*3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657 = 10*h - 183. Let r be (-11)\/(66\/36) + h. Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.2 - 3.8. Let j = 19.9999938 + r. What is j rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 8. Suppose 2*s - 144 = -3*n, 0*n - 5*s = n - 61. Let h = 35 - n. Let f be j(h). Solve 4*k = -4*t + 4, -f*k + 6*k + 4*t = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.031029 + -0.031. Round d to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Let f(t) = 2*t + 49. Let h be f(-24). Let p(j) = -1 - 5*j**2 + 13*j**2 + h. Give i(p(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2177 (base 13) to base 12.\nAnswer: 2845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4)\/l)\/l*l**5)\/((l**(-1\/4)\/l)\/(l\/(l\/l**(-4\/7)))) assuming l is positive.\nAnswer: l**(19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1727 = -62*j - 1603. Suppose 8*d + 40 + 2\/5*d**j = 0. Calculate d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 474 - 886. Let r = -417 - d. What is the nearest to 2\/7 in r, -0.4, 1\/3, 3\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 25*t + 40. Let o be y(-1). Solve 19*d - o*d - 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 9192060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*s - 0*s - 200, -4*s + 106 = 2*l. Suppose 2*q + q - 27 = 0. Calculate the highest common factor of l and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/(-89*(-10)\/3115)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1677\/(-195))\/(-43))\/(1 - (-96)\/(-100)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:13 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, o: 5}. What is prob of picking 3 u?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 11*v**3 + 86*v**2 - 86*v**2.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = -4*m, 5*w - 2*m + 3*m = 15. What is the second derivative of -s - 3*s - 3*s**3 + 5*s**w wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + 699. Suppose 2*k + 391 = h, -2*h + l = -0*k - k. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(245)*1)**2 + 5).\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.863 + 0.563. Let p = b + 44. What is p rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*m + 5*w - 4, 4*w = -m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10615 less than -44585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0482731 in -78, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326145646?\nAnswer: 2, 7, 94724689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(640\/(-30)))\/(-6*3\/(-12)). Let l = 23.1 - 23. What is the biggest value in l, -5\/4, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8992*a*i**2*t + 2*a*i*t + 35*a*i + i**2*t**3 + 11*i*t**3 - 2*i wrt i.\nAnswer: 17984*a*t + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 14*a**2 + 15*a + 19. Let k be h(15). Let u = 44 - k. What is the remainder when 97 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131910 is divided by 11982.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, e: 15}. Give prob of sequence eke.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17000, 16998, 16994, 16988, 16980?\nAnswer: 16970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-680)*-4*1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i - 3. Let a be 8 - 4 - (i - 1). Suppose 4*x + 5*f = 3*x + 44, a*f = x - 89. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6293 - 514. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232122133 (base 4) in base 12?\nAnswer: 19987b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -178, -204, -226, -244, -258, -268, -274?\n\"Answer: 2*p**2 - 32*p - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 15*z**4\/8 - 23*z**2. Let p(b) = -b. Calculate t(p(h)).\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:49 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9884706539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + 2 - (-105 - -79 - (-18 - -2)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131380\/81 - -1622. Is u bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 2*c)*(-2*c + 2*c + 2*c**2) - 16*c**3 + 3*c**3 - 19*c**3 + (3*c - 5*c + 3*c)*(-3*c**2 + 3*c**2 + c**2).\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-465)\/(-3100)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*p + 5*c, -2*p + 11 - 13 = -2*c. Let s = 2 - 0. Solve p*x - 12 = -4*h, s*h - x = -2*h + 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k - 54*k = 5*z + 34, 0 = -k + 4*z + 2 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3498 - 0.8498. Sort -3643, g, 0.4 in increasing order.\nAnswer: -3643, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/15516 and 23\/22.\nAnswer: 170676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9)\/((-4)\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*14\/49*(-89 + -6)\/(-19).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, -1, -4, 5\/6, 1\/627 in increasing order.\nAnswer: -4, -1, 1\/627, 2\/9, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42230, 87268, 132306, 177344, 222382, 267420?\nAnswer: 312458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 10*h + 17. Let j be v(-7). Let n be 2\/(-2) - -1 - 1. Let x = n - j. Solve 5*y + 0*p + 4*p = -6, -2*y - x*p - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let n = 105417\/76 + -1387. Let i = -6\/19 + n. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p. Let t(c) = -8*c - 12. Let k(l) = 1. Let v(r) = 12*k(r) + t(r). Calculate g(v(h)).\nAnswer: 112*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816213, -1816211, -1816211, -1816213, -1816217, -1816223?\nAnswer: -1816231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23303322 (base 4) to base 10.\nAnswer: -48378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 26, 71, 142, 245?\n\"Answer: f**3 + 4*f**2 + 6*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -9*n - 140. Let k(m) = 7*m**2 + 20*m + 38 - 17*m**2 + 12*m**2. Is k(n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(2 - (-24)\/(-14)). Suppose -3*k = j - 10, -100 = -4*k - 2*j - 88. Find the first derivative of -k*r + 12 - 6*r + d*r + 14*r wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (5 + (-4 - 7) + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 minutes before 9:42 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4891368*-0.2.\nAnswer: -0.09782736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-7))\/((-130)\/728))\/(1\/(-10))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3538*q**2 + 7176*q**2 - 3607*q**2.\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - (-249)\/(-6))*42\/(-147). Sort 0, -1\/2, -0.1, q in ascending order.\nAnswer: -1\/2, -0.1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = -0*r. Let y = 46 + r. What is the greatest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {w: 7, n: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118878, 118886, 118894, 118902?\nAnswer: 118910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2159 + -1354. Suppose 7*t - 2*t = p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65969 - 172147. What is b rounded to the nearest one thousand?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 47 = 19*p. Suppose -600 = -5*s - 5*w, -5*s - p*w + 2*w = -609. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + ((-368)\/(-80) - 16) + (-8)\/2.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 140*i**3 - 980*i**2.\nAnswer: -5*i**2*(i + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**2 + 13*k**2 + 5*k - 2*k**3 - 101 - 20*k**2 + 0*k**2 as z*k**2 + r*k + i + j*k**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*g**5 + 583985*g**4 + 691*g**2 + 7919*g wrt g?\nAnswer: 900*g**2 + 14015640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34705 + -34542. What is the remainder when 1807 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -1755?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8230*a + 11953*a + 349*a + 1792275 = 4947*a for a.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 12\/7, -2\/11, 2\/7, -0.5, 2 in decreasing order.\nAnswer: 2, 12\/7, 2\/7, -2\/11, -0.5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -14. Suppose 2*n - f = 4. Calculate the remainder when 13 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 12*k**2 - 3*k + 8. What is the units digit of o(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:11 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*2*6)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2876, 5219, 7030, 8309, 9056, 9271?\nAnswer: 8954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130823*x**2*y - 8*x**2 - 958683*x - 949*y with respect to y.\nAnswer: -130823*x**2 - 949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 42555*b - 3581050.\nAnswer: -5*(b - 8426)*(b - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -96\/31 (c) 0.03 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 + 2*y**2 - 2*y. Let o be ((-1)\/1)\/(1\/(-5)). Suppose -o*x = -5 - 5. Let r(a) = 10*a**3 + 11*a**2 - 11*a. Determine x*r(d) - 11*w(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2248\/2385 - 1\/530. Let d = 2460 + -59017\/24. Calculate the common denominator of d and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21224402 (base 5) to base 12.\nAnswer: -881a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwepppwwwwp.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(((-4)\/22)\/((-88)\/242)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416 = 193*q - 487*q - 2524 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*102.\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11257 + 221133?\nAnswer: 207654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 48, 99, 170, 261, 372?\n\"Answer: 10*g**2 + g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(12)\/sqrt(4)) - (1*sqrt(1372) - sqrt(1372)))\/(1*sqrt(64)*2).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86558 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1002005468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-52)\/6 - 0)*-6. Let s = b - 23. Suppose 5 - s = -3*p. Solve l - 3*l = p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s + 5*s - 13*s + 4)*(11*s**2 - 19 + 19).\nAnswer: 11*s**3 + 44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12747*q + 27 = 3*f + 12750*q, 3*q = -4*f + 31 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 4*k + 16. Find the second derivative of -k*v + 0*v - v**5 + 5*v - 2*v**5 wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 3*c + 3. Let y be w(-2). Suppose -10 = -3*k - 2*f, k = f - 2*f + 5. Let x = 27 - 25. Sort y, x, k.\nAnswer: k, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -6 - 10. Is (-3 - -2)\/(i - (-1036)\/260) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 12 + 2)*(-11 - 11 - 45)*(0*m - 2*m + 3*m).\nAnswer: -1072*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115974.\nAnswer: 2, 3, 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -16\/5*x**5 - 54 - 8*x**2 + 16\/3*x**3 + 3*x**4 + 0*x + 2\/3*x**6. What is l in f(l) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 128024532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3346788643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -51, -59, -69, -81, -95, -111?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 446122442 a multiple of 955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z**4 + 0*z**2 + 1\/3*z**3 - 2 + 0*z + 2\/5*z**5. Find the third derivative of v(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 119128665?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**8\/2352 - a**7\/490 + a**5\/105 - 196*a**2. Factor b(w).\nAnswer: w**2*(w - 2)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 6*g**2 - g - 12. Let x be p(6). What is the lowest common multiple of (-4)\/x*3 - (-225)\/27 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32211460 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -48*z - 34. Let t(k) = 17*k + 12. Let w(a) = 6*p(a) + 17*t(a). Let i(x) = -23*x**2 + 57*x**2 + 52*x**2. What is i(w(b))?\nAnswer: 86*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*a + 991, -34*a + 30*a = -2*p - 1358. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -633\/520 - -6\/65. Calculate the common denominator of 7\/44 and p.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a - 2. Let x be m(2). Let n(b) = 0*b + b**2 + 0*b + 0*b + x + 2*b. Let s be n(-8). What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24493 (b) 1\/2 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.973 from -3116.2.\nAnswer: -3126.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from tfbbqbt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -51, -82, -115, -150?\n\"Answer: -a**2 - 26*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*q + 5*p, 0 = 2*p + 620 - 616. What is the second smallest value in q, -2\/19, -1.6, -1\/5, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1 (b) -0.3 (c) -3\/8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -b - 4*m, -22 = -4*b + 11*m - 8*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 37658325?\nAnswer: -4\/7531665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(1\/10)*r)\/r)\/r)**(-32))**29 assuming r is positive.\nAnswer: r**(4176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (92 - 4\/1) + -4. Let r be (-7 + -2)*(-4)\/6. Suppose r*o = 8*o - i. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.88 - 0.06. Let p = 847.76 - 847.56. What is the nearest to t in 5, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjyx. What is prob of picking 1 x and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j. Let c(n) = -5228*n. What is c(d(z))?\nAnswer: 41824*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1651.79373 rounded to the nearest 10?\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Suppose o = -3*z - p, 0 = o - 3*z - 2*z - 4. Which is smaller: 1\/6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75259 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/sqrt(3) + sqrt(28))*-4)\/sqrt(4))**2 + 2*sqrt(175) + -1.\nAnswer: 10*sqrt(7) + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152211 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30.15 + 30.15. What is the closest to 2 in o, -1, 3, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t*t*t**(-2\/27))**16\/((t\/(t\/((t\/(((t*t*t\/(t\/t**(-2\/3)))\/t*t)\/t))\/t)))**(-2\/57)*(t\/t**(-2))**(-2\/95)) assuming t is positive.\nAnswer: t**(-290188\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 + 518 = 165*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.5931105 * 0.21\nAnswer: -0.334553205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 70, -1, -4, -21, -2, -2.85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 142 (b) 0.5 (c) -4291\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1 + 3*i - 3*i - 7 + i. Let t(u) = 1 + 5 - 5. Calculate -6*t(w) - x(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2916 and 14?\nAnswer: 20412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 775168 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 693 + (19\/7 - (-12)\/42). Suppose 0 = 2*w + 2*v - y, 0*v = 4*w - 4*v - 1376. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 4*r**3 - r**3 - r**3 - r**2 - 17*r in the form j*r**2 + d*r**3 + a + t*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*n - 3, d + 1 = 3*d + n. Suppose 3 = 6*k - 9*k. Let s be -2 + -5 - -6 - (k + d). Solve 0 = -2*y - f + 4 + 5, 5*y - 2*f - 18 = s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 42185648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 3. Let a be d(7). Let t be (24\/15)\/(a\/10). What is the third derivative of -m**5 - 4*m**5 + t*m**5 - 2*m**2 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 734437766 to the nearest integer?\nAnswer: 27101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29596179 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*m - 4, 31 + 5 = 4*m - 5*r. What are the prime factors of m\/(-1) + -8 + 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 3*j**2 + j - 2. Let q = -4014 + 4017. Let h(l) = -3*l**3 + 5*l**2 - 2*l + 3. What is q*h(w) + 5*x(w)?\nAnswer: w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*s + 93 - 269. What is the remainder when 41 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106\/945 + -4\/189. Let a = 35 - 210. Let g = a - -171. What is the biggest value in q, -0.4, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-6)\/4)\/(100\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 71316, -3\/7, 1\/6, -3 in decreasing order.\nAnswer: 71316, 1, 1\/6, -3\/7, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 3221735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 641584 to the power of 1\/2, to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/3 - 1*2. Suppose 0 = 5*s - 275*g + 278*g + 4, 5*g = 2*s - 17. What is the second biggest value in c, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g**2 + g. Let l(h) = 12*h**3 + 2*h**2 - 2*h. What is 3*l(p) + 6*v(p)?\nAnswer: 42*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4337611342 to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2 - 2)*8. Let u = 6 + q. Suppose 0 = -5*h - u - 8. Let m(n) = -n**2 - n + 2. Give m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110334 + 10003?\nAnswer: -100331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 105, 181?\n\"Answer: 76*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) 1 (c) -0.5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/60 - 7*u**4\/24 + u**3\/6 + u**2. Let l be i(6). Sort l, 0, 3 in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 15*d - 294. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58\/20061863 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aapa when four letters picked without replacement from paataaaaiaiaaiiaaaai?\nAnswer: 143\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 not equal to 147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.17 - 65.17. Let a = -62 - n. Is a greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + (-68)\/(-16))\/(2\/8). Suppose 0 = u + 2*p + g, 4*u - 2*p + 10 = 8*u. What is the remainder when 23 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 6. Let v be x(-5). Let t = -152\/305 + 6\/61. Which is the nearest to t? (a) -2\/5 (b) -1\/10 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and -14256941.\nAnswer: -513249876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -931430850 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*-2 - sqrt(39))\/sqrt(3) + -2.\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 - 154 = -87*r. Put 1.666, 1\/4, r, 0.3 in increasing order.\nAnswer: r, 1\/4, 0.3, 1.666","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 42*s**5 + 83*s**4 + 32*s**3 - 18*s**2 - 10*s - 1 = 0.\nAnswer: -1, -1\/3, -1\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(4\/9)*y*y**(-2)*y*(y**(2\/3))**(-3\/14))**32)**21 assuming y is positive.\nAnswer: y**(4640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + k - 235 = t, -4*k = 3*t - 229. Suppose 5*v = 4*m + t, v - 3*v = -m - 31. Let a be 52\/10 + (-3)\/v. Let f(o) = o**2 - 5*o - 2. What is f(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) -2\/5 (c) 0 (d) 4 (e) 96\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249737, 250684, 251631?\nAnswer: 252578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 452\/21 not equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 17*x + 1. What is the remainder when 54 is divided by p(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**3\/2 - 7*a**2\/2 - 10*a. Let s be c(3). Suppose 2*h + 5*q = 49, h + q + 21 = s*h. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + (2 - (2 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12934 rounded to the nearest 10?\nAnswer: -12930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-252))\/((-116)\/(-696)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**4\/24 + 11*r**2 - 3. Let z(p) be the first derivative of -3*p**2 + 432. Determine 12*i(h) + z(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.478495496 and -108216?\nAnswer: 108215.521504504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 + 14*u - u**2 - 18 - 12.\nAnswer: 19*u**2 + 14*u - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827 is divided by 589.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 291.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 522369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/40 - j**3\/2 + 2*j**2 + 2. Let q(t) be the second derivative of f(t). Find the first derivative of q(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114, 186, 258, 330?\n\"Answer: 72*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48269928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.30299 times 234\nAnswer: 538.89966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/(l**(-4)\/l*l))\/(l**(-1)\/l)**(-4) assuming l is positive.\nAnswer: l**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/20 + 2*y**4\/3 + 3*y**3\/2 + 2*y**2 - y - 524. Give l(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q + 3*t = 7, 2*t - 7 = -5*q. Let i = -74 + 73. What is the nearest to 1 in q, 0.3, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696665 is divided by 105?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*h - 72, -2*s + 36 = -3*h - 0. Let r(x) = 2*x**2 - 4*x - 15. Let a be 0\/(3 + -5) - (-2 - 3). Let f be r(a). Is f smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*o = -242750 + 1431956 + 2017096. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*u - 7790, 5*r + 1576 = -3*u + 9391. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -312640 <= -312642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63.2, 4, -4, -0.5, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.364918176 rounded to 2 decimal places?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -681 - 0.7\nAnswer: -681.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Suppose 0 = -5*x - 3*r - r + 18, -3*r = 2*x - 10. Let v = x + n. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86339780?\nAnswer: 2, 5, 4316989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12203782*z - 12203781*z - 22789 + 22789.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -36. Suppose 0 = -5*q - 4*x + 7*x - v, -2*x = 4*q - 8. Suppose u - 5 = 2*r, u + 3*r + 5 = -q*r. Solve -2*j = 3*h - j + u, j + 7 = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49039.\nAnswer: 19, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343, -342, -341, -340?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*q = -42, -1642*q + 117 = -5*x - 3294*q + 1646*q for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/(-10))\/((-12)\/(-1530))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 59*n**2 - 21*n + 38. What is the units digit of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 46 + 56. Suppose 3*g - 2*h = 180, -5*g - z*h + 313 = -h. Is g a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 (base 6) in base 12?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) -7 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22\/117, -0.1, 5222?\nAnswer: -22\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, -5, -41, 0, 8 in descending order.\nAnswer: 26, 8, 0, -2, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0.3, 1, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/9 (b) -0.06 (c) 0 (d) 0.085435\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108712822243.6 + 0.5.\nAnswer: -108712822243.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g*g**2)**17 assuming g is positive.\nAnswer: g**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 8*h + 11. What is f(-10)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301 and 3182?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21085*p - 21468*p + 41953*p + 7.\nAnswer: 41570*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17*1\/(-7) - (-6 + 3). Factor 2\/7*l**4 - c*l - 6\/7*l**2 + 0*l**3 + 0.\nAnswer: 2*l*(l - 2)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 2*m**4 - 2*m**4 + (m - m - 2*m**2)*(-m**2 + 2*m**2 + m**2).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -712937.7960721.\nAnswer: 712937.8960721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - x + 2. What is the smallest common multiple of m(5) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 - 6*x - 26. What is i(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -4*sqrt(180)*-2 + 3 + 1 + 1 + (-1 + -2 + sqrt(180))*-6 + -3)**2.\nAnswer: 720*sqrt(5) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microsecond in nanoseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -5*y**8\/56 - y**7\/6 - y**4\/12 + 28*y**3\/3 + 64*y - 1. Find the third derivative of k(d) wrt d.\nAnswer: -600*d**3 - 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1188 and 1716.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*m = -10*m - 12, 0 = -3*j - 2*m - 7. Let u be ((-9)\/12)\/(j\/(-4)). Let p = u - -5. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 378*n**2 + 4*n + 5. Let p be o(-3). Suppose 0 = 4*t - 1565 - p. Let q = t + -793. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 2*q - 73 + 69, 3*q = -5*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1358, 2582, 3840, 5132?\nAnswer: 6458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 4176\nAnswer: 33408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a kilogram in grams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 at most as big as 13122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 + 6*a**2 - 36*a + 50. What is k(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 4, j: 9}. What is prob of picking 1 u and 1 j?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*w - 18, 2*w - 23 - 10 = -5*s. Suppose 2*y + 2*y = -i + 20, -4*y = -w*i. Is (7\/2)\/(y\/408*3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 0)*4)**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 696184 divided by 17\nAnswer: 40952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/20 and 3\/270464.\nAnswer: 1352320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 87?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115 and -6.68?\nAnswer: 768.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 28\/(-5))*45\/(-18). Let t(o) = 15*o + 89. What is the tens digit of t(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13) + 2 + (sqrt(52)\/sqrt(4))**2*-6.\nAnswer: -76 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**8\/1176 - 53*g**7\/735 - 123*g**6\/70 - 666*g**5\/35 - 90*g**4 + 750*g**2 + 9. Factor b(w).\nAnswer: -2*w*(w + 6)**3*(w + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 19.1. Let k = -1.6 - o. What is the smallest value in k, 3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/((-7)\/42)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 45962.2.\nAnswer: 13788.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424 is divided by 240.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 35 = 4*q, -4*b - 20 = -q + b. Let w be (-2)\/q + (-48)\/(-30). Solve -t + 3*h = 17, 3*t = -w*h + 7*h - 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 10 + 5. Let n(b) = 39*b**2 - 7*b + 10. Let r be n(o). Suppose -5*d - 225 = -r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 911352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*16\/(-6). Let u(k) be the second derivative of -k**3\/3 + 9*k**2 + 11*k. Let w be u(8). Solve -w*o = -3*y + 4, 3 = 5*o + i*y + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -12. Solve v - f = 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (404 - 414) + 0 + 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/37? (a) -1 (b) 17 (c) -19 (d) 7\/5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1188 and -65\/1452.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14947 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 1846*n**4\/9 - 1907860*n**3\/9 - 2845322*n**2\/9 - 320152*n\/3 - 2760 = 0.\nAnswer: -1, -6\/13, -2\/71, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 5448\/38837 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wywxywggfwwggjxgw.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -0.588989.\nAnswer: -1.088989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*u + 356*u - 68*u - 66*u - 67*u - 71*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b5 (base 13) in base 4?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*m - 1 + 1 + 148*m in the form a*m + w and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623*n = 624*n - 5*x - 30, -18 = 5*n + 3*x. Let p(q) be the third derivative of 1\/12*q**5 - 10*q**2 + 5\/6*q**4 + 10\/3*q**3 + n + 0*q. Factor p(z).\nAnswer: 5*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z\/(z*z**(-1\/3)))*z)\/z*z)\/(z**(-4)\/z)*((z**(-1)*z*z)\/z)\/(z*z*z*z**6\/z) assuming z is positive.\nAnswer: z**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9825, 9824, 9823, 9822, 9821?\n\"Answer: -s + 9826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 61. Let k = b - -34. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48072?\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 19*o**2 - 399 + 133 + 136.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0002 and -3\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/126 - 11\/18. What is the second biggest value in -0.4, -3\/2, 0.3, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 438*d**3*m + 2*d*m - 2081*d - 44191115*m wrt d?\nAnswer: 1314*d**2*m + 2*m - 2081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 724, 1163, 1620, 2101, 2612, 3159?\nAnswer: 3748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-900)*-20)\/(156\/(-45)*(-12)\/8).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-168))\/(134\/(-4824)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and -5291.7092?\nAnswer: 5291.7692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 10 = -3*p + 10, i - 2*p = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939506.8 litres to millilitres.\nAnswer: 939506800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8158, 16323, 24488, 32653, 40818?\n\"Answer: 8165*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361566 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from zuuururzu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 20. Let r be t(-10). What is the second derivative of 6*x - 1 + 1 - 2*x + r*x**3 wrt x?\nAnswer: 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.51 - 1.884. Let h = 0.774 + f. Let k = -0.3 + 0.2. Sort h, 2\/9, k, 5 in decreasing order.\nAnswer: 5, h, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = -4*j + 18, 5*s + 30 = 4*j. Let u(t) = 2*t**2 + 2*t. Let c be u(s). Solve v = 5*v + c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2303)\/(-490) - (-5)\/((-100)\/(-6)). Solve 0 = -4*g + 4*p - 12, -d*g - 5 - 4 = -2*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*m + 3*p, 40*m - 35*m = -p - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6443647 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 a when four letters picked without replacement from azqwuzg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 + 9*l**2\/2 + 12*l + 6. What is the units digit of t(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((3*sqrt(99) - sqrt(99))*5 - sqrt(99))*-4)\/((sqrt(108)*-5)\/(sqrt(432) + 1*sqrt(432) + sqrt(432))).\nAnswer: 3888*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -r + 4*b, 5*r + 8 - 67 = 2*b. Let p = -25 - -27. Suppose -76 = -3*y + u + 6, p*y - 48 = 2*u. Calculate the remainder when y is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 47040\/1050 + 8\/(-10). Sort o, 2, 7 in descending order.\nAnswer: o, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u + 1. Let m be h(8). Let i = m + -89. Suppose -8*o - o + 297 = i. 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 the tens digit of 1429893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 12 = -8*o + 35, -6 = -q - 3*o. Solve q*i + 2 = 4*v - 3, i = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2457*v - 13581 = -716*v - 1394 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/(a\/((a\/(a\/a**(1\/4)))\/a))*a**(1\/6)\/(a*a*a\/(a**(4\/5)\/a)*a))**21 assuming a is positive.\nAnswer: a**(-749\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138*o + 180*o + 179*o + 4237*o)*(5*o**2 - 2*o**2 - 4*o**2) in the form f*o**3 + s*o + t*o**2 + p and give f.\nAnswer: -4458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t - 4*j = 12, 5*t + 3*j = 14. Suppose 0*r + t = r. Suppose 0 = r*v + 100 - 560. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -518 + 518.9. Which is the fourth smallest value? (a) 0.04 (b) 5 (c) p (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - (0 + -9)) + (54 - 8) + -7.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 times 19.965?\nAnswer: -155.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrinreneerrriynryiy. What is prob of picking 1 n and 1 r?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/5)\/((-12)\/(-90)). Let d = k - 11. Solve 4*x = -d*i + 2*i - 23, 3*x = 5*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3214848 divided by -2?\nAnswer: 1607424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + 2*c**3\/3 + c**2. Let a(j) be the first derivative of d(j). Let q(u) = -u. Calculate a(q(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -265*r - 1845. Give f(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-21\/2)*g*g**20\/g assuming g is positive.\nAnswer: g**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273554666013144 - -3.\nAnswer: 273554666013147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -23432?\nAnswer: -23442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3843 and 39\/61?\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.528 - -8.186. Let v = b + -15. Round v to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -58*n + 1. Let c be p(-1). What is the common denominator of 0 - (1 - c\/(-12)) and (6\/(-8))\/(9\/(-21))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -140, -141, -142, -143, -144, -145?\n\"Answer: -w - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*r**3*y - 11005*r**3 + r**2*y + 3*r**2 - 12606*r*y + 18*r + 2*y wrt r?\nAnswer: 252*y - 66030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1086 and 2820.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (789 - (-4 - -2)) + 1. Let r be 82122\/105 - 2\/(-7). Let a = w - r. Calculate the common denominator of a and -62\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 33*q**3 - 5*q**2 + 4*q + 8. Let z(o) = -o**3 - o**2 + o + 4. Determine -p(g) + 2*z(g).\nAnswer: -35*g**3 + 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -797863357\/690 - -1156324. Let y = -2\/345 - h. What is the closest to 0 in -4, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 14, 4, 3831, -2\/11, -3, -1?\nAnswer: 3831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139 and 139834.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -20*g + 36. Suppose -276 = -g*a + 48. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 73*g. Let h(u) be the third derivative of -u**5\/15 - 20*u**2 + 3. Give q(h(n)).\nAnswer: -292*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 27*i - 18*i - 130. Let h(d) = -52*d**3 - 26*d - 26. Let g(j) = -j**3 - j - 1. Determine i*g(a) + h(a).\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/13*4329\/(-1776)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**4\/6 - n**3\/6 + n**2 - 10*n. Let y be a(3). Suppose -3*v = -2*v - y. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*w = -6*w - 14, -g + 4*w = -5. Let t be 8\/2 + g - 1. Solve t = -4*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + 4. Let l = 28 - 7. Let f be 120\/l + 2\/7. What is the greatest common divisor of o and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3021 + 122101102?\nAnswer: 122110123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/841 + 1700\/7569. Let h = 0.02 + -0.52. Sort 2\/3, h, f in increasing order.\nAnswer: h, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205614?\nAnswer: 2, 3, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*l + 39384*l**4 - 39763*l**4 - 244*l wrt l?\nAnswer: -4548*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -565.\nAnswer: -565, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 12*s**2 - 16*s - 7. Let n be h(-12). Suppose -23 - 461 = 4*q. Let y = q + n. Calculate the greatest common divisor of 160 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 0.4, -3\/2, 4, 2, 37\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -506\/41439 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24113552 (base 6) in base 16?\nAnswer: b8acc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412009 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*g - 5*l - 68736 = -68394, 5 = -2*g + l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxx when three letters picked without replacement from {b: 2, x: 3, j: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58931\/66827 + -2\/3931. Let c be (-1)\/3 - 5\/3. Is c > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuclzcutu. What is prob of picking 1 l and 1 u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*u + 28*u**3 + 25*u)*(-15*u - 19*u + 8*u).\nAnswer: -728*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -45. Solve x + 10 = -v + h, 5*v - 5*x = -20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37095940 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -12 - (-5 - 0) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4225, -4226, -4227, -4228?\nAnswer: -4229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + p + 470, 1406 = 3*y - 0*p - 2*p. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 30*x**2 - 15*x - 30. Let s(p) = -p - 2. What is 5*g(m) - 75*s(m)?\nAnswer: 150*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.113 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 44666.02ng?\nAnswer: 0.00004466602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 1, 0, 1\/8, -0.6, -550?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 67. Let q be ((-120)\/(-50))\/(148\/925). Calculate j(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 + 16*s**3 + 18*s**2 - 36*s = 0 for s.\nAnswer: -6, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30246, -30259, -30272, -30285, -30298, -30311?\nAnswer: -30324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19848 and 219000.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 51184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(6*(sqrt(162) - sqrt(162)*3)*5 + (1 + sqrt(162))*-1 + 1))**2.\nAnswer: 5425218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83, 10, 157, 352, 589, 862?\n\"Answer: -o**3 + 33*o**2 + o - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 8*s**2 - 2*s - 12. Let i be u(-8). What is the first derivative of 3 + 5*t**4 - 4*t**4 + t**i wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/20694 and 87\/4.\nAnswer: 41388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Suppose 0 = 5*t + 14 + 16. Let h = t - -7. Is h <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 + 3*c**2 + 5*c + 1. Calculate the remainder when j(-2) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((2\/(-22))\/1). Suppose -4*o + y = -10. Let d = o + -1. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1157, 9960, 33823, 80276, 156849, 271072, 430475?\n\"Answer: 1255*n**3 + 18*n - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 0.24 in decreasing order.\nAnswer: 6, 1, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*d + 113*d - 3*d**3 - 38*d - 34*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 - (3 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let x(o) = -8*o - 75. Let v(c) = 16*c + 148. Let b(p) = 4*v(p) + 7*x(p). Let w be b(-9). What is the closest to 1 in w, l, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2911271 (base 10) to base 9.\nAnswer: -5426455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = 5*l. Suppose l*o - 166 = 18. Suppose -4*t = -4*h - h + 112, 0 = 4*h - 2*t - o. Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - 6\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.602 + -0.288. Let u = -0.11 + w. Suppose -1 - 4 = k - h, -6 = 2*k - h. What is the nearest to k in u, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2 = 2*u, -4*g - 3*u + 4 = u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -3 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + sqrt(180) + -5*sqrt(180)*-4)**2*-5.\nAnswer: -435600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-24)*9*4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h - 3. Suppose -2*c + 1 = 3*x - 7, -4*x = 3*c - 10. What is the remainder when r(c) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-10)*x**(1\/54))\/(((x*x\/(x*x\/x**(-2)*x*x))\/x)\/x)**(-28))**(5\/9) assuming x is positive.\nAnswer: x**(-48055\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -66. Suppose -2625 = -w*g - 10*g. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3388765 is divided by 89176.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 3\/((-36)\/24)*(-3*2 + -2).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8760 is divided by 87.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let q(t) = t**3 + t**2 - t + 1. Let v(f) be the third derivative of -f**6\/40 - f**5\/30 + f**4\/12 - f**3\/3 - f**2. Determine d*v(z) + 4*q(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g**2 - 3*g + 40 + g - 5*g + 4*g**2. Let j(u) = -23*u**2 - 22*u + 120. Let h(a) = -3*j(a) + 8*p(a). What is q in h(q) = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5536 and 672.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2986 divide 3816198291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 16 = 10*x. Which is the closest to -3? (a) -2 (b) 1\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o - 26 - 8*o + 2*o + 6*o. Does 3 divide f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/1022 and -41\/18.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - g**2 + g + 2. Let x be a(3). Let u = -26 - x. Suppose -6 = -2*j + 10. What is the highest common factor of u and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.7, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2671, -10843, -24517, -43693, -68371, -98551, -134233?\n\"Answer: -2751*z**2 + 81*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 605*w**3 - 805913020*w**2 - 293059340*w - 26641760.\nAnswer: 5*(w - 1332088)*(11*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 6. Let y be n(5). Suppose 0 = -4*h - y - 3. Let r(i) = -49*i - 1. Is 15 a factor of r(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/537052 and 77\/8592832.\nAnswer: 8592832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:06 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - 171. Let b = 278.23 + f. What is the closest to b in 2, 0.4, 1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -448, -450, -452, -454?\n\"Answer: -2*r - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 + 415 = 3*y. Let a = y - 1870\/7. Let d = 6 - 4. What is the fourth smallest value in d, 5, 4, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.950385 + 46504424\nAnswer: 46504423.049615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-18)*((-196)\/91)\/(-7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (187 - 140 - 170)*(-2*q + 3*q - 2*q) + 0*q + 104 - 99 + 6*q - 2 - 2*q + 0*q + 4 to r + i*q and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 11:25 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 542353507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73.12 or -10?\nAnswer: 73.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + 2*t**2 + 3*t**2 + t - 3*t + 42436*t**3 + 14*t**2 - 14 - 42434*t**3 as l + y*t**3 + d*t + w*t**4 + x*t**2 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.9 + 34.6. Which is the fourth biggest value? (a) g (b) 0.4 (c) -0.08 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 58, 265, 670, 1339, 2338, 3733?\nAnswer: 5590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9301 = 2*f + 57*u + 9177, -28 = -4*f - 4*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 534 times -0.0031245\nAnswer: -1.668483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 17 - 3*g**3 + 3*g**2 + g**3 + 14 + 23 to l + y*g + x*g**3 + o*g**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -484*p + 755*p - 7317 = 0 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**4 - 2*h**3 - 2 - 17*h - 2*h**4 + h**3 to the form m*h**4 + x*h**2 + u + z*h**3 + p*h and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 674*p**3 - 114905*p**2 + 448900*p.\nAnswer: -p*(p - 335)**2*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137469 + 197302. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 21*l**4\/4 - 71*l**3\/6 + 61*l**2 + 21. Let k(w) be the second derivative of y(w). Differentiate k(s) with respect to s.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613883, -1227739, -1841547, -2455301, -3068995, -3682623, -4296179?\nAnswer: -4909657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29253\/10 - 2930. Calculate the common denominator of z and -49\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291509035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-385)\/66))\/(-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 c, and 1 i when four letters picked without replacement from ecaooci?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3381 and ((-11)\/(-2))\/(((-9)\/6)\/((-57)\/19))?\nAnswer: 37191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -70.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2. Let v(h) = -h - 2. Suppose 0 = 5*k, 2*x - 5*k + 4*k = 4. Let i(t) = -5 - 2 + 10 + x*t. Let l(j) = 2*i(j) + 3*v(j). Calculate m(l(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1955 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.5, 0, 0.8, 1\/171?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/49)\/(3*(-28)\/98)*528\/(-60)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42647*h + 15 + 42639*h - 15 - 85284*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1153515 and 971749.\nAnswer: 160338585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9759 is divided by 696.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4265 - 55415\/13. Put 4, -0.2, -3, o in decreasing order.\nAnswer: 4, o, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/13? (a) -5 (b) 13 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -10)\/((-4)\/(-10)). Let q be (-1)\/((-9)\/(-6)*(-90)\/675). Solve -q*r + 4*k = -10*r + g, 0 = 3*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose -5*g - 4*w = -575, c*g = -2*g + 5*w + 575. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.59 - 97.21. Round h to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47*9.1.\nAnswer: -427.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 1\/24*p**4 - 1\/40*p**5 + 0*p + 1\/3*p**3 + 0 - 2*p**2. Let j(v) be the first derivative of q(v). Determine j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppt when three letters picked without replacement from {i: 1, w: 1, p: 2, z: 4, t: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - u**2 - 3*u**2)*(3 + 2*u + 1 - 6).\nAnswer: -2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4279 - -6209. Round r to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -1 + 38 + (-2 - (-15 - 5)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 3 - 2)*(h**3 + 0*h**3 - 5*h**3) as x*h + y*h**2 + l + a*h**3 and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -13278, -280 in decreasing order.\nAnswer: 5, -3, -280, -13278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33960.46 rounded to the nearest 10?\nAnswer: 33960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1647965*c**5*q**2 - 17*c*q**2 - 5*q**2 - 1488*q wrt c.\nAnswer: 32959300*c**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346 + 335. Let w be 31\/(-2) + 8 - d. Find k, given that 9\/2*k + w*k**3 + 15\/2*k**2 + 1\/2 = 0.\nAnswer: -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-3)*-9*(-6)\/(-18). Which is the second smallest value? (a) 0.1 (b) -171 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, b: 3}. What is prob of sequence ggbb?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 29. Let n be x(0). Let h = -27 + n. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20412 (base 10) to base 7\nAnswer: -113340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1073240 and 1502536.\nAnswer: 7512680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -10. Suppose 4*h + h - 135 = b. Suppose -5*t - 2*w + 0*w + h = 0, -w = 4. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15259170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - -538493?\nAnswer: 5384b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 5, -5*z + 40 = 3*a. Suppose -172 = -z*d + 38. Suppose -4*x = -d + 10. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.44523? (a) 4 (b) -0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -5 (c) 3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1484 - 1484 - 260*y**3)*(-5*y - 8*y + 12*y).\nAnswer: 260*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-104)\/(-884) + 32\/17. Sort 1, i, 61 in descending order.\nAnswer: 61, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7 = o, 5*a - o - 9 = a. What is the third derivative of -k**2 + 7*k**5 - 14*k**2 - 2*k + a*k wrt k?\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22168*x - 148 = -22205*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -6dc1aa?\nAnswer: -6dc1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, 4, 25, 1, -2\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 3. Let p(u) = -5*u + 2. Let y be 0*(-1)\/(-3) - -42. Let z = y + -45. Determine z*p(i) + 2*g(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**4*q**(-5\/2))\/((q\/q**(-2\/5)*q)\/(((q*(q*q**(-2\/5)*q*q)\/q)\/q)\/q*q)) assuming q is positive.\nAnswer: q**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - b = 11, -5*b + 6*b + 29 + 32 = -u + 5*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 3)\/(2\/27). Suppose f - v - 211 = 0, -47*f + 43*f + 5*v + 839 = 0. Calculate the greatest common factor of f and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6066.707 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010045 to 6 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = -0. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 5*d**2 + 4*d + 2. Let o be i(4). Suppose o*x = x + 4. Suppose -4*c + 16 = 5*m, 9 = -x*m - 5*c + 29. Solve m = -b - 0*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 5:11 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4\/3 - 745*a**3\/3 + 11345*a**2\/3 - 10595*a\/3 = 0 for a.\nAnswer: -163, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 4*g - 24*g = 0. Suppose 3*o - 2*w - 886 = g, 5*w - 597 = -4*o + 2*o. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80616427 or 80616426?\nAnswer: 80616426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 + (-5 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 1:00 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let v = 2 - y. Calculate the remainder when 1\/(-3) + 4\/3 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 30706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 3:30 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(4*j + 0*j - 3*j) - 10*j - 5 + 5 + (6 - 3 - 2)*(-1 - 9 + 1)*(-j + 0*j + 4*j) in the form s*j + w and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 2265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n, -3*s - 10 - 4 = -4*n. Suppose -5*z - q = 4*q - 45, s*z = 2*q + 10. Calculate the least common multiple of z and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine thirds of a hour in seconds?\nAnswer: 94800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*j - 12*j + 414. Let k = j + 111. Is -28 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:39 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-8 - (3 + -9)). Which is the nearest to -0.1? (a) -6 (b) -16 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Let c = 11 + -15. Let k be c\/(-28) + 8\/(-7). Sort 0, h, k.\nAnswer: k, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/11 (b) 3 (c) -3 (d) -20 (e) -3404 (f) -0.4 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465475611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 36*i - 11. Let l be v(2). Suppose -l = -3*g - 49. Suppose 4*p + 0 + g = 4*c, 0 = 2*c + 4*p - 32. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -1. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 6, 9, 2, -6, -5525?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -15722097.5 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7212)\/17952 + 9\/24. Let d = -1718\/1309 - s. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170912220 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 24582.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 12 = -2*g, -p - g - 18 = 0. Is (3641\/p)\/(2\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2308*z + 46 = -2285*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -31?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3244182 to four dps.\nAnswer: 0.3244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in 1\/17, 2\/3, 5, -3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08125 and 0.077009.\nAnswer: 0.158259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17784 - 17888. Sort p, -50, 3 in descending order.\nAnswer: 3, -50, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 4}. What is prob of sequence dd?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25625 is divided by 347?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5456 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2. Let o(u) = 14*u + 21. Give o(w(p)).\nAnswer: -42*p**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/3*(-78)\/91\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/11, 4\/3, -32?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmnvuee. What is prob of sequence uuum?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y - 2. Suppose -y*k = -5 - 1. Suppose -k*j + 3*j = 3. Solve -2*c = j*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 + 1 = 0. Suppose 8 = r - m, 0 = f*r + 2*m - m - 19. Which is bigger: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(28) + (sqrt(84)*2)\/sqrt(3) + 5*(sqrt(448))**2 + -1)*-5.\nAnswer: 180*sqrt(7) + 67170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1000110110100?\nAnswer: 1000110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -109*c**7\/21 - c**5\/4 - 812*c**4\/3 + 5458*c. Find the third derivative of j(k) wrt k.\nAnswer: -13080*k**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 39*g + 39*g - 2*g**3.\nAnswer: -2*g**3 + 69*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14628)\/(-7) - (-4)\/14. Let z be 1 - f\/535 - -3. Let c = z - -6293\/214. Find the common denominator of -97\/6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 1463*t + 7316\/5.\nAnswer: -(t - 7316)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16639\/8 - 2085. Let q be (-5)\/((-120)\/(-3566)) + 3. Let v = q - -434\/3. Calculate the common denominator of v and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*p + 277, 0 = -2*o - 4*p + 87 - 385. Let b = o + 41. Let r be b\/30 - 3\/5. Is -2 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-14))\/(6\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from agmkvgak.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (247\/4446)\/((-4)\/(-9))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*m - 3*m**2 - 33*m + 9*m - 12*m - 153 - 104*m = 0. Calculate m.\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4603875 and 44027.\nAnswer: 4647902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-198))\/(26\/(-143))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 6*g**2 - g)*(2*g + g + 0*g).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 1 + 3. Let q(f) = -5*f + o + f + f**3 - 4*f**2 - 8. Calculate q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966.6688l in millilitres?\nAnswer: 966668.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-45)\/(-18)*(-8)\/30*(-414)\/(-2622)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -661, 2\/3?\nAnswer: -661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/12558 and 59\/504.\nAnswer: 150696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -32. Let a(s) = -s**2 + 7*s + 12. Let d be a(8). Solve -5*i + d*v = -i + p, 2*i - 5*v + 35 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:12 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -871208.9909 - -871262. Let i = 53 - a. What is i rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/147)\/(12 + (-40530)\/3381) - 7\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 10*q**2 + 6*q**3 + 0*q**3 + 10 - 12*q**2 to the form b + p*q**3 + g*q**2 + t*q and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933498 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 27*x - 27. Let n be r(-26). Which is greater: n or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - f - 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*w**3 + 2364*l**2*w**2 + 25*l**2*w + 122*l**2 + 2*l*w**2 + 5*l*w - 2*l + 2*w wrt w?\nAnswer: 18*l**2*w + 4728*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.15, 0.5, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7527852 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-6)*2 + (-1602)\/(-9).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (13 + (1 - 2) - (-73 - -91))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*b + 24 = -6*b, -o + 33 = -4*b. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141536*b**3*j**3 - 9*b**3 + 3*b**2*j**2 - 3*b**2*j - 57*b*j**3 + 7635*b - 7*j**3 - j**2 wrt j.\nAnswer: 849216*b**3 - 342*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 36*r**3 - 4*r**2 - 35*r - 4. Let n(l) = -35*l**3 + 5*l**2 + 35*l + 5. Let t(s) = -4*n(s) - 5*u(s). Find the second derivative of t(k) wrt k.\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/2)\/(15\/(-40)). Let b = g - 8. Let k = 1 + b. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 14. Let c be y(-16). Calculate the greatest common divisor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**25\/(a**(-10)*a*a**(2\/17)) assuming a is positive.\nAnswer: a**(-19\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20\/8*(4 + -3)*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(14\/18 - 1). Let l = j + 55. Let q be (l - 5) + -5 + 1. Solve -q - 1 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:45 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10.4341 times -5\nAnswer: -52.1705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 + -3. Let b = 239\/5 + -48. Let c = 54 + -160\/3. What is the nearest to 0 in j, c, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/4 + 1847*j\/2 + 3411409\/4 = 0.\nAnswer: -1847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 158002344 a multiple of 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5\/4, -44, -11\/2, 0.2, -1\/9, -2\/27, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let f(g) be the third derivative of -11*g**5\/30 + g**3\/6 - 680*g**2. What is k(f(i))?\nAnswer: -22*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252672.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3105*f**2 - f + 3105*f**2 + 12*f**3 + 1 - 6216*f**2 to the form q*f**3 + i*f + u + p*f**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -846 - 15?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.9 - -19.9. Round d to 0 decimal places.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -13*u - 42. Does 18 divide l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.45 - -0.25. Let y = -2.9 + d. Let j = 1.8 + y. Which is the nearest to 0.1? (a) -2\/3 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5 - 0. Let n = -7 - -27. Suppose -r*t = -t + n. Put 6, t, -2 in increasing order.\nAnswer: t, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d**2 + 5*d + 5. Let w be l(-1). Let g be (-8)\/14*w\/(-30)*15. Find the third derivative of -2*q**5 - 133*q**6 + 131*q**g + 31*q**2 + 2*q**5 wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 50*s - 235. Solve 0 = -12*v + 7*v - s*j - 25, v + 4*j = -14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 - (4 - 13). Let u = o - 79\/8. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.53? (a) -21 (b) 1.053 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1245 and 18263311.\nAnswer: 18263310.8755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 3. Let p be c(8). Suppose p*f + 6 = -19. Let n(q) = -7*q + 7. Let a(i) = 0*i + 2 - i - 1. Calculate f*a(t) + n(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15667*z**2 + 18*z + 26. Does 200 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 359, 764, 1329, 2060?\nAnswer: 2963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/7 + 1268*v\/7 + 10400\/7.\nAnswer: -4*(v - 325)*(v + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 24. What are the prime factors of (-3)\/(-3) + 491 + 9 + x?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -873635 < -873635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5802288690 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/18, -10, -22\/27, -1?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(931)*-1 - sqrt(19)))**2 + 0 - 3*((sqrt(19) + sqrt(38)\/(sqrt(8)\/sqrt(4)))**2 + 5 + sqrt(19) + (sqrt(19) - (sqrt(19) + 1))).\nAnswer: 61*sqrt(19) + 992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53, 46, 45, 56, 85?\n\"Answer: a**3 - 3*a**2 - 5*a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*l - 64320 + 564192 = -2963*l - 1513*l for l.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from dddddddddwddd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375)*3 - sqrt(110)\/(sqrt(2)*1))\/(sqrt(5) + (sqrt(5) + 2*sqrt(80) + sqrt(80) + sqrt(80) - sqrt(5)) - (sqrt(5) + -1*sqrt(605) + sqrt(5))).\nAnswer: 7*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35082274 to the power of 1\/2, to the nearest integer?\nAnswer: 5923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 420*r + 4 - 215*r - 6 - 211*r. Give k(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/28)\/(3\/6*(41 - 40))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/49 (b) 827 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 36*o + 1674. What is the hundreds digit of x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 553, -4, -2, 1975 in descending order.\nAnswer: 1975, 553, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -246 - -256. Which is bigger: w or 1.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/9, 1, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11564 + -6127. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.156771 to two decimal places.\nAnswer: -5.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 38.\nAnswer: 40\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2580, -2592, -2600, -2604, -2604, -2600, -2592?\n\"Answer: 2*u**2 - 18*u - 2564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -843169?\nAnswer: -30\/843169","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2.8. Let q = h - -1. Let x = -13\/8 + 1\/8. What is the third smallest value in x, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*n - 0*n - 3*w, -4 = -2*n - 3*w. Let l(j) = -250*j + 6*j**3 - 9 - 17*j**2 + 109*j + 4*j**2 + 138*j. Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/4, -1, 6\/11, 2 in increasing order.\nAnswer: -1, -0.4, -1\/4, 6\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.81 + -30.81. Which is the third smallest value? (a) v (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.08993 times 0.4\nAnswer: 0.035972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*k - 6*k**3 + 129*k - 44*k - 40*k.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5199*a**2 - 11*a - 10346*a**2 + 5144*a**2 - 6*a.\nAnswer: -3*a**2 - 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4\/3 + 1216*v**3\/3 + 97088*v**2\/3 + 700928*v\/3 = 0.\nAnswer: -148, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*((6*sqrt(343)*2)**2 - (sqrt(343) + -2*sqrt(343)*2 - sqrt(343))**2)*2*3.\nAnswer: -2107392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 + 15*m**2 - 225*m\/2.\nAnswer: -m*(m - 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**5\/30 - v**3\/6 + 7*v**2. Let p(b) = 8*b**2 - b + 4. Let a(r) = r - 4. Let d be a(6). Calculate d*p(l) + 9*z(l).\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7806681us to milliseconds.\nAnswer: 0.0007806681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4 + 74694\/5192 - 14?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3009897?\nAnswer: 3, 11, 30403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 655617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/2 - 14*n**2 - 51*n\/2 - 7.\nAnswer: -(n + 2)*(n + 7)*(3*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:04 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -c - 2*c + 30, 6 = 2*c. Suppose 0 = 10*n - 3*n - a. Let l(t) = -17*t + 6. Let u(y) = -y + 1. Let w(k) = -l(k) + 5*u(k). Determine w(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 193 - 98 - 68 - 29*w with respect to w.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v - 1. Let z be i(0). Let n(w) = -7*w + 1. Determine n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -29*x - 571. Let i(u) = 53*u + 1138. Determine -11*f(m) - 6*i(m).\nAnswer: m - 547","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:08 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -150 (base 7) to base 8\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 20*j**3 - 2*j**2 + 0*j**2.\nAnswer: 16*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2. Let a be j(0). Suppose 4*c = 5*y + 1141, 2*c - 3*y - 572 = y. Suppose a = 13*v - 9*v - c. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/11)*n**(-1\/12)*n)**(9\/11)\/(n*n**(-6\/5)*(n*((((n*n*n**(-3\/7))\/n)\/n)\/n)\/n)\/n)**(-6\/13) assuming n is positive.\nAnswer: n**(61797\/220220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose 0*t - 2*n - 21 = -3*t, 5*t - 37 = z*n. Solve -t*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55947984227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 23 - 7 = 0. Let a be -2*50\/(-15)*j\/(-4). Solve 2*o = -2*o - 4*y + 20, -2*o + 2*y - a = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*v - 4786 + 30, 0 = -4*g + 5*v + 4711. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93434016, -186868042, -280302068, -373736094, -467170120, -560604146?\nAnswer: -654038172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*m = -6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 31780630*a**2 - 252502079018592*a - 505004285159712.\nAnswer: -(a - 15890316)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 - 46*s**2\/7 + 152*s\/7 - 104\/7.\nAnswer: -2*(s - 2)*(s - 1)*(s + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 9*a - 27*a. Solve a = -h - 5*h - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, 2, 0.21, 13, 0.1 in decreasing order.\nAnswer: 13, 2, 0.21, 0.1, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**2*r**2 + 4*n**2*r + 27*n*r**2 - 2*n + 2*r wrt n.\nAnswer: 12*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**9\/15120 - y**8\/2240 + y**7\/840 - y**6\/720 + y**4\/24 - y**2. Let a(c) be the second derivative of f(c). Factor a(q).\nAnswer: q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*h**2*p + 2*h*p**2 - 5*p**2 with respect to h.\nAnswer: 130*h*p + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 944*l**2 + 11*l + 7. Let n be v(-3). What is n rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 2:44 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3885 (base 12) in base 14?\nAnswer: -24bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-4)\/(-14) - 888\/(-518)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1.2.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 2345*l**3 - 2340*l**2.\nAnswer: -5*l**2*(l - 468)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-10))\/(1\/10). Suppose p*y + 27 = -8. Let u(m) = -2*m + 1. What is the remainder when 29 is divided by u(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-747)\/(-117) - 6)*(-6)\/(-15)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4, -1.11, 0.3?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -0.2. Let z = -11 + 8. Let s = -5 - z. Which is greater: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -179, -0.1, -28, -0.02, -2, 2\/7?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 13184498912.6?\nAnswer: -13184498901.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 337131092 and 1.\nAnswer: 337131092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 468, 574, 886, 1506, 2536?\n\"Answer: 17*a**3 + a**2 - 16*a + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00135092818 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -53. Suppose -7 = -4*k + k - 5*r, -2*k + 5*r = -x. What is the units digit of (-2 + k)\/(-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4703 - -5858. Calculate the highest common factor of a and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15467 times 0.04?\nAnswer: 618.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81692.2197 rounded to the nearest ten?\nAnswer: 81690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -592951.527 to the nearest 10.\nAnswer: -592950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5546, 25547, 58882, 105551?\n\"Answer: 6667*r**2 - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9326498 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 177*n - 4 + 32 - 16 - 1774*n)*(7*n**2 - 2*n**2 + 5*n**2).\nAnswer: -19510*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2227 to two dps.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3. Let s be i(-6). Let q(n) = 2*n**2 - 32*n + 79. Let o be q(13). Solve -s + o = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27027916033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -300, -369, -464?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*w = 132, -8*w - 194 = -5*p - 6*w. Calculate the remainder when p is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82.3 or 15106?\nAnswer: -82.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**4\/4 + 17*n**3\/3 - 8*n**2 + 20*n + 297. Determine c(-18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/12 + 4*q**3\/3 - 13*q**2\/2 + 34*q - 8. Determine p(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 693*j**2 + 5*j - 23. Let x be n(-6). Suppose 7*l - x = -6037. Suppose 3*w + 231 - l = -3*d, d = -5*w + 4105. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 17. Suppose -p = -5*r + 2. Suppose -2*n + 5 = 3*n. Solve -v - q - r = -2*v, v = -5*q - n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 21. Let j = o - -25. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o + 1. Suppose 0 = -3*r + 2*r - 1. What is m(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 9*g - 12. Let v be 56\/4 + (-4 - 0). Give k(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-175)*(-50)\/(-4))\/((-8)\/112). Put 0, 3, 5, k, -2 in increasing order.\nAnswer: k, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-130)*((-715)\/15)\/(-13)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222877660 a multiple of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/28)\/((-16)\/28).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3346561\/145 - 23080. Find the common denominator of 83\/4 and k.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597868 is divided by 538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21984605 divided by -4396921\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11732 by 13.\nAnswer: -11732\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2. Suppose 14*t + 6 = 17*t. Let k(z) = -5*z**t + 4*z**2 - z**2. Determine k(r(n)).\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 2. Let p(z) = -8*z - 6*z + 10*z - 3*z + 1. Let g(b) = 6*b. Let f(y) = -3*g(y) - 2*p(y). Give -6*f(j) + 5*l(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4 + 14216*k**3\/3 + 80708*k**2\/3 + 33256*k - 14250 = 0.\nAnswer: -3, 1\/3, 2375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -10\/127 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2. Let w(q) = 17762 + 1042*q**2 - 17762. Determine w(o(h)).\nAnswer: 1042*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, r: 1, j: 2, h: 4, n: 2, d: 3}. Give prob of picking 2 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -16*c + 26. Let a(o) = 49*o - 79. Let u(b) = 3*a(b) + 8*h(b). Let j be u(10). Let d = j + -68. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468414, -937099, -1405784, -1874469, -2343154?\nAnswer: -2811839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 360\/179, 0 in descending order.\nAnswer: 360\/179, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 17. Suppose 0 = 5*l - 8*l - 36. Let n be c(l). Let q = 15 - n. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*y + 6913 - 8247 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 28605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 144?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 23. Let j be v(6). Let a be (-5)\/(-2)*(0 + 2). Let x be (3*a\/(-30))\/(j\/(-62)). Calculate the greatest common factor of x and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7011*k**2 - 13584*k - 876.\nAnswer: 3*(k - 2)*(2337*k + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -4*m - 5*f, 5*m = -2*f - 2*f - 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 62*n - 479. What is y(9)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 360522951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -372.906 + 741.779. Let d = r + -0.873. Let h = d - 367.9999807. Round h to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 19935*f + 558172. What is b(-28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (0\/(-7 - -4) - 0). Which is the biggest value? (a) -2 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p. Let z(h) = -150*h + 150*h - 2*h**2. What is d(z(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/24*-1)\/(6\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33046890941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**4\/12 + 8*z**2. Let u(m) be the third derivative of -m**5\/20 + 7*m**2 + m. Give u(k(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325880?\nAnswer: 2, 5, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n**3 - 7*n**2 - 19*n - 61. Does 17 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/3 - (-1)\/(-3). What are the prime factors of 6270\/121 + t\/22?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117160, 1117162, 1117158, 1117148, 1117132, 1117110?\nAnswer: 1117082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 856119515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**6 + 113*g**4*s - 12*g**2 + 14*g*s wrt g.\nAnswer: -240*g**3 + 2712*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/48*0)\/3. Let g(l) be the third derivative of -2*l**2 + 8\/3*l**3 + b - 1\/10*l**5 + 0*l - 5\/6*l**4. Factor g(z).\nAnswer: -2*(z + 4)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*w = -80*w - 5*y + 6910, 3*w - 5*y - 4162 = 0. Is w a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 95 = -79 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.861 to 0 dps.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1539) - (sqrt(1539) + -5)) - (sqrt(2736) - (5 + sqrt(2736)))*1) + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -127*f + 4955. Let w be x(39). Let b(c) = -c**3 - 5*c**2 - 2*c - 5. Let m be b(-4). Sort w, 7, m.\nAnswer: m, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.9 and -0.371.\nAnswer: 2.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*p**4*x - 1423*p*x - 28556*x with respect to p.\nAnswer: -24*p**3*x - 1423*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*b - 321 = -0*b + 69. Solve 3*x - 27 = 2*r - 16, 0 = b*x + 4*r - 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -12*g**2 - 6*g**2 + 5 - 4*g + 24*g**2 - g**3. Let s be r(5). What is the highest common factor of 15 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 + 1\/4*h**4 + 2*h + 0*h**2 + 0*h**3. Let f(q) = -3*q**2. Calculate k(f(w)).\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*k + 96831, 20*y = 15*y - 4*k + 161340. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y - 4*y)*(0 + 2 + 0)*((2 + 0 - 1 + (-1 + 3 + 0)*(2 + 2 - 2) + 2 - 4 - 1)*(16 - 3 + 17) - 4 + 11 - 9).\nAnswer: -464*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374 at most as big as 175437\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacac. What is prob of sequence acc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5*v**2 + 851*a**3*v**2 + 218*a**2*v**2 + 14*v**2 + 2 wrt a.\nAnswer: -60*a**2*v**2 + 5106*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75317214, -75317223, -75317232, -75317241, -75317250, -75317259?\n\"Answer: -9*w - 75317205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 517 (base 8) to base 5\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 6241, 2\/3, 0.1, 2 in decreasing order.\nAnswer: 6241, 2, 2\/3, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3490)\/(-3141))\/(2\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130352, -130764, -131172, -131576, -131976, -132372?\nAnswer: -132764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2821 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, 8586, -18 in increasing order.\nAnswer: -18, -2, 26, 8586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -7*b**5\/20 + 8*b**3\/3 + 5*b**2. Differentiate z(h) wrt h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 47*y**2 + 25*y + 23. Let x be o(-24). Let i(a) = a**3 + a. Let b(v) = 8*v**3 + 16*v. What is x*b(s) + 16*i(s)?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1464 - 3101 + 1523 - 84*z**3 wrt z?\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - w = 1, q + 3*w - 3 - 14 = 0. Solve 7*c = q*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 - -4. Let q = -0.9 - d. Let y = 2617 - 2617. Which is the smallest value? (a) y (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x + 21*x + 8*x + 14*x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1374371.77?\nAnswer: 274874.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3 - 6. Let c be 5 - (1 + k + 2). What is the third derivative of -2*b**5 - 5*b - b**5 + c*b**2 + 5*b wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -329*q**2 - q + q - 319*q**2 - 8 + 792*q**2 as o*q**2 + t + r*q and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -645, -4, 68 in descending order.\nAnswer: 68, 3, -4, -645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-17)*i**21*i)\/(i**13)**(-1\/8) assuming i is positive.\nAnswer: i**(53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78032396069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 5. Let a(w) = -w**3 - 2*w**2 + 3*w + 1. What is the remainder when a(-4) is divided by (-68)\/(-6) - (-5)\/g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from oqsussqsqquusoul?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -e63e?\nAnswer: -e63e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146516716*h*o - 3*o - 16237604 wrt h?\nAnswer: 146516716*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(67*t - 350*t + 8*t) + (-4*t - 10*t + 2*t)*(-3 + 3 - 2) in the form k + q*t and give q.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Let j be -9 + 153\/(7 + 10). Let u(w) be the third derivative of -5\/12*w**4 + 0*w**3 + 0*w + j + 23*w**2. Give u(v(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*y**3 + 733*y - 423*y**3 + 198*y**3 - 733*y.\nAnswer: 119*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6044?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 10*z + 1. Determine j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*n - 3*f, -122*n + 118*n - 5*f = 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((7\/112*60)\/(-18)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 - 107.995. Let u = 5.505 - l. Let g = -0.5 + u. Which is the third smallest value? (a) 1\/4 (b) g (c) 3\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i + 170 = -5*v + 39*i, 7*v + 5*i + 251 = 2*i for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 3 + 3 - (sqrt(700)*1 + -1)) + 1)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 10*t**5 - 205*t**4 + 485*t**3 + 5785*t**2 + 7425*t + 2340 = 0?\nAnswer: -3, -1, -1\/2, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 10. Let p be o(5). Let a = p + 3. Let t = 3 + 0. Solve -d - t = -a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -123 (c) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1013, -2035, -3055, -4073, -5089, -6103, -7115?\n\"Answer: j**2 - 1025*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 41 (c) 3 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 301 and 473.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2 - 8900139*q + 8900142 = 0.\nAnswer: -2966714, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 37 = 22*n. Let o(s) be the first derivative of -1\/12*s**3 + 0*s - 4 + 1\/20*s**5 + 1\/16*s**4 - 1\/24*s**6 + 0*s**n. Determine w, given that o(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5606615*s**5 + 2427491*s**2 wrt s.\nAnswer: 336396900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 3605453?\nAnswer: 24\/3605453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 2*q - 4. Suppose 2*o - 12 = -2*o. Suppose 0 = -o*g - 5 + 11. What are the prime factors of a(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 278 + -133. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 10*i + 8. Let f be a(-6). Let x be (-17 + 2)*(-8)\/f. What is the third derivative of 60*h**3 + 2*h**2 - 30*h**3 - 30*h**3 + 11*h**x wrt h?\nAnswer: 1320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k + 5 - 5*k + 5*k**2 - 3*k. Calculate u(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*t*w*z - 5*l**2*w*z + l*t*z - 4*l*z**2 + 200*t*w*z**2 + w*z - z**2 wrt t?\nAnswer: -l**2*w*z + l*z + 200*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*d - 10*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217100 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93078914346*w**5 + 1302794279028*w**4 - 1400530675302*w**3 + 4662661480*w**2 - 5181472*w + 1920 = 0 for w.\nAnswer: -15, 4\/3597, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n + 5. What is j(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 39*s = -212. Let i(j) be the second derivative of 1\/12*j**s - 7*j + 0 + 0*j**2 + 0*j**3. Let b(r) = -31*r. Calculate b(i(m)).\nAnswer: -31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 8273271?\nAnswer: -8273269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700*-11.\nAnswer: 7700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 230650 (base 7) in base 6?\nAnswer: 514254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*l**6 + l**4 + 3*l**2 + 20 wrt l.\nAnswer: -9360*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -162, -459, -886, -1449, -2154?\nAnswer: -3007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1539\/297 - ((-171)\/(-33) - 5). Let x(p) = 6*p + 1. Let z(v) = 7*v + 14 + 20 - 32. What is a*x(n) - 4*z(n)?\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.51 + 0.54. Let i = u + -0.15. Let m = -0.37302 - -0.57302. Which is the closest to i? (a) m (b) 3 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -764 - -3071\/4. Suppose -21\/4*o**2 - 3\/4 + 3*o**5 + 3\/4*o**3 - u*o + 6*o**4 = 0. What is o?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/3 - 2206*s**4\/3 - 4450*s**3\/3 + 33158*s**2\/3 - 8800*s\/3 - 44200\/3 = 0.\nAnswer: -5, -1, 2, 1105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 5*r. Let n(i) = i**3 - 3*i**2 - i + 2. Let l be n(3). Let f(m) = -m**2 + m. Let o(x) = l*g(x) - 4*f(x). Factor o(w).\nAnswer: w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, s: 4, l: 1, b: 2}. What is prob of sequence lb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02868805015 to 5 dps.\nAnswer: -0.02869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - -475. What is the smallest common multiple of s and 14?\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let p(j) = 1200*j - 15755. Give p(m(d)).\nAnswer: 3600*d - 15755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = 154. Let n(y) = y**2 + 7*y + 9. Let i be n(-6). Suppose 22 = i*c - c. What is the greatest common divisor of k and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -2b?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.034 + 3.266. Let t = 0 + q. Let w = t - 3.29935. What is w rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 20*h - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(88))\/(sqrt(88)\/sqrt(2) - sqrt(11)) - ((-1*sqrt(8))**2*-4 + (sqrt(288) + -1)**2 + -4).\nAnswer: -253 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 0.57788?\nAnswer: -0.77788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/24*3\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 44. Suppose b*u - 1467 - 869 = 0. List the prime factors of u.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (8 + -1 + (0 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -4*o + 4, -17*o + 19*o = 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h**(-1\/2)*h)))\/h)**16*(h**(4\/7)\/h)\/(h\/h**(-6)*h*h) assuming h is positive.\nAnswer: h**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*c - 0*c. What is the derivative of n**4 - 4*n**c + 4 + 8*n**4 + 4 wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 63\/(-3 + 6). Let w = d - -33. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (sqrt(1872)*2 + -4) - (sqrt(1872) - (sqrt(1872) + 2 + sqrt(1872) + -5)))*-3)**2 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + t + 1. Let r(d) = -6*d**2 - 13*d - 6. Let p(c) = -5*n(c) - r(c). Let l be p(-4). Let g be (-4)\/l*3\/(-2). Is 0.6 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*f**2 + 40159 - 40159)*(-4 + 7 + 4)*(6*f**2 - 2*f**2 + 0*f**2) to n*f**2 + u*f**3 + b*f**4 + k + c*f and give b.\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 25*c**2 + c. Let v(m) = m**2 - 2*m. Let n be v(1). Let a be l(n). Calculate the greatest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-21)*-4)\/(-2 - 39\/(-42)). What is the fourth biggest value in j, -0.4, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((3\/9)\/((-2)\/(-30)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 347 - 323. Suppose 3*l - 3*m = -0*m - y, -3*l - 21 = -2*m. Let x(w) = 3*w + 11. What is x(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028024 rounded to 7 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 24. Which is the closest to 0.21? (a) 4\/3 (b) s (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006712255 to 6 dps.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least 4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/120 - h**5\/12 + 3*h**4\/8 - 3*h**3 + 14*h**2. Is 41 a factor of i(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/1041 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -v + 5, -v - 4 + 3 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 - i - 4. Let x(q) = q**2 + 1. Let g(d) = o(d) + 3*x(d). Let r be g(0). What is the remainder when 40 is divided by 2\/(-4) + 29*r\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4654 + 4422 = -29*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/7 of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*b = 295*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - b = -4, 5*b - 4*b + 20 = 5*m. Suppose 76*v = 80*v + 3*g - 22, 4*v - 2*g = 12. Solve m*k = -k - v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1d?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -8, -57, -126?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00795631 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -17. Let a be 247 + -2 + (-3)\/f. What is the tens digit of 2\/(-11) - a\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*y - 3*y = 385, 5*y + 221 = 3*r. Suppose -5*f - 62 + r = 0. Put f, -4, 3, -13 in descending order.\nAnswer: f, 3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + -63)*-1 + (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31085.2 times -2439\nAnswer: -75816802.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1051, -5, 7710 in decreasing order.\nAnswer: 7710, -5, -1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 125*n + 324*n - 202*n + (0 + 0 + 3*n)*(0 + 5 - 4) + 5*n - n + 0*n.\nAnswer: 254*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1 + -9 + (-756918)\/(-131)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 379 - 380. Let h = -659\/868 - -2\/217. Which is the third biggest value? (a) h (b) 1\/6 (c) s (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 + 2*z**2. Let n(g) = 42*g**3 - 18*g**2 + 2*g + 1. Give n(y) + 2*w(y).\nAnswer: 34*y**3 - 14*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5824 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 304 - 303.9. What is the closest to -11 in b, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/1960711 + 327439829\/1070548206. Find the common denominator of s and -155\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, n: 1, m: 4}. Give prob of picking 3 m and 1 n.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggvvgvgvgvvvggvggv.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*(sqrt(1088) + -3 - sqrt(1088)) - (sqrt(1088) + 3)*6)**2*5 + 3)*6.\nAnswer: 8640*sqrt(17) + 1175310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -431 >= -431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 3*p**2\/2 + 4*p - 71. Let i(a) = -3*a - 5. Determine 6*i(t) + 7*l(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14 - -103)\/(2\/10). Let v = s + -178. List the prime factors of v.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204602 + 102437. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094301 plus -645651639?\nAnswer: -645651639.094301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -15181?\nAnswer: 1518c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173.09 + 173.19. Let s(z) = z**2 - 5*z - 9. Let j be s(7). Suppose -j*y = -7*y. Which is the nearest to y? (a) q (b) 6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/3)\/((-12)\/(-54)). Sort d, -5, 1, 5 in descending order.\nAnswer: 5, 1, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 11915*m**2 - 250636*m + 238720.\nAnswer: (m - 20)*(m - 1)*(m + 11936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*h - 1260 + 260. Let q = -5 - -10. Suppose -2*m + 14 = 3*b, 0*b = -2*b + 3*m + q. Solve -3*o = b*g - h, 2*g = 4*o + 5 + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/((-1)\/(2 + -4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*s + 26, -4*j - 5*s + 1 + 3 = 0. Let u be (-3)\/6 - (-159)\/j. Suppose 273 = -8*h + 15*h. Calculate the greatest common factor of u and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)\/((-7)\/((-7)\/6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2892*q + 13963. Calculate a(-5).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 = -f - 3*h, -4*h = 4*f - 24. Suppose 2*x = -0*z + 2*z + 100, f*z - 250 = -5*x. Calculate the highest common factor of x and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 9 + 10)*(5*k - 8 + 8).\nAnswer: -55*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.1 - -4.1. Let b = -0.081 + -80.919. Let n = 79 + b. What is the third smallest value in -2.6, q, -1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 135*m**4 + 58720*m**3 - 61305*m**2 - 115530*m + 4360 = 0.\nAnswer: -436, -1, 1\/27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivzjxez. What is prob of sequence jezi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/849 or 1028?\nAnswer: -22\/849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -50. Calculate the remainder when c is divided by (16\/5)\/(70\/175).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z*z**1*z)))\/z*z**(4\/9))**(-3\/40)\/(z*z**1*z\/(z\/z**8))**12 assuming z is positive.\nAnswer: z**(-14431\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 672575.00612 + -672609. Let s = l - -34. What is s rounded to 4 decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 260592055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 11. Let c(r) = r + 10. Let k(w) = -6*c(w) + 5*h(w). What is the remainder when (-7 - 545)\/(-6) + -2 is divided by k(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 8*d + 19. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -29*z**2 - 11*z - 10. Determine q(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3802 + -2543. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/20 - d**5\/60 + d**4\/12 + d**3\/6 - 3*d**2. Let w be q(4). Let c = w + -258. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4793632 to the power of 1\/2, to the nearest integer?\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-66)\/(-15) - 0. Let l be (268\/(-469))\/((1 - 46\/42)*15). Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Let r = 5 + q. Let o = r + -4.7. What is the second biggest value in o, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, -16, 0, -5 in descending order.\nAnswer: 5, 0, -5, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930 divided by 186.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/(-3)*0. Suppose 8 = -43*k + 47*k. Solve -k*o = -i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 40 = 2*b. Suppose -b*z + 15 = -3*z. What is the lowest common multiple of 4 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w + 25*w = -28*w + 36 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u**3 + 7*u**2 + u. Let j(y) = -y**3 - y**2. Give -14*j(f) - 2*z(f).\nAnswer: -10*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6\/((s*s**(3\/4)*s)\/s*s))\/((s\/(s*s**3*s))\/s)**33)**(-29) assuming s is positive.\nAnswer: s**(-19517\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4 - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -499, -547, -629, -745, -895?\n\"Answer: -17*n**2 + 3*n - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-12)*(6 - 0). Suppose 5*h - 2*t - 50 = 0, -4*h + t = -y*t - 47. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1257)\/6 - 0)*(50 + -48). Let r = g - -426. Which is smaller: r or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/9)*p))\/((p*p*p*((p\/(p**(1\/6)\/p))\/p)\/p*p)\/p))**44\/(((p**(1\/5)*p)\/p*p)\/(p**(2\/9)\/p))**(7\/8) assuming p is positive.\nAnswer: p**(-14581\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + k + (3*k - k - 3*k)*(1 - 5 + 2))*(-7 - 1 - 11 - 5).\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(1320\/36))\/((189\/12177)\/7)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053505427 to the power of 1\/3, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 28, 44, 76, 130, 212?\n\"Answer: l**3 - l**2 + 2*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, q: 1, j: 8}. Give prob of picking 2 p and 2 j.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5586 - 5580 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p - 1 - 3\/2*p**2 - p**3. What is y(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*q + 6585 + 4187, -21533 = -4*g - 3*q. What are the prime factors of g?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134.8 + 127. Let d = -4.8 - q. What is the closest to 0.1 in d, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1. Let u(g) = -g + 3. Give -q(i) + u(i).\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -18 - -5 - 0) + 9 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 229 = -8*j - 3*r, -2*r = -3*j - 176. Let i = j + 60. Suppose -p + 1923 = i*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5083*n**3 - 9*n**2 - 2192.\nAnswer: -30498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000100111101100 (base 2) in base 4?\nAnswer: -200213230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 20*p**2 - 45*p - 19. Give g(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/3))**(-24)\/(t**(-1)*t**1))**(-29))**(12\/7) assuming t is positive.\nAnswer: t**(-2784\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 28. Let l(j) = -2*j - 32. Let k(i) = -4*i - 72. Let o(y) = 4*k(y) - 9*l(y). Let d(n) = n. Calculate x*d(m) - 3*o(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 602 - 562. Solve l = 19*d - 9*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**3 + 6*j - 6. Let a(k) be the second derivative of k**5\/20 + k**3\/6 - k**2\/2 - 201*k. Give -6*a(z) + l(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.2, 72\/11, -1, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 - 30621*b**4 - 2*b**2 + 37*b - 3678 wrt b.\nAnswer: -60*b**2 - 734904*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + -1 - (sqrt(1216) + 1 + sqrt(1216)).\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 540752\/333 < 1625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 3*w - 6. Let l(n) = -5*n**2 - 7*n - 14. Let i(o) = -3*l(o) + 7*t(o). Let d(j) = 61*j - 1. Give i(d(v)).\nAnswer: 3721*v**2 - 122*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (14 + -9) - (-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(8 + -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -4) + (-575 + 556 - (1 - 19))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5341 and 34192319?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*l + 5*c, -36*l - 11 = 15*l - 42*l - 5*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 2*j - 6*j - 3*b, 2*j - 5*b - 64 = 0. Solve 6*o - 2 = -j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.3. Let t = -2252\/63 + 314\/9. Let n = 151 + -1061\/7. Which is the closest to -2\/9? (a) t (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13452 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:59 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-3544)\/(-680)*((-351)\/26 + 11).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 20. Let u = 56 - 28. Let b = -19 + u. Calculate the remainder when b is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -22. What is the units digit of (18\/4)\/(6\/u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1000111111?\nAnswer: 1000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7784630802 - -7784630767.76713321. Let r = -34.002867 - p. Let u = r - 0.23. What is u rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -410, -803, -1198, -1595, -1994, -2395?\n\"Answer: -d**2 - 390*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*r - 12, 5*r + 4*l = 2 - 8. Find the second derivative of 6*w**2 + 6*w**2 - 10*w**r + 3*w wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**10\/((n\/n**(6\/13)*n)\/n)*(n**(2\/5))**(-1\/11))**(-45))**(-46) assuming n is positive.\nAnswer: n**(2789946\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -6209, 794?\nAnswer: -6209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/((-32)\/4)*4\/(-30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 + 5*c**2 - 5*c. Suppose 4*g + 17 + 3 = 0. Let o(z) be the first derivative of z**4\/4 + z**3\/3 - z**2\/2 - 4. What is g*o(n) + f(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1 - 14118*w - 14175*w + 28295*w - 1. Let d(g) be the third derivative of 0*g + 0*g**4 + 0*g**3 + 0 - 2*g**2 - 1\/6*g**5. Calculate d(i(h)).\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-nine halves of a millennium?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -37*y + 8. Let k(x) = -189*x + 43. Let a(u) = -22*h(u) + 4*k(u). Let w(d) = -d**2. Determine w(a(g)).\nAnswer: -3364*g**2 + 464*g - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = -24. What is the smallest common multiple of a and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/18 - (20\/15)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2389503812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18082 - 1392294\/77. What is the common denominator of 74\/399 and i?\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 2 = -2*i - c, i - 26 = -4*c. Let m = -43 + i. Solve 9 + 0 = m*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14483820 > 14483818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -18*i - 17. List the prime factors of j(-4).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47046773729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10346 minus -21023?\nAnswer: 21023.10346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z + 2. Give x(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 1.3. Which is the third smallest value? (a) -5 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2*b**3\/3 - 107. Let m(f) = 4*f**2 - 3. Let q(g) = 7*g**2 - 7. Let p(s) = -7*m(s) + 3*q(s). What is u(p(x))?\nAnswer: -98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 21*m - 13. Let l be w(19). Calculate the highest common factor of 200 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9 - 4 = 0. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36, -2, -0.3, 27, 0.012?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-2 - 10\/(-4)). Suppose 2*k = 19 + o. What is the least common multiple of k and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 874419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -100182, -400532, -901112, -1601922, -2502962?\n\"Answer: -100115*c**2 - 5*c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100051979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 157068276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -12*k**2 + 59*k + 16. Determine n(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476560515 to the power of 1\/3, to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 3*f - 3. Let z(g) = -4*g - 4. Let m be 6\/21 - ((-368)\/(-28))\/4. Calculate m*z(w) + 4*k(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 56\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:40 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 2*j**2 - j + 3. Let g be w(2). Let y be 12\/(-8)*140\/g. Solve -8 = y*c + 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 4:57 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30439809 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - 1 - (9 - 7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5109936?\nAnswer: 2, 3, 13, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14714)\/4204)\/(91\/12)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13390 and 824.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-10)*670\/804.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(9)\/sqrt(3)) - sqrt(68)\/sqrt(100).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -170, -256, -342, -428?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -19.7. Let z = 1.1 - 0.1. What is the second smallest value in m, z, 6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-42))\/(((-212080)\/1687)\/(-220)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2013 - 3?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 0, -9, -22, -39, -60, -85?\n\"Answer: -2*x**2 + x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + y - 2*y)*(20 + 7 + 4) to the form k*y + d and give k.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 21 = 0. Let a = 11 - w. Solve 6*m - 4*s = 4*m + 2, a*m - 16 = 2*s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2784?\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2964, -227, -0.2, 0.4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 3. Solve -5 = -q*u + 3*j - 1, 3*u + 3*j + 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 562*c**4*r**2 + 143216*c*r**2 - 2*r**2 + 4*r + 2126035 wrt c.\nAnswer: 2248*c**3*r**2 + 143216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1453953755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 68\/20 + 128\/(-120)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 1 (b) 17 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*r - 13 - 24 + 8 with respect to r.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75073496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*t - 128. What is the remainder when t is divided by (12\/10)\/(12\/200)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 3. Let d be w(-12). Let b = 52 + d. Let o = 107 + b. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-97266)\/2236)\/((-2)\/(-4)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 3 - (-8 + 5 + -7) - 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v = 60*v + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h. Let s(r) = -145621*r. Calculate s(p(c)).\nAnswer: -291242*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32790 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 5 + 1)*(-4*p + 13*p - 6*p) to the form u*p + g and give u.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 811066 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**7 + 5*i**6\/6 + 2*i**3\/3 - i**2\/2 - 33. What is the third derivative of b(j) wrt j?\nAnswer: 840*j**3 + 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/20 - 7*o**4\/12 + 5*o**3\/6 + 3*o**2 - 14*o - 1. Let s be t(6). Solve s = -v + u - 3, -2 = -4*v - u - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.68 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 381 + -331. What is the highest common divisor of y and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1398709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -34213?\nAnswer: -34222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 7.6. Let o = -0.95 - l. Let d = 0.05 - o. What is the third biggest value in -0.06, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16831 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 16*u + 178 - 520 - 1270 = 0 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8583 (base 13) in base 9?\nAnswer: 27366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 6*q**3 - 5*q + 5*q.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*k - 46 + 46 + 0 - k + 0 + (24 - 13 + 6)*(-k - 2*k + 2*k) in the form d*k + n and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -21*u**5\/40 - 17*u**4\/4 + 13*u**3\/4 + 30*u**2 + 3*u + 3. Determine r, given that z(r) = 0.\nAnswer: -5, -1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5) - 95\/(-25). Let u(r) = -4 - 4 - y + 9. Let c(p) = -p**2 - 3. Let x = -3 - -1. What is x*c(j) + 2*u(j)?\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5902*s**4 - 159*s**2 + 20.\nAnswer: -141648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1974281844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*y - j - 8, 3*j = 4*y - 2. Suppose 2*u = 3*c - 2, y*c - 2 - 21 = -3*u. What is the second smallest value in -3\/7, c, -5, 0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836598 is divided by 836543.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8\/40 + (-88)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 23 + 22. Let u(d) = -d**2 - 15*d + 9. Let f be u(c). Suppose -2*i + f*i = 35. Solve -5*k + 20 = 0, 13 = 3*a + i*k - 7 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469556169 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2587\/10, 2 in descending order.\nAnswer: 2587\/10, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 42\/551?\nAnswer: 42\/551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*i - 10, -10 = -5*s - 0. Suppose -3*w + 7 + 2 = 0. Factor -4*b - 9*b**w + 5*b**2 + i*b + 3*b + 7*b**5 - 5*b**4.\nAnswer: b*(b - 1)**2*(b + 1)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 - 5005?\nAnswer: -5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**3 - 7*w**2 + 6*w + 7. Let t(i) = -3*i**3 - 3*i**2 + 3*i + 3. Determine -3*d(v) + 7*t(v).\nAnswer: -6*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:14 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.04871 times 2.3805\nAnswer: -0.115954155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15550 and 1250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 5*c - 6. Let m be x(-6). Suppose 28*y - 42 = 21*y. Solve 3*q - q + y = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/17 + 3654314*k\/17.\nAnswer: 2*k*(k + 1827157)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.38 * -96\nAnswer: -36.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5091000 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (-84 + 76 + 107)\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, -0.398 in decreasing order.\nAnswer: 8, -0.398, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:12 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 - (2 + (7 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.51294 to 0 dps.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.22008683 + 75350351.22008683. Let g = -75350357.99999925 + z. Let m = 8 + g. Round m to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 41*t + 14. Let i be d(-3). Let s = i - -106. Sort -5, s, 2, 0 in decreasing order.\nAnswer: 2, 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 666701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o. Let y(t) = -5*t - 22. Calculate -5*u(l) - y(l).\nAnswer: -5*l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(9\/12))\/((-27398)\/(-133)).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m**2 + 3239*m + 4831*m + 26*m**2 + 2907*m.\nAnswer: 2*m**2 + 10977*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 + 9*w + 9. Calculate z(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 317\/2 + -131. Let u = k - 27. Find d, given that 1\/2*d**2 + 0 + u*d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/4)\/(p\/p**1) assuming p is positive.\nAnswer: p**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let a(q) = 25768*q**2. Give a(b(s)).\nAnswer: 103072*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -25. Solve -y*u + 3*u = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -53. Is 113\/t + 3\/(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:35 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + l - 3*l - 8, -2*x + 12 = -2*l. Suppose -x*j - f + 1 = -5, -5*j + 16 = -3*f. Let i(w) = w**2 - 3*w - 4. Let n be i(3). Sort j, -1, n.\nAnswer: n, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 702 - 695. Let f(o) = 6*o**2 - 77*o - 15. Let l(k) = 12*k**2 - 156*k - 31. Let v(b) = g*f(b) - 3*l(b). Factor v(i).\nAnswer: (i - 12)*(6*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 + 5 = 0. Suppose -f*z - 24 = -6*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -27. Calculate the remainder when 91 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**2 - 2*r + 1. Let f be m(1). Let x(u) = -u**2 - 6*u + 9. Let h be x(f). Suppose -2*w - h*z = 2*w - 6, 4*w = -3*z + 5. Solve -3 = -w*d + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 699*k + 5015. Does 23 divide d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42b705 (base 12) to base 9\nAnswer: -1880615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*n - 46*n - 10*n + 240100 = 0. Calculate the highest common factor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12930697*y**4 - 50*y**2 + 42021 wrt y?\nAnswer: -310336728*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 15 = b, 5*i + 2*b = 19. Solve 3*j = 9, -i*j + 0*j = 5*p - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.0186\nAnswer: -0.0558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + -32?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2025.71 + 2019. What is u rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79990364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 - 6*n. Let d(b) be the third derivative of b**6\/40 + 17*b**5\/60 - 17*b**4\/24 + 31*b**2. Determine 6*d(f) - 17*z(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 36282*v + 36279.\nAnswer: 3*(v + 1)*(v + 12093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 13*p + 33. Let s be a(-10). Let k be s\/((-54)\/(-20)) + (-2)\/18. Which is smaller: -3\/58 or k?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84 - 9936\/120)\/((-3)\/85).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 68*q - 347. Calculate n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*u - 5544 = -116*u. What is the second derivative of 201*d**2 + 43*d**2 - u*d + 2 + 651*d wrt d?\nAnswer: 488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321 a factor of 271976616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010278 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1145*r**2 + 105 - 3*r**3 - 110 - 43*r + 763 - 1145*r**2.\nAnswer: -3*r**3 - 43*r + 758","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 - 5028*m**2 + 2086329*m + 17013960 = 0. Calculate m.\nAnswer: -8, 835, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -97*c. Let o(x) = -2*x**2 + 34. Calculate o(i(b)).\nAnswer: -18818*b**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 5*v - 5. Let u be y(-5). Suppose 0 = -4*l - 2*p + 8, 4*p + u = 2*l - 4. Suppose 0*d - 76 = -l*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82 - 82 - 9*r in the form f*r + x and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 - 2. Let i = o - 0.5. Let k = -0.9 - -1. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 12:45 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42504 and 3740.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1487020 and 432?\nAnswer: 160598160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((-5 - (0 - 8)) + -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a centimeter in micrometers?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/5*c**4 + 1\/5*c**2 + 0*c - 16\/5*c**5 + 0 + 7\/5*c**3 = 0 for c.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/61116 and -63\/20?\nAnswer: 305580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -242, -241, -240, -239?\n\"Answer: y - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -231 - -255. Suppose -2*g + 2 + 6 = 0. Solve g*n + k = -5*v, 0 = 2*v + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-20) + (-3)\/6. Let q(a) be the first derivative of -u*a**5 + 1\/2*a**2 - 1\/6*a**6 + 2 + 2\/3*a**3 + 0*a**4 + 0*a. What is d in q(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12604, -12602, -12600, -12598, -12596?\n\"Answer: 2*i - 12606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152719473*c**2*o**3 - 12*c*o**2 - 7099303*o**3 wrt c.\nAnswer: 305438946*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -99, -5, 9 in decreasing order.\nAnswer: 9, 1, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 43. Let c = 1.99999856 + z. What is c rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 916 - 879. Let n(c) = c**2 - 8*c - 88. Let v be n(16). Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -54\/5*l**2 - 12*l**3 - 39\/20*l**4 + 6\/5*l**5 + 0*l - 43 - 1\/10*l**6. Let m(k) = 0. What is k?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**5\/20 - t**4\/12 + t**3\/6 + 21*t. What is w(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4058 - 4054. What is the nearest to 0 in 1\/17, o, -3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sspssppsppsppppppp. What is prob of picking 3 p and 1 s?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 82*c**2 - 29*c + 12. Let g be m(5). Let v = 1504 + g. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(1200\/696)*-2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, v: 6}. Give prob of picking 2 v and 2 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60753820.\nAnswer: 2, 5, 3037691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 17, 1\/81?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - f - 7800 = -1502, 5*l + 3*f = 10506. Is 70 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80105.918 rounded to the nearest one hundred?\nAnswer: 80100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(504\/(-32)*(-8)\/((-224)\/(-12)))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173864?\nAnswer: 2, 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -272 + 302. What is the highest common factor of 105 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -91 and 176.82.\nAnswer: -16090.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d - 47 + 13. Let z be (40\/55)\/(-4) + d\/11. Suppose z = 3*f - 3*b - 312, 0*f - 322 = -3*f + b. Calculate the remainder when f is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-27) - (-2)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.93 + 3. Let f = 5.07 - w. Let g = -2.999 + -0.001. Which is the third smallest value? (a) g (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-2)\/(-4)*-6). Sort x, -9, 5, -3 in descending order.\nAnswer: 5, x, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 818733*m**4 - 2*m**3 - 14*m**2 - 121851*m?\nAnswer: 19649592*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0. Let i = 0 - 2. Let q = 6 + i. Which is the smallest value? (a) q (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*c, 2*h = 4*c + c - 1. Let d be -2 - (3\/3 - -1). What is the nearest to -1 in 3, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 6*u**2 - 3*u + 8. Let m be y(7). Calculate the remainder when (m\/(-10))\/3 - 2\/(-4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 552*h**2 + 14*h + 5. Let v = -97 - -100. Let f(p) = 184*p**2 + 5*p + 2. Let t(g) = v*j(g) - 8*f(g). Is t(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffhfhfffhiff. Give prob of picking 1 i and 1 h.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:21 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.21, -5, 4, -0.1, -6 in increasing order.\nAnswer: -6, -5, -0.1, 0.2, 0.21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1\/13 (c) -3.78 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8 - 7. Let x(a) = 22 - 22*a - 37 - a**2 + 68. Let o be x(-24). Solve -2*k - 3*l + 32 = 2*k, -45 = -z*k - o*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**5 - 300*k**4 + 1012*k**3 + 5916*k**2 - 1008*k - 5616 = 0.\nAnswer: -78, -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390936, -390932, -390926, -390918, -390908, -390896, -390882?\nAnswer: -390866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - y + 180, 4*y = -z - y + 60. Suppose 2*p + 2*p - z = 5*o, 2*p - 23 = -3*o. Is p\/60 - 15413\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64700508 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-39)\/(-12))\/13)\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9790894811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5.4899+6\nAnswer: 0.5101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -1. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5222973 millilitres in litres?\nAnswer: 0.0005222973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36359, -36352, -36343, -36332?\n\"Answer: o**2 + 4*o - 36364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 - -328. Calculate the common denominator of 87\/20 and 1*1\/(-2)*t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -50. Calculate the highest common divisor of 28 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x**2 - 430*x - 1057. Give h(50).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 124*c - 78. Determine b(-4).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from ltz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 10696*q**2 - 26952384*q - 8940980736.\nAnswer: -(q - 5496)**2*(q + 296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 9*j**2 + 11*j - 7. Let r be x(10). Suppose 3*a - 2*b + 11 = 29, 7 = 4*a + r*b. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4707307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -0.17?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34797.\nAnswer: 3, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233, 521, 1291, 2071, 2855?\nAnswer: 3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orwrwywvivwwv. What is prob of sequence woy?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1424 + 140?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 2. Let h = d - 24. Suppose -3*b - h*b + m = -41, -2*m - 26 = -3*b. Calculate the highest common factor of 72 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2\/13, -305.6, -2 in descending order.\nAnswer: -2\/13, -2, -9, -305.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -594, -416, -248, -96, 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, -27, -182 in increasing order.\nAnswer: -182, -139, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10902 and 44206.\nAnswer: 10476822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.801 - 27513459732?\nAnswer: -27513459731.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237 - -226 - (1 - 13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wynhhhyzhynwhy. Give prob of sequence hw.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-835)\/668*(14 + 1044\/(-45)).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 4*c**2 + 0*c**2. Suppose 2180 = 13*a + 321. Let v(u) = -428*u**2 + a*u**2 + 143*u**2 + 146*u**2. Calculate i(v(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (849 - 849 - 19*p**3)*(0*p + 0*p + p**2)*(1 - 2 + 3).\nAnswer: -38*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566.5738 millennia to years.\nAnswer: 566573.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5 + 5, -50 = -5*m + 2*b. Let r be (7 - 8)*(2 + 8). Let d(p) = p**2 + 8*p - 5. Calculate the remainder when d(r) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185746 and 9878.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*k**5\/4 + 9*k**3\/2 + 2*k**2 + k\/4.\nAnswer: -k*(k - 1)*(3*k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z**4 + 0*z**5 - 1\/2*z**6 + 0*z - 4\/3*z**3 - 3 + 0*z**2. What is the third derivative of o(j) wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142843 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 1278501 = -719542 + 364145. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r - 6. Let u be o(-5). Let d be ((-226)\/u)\/(6\/(-4)). Let h = d - 2045\/231. What is the common denominator of -50\/11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 21 = 0, 143*l + t = 146*l - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7718.7 times -11\nAnswer: -84905.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3b05467 (base 12) to base 8\nAnswer: 54514117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 5*r**2 - 29*r + 24. Let b be p(10). Let t = b + -704\/3. Which is smaller: -1\/104 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = 5*r, 5*r - 15 = -5*u + 5. Suppose -g - 29 = u*p, 2*g + 0 - 7 = 3*p. Put g, -6, -3, 4 in decreasing order.\nAnswer: 4, -3, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2393594 is divided by 797851.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 5*g - 2. Let n be x(-4). Let q = 0 - 2. Let f be 2 + (4\/q - -2). Is f > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 10. Let q be g(-7). Let z be (-3)\/(2\/(4\/3)). Are z and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (2316\/(-300) - -11)\/(4\/(-10)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/36)\/((-2884)\/927).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*w + 26415, 48*w = -4*z + 51*w + 35219. List the prime factors of z.\nAnswer: 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*x + 737*x - 243*x - 253*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -305?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 557779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 15\/10 - (-1)\/2. Let s(p) = -10*p**3 - 15*p + 13*p + 9*p**3 - 8*p**i - 11. Let o be s(-8). Solve 0 = x - 6*x + o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 4*p**2 + 4*p - 4. Let t(k) = 3 - 12*k**3 - k**2 + 13*k**3 - 1 - 2 - 1 + k. Give -g(v) + 4*t(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 34615\nAnswer: 4\/34615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*g - 91*g - 87*g + 537*g - 89*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 227*m + 4. Let a be k(4). Let z = a + -222. Round z to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.036 less than -32.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 1\/30*y**5 - 1\/6*y**3 + 0 - 3*y**2 + 1\/12*y**4 + 0*y. What is the lowest common multiple of 9 and m(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -24*s - 36. Put 73, s, 2, 1 in increasing order.\nAnswer: 1, 2, s, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 19 = -0*b + 5*q, b + 3*q = -13. What is the second biggest value in -3\/2, b, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvqpvpvvvvvgppvq. What is prob of picking 2 p and 2 v?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3843 rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baba when four letters picked without replacement from {b: 6, a: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w**2 + 8*w + 1. Let b(y) = -10*y**2 - 9*y - 1. Let q(p) = -3*b(p) - 4*m(p). Calculate q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-3))\/(76*133\/15162)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 36. Which is the nearest to -1\/2? (a) 0.3 (b) 1 (c) 12 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90812831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6 - -5. Suppose -13 = 3*j - t - 6, 4*t - 2 = -j. Let q be j\/(-7) + (-12)\/(-7). Put q, s, 1 in descending order.\nAnswer: q, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + -0.92. Let p = -25\/157 - -2710\/12089. Let q = 29\/1925 + p. What is the third smallest value in -4, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1254 + -1?\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 28*a**2 + a**2 + 9*a**2. Let k(y) = y**2 + 2*y + 2. Let f = -303 + 299. Let q(n) = -6*n**2 - 11*n - 11. Let g(o) = f*q(o) - 22*k(o). What is g(u(m))?\nAnswer: 2888*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/3 - 3256*f**3\/3 - 1178310*f**2 - 1280820800*f\/3 - 1277289125\/3 = 0.\nAnswer: -1085, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 991335829 to the nearest integer?\nAnswer: 31485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2, -4, 0.5, -1596?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -31 (b) 1\/4 (c) 1\/8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-50)*835\/(-1503).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h**2 + 3*h - 5. Let y(s) = 36*s**2 + 4*s - 7. Let q(a) = 7*p(a) - 5*y(a). Let g(w) = -5*w**2 - 901*w + 7*w**2 + 901*w. Calculate q(g(v)).\nAnswer: -48*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*c - 3*t, 15*c + 3 = 16*c - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 51 = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and -310042574.4?\nAnswer: 310042574.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 2:49 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 24.6701?\nAnswer: -24.6201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-42)\/(-140))\/((-3)\/2))\/((-27)\/450)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/28390119 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5 + 10*u**4 - 170*u**3 - 40*u**2 + 1725*u - 2250 = 0. What is u?\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 430. Let g(o) = 39*o - 83*o + 45*o. Determine g(p(y)).\nAnswer: 2*y - 430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 3. Let i be (-4)\/6*((0 - -2) + -5). Calculate p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13)\/(v**(3\/11)*v))\/((v*v*(v*((v\/(v\/v**(-1)))\/v)\/v)\/v)\/v**(-2))*(v\/(v**(-9)\/v)*v\/v**(-5))**46 assuming v is positive.\nAnswer: v**(111479\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1403 + -839. Suppose w - 7*w + n = 0. Suppose 4*a - 129 = -y, 2*y - 4*y - w = -3*a. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/1220 and -193\/1380.\nAnswer: 84180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1828 - -1060. Let c = k - -768. Solve c = -p + 1 + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 - 12*f**3 + 3*f**2 + 12*f.\nAnswer: -3*f*(f - 1)*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-18)*-3*-3. Let g = 5 - a. Let h(j) = -4*j**3 + 8*j**2 - 2*j - 2. Let k be h(g). What is k rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91971 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from fhlfblbbbpl.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -40e42d (base 16) to base 12\nAnswer: -1511091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62347309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13969054\/447 - -31251. Let w = o - -2\/149. What is the second smallest value in w, -3\/2, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - -28. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4968 + 273232*t - 1241 - 1236 - 1245 - 1246 + 2*t - 3*t + 0*t + (1 - 3 + 1)*(-5*t + 2*t + t) in the form s*t + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2016899 - 251423. Let x = 1765475.2699877 - m. Let c = x + 0.73. Round c to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtbttbtbtbtbbtbtbt. Give prob of sequence bt.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 387 + 8*l + 17*l**4 + 2*l**2 + 475 - 860 to the form b*l + h*l**3 + r*l**4 + g*l**2 + t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -147, -41, 291, 927, 1945?\n\"Answer: 13*n**3 - 4*n**2 - 121*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2955 (c) 0.5 (d) -2 (e) -2.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:51 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v - 3*v - 2*v - 4*v + 11*v**4 wrt v?\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Let p(l) = -l**2 + 28*l + 65. Let d be p(30). Is d bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)\/(((w\/(w**28*w))\/w)\/w)*(w**(-36))**(20\/11) assuming w is positive.\nAnswer: w**(-401\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 30*s - 306. Does 9 divide q(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 4*c + 2*c. Let k(m) = 2542*m**2 - 620*m. Let z(t) = -33*t**2 + 8*t. Let y(g) = -2*k(g) - 155*z(g). Give n(y(a)).\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 82 - 2)*(-10*s**4 - 17*s + 17*s).\nAnswer: 940*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 38896726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-42)\/147).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -472, -946, -1420, -1894, -2368?\n\"Answer: -474*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 28*b - 5. Calculate o(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -18373377\nAnswer: -1102402.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9770124nm in kilometers?\nAnswer: 0.0000000000009770124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*-5*((-80)\/15 + -10). Let s = p - 429. Let z be 4\/(-1*2)*-62. Calculate the highest common factor of z and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - u = -4*u - u - 138, -46*x - 5*u = 1206 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 6*y. Let p be t(-5). Let j = p + -8. Let g be 1\/j*1\/(-3). Which is the third smallest value? (a) -5 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2274*k = 2344*k - 1625 - 965 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 190252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -678428 and -391.17?\nAnswer: 678036.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 24. Let w be p(13). Suppose -3 - 9 = -4*s - 4*b, -13 = -w*s + 5*b. Solve 2*d - s - 6 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 11:38 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*n - 87 + 573 = 0, 3*r - 5*n = 1451. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*d + 2*d**2 - d**2 - 6 + 1 to i*d**2 + k + v*d and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 2*z + 2. Give x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6923\/4 + -1731. Which is the fourth biggest value? (a) -0.103 (b) -4 (c) l (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 272*r**3 + 568 wrt r?\nAnswer: 816*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 959*h**3 - h**2 - 2*h + 2. Calculate the remainder when q(1) is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -5*p - 55, 4*i - 258 = 3*p - 247 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykykykyyyyyy. Give prob of sequence ky.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhzhhqqzlzhqqqhqzaqh. Give prob of picking 2 z.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 - 385*o**2\/2 - 15024*o - 332928.\nAnswer: -(o + 48)**2*(o + 289)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 41*b - 364. Let w be j(9). Solve w*l - l - 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -428, 2659, 1, -7 in decreasing order.\nAnswer: 2659, 1, -7, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 3*r. Let k(a) = -a**3 + 2*a**2 - 3*a. Let m(w) = 3*k(w) - 2*p(w). What is the second derivative of m(y) wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 - 4*d - 2. Let j be s(-7). Let w = j + 19. Let z = 6 + -11. Is w <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, e: 5, t: 6, l: 1}. What is prob of picking 1 e and 3 i?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**2\/3 - 3120*p - 94100\/3 = 0 for p.\nAnswer: -10, 1882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(104)\/(1*sqrt(8)) - (1 + sqrt(468))) + -1.\nAnswer: -5*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 7:56 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -166358?\nAnswer: 166357.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1420, 5, 26809.\nAnswer: -1420, 5, 26809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169 + -166. Which is the closest to 78? (a) n (b) 3\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*w = -14 + 17 + 19, c - 2*c + 31 = -7*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*s + 287, o - 60 = -0*o + 2*s. Suppose 0 = i + 3*z + 194 - 835, 0 = 5*z - 5. Calculate the highest common factor of i and o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:31 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1230, -1236, -1236, -1224, -1194?\n\"Answer: t**3 - 3*t**2 - 4*t - 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 4*j - 3. Let n be m(-4). Let b = 7 + n. Suppose 6 = -s + b*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27015 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -7, 21, -2, -12 in increasing order.\nAnswer: -12, -7, -5, -3, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 = 1. Let n be 0\/((-1 + 4)\/j). Suppose n = -2*u + 40 + 54. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1\/a)\/a)**(-3\/10)*(a\/((a**(-3\/2)*a)\/a))\/a**(-5))\/((a\/(a\/(a**(3\/4)*a)))\/(a\/(a*a*a*a\/(a*a\/(a*a**(-1))))))**(-8) assuming a is positive.\nAnswer: a**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 - -250. Let j be 6 + v - -5*3\/(-15). Solve -3*h - j = -5*m + 26, 3*h + m + 12 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6 + 7. Let q be ((-49)\/26 - -2)*4\/(-30). Is o bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 262.339818 and -0.00206.\nAnswer: 262.337758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6177 equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 3*z - z + 13*z + 2*z**2.\nAnswer: 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 - (1 + 0)) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 4*u**3\/3 - 3*u**2 - 4*u - 33. Let k(p) = 13*p**3 - 1. Calculate the remainder when k(1) is divided by n(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222111010212 + -1?\nAnswer: 222111010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14133?\nAnswer: 3, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.778 + -683.622. Let p = 689 + x. Let r = -0.07 + 4.07. Which is the second biggest value? (a) r (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 + 1 = 0. Let d be l\/14 - 8\/28. Suppose d = 3*g - t - 4*t - 48, 5*g - 2*t = 80. What is the lowest common multiple of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-48) + 3)*-4. Put 3, -5, 1, p in ascending order.\nAnswer: p, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssssssgssssss. Give prob of picking 3 s and 1 g.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83571252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from sxpxppsxp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/2, 1371.3, 0.1, -1 in descending order.\nAnswer: 1371.3, 1\/2, 1\/4, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 - 1415*z**3 - 323586*z**2 + 135171180*z + 271625400 = 0.\nAnswer: -810, -2, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {n: 3, d: 1, q: 2, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -893 + 2473. Let p = a + -1581.313. Let b = -0.107 + p. Round b to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100204 + 3?\nAnswer: -100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 divided by -43?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-12)*4*-3. Let t be m - (-1 - -2 - 8). Suppose -2*z - t*z + 60 = 0. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 22) + (7 - ((2 - 10) + 9)) + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 1. Let t be g(1). Solve -t*m + m - 4 = -2*y, 0 = 2*y - 4*m + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (1 + sqrt(847))**2) + sqrt(847) + 5 - ((sqrt(847) + sqrt(847)*-1 + -1)**2 + sqrt(847)).\nAnswer: -844 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r + 1029. What is the tens digit of w(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -172\/9 less than -3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190320.\nAnswer: 2, 3, 5, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023.774 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.22839g to milligrams.\nAnswer: 94228.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -87 + (-18 - 22) - -9?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-40 - -36 - -20) - -62?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 5\/218418677 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 + (-2 - (-60)\/(-14)). Let a be (-3 - h)\/9 + 4686\/9. Suppose 1747 - a = 2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3003*s**2*v**2 + 3*s**2*v - 2*s*v**2 + 122*s*v - v**2 - 10*v wrt v.\nAnswer: 6006*s**2 - 4*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 + 116. Is k less than 8.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1231297 and -0.59.\nAnswer: 726465.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h**2 - h**5)*(78 + 66 - 42).\nAnswer: -102*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1250 + -1252. What is the biggest value in -0.2, -20, f, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266212259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13267 - 13268. What is the biggest value in 0.058, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223 - -55. Let l = -3060\/11 + y. Let m(t) = t**3 - 7*t**2 - 5. Let s be m(7). Which is the third smallest value? (a) l (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925300*a - 428778*a - 1242741*a - 169218*a.\nAnswer: -2766037*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 724972427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jeejjeeeeeee?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/3*(-17)\/340?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*((b\/b**(-1))\/b*b*b)\/b))\/b)**14 assuming b is positive.\nAnswer: b**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let n(u) be the third derivative of u**5\/5 - u**3\/6 + 3*u**2. Let z be n(v). What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -11*i + 83. Calculate the least common multiple of c(7) and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x**3 - 33*x**3 - 39*x**3 + 108*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 22. Suppose 5*w - 227 = -2*o, -3*o = -b - 2. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 9:11 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6}. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.073 + -0.173. Let m = 9.9 - s. Let h = -14\/65 - -108\/1105. Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 + 5*z + 4. Let p be w(4). Let j = 6 + p. Let f = 3 - j. Let k(l) = l + 3. Let y(u) = 1. Determine f*y(g) - 2*k(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuufkkfkkpkpukkufkku. Give prob of sequence ppf.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**5 - 4*o**5 + 0*o**5)*(1 + 3 - 2) + (0*o**2 + 2*o**4 + 0*o**2)*(1 + 2*o - 1) - 3*o**5 + 0*o**5 + 5*o**5 + (-2*o**4 + 4*o**3 - 4*o**3)*(2 - 2*o - 2).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 231 + 227 + 228 - 687 + 6977*s**2 as p + o*s + w*s**2 and give w.\nAnswer: 6977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10520 (base 6) to base 7\nAnswer: -4224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -157, -206, -255, -304, -353?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 4*h**2 - 42*h - 327. Let q be p(-6). Suppose -1 = -0*v - v. Put v, q, -4 in descending order.\nAnswer: v, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/9 and -103\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -24640.283?\nAnswer: 24637.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 195178609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 30*k**2 + 3*k + 130. Suppose -13*x + 30 = -14*x. Let n be t(x). What is the greatest common divisor of 64 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 6*v**2. Let x(l) = l**3 - 5*l**2. Calculate 5*h(w) - 4*x(w).\nAnswer: w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 29*p**2 + 695*p - 1774. Give o(-26).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0919066m?\nAnswer: 0.0000919066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -0.58\nAnswer: -15.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8903, -17754, -26605?\nAnswer: -35456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*d + 953*d + 0*d = 433*d + 38483 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) -0.5 (b) -5 (c) 450\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*k + 1)*(-k - 3 + 3) + 12 - 17 + 36*k**2 + 7.\nAnswer: 34*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-22) - ((-16146)\/(-57915))\/(2\/10)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2.2. Are -3\/7 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 726586 divided by -1\nAnswer: -726586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 159 (b) 5 (c) -13.058\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.34 - -5.74. Sort a, -0.5, 4, 1\/180 in increasing order.\nAnswer: -0.5, 1\/180, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 50.61. Let l = m + -0.41. What is the second smallest value in -0.4, -4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Suppose 2*b - 4 = -s*b. Solve -4*u = -2*u - b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1144*w**3 - 5*w**2 - 4*w - 675. Let x(g) = -1141*g**3 + 4*g**2 + 3*g + 681. Let v(l) = -4*c(l) - 5*x(l). What is the derivative of v(s) wrt s?\nAnswer: 3387*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 49*y**2 + 55*y**2 - 150*y**2 - 30 - 13*y + 48*y**2. What is the hundreds digit of n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 13*u. Let p(g) = -g**2 - 6*g. Give -13*p(j) + 6*x(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*z - 2*z - 8 = 0, 3*o = 5*z + 4. Suppose -4*y = -5 - o. Let t = y - 1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1, 28, 3 in increasing order.\nAnswer: 1, 3, 19, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/7 (b) -0.2 (c) 79 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (1 + sqrt(720) + 5)) + (sqrt(720) - 2*(4 + sqrt(720))) + 5*-6*(-3 + sqrt(720)) + 1)**2.\nAnswer: -57288*sqrt(5) + 697849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - q. Let j(g) = -12*g**2 + 2*g - 5. Let l(b) = j(b) - 6*w(b). Let h(t) = -4*t**2 + 5*t - 3. Determine 8*h(c) - 5*l(c).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 - -2. Suppose -m - 20 = -3*z, -4*z - 311*m + 35 = -314*m. Which is the third biggest value? (a) -5 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -196 - -173 - (-10 + -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(4\/4 - 0). Let t(n) be the first derivative of n**2 + f + 0*n + 2\/3*n**3. What is the second derivative of t(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 387 + -338. Let f be 2 + 93\/2 + (-75)\/(-50). Which is bigger: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*m + 15534997, -2*f - 9321003 = -3*m + f. Suppose 31*b - m = 18*b. What is b rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**5 + 271*k**2?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120202022112011 (base 3) in base 15?\nAnswer: -b05694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*o - 2 + 2*o + 3*o + 3*o + 2*o + (2*o - 1 + 1)*(1 + 2 - 1) + o - 2 + 2)*(3*o - 3*o - 2*o**2) as z*o**2 + j*o**3 + m + t*o and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3469542 or -46?\nAnswer: -3469542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/9 (b) -0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 1. Let n(z) = 2*z + 16. Let w(u) = n(u) + 3*o(u). Let l be w(8). Suppose t = 0, -5*t + 19 = l*q - 51. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 31. Let z be g(-11). Let n = 64 - z. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*1*sqrt(121)*-1*4)\/(-3*(-2*sqrt(1584) + sqrt(1584))*-4).\nAnswer: -5 - sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 1. Let p(x) = -x. Let d(z) = -8*p(z) + 3*t(z). Suppose 3*y - 10 = 5*y. Let l = 0 - -2. Let i(m) = -2*m - 1. What is l*d(q) + y*i(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 49*a**2 - 108*a - 2616. Calculate f(52).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 19 = 16. Let m(h) be the first derivative of o*h + 0*h**2 + 0*h**4 - 11 + 0*h**3 - 13\/5*h**5. Find the first derivative of m(c) wrt c.\nAnswer: -52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 - 6*h**2 - 3*h**3 + (2*h - h + h)*(-12*h**2 - 21 + 21) - 5*h**3 + 2*h**3 + 0*h**3 to m + f*h + j*h**3 + g*h**2 and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let m = 185 - 1667\/9. Let x = 92\/5 + -18. Which is the third smallest value? (a) w (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430162.6 days in seconds?\nAnswer: 37166048640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 4*v + 7*v)*((-3*v + 5*v + 0*v)*(0 - 1 - 1) - v - 3*v + 2*v)*(3*v**2 - 2*v**2 + v**2).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132856 + 720672 = 8*f. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -12*1\/4 - -3510 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 58*g**3 + 919*g**2 + 21*g + 2636. What is w(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 10 = -3*l + 2*b, 3*l + 10 = 2*b. Suppose l = -2*m + 9 + 11. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 4, 177, 2, 8.\nAnswer: 2, 4, 8, 33, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(176) + 4 + -4 + -2 + sqrt(176))*-4)**2.\nAnswer: -1024*sqrt(11) + 45120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -26*(-4)\/(-32) - 7\/(-28). Suppose 0 = 2*d + 4 - 6. List the prime factors of (d - (-62)\/(-6))*f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3 + y - 5*y + 4 - 4. Let c(w) = -5*w - 2. Let p(l) = -l - 14. Let f be p(-11). What is f*c(j) + 2*u(j)?\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2887*x**3 + 345 wrt x.\nAnswer: -8661*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose -q + 7 = -5. What is the highest common factor of n and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3447 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20004.072 months in decades?\nAnswer: 166.7006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.3083 + -332096.\nAnswer: -332147.3083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/((r\/(r*r**(-1\/4)))\/r*r))*r)*r)**(1\/45)\/((r**(-1\/3)*r)\/r)**(-26\/7)*((r**(1\/2))**(-6))**34 assuming r is positive.\nAnswer: r**(-14451\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 less than 347?\nAnswer: 349.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45 + 25 + 13 + 5*s**2 + 3*s**3 - 3*s**4 - 2*s**2 to g*s**4 + k + m*s**3 + v*s + b*s**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-40 + -1056)\/(3\/(-30)) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 34*m + 3 = 0. Find r such that 3*r**4 + 0*r**4 + 11*r**3 - 11*r**3 + 39*r**m - 2*r**4 = 0.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**3\/3 - b**2\/2 - b. Let y be ((-237)\/1343)\/((-1)\/17). Calculate z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -46 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/8))\/i)**(-28))**(-1\/12)\/((i*i*i**(-2\/9)*i**7)\/(i**2)**(-50)) assuming i is positive.\nAnswer: i**(-7853\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 0 in decreasing order.\nAnswer: 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3397112492 - 1\/2*l**4 + 3391731638*l + 5681\/2*l**3 - 5378013*l**2.\nAnswer: -(l - 1894)**3*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 + 117. Let d = 135 + -69. Let c = d + -30. Calculate the remainder when c is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*j + 55, 5*j + b + 5 = 45. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.88, 2, 0.18, -2\/9 in increasing order.\nAnswer: -4.88, -2\/9, 0.18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sasouuousauus. Give prob of sequence uoua.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409766971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d = 2. Let q be d\/(-8) - 21\/(-12). Let o(z) = 2*z**2. Let p be o(-2). Solve 0*l - q*l - p = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 917 + 77 = 7*a. List the prime factors of a.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*l + 217*l - 196*l.\nAnswer: -266*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2870.225 centuries to millennia.\nAnswer: 287.0225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -20. Let o(w) = 13 - 20 - w**2 - z*w - 6*w. Determine o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 26533248?\nAnswer: 291865728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 17 - 2*x**2 - 3*x + 4\/3*x**3. Give t(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 161 = -3*l, 1148 = 5*y + 3*l + 307. What is the remainder when y is divided by 63?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -91, -207, -369, -577, -831?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from trtrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 - s**2 + s - 1. Let j be h(1). Suppose -2*d + 52 = w, 0 = 4*w + d - j*d - 263. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -27850?\nAnswer: 2\/13925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 - ((-16180)\/1680 - (-6)\/((-48)\/(-10))) and ((-10)\/(-14))\/((-12)\/14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 951294318 by -18677.\nAnswer: -50934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 115f9c - -5?\nAnswer: 115fa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2131\/2 + 1114. Let d = 9391\/7 - 1345. Find the common denominator of d and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796996?\nAnswer: 2, 23, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 383739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9)\/((h*h**(-2\/21))\/h))**(-6\/19))**(-9) assuming h is positive.\nAnswer: h**(-3366\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 1, k: 1, u: 3, h: 3}. What is prob of picking 1 r and 1 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.69 - 4.7342. Let h = o - -0.04414325. Round h to six dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-10) - 0)*(-4)\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -362.8 rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -14*q**2 - 11*q - 2. Let h(p) = 5*p**2 + 4*p + 2. Give -3*a(x) - 8*h(x).\nAnswer: 2*x**2 + x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 25*k**2 + 28*k - 78. Let a be s(24). Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117550 greater than -117550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0317 - 39.9683. What is the second smallest value in h, -1\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. Let g(t) = -t - 9. Let z(c) be the third derivative of -5*c**3\/6 + 4*c**2. Let f(r) = 2*g(r) - 5*z(r). Determine f(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -14034.\nAnswer: 1403.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 8*r + 9. Let w be t(-7). Let g(x) = -x + 2 - 2*x**2 + x + 2*x. Give g(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3)*-6 + sqrt(27) + -5 + (sqrt(6)\/sqrt(2) + -1 + -5)**2.\nAnswer: -21*sqrt(3) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309207836.\nAnswer: 2, 7, 1577591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-50)*(-3)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-20)*(-44)\/((-9768)\/925)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1.8.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, e: 2, z: 2}. Give prob of sequence zz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w - 44. Let v(m) = 6*m + 45. Let s(r) = 2*i(r) + 3*v(r). Let f be (-219)\/45 - 3\/135*6. What is the remainder when 14 is divided by s(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgqm. Give prob of picking 1 m and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 94?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*o - 18, -7*o + 3*s = 9 - 34. Let t = 6 - 8. Is o + t + -5 + -4 + 989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 4 - 0 - (77 - 60)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -21. Let n = 0 - -3. Calculate the remainder when d is divided by 1*n\/((-3)\/(-16)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, y: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 23*d**4 + 3*d**2 - 35*d. Let h(b) = -116*b**4 - 14*b**2 + 176*b. Let o(z) = 3*h(z) + 14*y(z). What is the second derivative of o(l) wrt l?\nAnswer: -312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/6)\/((-3)\/300). Let m = 103 + a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 4, 1, -32, 2, 0, -2 in increasing order.\nAnswer: -32, -2, 0, 1, 2, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(78)\/sqrt(6)*-6 + sqrt(13) + (4*sqrt(468))**2).\nAnswer: -7488 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -16*p + 20. Let n be m(-11). Suppose 4*v - n = 116. Suppose -v = -3*b + 240. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z**2 + 1. Suppose 12 = 2*s - 0*s. Let x be b(s). Let j = -196 + x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2\/5*j**5 + j**2 + 0*j**3 + 0*j**4 + 3 + 0*j. What is the second derivative of b(n) wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 8*l**3 - 449390*l**2 - 112348*l = 0.\nAnswer: -1\/4, 0, 56174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2*(2 - 8). Suppose -4*r - 4*x + 20 = 0, 4*x + 5 + 3 = 3*r. Suppose 0 = -d + r*d. Sort -1, c, d in ascending order.\nAnswer: c, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 15*n - 18*n. Let u(x) = -1 - 320*x**2 + 33 - 34*x + 2*x. Let r(y) = 29*y**2 + 3*y - 3. Let c(m) = n*u(m) + 32*r(m). Let k(o) = -o. Give k(c(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.07, -0.10647, 0, 2.8?\nAnswer: -0.10647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 3*m**2 - m**4)*(145 + 170 - 149).\nAnswer: -166*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 - (-21 + 10). Differentiate -6*m**3 + x - 5*m**3 + 3 + 0 wrt m.\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r*r)\/((r**(-2)*r)\/r*r)*(r**(4\/7)\/r)**(7\/5) assuming r is positive.\nAnswer: r**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 6. What is the remainder when 16 is divided by j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25748?\nAnswer: 2, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 6. Let c be r(0). Let d = 8 - c. What is the remainder when 5 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -638, -2541, -5712, -10151, -15858?\nAnswer: -22833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 + (-25005)\/(15\/(-3)) is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**4 + k**2 + k + 1. Let q(g) = -6*g**4 - 7*g**3 + 4*g**2 - 12*g - 7. Let r(w) = -5*q(w) - 35*y(w). Factor r(u).\nAnswer: -5*u*(u - 5)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9554 is divided by 562?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, 4\/7, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 6)*(4*z - z - 2*z) - 5*z - z + 4*z + 6*z - 11*z + z)*(2 + 1 - 4)*(-3 + 0 + 5)*(4 + 9 + 3).\nAnswer: 224*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*n + 8 + 24, -5*c + 20 = 0. Is 1 - n\/(-2) - (-543 + -2) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 675187136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -34356000 to the nearest one hundred thousand.\nAnswer: -34400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(-3\/2))*k\/(k\/k**(1\/23)*k)*(k**(-2\/17))**4 assuming k is positive.\nAnswer: k**(-2289\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 930260920*d - 54086586204952900.\nAnswer: -4*(d + 116282615)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/6)\/((-1)\/(-57)). Is 21 a factor of p\/(-9) + (-6)\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2 - 3*b - 165.\nAnswer: 3*(b + 5)*(2*b - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13446936 less than 13446933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9399, -9400, -9401?\n\"Answer: -w - 9398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*6\/(-32). Let m = 0.32928 - -0.07072. What is the second biggest value in m, f, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-52)\/24) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 340\/21 != 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74641, -5, -6.\nAnswer: -6, -5, 74641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13676607 is divided by 4558862.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.85 - 6. Let r = -0.396 - -0.146. Let f = r - o. Which is the second biggest value? (a) 5\/4 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2 (c) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w - 18*w - 22*w - 4*w**3 + 61*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625 > 1628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/4 + 5*y**2 - 1. What is the second derivative of r(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2333\/24 or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/((-406)\/(-11368)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*n**5 + 6*n**4 - 58622*n**3 + 3045022*n**2 + 2?\nAnswer: -1800*n**2 + 144*n - 351732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4. Let q be c(0). Let m(f) = f + 5. Give m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/38*8*2\/52. Let l = -0.03 - -0.43. What is the biggest value in l, -5, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226369.\nAnswer: 11, 13, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + q - 6, -5*d + 0 + 14 = -q. Solve 5*r + d = 7*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**(-49)*z**(-6)\/(z*z**(2\/15)) assuming z is positive.\nAnswer: z**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -42*c + 19\/2*c**2 - 1 - 41\/6*c**3. Differentiate b(r) with respect to r.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*u - 10*u - 16*u)*(-2 + 1 + 3)*(-49 - 6 + 3)*(0 + 0 - u) as t*u + f*u**2 + v and give f.\nAnswer: -1768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12318602, -24637202, -36955802, -49274402, -61593002?\nAnswer: -73911602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19294 + 19295.45. Which is the biggest value? (a) -5 (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 3806?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -14*p**5\/5 + 9*p - 12. Differentiate m(l) with respect to l.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 - -59 - (-5 + -7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 36 + 12. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) - (2592\/42)\/(-6). Let x(y) = 6*y**2 + 14*y - 146. Let f be x(n). Calculate the greatest common factor of f and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512821224?\nAnswer: 2, 3, 7122517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*m + 0*m**3 + 3\/5*m**4 - 3\/5*m**2 + 0 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (320\/(-192))\/((-10)\/76)*(-9)\/6\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 104. Let v be y(30). Let p = v + 62. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31166 + 19754 - 4086 + 14589 - 1446 - 6117)*(-4*w**3 + 2*w**3 + w**3).\nAnswer: -53860*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -352*s**3 - 24*s**2 + 56. Let k(c) = 6*c**3 - 1. Give 112*k(d) + 2*o(d).\nAnswer: -32*d**3 - 48*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-12) - (-9)\/2. Suppose 1191 = -9*g + 1281. Suppose -g*q = -w*q. Solve 6*a - a + 15 = q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, c: 2, v: 2, z: 1}. Give prob of sequence zcc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n**4 + 2*n**3 + n - 61 + 110 - 50 - 3*n**2 to the form c*n**3 + o*n**2 + v + d*n + z*n**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 974 divided by 4990?\nAnswer: 487\/2495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 14*g - 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hibhsbv. What is prob of picking 1 h and 2 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669799.\nAnswer: 13, 67, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-119490)\/28450)\/((-14)\/80).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 - 230. Solve -2*i = -4*j, 9*j = -3*i + 4*j + c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/8)\/(56\/78400*-35)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12) + -2*sqrt(12))*6.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 12:18 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 28*u**3 + 2*u**2 - 2*u + 1. Is 7 a factor of j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*s + 4*d - d, -2*s - d + 6 = 0. Suppose s = 4*q - 6. Solve -3*n + 5 = j, 0 = -q*j - 3*n + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3\/3 - 236539*u**2\/3 - 14024383904*u\/3 - 4338735185756\/3 = 0.\nAnswer: -118114, -311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(363) - (sqrt(363) + sqrt(363) + 0)) + -2 + -4)**2 - ((sqrt(45)\/sqrt(3))\/sqrt(5) + (sqrt(3) + sqrt(147) + 0)**2)).\nAnswer: 207 + 131*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from kllkkklkkklllykkklll?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3*(-21)\/(-2). Let y(c) = 2 + 6*c + 2 - r*c. Let a(g) be the third derivative of -g**4\/24 + 5*g**3\/6 - 86*g**2 - 2. What is -4*a(w) + 5*y(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*g = -146*g + 36. Suppose -g*i + 24200 = -20*i. Round i to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 11 + (-9 - -4) - (-1 + 1)) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (161 - 213 - (-13 + -1)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 11*z + 16. What is the remainder when 55 is divided by p(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:01 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*a = 3*a - 7, 0 = a + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(171))*2*3)**2 + (2 + sqrt(1900) + sqrt(1900) + -3 + sqrt(1900) + 1 + sqrt(1900) + (1 + sqrt(1900))*4)**2.\nAnswer: 2584*sqrt(19) + 177344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**3 + o**2. Let l(c) = -c**3. Let q be 1 + 2 - 14\/(-7)*-2*-2. Suppose 1 + 1 = i. Determine i*n(r) + q*l(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275 and 22803?\nAnswer: 570075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5859, 5861, 5863?\n\"Answer: 2*o + 5857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/4, -2, -0.2 in decreasing order.\nAnswer: 1\/4, -0.2, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -341.292629 - -341.3. Round c to four dps.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4905 divided by 981.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2813510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3870\/4257)\/((-1)\/11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*n - 82*n - 9*n**2)*((4 + 2 - 5)*(3*n - n - n) - 2*n - 4*n + 4*n - 2).\nAnswer: 9*n**3 + 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 717\/(-315) + 2 + (-3)\/15. Let k = -13\/42 - i. Suppose j - 5 + 0 = 0, 4*d + j = -55. Sort 5, k, d.\nAnswer: d, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44098536851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74153352824 + 3.7.\nAnswer: 74153352827.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1*(-7 + 4). Suppose q*k + 3*c = 180 + 54, 0 = k - 4*c - 78. Suppose 0 = -5*v + 263 - k. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/6902 - 41543\/904162. Let u = -3025\/262 - n. Find the common denominator of u and -57\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 3, -299, -1.\nAnswer: -299, -14, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/117 + -1\/39. Let q = 16 - 16.7. Let p = q - -0.7. What is the closest to -1 in r, 1\/4, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1217, 1\/3, -614 in increasing order.\nAnswer: -614, 1\/3, 2, 1217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26108095 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50567926.\nAnswer: 2, 223, 113381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 172237, 172191, 172109, 171985, 171813, 171587, 171301, 170949?\n\"Answer: -p**3 - 12*p**2 - 3*p + 172253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/347048 and -25\/9776.\nAnswer: 694096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113.07*-5.\nAnswer: -565.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - 16) + 48 + -51.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w - 437993 = 6694895. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1149*n + 3 - 934*n)*(-5*n + 23*n + 20*n) in the form c*n + y + p*n**2 and give p.\nAnswer: 8170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8)\/((m\/m**(3\/5))\/m))**(-1\/7))**(14\/3) assuming m is positive.\nAnswer: m**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*x = -1, -2*u + 2*x + 3 = -1. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 3, y: 6}. Give prob of sequence ywwy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = 8*v - 75. Sort v, -1, 5, 0 in descending order.\nAnswer: 5, 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 7. Let r be v(5). Let g(j) = -17 - 6*j + 3*j + 1 + 1 + 24. Let s be g(r). Calculate the highest common factor of s and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by -1.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from {u: 2, x: 1, p: 1, a: 1, l: 1, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + 3\/(-7). Let s = t - 5\/14. What is the closest to s in -3, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 238833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 + 7*v**2 - 22*v - 17. Let s(z) = 3*z**3 - 6*z**2 + 21*z + 15. Give -6*o(n) - 7*s(n).\nAnswer: -3*n**3 - 15*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3\/4165 (c) 74 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2018319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 119, -5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5990.66352 rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p*r**4 - 14*p*r**2 - p - 67*r**5 - 3*r wrt r.\nAnswer: 48*p*r - 4020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 5 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1733456, 3466897, 5200324, 6933731, 8667112, 10400461?\nAnswer: 12133772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1155+-632.6\nAnswer: -1787.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:17 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*9\/(-12)*(-10)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 13*d - 28. Let t be u(3). Solve 16 = 4*w + t*m, -w - 1 = m - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 9*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00909 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217276322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*4\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -30*o + 7. Give l(4).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 748 = 3*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < -2001\/242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7818932*a**4 - 2*a - 7586356 wrt a?\nAnswer: -93827184*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 282447.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -381 + 405. Suppose -5*v - 4*o = -83, -3*o + 9 - 3 = 0. Calculate the smallest common multiple of j and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 678916 (c) -1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 14 = 2*w, 5*j = -3*w - 69 + 56 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:49 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41144460 and 11755560.\nAnswer: 82288920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -135, 2.4.\nAnswer: -135, 1, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 2*a + 0*a)*(-9*a + 95*a**3 + 11*a - 6*a**3) to the form o*a + j + g*a**3 + t*a**2 + l*a**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3630567.\nAnswer: 3, 359, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -111)\/(60\/(-90)). Let s = x - -841\/5. Find q such that 0 + 0*q**3 + 0*q - 1\/5*q**2 + s*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + -2 - (sqrt(637) + 2))**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1253.2017 - -0.2017. Let s = 1256.258 + m. Let w = s - 3.3. Round w to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 19*p**2 - 17*p + 60. Let h be t(-20). Is h > -1\/485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2140 is divided by 530.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c - 4. What is the greatest common divisor of c and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 0 + i + 11\/2*i**2 - i**3. Let k(f) = -f + 2. Let x = 19813 + -19807. Determine x*b(w) - 33*k(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -22\/9, 0.3, -4, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3\/4, 4, 1\/1341?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -2.1. Let d = -1.4 - h. What is the second smallest value in d, -1, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -24. Suppose g + 3*q + 4 = 0, 5*q - 10*q = -5*g. What is the closest to 2\/17 in m, -2\/9, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from jydjove.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 110 + 153 - 43.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-9)\/(-189)*(-6)\/4). Suppose m = -m + a. Suppose 3*z - 27 = 4*x, 3*z - 41 + m = -3*x. What is the greatest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 0.071, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179*c*j**3 + 5*c*j**2 + 3*c*j + 32*c + 37*j**3 - 92*j + 4 wrt j.\nAnswer: 1074*c*j + 10*c + 222*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15844448317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 39*h**3 - 315*h**2 - 1323*h.\nAnswer: -h*(h - 21)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 226*r + 1368.\nAnswer: -(r - 684)*(r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.453 + -8.434085. Let t = -20.998085 - n. Let a = -21 - t. What is a rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 5*b + 5. Let n be j(-2). Suppose -1 = -q - n. Put q, 0.1, -1\/5 in descending order.\nAnswer: 0.1, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.20114901 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1448333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146417226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 - 232 = 2*i. Let a = 7997\/39 + i. Is 0 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12381 - 12369.242. Round h to one decimal place.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19968 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n - 73. Let o be q(-10). Suppose -4*h = 3*c - 130, o*c - 175 = 3*c - 5*h. Find the common denominator of 4\/9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-87)\/(-6))\/(6\/120000). What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565934, -1131923, -1697968, -2264075, -2830250, -3396499, -3962828?\nAnswer: -4529243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -x + 232, -5*n - 176 = -x + 62. Suppose 3*t = -4*u + 619, 0 = u - 7 + 3. Suppose 3*b - x = 4*l, -3*b + 40 + t = 5*l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -96 - 1?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0605 + 1.9395. Sort q, -4\/7, -4 in ascending order.\nAnswer: -4, -4\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55809 is divided by 1198?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 6*g**2 - 2*g - 3. Let p be n(-6). Factor -2*u**2 + 0*u**2 - 5*u**4 + p*u**4 - 2*u**2.\nAnswer: 4*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6\/7 (b) -1228 (c) -2\/19 (d) 17 (e) -8 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + f - 3. Let h be r(-3). Let z(j) = -j - 1 + 0*j + h + 2. Calculate z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57031 + v - 4*v + 0*v - 56902 as a*v + t and give t.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -25. Suppose -2*h - 5*k + 45 = -0*k, f = -3*h + k + 76. Let p = h - 23. Solve 2*v + 4 + p = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1167 + 15*r - 1152 - 20*r**3 + 36*r**2 - 21*r**2. Let b(m) = -5*m**3 + 4*m**2 + 4*m + 4. Let k be 22\/11 + 1 + 1. Determine k*s(v) - 15*b(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -64*c - 1153. Give n(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798*i - 9 = 3*j + 795*i, -3*i + 30 = 4*j. Let r = 16 - 10. Solve l = 2*t + r, l + 3*t + 6 = -j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 2629*q - 4366*q.\nAnswer: -6995*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*d**2 - d**4 + 54*d**2 - 16*d**2 - 2 - 2*d to o*d**4 + z*d**3 + n*d**2 + s + h*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129392 - 63639. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22001010 (base 3) in base 12?\nAnswer: -3486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3233*b + 116341. Determine r(36).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 6, m: 7}. Give prob of picking 1 i and 1 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4097771 - -1461?\nAnswer: -4096310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -33. Calculate the remainder when (1 + (3 - -22))*2 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 0 + (18 - 20 - -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1645496, -3291003, -4936508, -6582011, -8227512, -9873011, -11518508?\nAnswer: -13164003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -30*v + 3. Let a = -2459 - -2460. Determine g(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 5. Suppose -5*r + 8*r + 4*p = 11, 5*r - 5*p + 5 = 0. Let c = 0 + r. Let x(i) = -1 + 3 - c. Determine -d(z) - 4*x(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794882988.\nAnswer: 2, 448720747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -19. Let y be (0 + -7)*m\/(-21). Let u = -3\/46 + 119\/414. What is the nearest to u in 0, -0.4, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179 or 5939\/33?\nAnswer: 5939\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 17 + 103 - 9)*((-1 - q + 1)*(5*q - 4*q + 0*q) + q**2 - 2*q**2 - q**2 - 19*q**2 + 5*q**2 + 8*q**2).\nAnswer: -1008*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 9*k**2 - 8*k + 21. Suppose -5*u + 25 = 0, 3*u = 4*v - 0*u + 55. Let q be g(v). Let r(s) = s**3 - 1. What is r(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/220)\/((-690)\/1007400).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose 870*c - 48 = 866*c. Suppose -203*f - c = -204*f. Solve 5*r = -u*j - 3, r - j + f = 2*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 59789*y - 119582.\nAnswer: (y - 2)*(y + 59791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263469\/22 + 11972. Find the common denominator of 109\/14 and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 3*y**2 + y - 2. Let c be o(-2). Let f(b) = -2*b + 16. Let m be f(c). Suppose -9*x = -7*x - m. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:52 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8\/5)*u**(4\/13))\/(u**(2\/23)\/((u*u**(-5))\/u)))**42 assuming u is positive.\nAnswer: u**(-400554\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkosessskssosssksm. Give prob of sequence kfm.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/124 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*f + 3*p, -10003*p + 3331*p = -3*f - 3333*p - 3338*p - 41 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:16 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -719, -748, -767, -770, -751, -704, -623, -502?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + o + 1. Let d(x) = 2*x**2 + x + 1. Let p(l) = l**2. Let r(c) = d(c) - 3*p(c). What is -r(j) + u(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 10 = -35. Let v(t) = 10 - t**h + 0 - t**2 - 16 + 7. Determine v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7655.219l?\nAnswer: 7655219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b - 8 = -88*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*z**2 - 14 + 1662*z + 2*z**3 - 1662*z.\nAnswer: 2*z**3 + 269*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 726.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5086\/(-12715))\/(2\/80)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 35*q**2 - 7*q - 1. Suppose -2*p + 0 = -2. Let t(r) = -r**2 + r. Let i(z) = p*x(z) + 6*t(z). Is 27 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(1331))**2.\nAnswer: 5320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*o - 3*n, -3*o - 9*n + 6*n - 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*2 + sqrt(8) + -3*(sqrt(80)\/sqrt(10) + sqrt(8)) + sqrt(8) + sqrt(8))\/((sqrt(200)\/sqrt(10))\/sqrt(5) + 2*((sqrt(4) - 1*sqrt(4)) + sqrt(4))).\nAnswer: 17*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v**2 + 6*v. Let k(o) = 33*o - 26. Let t(h) = 5*h - 4. Let m(r) = -6*k(r) + 39*t(r). Calculate m(u(g)).\nAnswer: 27*g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*i - 130, 0 = -3*i - 0 + 6. Suppose -12*d + z = -4*d. Let y**2 - 7*y**3 - 4 + d*y**3 + 4*y - 2*y**2 + 5*y**2 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {j: 1, w: 4, o: 2, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 39 - 12. Let d = -14 - i. Let m be 2\/16 - (-3)\/12. What is the biggest value in d, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*u - 25, 8*i - 13*u + 15*u + 10 = 0. Let s(r) be the third derivative of i*r - 8*r**2 + 0 - 35\/24*r**4 - 11\/2*r**3. Differentiate s(w) wrt w.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 4) in base 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-32))\/(6\/12))\/((-2)\/52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10000001111010010001 (base 2) to base 7\nAnswer: 4344231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 6*f - 9. Let t be l(7). What is the tens digit of (-6)\/4*t*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22011112010 + -11?\nAnswer: 22011111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 1.91 (b) -7 (c) -0.16 (d) -4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46384272 and 784512?\nAnswer: 371074176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by -95238\nAnswer: -14\/47619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 5*z**2 + (3*z - 3*z + z)*(2 + 3*z - 2).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1294792417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1788.7149 months?\nAnswer: 14.9059575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -179127, -179201, -179275?\n\"Answer: -74*c - 179053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7 or 953\/5481?\nAnswer: 953\/5481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - 1.94. Let h(o) = 80*o - 1681. Let t be h(21). Put 4, 2\/549, t, q in ascending order.\nAnswer: q, t, 2\/549, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60321, 120620, 180921, 241224?\nAnswer: 301529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1360881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2 - 17*b + 7. Let p be (-162)\/(-36)*8\/(-12). Give r(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45289, 90493, 135697?\nAnswer: 180901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 10*u**2 - 2*u. Let y be m(10). Let c be (-126)\/(-8) + (-5)\/y. Let f = 13 + -13. Solve -4*k + z + z + 8 = 0, f = 4*k - 4*z - c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -132, -357, -786, -1485, -2520, -3957, -5862?\n\"Answer: -11*m**3 - 3*m**2 - m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 28 + 2*v - 11 - 41)*(-2*v + 16*v + 2*v).\nAnswer: 32*v**2 - 1664*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -49*h**3 - h**2 + 1. Let q be u(-1). Suppose 2*v + r - 17 = 0, -3*v + 5*r = -9 - q. Suppose 4*w = v + 9. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -822.568 + 825. Round b to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*f + 4*n, -n + 8 = 5*f - 2*n. Put f, -1, -8 in ascending order.\nAnswer: -8, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-24)\/3)*-2*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14926.7 - 14927. What is the third smallest value in g, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-83)\/(-3) - (1 + (-36)\/27). Calculate the greatest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = -65. Let u = p + -8. Let v = u - 0. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 964515 and 24112875?\nAnswer: 24112875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70381 is divided by 576?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 + 4*c - 4. Suppose 2*b + 13 + 13 = 0. Let q = b + 9. Calculate g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-2\/3))**8\/((z**(2\/17)\/z)\/(z*z*z**(-1\/3))))\/((z\/(z**0\/z))\/(z*z**3)*(z*(z\/z**(-2\/3))\/z)**8) assuming z is positive.\nAnswer: z**(32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.168 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24*l**2 + 3*l + 2. Let a(g) = 73*g**2 + 8*g + 5. Calculate 3*a(t) - 8*p(t).\nAnswer: 27*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2181 + 3677. List the prime factors of q.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224448 and 1197056.\nAnswer: 3591168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:51 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 689 - 1654. Let k = q + 965. Let w = 17\/5 + -18\/5. Which is the closest to 0? (a) w (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3088, 24686, 83312, 197482, 385712, 666518, 1058416, 1579922?\nAnswer: 2249552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/5 - 213\/(-45)*3. What is the greatest common divisor of 35 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:31 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-7)\/(84\/(-150))*(-8)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 3\/(-2))\/(2\/12). Suppose 0 = 2*k - 2*i - 27 + 11, 0 = -4*k - s*i + 32. Calculate the remainder when 9 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba (base 15) to base 6.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) 8 (c) 0.4 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -e4 (base 15) in base 5?\nAnswer: -1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 1\/3 (b) 1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -1873, -3116, -4267, -5296?\nAnswer: -6173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 4*u + 2. Suppose -44*f = -45*f + 2. Let r be (-9)\/f*7\/((-126)\/(-12)). What is t(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -145 and 24523.\nAnswer: -3555835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 - 3 + 910*l - 1 - 3 as c*l + j and give c.\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + g + 21 = 0, -q - 2*g = -5*q - 28. Let w = 333 + -5663\/17. Sort w, 3, -3, q.\nAnswer: q, -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471892 times 2?\nAnswer: 943784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*m + 28*m + 128*m.\nAnswer: 194*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiifsifyiyscfsfsc. What is prob of picking 2 y and 1 f?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 52.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -7*u**4\/8 - u**3\/2 + 909*u**2. Let y(v) = 7*v + 1. Determine 3*w(t) + 8*y(t).\nAnswer: -7*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*u + 6 = 0, 1 = 4*i - u + 3. Suppose 4*g - 6 = z, 2 = g - i*g. Factor -c - 2\/3*c**z + 1\/3*c**5 - 1\/3 + c**4 + 2\/3*c**3.\nAnswer: (c - 1)*(c + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 28 = -2*l - 7, 0 = 4*r - 2*l - 6. Suppose 2*v + m = -0*m + 86, -r*m - 152 = -4*v. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 5, -5.\nAnswer: -107, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 62230866 divided by 1517826\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -0.03495.\nAnswer: 0.46505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**32*z)**(-4\/29)\/(z**(-4\/31)*(z*(z**(-9\/5)\/z)\/z*z)\/z))**(43\/2) assuming z is positive.\nAnswer: z**(-156821\/4495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Suppose 0 = -5*h - 1 + 6, -5*t - 3*h = -13. Let m(r) = -10*r**2 - 10*r**2 + 8*r**2 - 26*r**t. What is y(m(q))?\nAnswer: -2888*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95415747 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 196\/(-14) + 7 - (-10715 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -2482?\nAnswer: 2486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 x, and 1 s when four letters picked without replacement from {f: 1, y: 4, s: 6, x: 3}.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -13 + 226. Let o = -86 - -98. Calculate the remainder when g is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341420413 - 103?\nAnswer: -341421021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0675*4.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1452) + sqrt(1452)*2 + (sqrt(432) - 2*sqrt(432)) + sqrt(432))\/(-2*2*sqrt(726)).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17594 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-300))\/(642*(-7)\/(-112)).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)*k**(-3)\/k)\/(k**1*k\/(k*k**10\/k)))**(-1\/9) assuming k is positive.\nAnswer: k**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {y: 3, k: 3, x: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*i - 59, -3*i + 4*h - 45 + 10 = 0. Let x(y) = 9*y - 5. Let j(u) = -26*u + 14. Let r(p) = i*x(p) - 6*j(p). Is 6 a factor of r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -698*c - 21529. Give o(-31).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12012, -13, 0, 3\/7, 1 in decreasing order.\nAnswer: 1, 3\/7, 0, -13, -12012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -6527?\nAnswer: 1\/6527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35927478 and 432.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 12*o - 4*o - o - 8*o.\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1740956, -3481909, -5222862, -6963815, -8704768, -10445721?\n\"Answer: -1740953*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/12060 and -85\/238788.\nAnswer: 1193940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 822*p**4 + 2838?\nAnswer: 3288*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let j(l) be the first derivative of 57*l**2\/2 + 99. Determine q(j(u)).\nAnswer: 3249*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3. Suppose 0 = 2*v + 3*d - 5, -13*d - 13 = 2*v - 16*d. Is v smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/7)*m*(m\/(m*m**(-3\/7)*m*m))\/m assuming m is positive.\nAnswer: m**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3927 and 12315996.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/33 and 101\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7000 - 21002\/3. Which is the second smallest value? (a) z (b) 1\/6 (c) -1\/7 (d) -10 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 6:16 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/408 and -149\/12.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-24) - 46\/(-8). Suppose -t - d*w = t - 102, 5*w = t - 81. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 44. Let m(p) = 11*p + 2. Calculate the remainder when m(3) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/902 and -97\/4.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(147)).\nAnswer: -14*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b2 - -7891?\nAnswer: 7a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 1\/7 (c) 3 (d) 18.4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 12. Let s(b) = b**2 + 5*b + 4. Let v be s(-4). Let j(d) = d + 10. What is the lowest common multiple of j(v) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -918\/5. Let n(h) = -h. Let s be n(-5). Let i = 8\/15 + -14\/15. Which is the nearest to i? (a) d (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (sqrt(36)\/sqrt(192) - (sqrt(108) - sqrt(108)*-2)) - (sqrt(48)*-2 - ((2*sqrt(36) + sqrt(36))\/sqrt(12) + -3*sqrt(12)\/sqrt(4))).\nAnswer: -39*sqrt(3)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s - s - 5*m, 5*m = 4*s + 4. Let u = s + 4. Is (1 + -2)\/(u\/22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 + -37 + 19 + 27 + -3 + 0 + 8.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3114*k = -3183*k - 1242 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100 (base 2) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 a when four letters picked without replacement from sqsaaqqa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/sqrt(441) + -5 + (-5 + sqrt(11) - sqrt(11)) - ((sqrt(176)*-1 - sqrt(11) - 1*sqrt(891)) + -3))*-3)**2.\nAnswer: -1782*sqrt(11) + 991908\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3, -22, -2, 14, -5 in ascending order.\nAnswer: -22, -5, -2, 3\/8, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -0*k - 3*k + b, -k - 61 = -3*b. Let f = 66 + k. Calculate the remainder when 7 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + g**5 + (14*g**3 - 14*g**3 + 12*g**3)*(10*g**2 - 2*g**2 + 5*g**2).\nAnswer: 157*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*b - 5*y + y, -4*b - 4*y + 88 = 0. Calculate the lowest common multiple of b and 3705.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*i**4 + i + 2*i**3 - 2*i**2 - 2*i + 3*i - 3*i**3 - 49*i**4 in the form m*i**4 + l*i + z*i**3 + k*i**2 + d and give m.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-one quarters of a microsecond?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 3. Let o = -36 + 33. Let r be y(o). Let z(u) = -u**3 - u**2 - 11. Give z(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 - 31*n - 26. Let q = 82 - 47. Let r = -24 + q. Let t(z) = z**2 - 6*z - 5. Let h(o) = r*t(o) - 2*m(o). Find k such that h(k) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 21*c. Let r(w) be the first derivative of -2*w**3\/3 - 11. Calculate h(r(u)).\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1784.96 + -1785. Let t = 0.4 + 0.1. What is the nearest to 2\/7 in g, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3685 - -3741. Solve 0 = 24*p - 10*p - g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26.3? (a) 5 (b) 2 (c) -164 (d) 9 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -269550*r**3*w + 3*r**2*w - 68728*r*w wrt r?\nAnswer: -1617300*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/272*2222\/(-1353). Let u be (-674)\/(-1968) + (-2)\/6. Let d = j + u. Is d > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5234 and 15702.\nAnswer: 15702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**4\/12 + 3*f**3 + 27*f**2. Suppose 21 = 2*n - 5*n. Let c be u(n). Are c and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/(((h*h**2\/h)\/h*h)\/h)*h)\/h))\/h)\/h**(-1\/11))**(-47) assuming h is positive.\nAnswer: h**(-47\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - -18 - (0 + -4). Let s = g - 13. Suppose -5*v - 1780 = -s*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24313 is divided by 209.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + z**3 - 4*z**3 + z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6620 less than 0.109158?\nAnswer: -6619.890842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698, -892, -1208, -1646, -2206, -2888, -3692?\nAnswer: -4618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -10710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 34 - 14. Let g be 10*(h - 7\/2). Suppose g*t + 109 = 2*j, -3*t + 355 = 5*j + t. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/6 of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1 (c) -6.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19980 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d + 17. Let g be n(6). Let r be (108\/126)\/((-3)\/g). Solve 0 = r*t + 2 - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92\/5 - 89\/5. Put 2, p, 0.05 in ascending order.\nAnswer: 0.05, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317439, -634848, -952257, -1269666, -1587075?\nAnswer: -1904484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 5, -48, -2\/7, -1, 16 in ascending order.\nAnswer: -48, -1, -2\/7, -0.12, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -466674, -466667, -466656, -466641, -466622, -466599, -466572?\n\"Answer: 2*b**2 + b - 466677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -18. Let m(v) = 2*v - 10. Let u be m(f). Solve 14 = -2*b + 3*a, -u*b = -3*b - 5*a + 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2 + 2982*y - 2974.\nAnswer: -2*(y - 1)*(4*y - 1487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 8641400.76.\nAnswer: 8641400.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + z**5 + 0*z**5 - 2*z**5 - z**5 + 4*z**5 + (-z**2 + 3*z**3 + z**2)*(5*z**2 - 3*z**2 - 3*z**2).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942*-9*8\/(-108) is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -14089, -72 in decreasing order.\nAnswer: 0, -5, -72, -14089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 36)*(-2*s + 1 - 5*s + 3*s) + 1031*s - 18 - 10 - 1029*s in the form m*s + c and give m.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 7740205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 1, z: 3, f: 1, o: 1}. What is prob of picking 1 i, 1 r, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240.275 + 240. Round q to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {q: 3, u: 2, d: 3, e: 9, z: 1}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -110, -20, 5382 in ascending order.\nAnswer: -110, -20, -3, 5382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = z - 5. Let f = z + 15. Calculate the remainder when f is divided by (-1)\/(-6)*(-35)\/(385\/(-726)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + (1 + sqrt(75) + 5 + 0 - (4 + (1 + sqrt(75))*2)))**2.\nAnswer: 60*sqrt(3) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(7) + -3*(sqrt(7)*-2)**2) - (sqrt(567) - (1*sqrt(567) - sqrt(567)))**2.\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -41*h - 75. Let f be z(-6). Calculate the greatest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(4 + (-4 - 2)). Suppose y*l = 23 + 33. Suppose 0 = 2*a - 4*a + l. What is the highest common factor of 112 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88998 and 6846.\nAnswer: 88998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from {g: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (-5 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by (7\/(-2))\/((-30)\/60).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10)**(-16\/9)\/(l*l**(3\/10)*l\/(l\/(l\/(l\/l**(-2\/65))))) assuming l is positive.\nAnswer: l**(-4457\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 24 + 31 = 5*f, 5*f - 48 = -r + 5*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 + 204*p**2 + 176*p - 1682. Determine x(-67).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 5*p**2 - 8*p. Let o(s) = -8*s - 4. Calculate the smallest common multiple of o(-2) and y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t + 45*t + 3 - 30*t + 18*t + 2*t**3.\nAnswer: 2*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*m**2 + 178*m**2 + 182*m**2 + m**2 - 543*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13\/3, -5\/4, 18 in descending order.\nAnswer: 18, -5\/4, -2, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 + 7472*v + 351119. Calculate f(-50).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = 60. Let q = 42 - 28. Calculate the highest common divisor of q and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c5 (base 14) to base 12\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*x + 7 = 0, 5*u - x = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 - 6*f + 4. Let x be s(6). Let u = -9 + -5. Let h(q) = 3*q + 41. Let m be h(u). Put -2, m, x in descending order.\nAnswer: x, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5 - 113*t**4\/2 - 1039*t**3 - 14843*t**2\/2 - 19138*t - 7840 = 0. Calculate t.\nAnswer: -28, -16, -7, -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(195\/123) - 6\/39. Suppose -r*s - 51 = 108. Let m = -38 - s. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 z when three letters picked without replacement from zuuzuzjezeju?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347 or 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971324 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220029 and 2201?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/266 and 56\/5?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 2*g + 34, 2*k - 1 = 5*g + 48 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2196\/3685 + 3\/737. Let k(d) be the first derivative of 3 + 3\/4*d**2 + 3*d + 1\/4*d**6 + t*d**5 - 3\/4*d**4 - 2*d**3. Determine g so that k(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5))**(-13) assuming q is positive.\nAnswer: q**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -312?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n. Solve n = -k + 2 + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - (-46563)\/(-1577)) + 78.\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12794360 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - y + 3*y)*(19*y**2 - 37*y + 17*y + 17*y) in the form i + a*y + o*y**2 + r*y**3 and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -93*z + 1445. Calculate the least common multiple of s(15) and 3\/(2\/(-70)*-3).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + -4)*((-6412)\/8 - 3). Let c = -924 - y. What are the prime factors of c?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2 - (-19)\/9). Let l be ((-6)\/9)\/(1\/x). Suppose -2*n + l = 2. Solve 0 = -5*r - 4*w, -2*w + 5*w - 23 = n*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-124)\/(-156) - 1\/3. Let l = -44\/39 + v. Which is the third biggest value? (a) 4 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -22.000132. What is y rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92734 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: Suppose -184 = g - 3*g. Let s = g + -142. Let w be (6\/s)\/((-1)\/5). What is the second biggest value in 0.2, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/2, 0, -4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2*j + j + 0*j + 3*j - 4*j + (2*j - 2*j - j)*(1 - 2 + 2) - j + 2*j - 2*j + 2 - 2 - j - 2680 + 2680 + 1109*j + 0 + 0 - 3*j.\nAnswer: 1104*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 3\/2*f**3 + 0*f + f**2 + 0 + 1\/24*f**4. List the prime factors of z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2080386436.\nAnswer: 2, 520096609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 5*q + 1. Let t be g(5). Let d be t\/(-3 - -2) + 18. Suppose -2*p = -3 - d. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 - 3*x - 3. Let s be w(3). Suppose -s = -3*o + 30. What is the remainder when 41 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x. Let i(l) be the first derivative of -l**6\/45 + l**5\/12 + 92*l**3\/3 + 155. Let v(u) be the third derivative of i(u). What is 6*p(z) + v(z)?\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-6 + 2 - -1) - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -72645\/749 bigger than -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -52 (b) -117 (c) 1\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38.7 + -38.5. Put 1\/6, v, 2, -9 in descending order.\nAnswer: 2, v, 1\/6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 16, -5*b + 4*m = 1456 - 1445 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b\/b**(4\/11))\/b))\/(b**(-24)\/b))**(-1) assuming b is positive.\nAnswer: b**(-268\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p - 8667 = -30425. What are the prime factors of p?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 141 - 44 + 79*l**2 - 50.\nAnswer: 79*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645896950?\nAnswer: 2, 5, 31, 1061869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85.37 + 85.37. Let z = 38 + -23. Which is the closest to -2? (a) -0.5 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l - 4*s - 56 = 0, l - 3*s = 2. Let a be (-90)\/(-144)*(-4)\/l. Factor 3\/4 + 1\/4*y**2 + 5\/4*y - a*y**3.\nAnswer: -(y - 3)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 3*v - 5*v - 2*v**2 + 0*v - 3. Differentiate p(b) with respect to b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -299*w - 1. Let y be l(1). Let r = -90 - y. Suppose r = 36*d - 31*d. Calculate the remainder when d is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, j: 7}. What is prob of picking 3 j?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32315233?\nAnswer: 2467, 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2098, 4193, 6292, 8395, 10502?\n\"Answer: 2*h**2 + 2089*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + -2 + 7 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*f - 57*f + 2*f to u + k*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 859229 to the power of 1\/2, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (43\/(-2) - -3)*(4 + -18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -37*g - 66 + 4*g**2 - g**2 - 2*g**2 - 4*g**2 - 2*g = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -14. Let d = 3.1 - t. Let g = -365\/2 - -1093\/6. Which is the nearest to -2? (a) g (b) d (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v**2 + 2*v + 3. Let f(k) = 21*k**2 - 3*k - 5. Let h(j) = -3*f(j) - 5*g(j). Give h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5742\/3828)\/((9\/2)\/1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:05 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 334*k**3 + 4*k**2 - 8*k?\nAnswer: 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 7*w + 1. Let m be j(-10). Suppose 0*o + 3*o + m = -4*d, 3*o + d + 19 = 0. Sort -10, -2, 0, o in decreasing order.\nAnswer: 0, -2, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 8464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 8*k**2 + 15*k - 11. Let l be w(9). Let v = -37 + l. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229344663 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4 - 2*u + 3 - 5. Let h be i(-5). Suppose h*n = -0*n + 52. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-70)\/(-28))\/((-5)\/(-6)). Solve -15 = -a*v, 4*j - 8*j - 2 = -2*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17*o**3 - 19*o + 38. Determine q(5).\nAnswer: 2068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 14*j**2 + 19*j + 194. Give s(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbzzbzbbzbbz?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -54 (b) 0.2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 3*(sqrt(117) + -1*sqrt(117)))\/sqrt(9).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*f - 279*f = -134*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -102, 1, -0.5, -67?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/3))\/u)**(-9\/7))**14 assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*a + 40. Factor -a*g**2 + 0*g**4 - 27\/2*g**5 + 0 + 36*g**3 + 8*g.\nAnswer: -g*(g + 2)*(3*g - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 16 - 11*f - 11*f**2 - f**2 - 3*f. Let x be l(13). Solve x*u = 2*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1485713\/195 - -7619. Let m = 25\/39 + i. Let 36\/5*h - 6\/5*h**2 + 24\/5 + m*h**5 + 0*h**4 - 21\/5*h**3 = 0. What is h?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29227925403748352*b**2\/5 - 1450658688*b\/5 + 18\/5 = 0. What is b?\nAnswer: 3\/120888224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 25, -51, 5, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 1, c: 1}. Give prob of sequence kc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-27)\/(108\/8)*-1*(-950)\/(-20)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32\/21 + -1\/7. Let h = -3294 - -2085. Let z = h - -4757\/4. Find the common denominator of v and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*d = -18*d - 3725 + 42655 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.42? (a) 1038 (b) -1\/6 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose -2*i - 50 = -4*w, -68 = -4*w - 3*i - n. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3857, -4115, -4373, -4631?\n\"Answer: -258*o - 3599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3 - 22*r**2 - 76859*r + 230748 = 0.\nAnswer: -268, 3, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60630089591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 38. Determine j(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - c - 11 + 14, -c = -5*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -228389000 rounded to the nearest one million?\nAnswer: -228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -56*o + 13. Let w(r) = -12*r + 3. Let y(u) = -f(u) + 4*w(u). Calculate y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197378 rounded to the nearest one thousand?\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3706736 to the power of 1\/2, to the nearest integer?\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/14, -0.5, -1\/4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270654000?\nAnswer: 2, 3, 5, 79, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) + 2 + sqrt(704) - (sqrt(66)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upy when three letters picked without replacement from {u: 4, p: 1, y: 6}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 15 - (18 - 52 - 22) - 18.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 26267*r**2 - 12 + 26026*r**2.\nAnswer: -241*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -675 + 1415. Suppose 2110 = 5*l + x. Let n = -128 + l. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-3*8\/(-60))\/(85\/146200*43)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**3 - 30*y**2 - y**3 + 4800 + 2158*y - 78*y + 117*y**2 + 85*y**2 = 0. Calculate y.\nAnswer: -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28092\/11897 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/40*2 - 2\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3566402196 to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 22*j**2 - 4. Determine x(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/85 + -5681\/1190. Let w = -2\/2641 - -23791\/29051. Find the common denominator of t and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 3*q - 4*m, -4*q + 3*m + 535 = 155. What is the least common multiple of 238 and q?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 37 = -3*l, -3 = 5*t - 4*l - 12. Let q = 67\/4 - 17. Which is the biggest value? (a) 4 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c6 (base 13) in base 11?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2314.039112 - 2237.3979. Let n = q + 41.358741. Let y = n + -118. What is y rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h**2 - 12*h - 5. Let z be u(6). Let b = -134 + z. Suppose 8*w - 3*w - b = 0. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-351)\/(-15) + 1416\/2360.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*p**4 - 80610*p**2*r + 2004*r - 72 wrt p.\nAnswer: -132*p**3 - 161220*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6. Suppose -l*f + 184300 = -v + 1304299, -v = 3*f + 1680001. Round f to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64671 is divided by 913.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide (0 + 9885\/(-10))\/((7\/10)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1827*z - 1118*z + 347 - 335 + 618*z + 1785*z.\nAnswer: 3112*z + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s + 31. What is c(21)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -127 * 296\nAnswer: -37592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1567*d**2. Let m(u) = 1288*u**2 + 2*u. Determine m(k(p)).\nAnswer: 3162669832*p**4 - 3134*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2548620, 10194470, 22937558, 40777890, 63715472, 91750310?\nAnswer: 124882410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {a: 2, i: 5, d: 1, c: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-87))\/((-5)\/(-2))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 + 16*k - 18. Calculate t(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1626 and 20?\nAnswer: 16260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*i + 228*i - 32 = 0. Calculate the smallest common multiple of i and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -20, 28 = 4*f - h - 1. Suppose -3*a + 2*c = -518, -2*a - 3*a + 866 = -2*c. Calculate the highest common factor of f and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*2 + sqrt(242))**2*-2 + -2.\nAnswer: -4358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 + (-4 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 14*k - 44. Find the common denominator of k*(-616)\/324 + 3 and 181\/30.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 506*j + 2020. Calculate r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (98\/28)\/((-1)\/2). Let s(a) = -a - 4. Let p be s(f). Suppose -1\/2*q**p + 1\/2*q - 3\/2 + 3\/2*q**2 = 0. What is q?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (0 - -9)) + (-15 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 4*u**2 + u - 3. Let y be o(-3). List the prime factors of (y - -10) + (-2)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 7. Suppose 4*t + 40 = -b, -3*t - 3*b - 47 = 2*b. Let o = 12 + t. Sort d, o, -2 in decreasing order.\nAnswer: o, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 85753, 171507, 257261, 343015?\n\"Answer: 85754*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 5143a?\nAnswer: -51440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080506319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 16*j - 2. Let c be h(-16). Let w(o) be the first derivative of -372*o**2 - 11*o - 3. Is w(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6641?\nAnswer: 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.101 - -0.033. Let j = -0.434 + h. Put -0.5, -2, j, 3\/4 in descending order.\nAnswer: 3\/4, j, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9686.138l to millilitres.\nAnswer: 9686138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14522970331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:56 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/10 (b) -6 (c) 4 (d) 2\/9 (e) 15 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -123. Let u = 16.1 - 16. What is the closest to m in u, -2, 16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40671893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.608 = -0.011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:12 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 248207 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 - 1 = 0, -4*t - 32 = -3*b. Suppose -10*x = b*x - 21*x. Put -4, x, 5, 8 in decreasing order.\nAnswer: 8, 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6660 by 3330.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 85*x + 843. Calculate m(-9).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24618 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -77686 - 0.9418?\nAnswer: -77686.9418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5691458 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 25356498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.6283 litres?\nAnswer: 44628.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/13, 10.3, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:04 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.5 (b) 0.12 (c) -1 (d) 234 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 47. Calculate c(45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 12584 = -4*n, 2*o = 9*n - 8*n - 3150. Is n less than or equal to 3142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1557, 1552, 1545, 1536, 1525?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2456 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:42 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q - 100. Differentiate 48*b + 7 - q - 12 with respect to b.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:21 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/8234942 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15*g + 1415. Let x(j) = -6*j + 707. Give 3*o(f) - 7*x(f).\nAnswer: -3*f - 704","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 + 17*a - 65. Determine x(5).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0584064 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -142265 divided by 5\nAnswer: -28453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116 - 3258 + 1114 + 1029 + 142*h**3.\nAnswer: 142*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -15*y - 3. Let c(i) = -5. Let k(n) = -4. Let g(p) = -3*c(p) + 4*k(p). Let t(f) = a(f) - g(f). What is the derivative of t(l) wrt l?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0572275 and -0.3.\nAnswer: 0.01716825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 160?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 0*w**2 + 0*w**2 - 2*w + 0*w**2 - 7*w**2 - 2. Let l(y) = 4*y**2 + y + 1. Give -3*k(u) - 5*l(u).\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -202201112 (base 3) in base 8?\nAnswer: -35403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 2*a**2 - 2521*a - 38. Give z(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) -355 (c) -0.3 (d) 3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 + 1592*q**2 - 1594*q = 0.\nAnswer: -797, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 - -238. Solve n*q - 4 = 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28548 and 955032?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*n**4 + 350*n**3 - 4*n**2 - 28509?\nAnswer: 24*n**3 + 1050*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u + 86. Let g be m(7). Determine x so that 0 + 4\/3*x**g + 2\/3*x = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 0.11, 3.\nAnswer: 1\/11, 0.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 times -6342?\nAnswer: 177576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/287453 and 16\/1073.\nAnswer: 8336137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329 - 324. Let p be x + ((-105)\/6)\/7. Find d, given that -p*d - 25\/4 - 1\/4*d**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9797*p - 39186. Give z(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(8\/7)*q**(-10)\/q)**(1\/27))**(-6\/5) assuming q is positive.\nAnswer: q**(46\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(189)\/(sqrt(27)\/sqrt(3)))\/(sqrt(7) + sqrt(112)*-5 + -5*sqrt(14)\/sqrt(2)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -3, 2 in descending order.\nAnswer: 2, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855378 (base 10) in base 3?\nAnswer: 10111021002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*c*f*q*x - 51*c*f*x + 2*c*q*x - 2*c*q + 205*c - 3*q*x - 1 wrt q.\nAnswer: 12*c*f*x + 2*c*x - 2*c - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -100011111011 (base 2) to base 16\nAnswer: -8fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - i = 13, 33*u - 4*i - 28 = 37*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(30)\/sqrt(6)*6.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 11*o**2 + 1520*o - 13842. Determine m(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5396166 is divided by 2698082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3907 - -3909.00125. Let c = 1 - 3. Let a = h + c. What is a rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + p - 2*p)*(0 - 2*p + 0 + (2 - 2 - 5)*(-7*p + p + 3*p)) in the form x*p**2 + u + j*p and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68771\/15344 - -718\/137. What is the common denominator of 1\/63 and y?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1834, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -31*a + 1761. What is the remainder when a is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 2*i**2 - i - 49. Let c be h(0). Let b = 51 + c. Solve 3*j = -2*l - 8, -5*l + b*j + 0 - 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -285.0681 + 0.0681. Let d = 290 + v. Which is the closest to -1\/5? (a) -14 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33174 - 33171. What is the third smallest value in 0.01, -4\/31, -3, j?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**3 + 7*t**2 + 5*t + 4. Give c(-3).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {y: 3, q: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 72*c**2 + 2*c. Let y be i(-1). Suppose 4*g + 6 = y. Solve 4*v + g = -x, 10 - 2 = -2*v - 4*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffsfssfsffsssffffff. What is prob of sequence sf?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87426*z**3 - 63994*z wrt z?\nAnswer: -524556*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n)\/n)**35\/(n\/((n**(1\/3)\/n)\/n))**(-9\/7) assuming n is positive.\nAnswer: n**(-466\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14130349 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*x - 1333 = -5938 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 1. Let t(o) = -7*o + 32*o**3 - 580 - 33*o**3 + 594 + 6*o + 3*o. What is -t(j) + 2*z(j)?\nAnswer: j**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -430, 3, 2, 36 in increasing order.\nAnswer: -430, 2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -8\/3 (c) -4081.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1699880 + 2845*n + 1699880.\nAnswer: 2845*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33701 is divided by 602?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3062141500 to the nearest 1000000.\nAnswer: 3062000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) + 285\/(-55). Let m(k) = 2*k**2 + 13*k - 1. Let q(f) = f**2 + 6*f - 1. Let d(o) = -2*m(o) + 5*q(o). Give d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let q be (-11)\/(-4) + (-14)\/(-56). Let s = 1373 + -1371. Solve 0 = 3*g - 2*f + i, -q*f - 2 + 5 = -s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -25*z**4\/4 - z**3\/3 + z**2\/2 + z + 28. What is the tens digit of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 312 - 213. Suppose a = v + c, -6*v + v - 497 = -3*a. Calculate the remainder when 9 is divided by (-1 - 52\/(-44)) + v\/(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + -0.8. Let f = -152.68 + 152.48. Put f, t, -0.4, -4 in ascending order.\nAnswer: -4, t, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 12*t**3 - 19*t**3 + 34*t**3 + 3*t**2 as n*t**2 + l*t**3 + z + b*t and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*j - 7*j**2 + 3*j**3 + 493158 - 493158.\nAnswer: 3*j**3 - 7*j**2 - 171*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1408*o**4 + 5*o**2 + 1386. Let a(h) = -2*h**4 - h**2 - 1. Let s(t) = -5*a(t) - q(t). What is the derivative of s(i) wrt i?\nAnswer: -5592*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196491 is divided by 2642.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = 5. List the prime factors of w\/(-1)*-1 - -118.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -380, -375, -368?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c - 1. Let n be d(-1). Let k(o) = 105*o + 4*o**2 - 4 - 9*o**3 - 98*o + 8*o**3. List the prime factors of k(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37901\/24 - 1583. Find the common denominator of q and 47\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 30, 24, 18?\n\"Answer: -6*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -131.04 and -145.299629.\nAnswer: -276.339629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1095924, -2191804, -3287686, -4383570, -5479456?\n\"Answer: -w**2 - 1095877*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 66*s + 9*s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q + 0*q - 20*q**5 + 22*q**5 wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/3*k + 1\/3*k**2 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 40 + 33 + 62*k**3 - 8*k**2 + 6)*(0*k - 5*k + 15*k) in the form c*k + z*k**3 + i*k**2 + j + f*k**4 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2 - 56*b - 630. What is m(-6)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5679404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6658809 is divided by 47905.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5855, 11643, 17429, 23213?\nAnswer: 28995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 1\/155621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 1, -38, 5\/299?\nAnswer: 5\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2 and -23\/18898.\nAnswer: 18898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4710510694632 + -0.07\nAnswer: 4710510694631.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168175391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 17 - 4. Let i be ((-22)\/t)\/((-2)\/(-3)). Let o be i\/66 - (-29)\/6. Which is bigger: o or 13\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = -1. Let a(g) = 1 + g**3 + 2 - 6*g**2 + 7*g + v - 3. What is a(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5987775814?\nAnswer: 2, 2993887907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z - 37. Let k be g(-7). Let f be (-3911)\/2814 + ((-234)\/k)\/(-13). Let u = f - 2\/21. Are u and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36714\/(-207))\/(6\/(-9)). Let h = -266 + p. Let t be 1\/(-2) + 27\/18. Is h < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 8:55 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168, 337, 532, 753, 1000, 1273?\n\"Answer: 13*h**2 + 130*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-224)\/6 - ((-35)\/(-21) + -1). Let s = 61 + f. Let t = s - 21. Solve 2*n - v + 11 = -t*n, 4*v = 2*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 708692593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 3. Let o(n) = n**3 + 11*n**2 + 11*n + 15. Let r be o(-10). Let s be c(r). Suppose -s*v = 3*v - 10. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28559706144994 + 0.3.\nAnswer: -28559706144993.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009389 to four dps.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Suppose j + l*y - 25 = 0, 3*j - 2*y = -y + 43. Solve -j = -s - 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*v + 9 + 95. Solve -v*k = k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 21*h. Let u(b) = -32*b. Calculate -5*u(f) - 8*w(f).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -4261491.\nAnswer: -4261491.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 14 - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**2\/2 + 12*u - 4. Suppose -88*c + 1070 = 19*c. Calculate t(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + 16*q**4 + 3*q + 1232*q**3 + 0*q**2 - 2*q**2 - 1234*q**3 as k*q**2 + j*q + m + p*q**4 + c*q**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**3 - 16*l**2 - 22*l - 11. Let v(n) = -5*n**3 + 16*n**2 + 22*n + 17. What is 3*g(i) + 2*v(i)?\nAnswer: 2*i**3 - 16*i**2 - 22*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q**3 + 33*q**2 + 24*q. Is a(-9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - u**3 + u**3 - 2*u + 18 - 70 to d*u**3 + s*u + i*u**2 + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -52?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1488422 divided by -78338.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 2*o + 2*o + (-4 - 2 + 0)*(0*o + 0*o + 2*o) - 3 - 2*o + 7*o + 2*o.\nAnswer: -7*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4 + 6*m + 7 + 5*m - 3*m - 2. Let y(n) = -9*n - 1. Determine -4*b(u) - 3*y(u).\nAnswer: -5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 28 - 30 = 0, 0 = -5*o - 5*m + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2\/13, -46977, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96251149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*x - 53595, -5*p - x - 89295 = -10*p. What are the prime factors of p?\nAnswer: 2, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 divided by -2974?\nAnswer: 463\/2974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(704) + 1)*-4.\nAnswer: -32*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -14, -84, -242, -524?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*((k**(-20)\/k*k)\/k)\/k)**11 assuming k is positive.\nAnswer: k**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*1*16\/(-56). What is the second derivative of 2*o - g*o**5 - 2*o**5 + 0*o**5 wrt o?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/5)\/(2*1\/(-35)). What is the highest common divisor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i + 2*i**3 - 3*i + (-i - 2*i + 2*i)*(-2*i**2 + 4*i**2 - 3*i**2) + (i**2 - 2*i**2 + 0*i**2)*(i - 6*i + 3*i) - 81 + 6*i**3 + 81.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590*i + 1594*i + 3*v + 21 = 0, -2*i + 3*v = -21 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifths of a millennium in decades?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -238\/5 + 48. Let z = d + -7\/30. Is -1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2. Let m(c) = -4*c + 1. Let s(u) = -4*u - 3*u + 17*u - 7*u - 2. Let a(n) = 4*m(n) + 5*s(n). Calculate a(t(l)).\nAnswer: l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50423690*s**2 - 21784542 wrt s.\nAnswer: -100847380*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025, 1022, 1009, 980, 929, 850, 737, 584?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*h**3 - 638*h**3 - 371*h**3 - h + h + 11*h**3 + (0*h + h**2 + 0*h)*(-1 + 1 - h) - 2*h**3 + 4*h**3 - 4*h**3 as i*h**2 + v*h**3 + u*h + k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3328600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(234)*-2 - sqrt(234))\/sqrt(6))\/((sqrt(3) - sqrt(3)*3)*4).\nAnswer: 1 + 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyrirriyrrrikyirkrr. Give prob of picking 2 i, 1 g, and 1 y.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477034.9 litres to millilitres.\nAnswer: 477034900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1 - 37*t + 238*t + 100*t. Let r be y(-3). Let l be r + 2\/(-4)*-4. Round l to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 10*i**2 - 8*i + 11. Let v be s(-9). Suppose -4*m + v*w = 3200000, -4*m + 7*m - 5*w + 2400000 = 0. Round m to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980)*-2)\/(sqrt(45)*-2) + (sqrt(121) + 1*sqrt(121)*1)\/(2*sqrt(176) + sqrt(11)))**2.\nAnswer: 4400\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 17*w**2 + 4*w - 252. Let g be p(-18). Are -1222\/11 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 11*z**3\/3 - z**2\/2 + 8*z. Let v(m) = -89*m - 6. Let b(y) = -253*y - 17. Let w(r) = 6*b(r) - 17*v(r). Give a(w(h)).\nAnswer: -110*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + r**3 - 1 + (r - 4*r + 0*r)*(2*r**2 - 2 + 2) - 1075*r**3 - r**2 - 28*r + 78*r - 50*r.\nAnswer: -1080*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 18, 4*c = 23*r - 25*r - 20352388. Round c to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/74827519 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 286, 430, 574?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 - 88*x**4 + 1000*x**3 - 3440*x**2 + 4764*x - 2232 = 0. Calculate x.\nAnswer: -31, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 5*l**2 + l**2 + 18*l**2 - 9 + 10*l. Let m(i) = -7*i**2 - 4*i + 4. Calculate -4*a(p) - 9*m(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y + 2*d - 7*d, 4*d - 24 = -5*y. Suppose 2*a = y*a + 752. Let m = a - -1563\/4. Calculate the common denominator of m and 105\/58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(6\/16 + (7790\/(-400) - -20)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 11 - 5*b + 3*b to the form i*b + l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 517188?\nAnswer: 3620316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273*g*q**2 - 133*g wrt q?\nAnswer: -546*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -87331 <= -436652\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -198, -69, 148, 459, 870?\n\"Answer: a**3 + 38*a**2 + 8*a - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 469386*m. Let d(j) = -4*j**2 - 4*j. Give d(o(u)).\nAnswer: -881292867984*u**2 - 1877544*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8 times 0.05?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:42 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -e4d (base 15) in base 12?\nAnswer: -1a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1065.4891*-6.\nAnswer: -6392.9346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11548 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28\/123 + 5267\/984. Calculate the common denominator of 5654\/(-4840) + 2\/(-11) and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 - 5 = 0. Suppose 4*g - 154 = -j, -147*g + 93 = -144*g - 3*j. Sort v, g, 0 in increasing order.\nAnswer: 0, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a - 107. Let g be t(-16). Solve 2*p - g = -15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5*(sqrt(88) + sqrt(88)*-1))\/(3*sqrt(16)\/sqrt(2))*5)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkkddrqr. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -61290 divided by 1135?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Suppose k = -4*a - 2, 1 - 6 = 5*a. Suppose l + 0 - 2 = d, 0 = -k*l - d - 8. Put l, s, -4 in decreasing order.\nAnswer: s, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1742 - 1770.29. Round j to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vovu when four letters picked without replacement from {v: 3, o: 3, u: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 489. Let b = -8002 - -8024. What is the highest common factor of b and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28855 + 28907. Solve w = 54 - n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 411? (a) -245458 (b) -0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*t**2 - 7*t**3 + 16*t**2 - 60*t**2 to the form z*t**2 + y*t**3 + v + l*t and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d + 22*d + 14127. Is d > -833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 35, 72, 123?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.120505095 rounded to 3 dps?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + 222120?\nAnswer: 1000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, 4, 0, 72, -0.16, 13 in decreasing order.\nAnswer: 72, 13, 4, 1\/5, 0, -0.16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose 0 = -3*g + 5*t - 4, -2*g = -2*t. What is the second derivative of -5*i**b + i + 2*i**2 + i**g wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s + 14. Let y be r(-2). Let x = -4 + 9. Sort y, 4, x in ascending order.\nAnswer: y, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from llllmmhhmm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*q + 663 - 4233. What is the remainder when 1526 is divided by q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -263.21 + 263.262784. Round b to three decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, r: 8, f: 1, v: 1}. Give prob of sequence df.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33258.\nAnswer: 2, 3, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 70*m - 69. Let n be v(-71). Calculate the greatest common divisor of 278 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 36999071?\nAnswer: -3\/36999071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110110100 + 0?\nAnswer: 111110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39851, -79652, -119453, -159254, -199055?\nAnswer: -238856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-40)\/(-1680))\/((-57)\/426) and -71\/294?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 171*d + 2057. Let b be r(13). Solve b*f - 9 = 0, 8 = 4*m - 4*f + 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100202 (base 3) to base 10.\nAnswer: -992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 1458\/105)\/((-96)\/2160)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209 (base 13) to base 11.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 45 = -13*f. What is the greatest common factor of f and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 8*b**2 + 7*b - 12. Let q be o(-9). Let h(m) = 2*m**2 - 6*m - 3. List the prime factors of h(q).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3769.165 micrograms in grams?\nAnswer: 0.003769165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2940*a - 2935*a - 14*k + 83 = 0, k = -a - 1 - 8 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*f**2 + 128*f**2 - 45*f**2 - 41*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 373541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18574000 rounded to the nearest 100000?\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 3. Let o be d(3). Let a(m) = 186*m - 10974. Let h be a(59). Solve o = -2*b - h*q + 4*q + 2, 4*q = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -2\/61, -4, -1389, -2\/13?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5)\/a)**(-2\/21))**(2\/47) assuming a is positive.\nAnswer: a**(4\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -31*o**3 - 26*o**2 + 16*o - 31. Let y(r) = -6*r**3 - 5*r**2 + 3*r - 6. Let w(c) = 2*b(c) - 11*y(c). Let h(k) = k**3 + k**2 + 1. Give 3*h(d) - w(d).\nAnswer: -d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 3 (c) 4\/7 (d) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00712153156 to seven dps.\nAnswer: -0.0071215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 22 (b) 2\/5 (c) -5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 (base 16) in base 4?\nAnswer: 211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 not equal to 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*l + 13 + 12 = 0, -7*g = -l + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*q = -2*g, 4*g + q - 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x, g + 4*g + 5*x + 15 = 0. Let c = g + 5. Suppose 3 = c*m - 1. What is the third biggest value in m, 1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*x + 39040 = 15910. Which is greater: x or 255?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3, -0.1, 7, 0.0268 in ascending order.\nAnswer: -3, -1, -0.1, 0.0268, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40742715 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 1 - (-1903 + 1932).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -739*m - 720*m + 2869*m - 758*m - 709*m + 56 to the form d + x*m and give d.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468 and 281848710.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*279\/(-272025)*30\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 41\/5*f**2 + 174\/5*f - 216\/5 + 1\/5*f**3 = 0.\nAnswer: -36, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**2 + 4*p - 5*p - 3*p**2 - 3*p wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o + 40 = 44*o. Suppose 11*v + 4 = o*v. Let s be (-4)\/(-16) + (-307)\/v. Calculate the highest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1869*o**2*s**2 - 26*o**2 + 205*o*s**2 + 60*s**2 - 7*s + 2 wrt o?\nAnswer: 3738*s**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 + 85. Suppose 168 = 4*t - m. Let k = -51 + t. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 349 - 229. Suppose 23*d - c = 20*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = -4*i + 1, 4*i = 4*l - 32. Let q(k) = 18*k + 5. Let z(p) = -p. Let v(a) = 93*a + 24. Let n(o) = -3*v(o) - 18*z(o). Calculate l*n(x) + 72*q(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*m - 11 + 26, -3*p + 5*m = -7. Suppose 3*g + 2*g - 10 = 0. Is g at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397980 to the power of 1\/2, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -6) + 1 - 17) + -26.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -103. What is the nearest to -1\/4 in -5, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bddb. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-5))\/(9\/(-10)). Let j = 0.05 + -0.35. What is the closest to v in -5, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-51)\/(-12) - 3\/(-12). Suppose -2*z - 5 = j, 0 = -z + 4*j - 3 - 4. Sort p, z, 2, -2.\nAnswer: z, -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -97\/6. Let t = -56.1 - -56. What is the third smallest value in 4, t, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 + 3*l - 1. What is the remainder when h(-3) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -3\/20 (c) 7.46 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 4, x: 8, z: 2}. What is prob of sequence dr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44086427 and 88946?\nAnswer: 1146247102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 352598 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76363804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 9768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2160 + 0.2\nAnswer: -2159.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11784223 to the nearest integer?\nAnswer: 3433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -4095?\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = 4*x + x + k, 0 = -3*x + 4*k + 217. Suppose -5*v = -0*v - x. Solve -3*p - 4*o - 6 + v = 0, 3*p = 4*o + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, -0.7441, -0.4.\nAnswer: -0.7441, -0.4, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 982\/17676 - 137\/(-126).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.9. Let s = 767731.98 + -767732. What is the closest to 1\/5 in -2\/3, 0, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 3*m. Let n(o) = o**2 - 3*o + 1. Let j(q) = 2*n(q) + 3*v(q). Give j(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1691857 and -41.2.\nAnswer: -1691898.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(910\/24) + (-38)\/247?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/56 and -13\/1541547.\nAnswer: 12332376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -364 not equal to -2189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 199?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 - 55 = -t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*j + 19*j - 2*j**2 + 42*j + 29*j + 10*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -2. Suppose 4*g - 93*z + 96*z - 17 = 0, 5*g - 7 = z. Put 1, -18, g, m in descending order.\nAnswer: g, 1, m, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**7\/105 + 7*k**5\/30 - k**4\/2 + 381*k**2 - 2*k. Suppose d(b) = 0. What is b?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*4\/(-32)*8\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-12 + -9 + 10) - (-1 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1472 and 1469 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 6 + 3 - 5. Let x be y(7). Solve 3*i + x = -6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*z - 27 + 48 = 0, -9 = -5*j - z. Suppose -36 = -0*u + 4*u. Sort j, u, -3, 0.\nAnswer: u, -3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z + 1\/3*z**3 + 0*z**2 - 4. What is the derivative of b(u) wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176575706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.433995 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*w = -229*w + 12. Let n be -1 + (-124 - 1) + -2. Let x be (n + 2)\/3 + (8 - w). Is x <= -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/4152417 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z + 2 - 2)*(-z - 2*z**2 + z) + (-2*z - 2*z + 3*z)*(3*z**2 + 4*z**2 - 5*z**2) - 727*z + 73*z**3 + 727*z.\nAnswer: 89*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28754, 20271, 11788, 3305?\nAnswer: -5178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -225? (a) -4 (b) 6 (c) 4\/35 (d) -11 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, e: 3}. What is prob of picking 1 e and 3 k?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 107\/4?\nAnswer: 107\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -h. Suppose h*x + x = 6. Factor x*a + 4*a**2 - 7*a**2 - 2*a - 3*a.\nAnswer: -3*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -1337?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = 4*t - 38, 5*m = 3*t - 37. Let h = 5 - t. What are the prime factors of (h - 2\/3)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 - 934554*n**2\/7 + 72782598243*n\/7.\nAnswer: 3*n*(n - 155759)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*5\/80*0. What is the smallest value in 2\/9, 2\/5, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 407 - 269. Let z = -94 + g. Suppose -z = 10*j - 12*j. Calculate the least common multiple of 4 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4943106 is divided by 411925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4656382g in micrograms?\nAnswer: 465638.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 183426552 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**4 - 2*g**2 - g - 364?\nAnswer: 36*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 3)*(0 + 78 + 12)*(-3*g + 2*g + 2*g) + (2 - 1 - 3)*(-2*g + 4*g + 0*g) + g + g + g to f + s*g and give s.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7056) + (-2*sqrt(7056) - sqrt(7056)))\/((sqrt(7) - sqrt(63))*-2) + 1.\nAnswer: -6*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 10*k - 68 = -22*t + 25*t, 45*t + 740 = 4*k for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -1 - -6 - 1. Suppose f + 2*f - 9 = 0, w*f = 3*i. Find the second derivative of p - p**i + 8 - 8 wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-225)\/(-2)*(-2 + 10). Suppose p = -3*t + 2*p + 680, 0 = 4*t - 3*p - x. Put 2, t, -1 in descending order.\nAnswer: t, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42098*x + 40035*x = -55701 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d + r - 22, 0 = -2*d + 4*r. Suppose u + f - 59196 = -3*u, -29584 = -2*u - d*f. Round u to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 4. Let w(r) = r + 5. Determine -6*d(q) - 4*w(q).\nAnswer: 8*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/183439212 and -11\/48.\nAnswer: 733756848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23998 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + -2*(-58)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5\/t**6*(t*t**(1\/3))**(-20\/3)*(((t\/(t**(-8)*t))\/t)\/(t*(t*t*t\/(t*t*t*(t\/(t**(1\/5)*t))\/t*t*t)*t*t)\/t*t))**(-13\/7) assuming t is positive.\nAnswer: t**(-5923\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 118*i**2 + i - 1. Let n(q) = 4*q**2 - 5*q - 3. Let p be n(-2). Let c be (-9)\/54 - p\/6. Is b(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2598876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28e - 0?\nAnswer: -28e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.2 (b) 11\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 + 9\/(-4). Let s be l*((-51)\/6 - 0). Let k = s + -5. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34303 < 34305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9304 - -9314. Let s(u) = -2*u**2 - 5*u + 2. Let d(p) = 3*p**2 + 9*p - 3. Give b*s(k) + 6*d(k).\nAnswer: -2*k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 295725, 591426, 887127?\n\"Answer: 295701*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 28367.42 micrograms?\nAnswer: 0.00000002836742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/8? (a) 2\/3 (b) 29 (c) -0.4 (d) -8 (e) -3.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4451 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + -6*(1 + sqrt(1872))*4)**2 + 4.\nAnswer: 50688*sqrt(13) + 4315028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5*s - 23 = 0, 9*l + s = 7*l + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3560 (base 7) to base 16.\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-315))\/((-4)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Let k be (-1 - n) + 3 + -3. Suppose -o**2 - k + 1 + 3*o**2 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 1, 3, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 228b (base 16) to base 15\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y + y**2 - 2*y + 0*y + (-2*y + 2 - 2)*(0*y + 0*y + 2*y).\nAnswer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 3838653.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/2 - -1. Suppose o = -2*o + 2*r - 2, 2*r = 4*o. Let m = 2466 - 2466. Sort m, o, j.\nAnswer: j, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*u. Suppose k - 5 + 0 = u. Let x = -1 + k. Solve -i = x*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 33186, 8 in increasing order.\nAnswer: -16, 8, 33186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -57?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 185?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 10356*k - 20708*k + 10347*k + 3*k**2 - 5*k**2 + k**2 + k**2 + (k + 4*k - 3*k)*(-3*k + k + 3*k) to the form p + n*k**2 + v*k and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -826014 by -426.\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-6)\/(-4)*(-22)\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 68*b**2 - 2*b + 73. Calculate p(34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1204 = -3*t + 434, -3*p = -5*t - 2476. Let x = -156 + p. Calculate the highest common divisor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.3, 96, -102?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 148 + 129 + 1229*j**3.\nAnswer: 1229*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -491 + 490.999808. Round l to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:52 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(27)\/sqrt(9) + -2 + (sqrt(33) + (sqrt(297) - -1*sqrt(297)))\/sqrt(11).\nAnswer: -2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.00918 to 3 dps.\nAnswer: -1.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-286)\/328 + (-1)\/(-4) and -9\/8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10590020 a multiple of 1129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 2*v - 1. Let s be l(-1). Let u(m) = 1429*m**2 - 4*m + 7. Let r be u(7). Suppose g - r = -s*g. Round g to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2109*y**3. Let l be o(2). Suppose u = -2*u + l. Suppose -2176 = -z + u. Round z to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) 5 (c) -23\/5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*((-33)\/(-12) + -4). Suppose -5*t + 6*t - h*f + 1 = 0, -7 = -t - 3*f. What is the third derivative of 0*n**4 + 0*n**t - 8*n**2 + 5*n**4 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-4)\/(-2)). Let o(q) = q**3 - 5*q**2 + 4*q + 1. Let v be o(3). Let p = v + 5. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16752\/7 + 2393. What is the biggest value in w, 2\/17, -44?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4641715043 take away 0.2?\nAnswer: -4641715043.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Let i = v + 2.3. Suppose 5*a + 0 + 15 = 0. What is the nearest to -2\/7 in a, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(153)*1*1)**2 + -3.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -16*f + 44. Let c be w(3). Let m = 137 + -104. Put c, m, -2 in increasing order.\nAnswer: c, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4635 + -4632. Let s(v) be the second derivative of 1\/20*v**5 - 28*v + 1\/24*v**4 + 0*v**i + 1\/60*v**6 + 0 + 0*v**2. Let s(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 12*b - 53. Determine f(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s + 4*b + 53, 5*b - 80 = -2*s. Let u = 16 + s. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 74*l**3 - 11*l**2 - 11*l + 11. Let u(k) = -37*k**3 + 43 - 3*k**2 + 9*k**2 + 158*k - 49 - 152*k. Determine -11*u(n) - 6*x(n).\nAnswer: -37*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13d + -5?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/420 and 167\/14941200.\nAnswer: 104588400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 - 36953*m - 63275400 = 0. Calculate m.\nAnswer: -35153, -1800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -4*l**3\/3 + 17*l**2 - l - 695. Determine c(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 317223169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1, -1\/2, -14, -2\/109, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 4*q**2 - 3*q**2)*(5*q - 4*q + 0*q + (0*q + q + 0*q)*(-2 + 1 + 2) + 0 - 3*q + 0).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 12*j + 965982. Let u be (-42)\/(-6 + 13) + j. What is u rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15112338 is divided by 1379.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 9*v**2 + 4*v + 35. Let n(c) = -c**3 - 10*c**2 - 2*c - 12. Let s be n(-10). Let z be k(s). Solve -z = -h + 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 203, 216, 223, 218, 195, 148, 71, -42?\n\"Answer: -s**3 + 3*s**2 + 11*s + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 74*(-17)\/17*(-5)\/10\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(560) - sqrt(560) - sqrt(560))\/((sqrt(15)*-2)\/sqrt(3)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3683.44 milligrams to kilograms.\nAnswer: 0.00368344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/7)\/(h**4\/h*h))\/(h**0\/(h*(h\/(h\/(h*h*h**0)*h))\/h)))\/(((h**(1\/4)\/h)\/h)**(-5\/6)*h\/h**(-2\/11)*h\/(h*h*h**(-1\/4))*h) assuming h is positive.\nAnswer: h**(-10621\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 17702870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22728 - -37988. What is y rounded to the nearest 100?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62476474.\nAnswer: 2, 31238237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**3 - d**2 + 21*d**3 + 3*d**2 - 2*d**2.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77705417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 22 - 62 + 1 + 0 + 2 + 0 + 3 - 2 + (1 + 2 - 2)*(3 + 0 - 1))*(357 - 28*z - 357).\nAnswer: 112*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5856*p**2. Let g(v) = 43*v - 2. What is g(y(r))?\nAnswer: 251808*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 778*h**2 + 4730*h - 3967. Give n(-395).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:31 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-46)\/14 - (-48)\/266. Let t = 0.2 - 0. Which is the closest to t? (a) m (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2203 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8006354.1 and -3?\nAnswer: 24019062.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 3.4. Let z = -1.7998 + -1.7934. Let n = z + u. What is n rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (353*h + 43 - 8 - 35)*(-h + h - h**2)*(0 + 0 - 2*h).\nAnswer: 706*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 15623.\nAnswer: 62492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2423772 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 + 1211*a + 10945. Calculate s(-9).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1513881 divided by 9.\nAnswer: -168209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4135 (base 6) to base 2.\nAnswer: -1110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 15 - 0. Suppose 3*c = -3*l - 6, 9*l - 4*l + y = -4*c. Let r(i) = i**3 + 2*i**2 - 5*i + 2. What is the tens digit of r(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j - 10. Let r(k) = k + 1. Let z(o) = b(o) + 5*r(o). Let w be (13\/(65\/10))\/((-2)\/5). Is z(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 38. Solve 0 = -5*p + t*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -104309, -104246, -104197, -104168, -104165, -104194, -104261, -104372?\n\"Answer: -t**3 - t**2 + 73*t - 104380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -12.02. Let w = x - -0.02022. Round w to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-215)\/(148135\/(-636)))\/(15\/40).\nAnswer: 32\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271024637.\nAnswer: 13, 41, 508489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 3*w - 3. Let p = 21 + -35. Let y be -65 - (-1 + 2 - 3). Let t be y\/p*2\/3. Give b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.965865 + 0.034135. Let u = 5.1 - 5. Let w = 0 - 0.2. What is the smallest value in j, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgf when three letters picked without replacement from cggsfow.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 16*d**2 - 76*d + 4509. Let y(z) = 3*z**2 - 14*z + 901. Give -2*g(l) + 11*y(l).\nAnswer: l**2 - 2*l + 893","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*m + 7738277 = 7740407 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*l = 6, 6*w + 5*l + 258 = 243 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1463*t**2 - 1464*t**2 - 79*t + 2927*t**2 - t**3.\nAnswer: -t**3 - 79*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 0.15, -4, -0.5, 0.17.\nAnswer: -4, -3, -0.5, 0.15, 0.17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20136497 from 7004.\nAnswer: -20129493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*c - 197*c + 404*c.\nAnswer: 76*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:37 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2377a47 (base 11) to base 4.\nAnswer: 33302211030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -12012?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((4 + 5*sqrt(176)*-2 + ((0 + sqrt(176))*-4 + sqrt(176) - sqrt(176)) + sqrt(176))*2)**2.\nAnswer: -9984*sqrt(11) + 714240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1727*k**2. Let g(o) = 21504 - o - 21504. Calculate g(z(a)).\nAnswer: -1727*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g**3 - 10*g**2 - 712*g - 157. Let w(n) = 3*n**3 + 2*n**2 + n - 2. Let i(c) = -d(c) - 5*w(c). Differentiate i(l) with respect to l.\nAnswer: -3*l**2 + 707","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1200311320?\nAnswer: 1200311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.64.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(1\/2)*i)*i)*i)**(-1\/23) assuming i is positive.\nAnswer: i**(-5\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -70, -76, -84, -94?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-9)\/(-12))\/((-7)\/(-3024))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -21*y + 522. What is the remainder when t(-15) is divided by 65?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/21000 and 19\/160.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148251*b**5 + 275819*b.\nAnswer: -2965020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -1036\nAnswer: 31080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*x = -38, 3*x - x = 3*v - 52. Suppose -v*t = -4*t - 1764. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 298 - 92 - 117 + 33*f**2.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -9. Let p = c + -22.68. Let d = p - 2.32. Are 1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t + 3*t)*(-10534*t + 21479 + 21489 - 42968).\nAnswer: -31602*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2186 + 4*y**3 - 2090*y + 36*y**3 + 371 + 50*y**3 - 180*y**2 + 12*y**4 - 17*y**4 = 0. Calculate y.\nAnswer: -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 5\/24*u**4 + 6*u**2 - 1\/6*u**3 + 7\/60*u**5 + 0*u + 0. Is a(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -126 - 205\/6*a**4 - 1\/4*a**5 + 2*a - 4400\/3*a**3 - 8000*a**2. Factor x(f).\nAnswer: -5*(f + 2)*(f + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7612753081 minus 1.4?\nAnswer: 7612753079.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/4*-68*735\/17850?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**3 - 53*h**2 - 15*h - 86. What is x(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 297 - 297. Let q(g) be the third derivative of 0*g**5 + 0*g + 1\/30*g**6 + y*g**4 - 19*g**2 + 0 + 1\/3*g**3. Differentiate q(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*(-4)\/14 + (-1269)\/2961.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 190746475571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 459769*s**4 - 12*s**5 + 2 - 459767*s**4 - 3*s + (-5*s + 3*s + 4*s)*(4*s**3 - 4*s**3 + 2*s**4) + 2*s**5 + 3*s**2 - 3*s**2.\nAnswer: -6*s**5 + 2*s**4 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*a**2 + a**4 + 9*a**4 - 2*a + 2 + a**3 - 2*a**4 - 22*a**2 + 30*a**2 to g*a**2 + i*a**4 + v + p*a + s*a**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2616)\/(-72) - 38)\/(35\/(-1134))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8820 and 20.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8982 by -1.\nAnswer: -8982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*r**3*t - 55*r**3 + 456*r**2*t + 2*r*t wrt r.\nAnswer: 60*t - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21866664 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 11*p + 16*p = 280, c - 5*p = 140. What is the remainder when c is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 578544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 238777856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13488 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7987 is divided by 210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -15*u + 86*o - 89*o, -5*u - 38 = -2*u - 7*u + 3*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 379314, 379333, 379352, 379371?\n\"Answer: 19*x + 379295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/65)\/((6\/(-18))\/(1\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2009\/(-105) - (-2)\/15. Let l = v - -14. Let y(m) = -14*m - 7. What are the prime factors of y(l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*t + 21, -5*o - 796*t = -801*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 5*b - 168, 42 = r + 2*r + 3*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (222\/(-90) - -3) + (-10)\/75\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(-4*s**2 + 5*s**4 + 4*s**2) + (0 + 4 - 5)*(-3*s**4 - 3*s**4 + 4*s**4).\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 46*t**2 - 2*t - 1. Let i be a(-1). What is the highest common divisor of 329 and i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from {o: 2, d: 2, k: 8}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k**2 + 4*k - 137. Is o(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3)*10\/(420\/14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -9*b**5\/10 - b**4\/12 + b**3\/2 + 3*b**2 + 5*b - 4. Suppose -o + 5 = 7. What is the remainder when u(o) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 322833 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13251, -13249, -13247?\n\"Answer: 2*q - 13253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 840930.9 weeks in seconds?\nAnswer: 508595008320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-14*(8\/(-16))\/1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23309 - 23387.835. Let f = l - -79. What is f rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*f - 0. Suppose -3*s = 5*h - 423, -f*h - 3*s - s + 424 = 0. Is 28 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 2*m**3 - 5*m**3)*(3 + m - 3) + 4*m**4 - 8*m + 8*m - 2*m**4 + 5*m**4 - 2*m**4.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1145, -4591, -10335, -18377, -28717?\n\"Answer: -1149*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3 = -4*t + b, -4*b = 3*t + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-9)*w)*(w**(-7)\/w)\/w)\/(w**(3\/2)\/(w\/w**(-1))) assuming w is positive.\nAnswer: 1\/sqrt(w)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -22. Put 5, l, 1 in descending order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 0 + (-1 - -1). Let r = 1 + s. Let w = r + 2. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 4289*m\/4 + 1072.\nAnswer: (m + 1)*(m + 4288)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*(w*((w\/(w*w**(-1\/6)*w))\/w)\/w)\/w)\/w)\/w)*w*w)**(-1\/4) assuming w is positive.\nAnswer: w**(-41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1066452, 1066432, 1066396, 1066344, 1066276?\n\"Answer: -8*k**2 + 4*k + 1066456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70705 - 0 - -25*(-26)\/(-65)?\nAnswer: 5, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - -5) + (-4 - -13 - -2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -17*x - 8. Let l(h) = -9*h - 4. Calculate -11*l(b) + 6*u(b).\nAnswer: -3*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392887689 divided by -130962563.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4302201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/2)\/(c\/(c\/c**8))*c**(-4)\/c*c**8*(c\/(c*c**(-2)))**(1\/19)*(c\/(c*c\/(c\/(c\/(c\/(c*c**(-1\/6)*c)*c))*c)))\/((c\/(c**(-6)*c*c))\/c) assuming c is positive.\nAnswer: c**(-526\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21320)\/(-110) - -10) + (-6)\/(-33). Let t be 4\/(-10) + (-172)\/(-5). Calculate the greatest common factor of a and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3086 + 2?\nAnswer: 3088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 28 = 4*t, -14 - 2 = t - 5*u. Suppose 0 = 2*n - 3*n. Suppose 3*i + 3*s + 6 = n, -t*s - s - 25 = 0. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 3*m + 32. Let i(d) = -2*d + 15. Determine -5*i(h) + 3*o(h).\nAnswer: 3*h**2 + h + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 9}. What is prob of sequence aaa?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 134 - 77 + 70. Suppose 10 = l - 2*i, -3*i + 1 = -5*l + 16. Suppose -3*s + 2*s + 19 = l. Calculate the remainder when r is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5 + 1 - 2 - k**3 + k**2 - 2*k - 3. Let g be u(1). Let o(c) = 4*c + 7. Let x(m) = -m - 1. Give g*o(b) - 6*x(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 12*y - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 269 - -4?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) -0.3 (c) -2 (d) -16.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/10)\/(-7)*(-24)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137*k**3 + 1224*k**3 + 2596 - 599 + 410*k**2 - 412*k**2 wrt k?\nAnswer: 4083*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwl when three letters picked without replacement from nbnbmmnwnbnl?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -4)*(6 + 0 + -3). Solve 1\/2*m**b + 1\/2*m - m**2 + 0 = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = r + 2*j, r - 3*j = 4. Suppose -2*u = -12 - r. Let k be (1\/2)\/(2\/u). Solve -k*c + 2 = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -109. Suppose 220*y - 223*y = x. Suppose 6*w = w + 15. Sort w, 2, y in ascending order.\nAnswer: y, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22\/5, 6, -2, 3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h**2 + 42 + 2*h + 7\/4*h**4 + 4*h**3. Find the third derivative of u(a) wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 - 1355*q**2 - 22640*q - 91840 = 0.\nAnswer: -8, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -4. Let d = 20 - -18. Suppose 5*l + v - 47 = 0, 0 = 5*l + 6*v - 2*v - d. What is the least common multiple of l and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, 57, 64, 73, 84, 97, 112?\n\"Answer: j**2 + 2*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3. Let i(u) = -21*u**3 - 2*u**2 + 1. Let v be i(y). Suppose x = 3*x - 60. Calculate the highest common factor of x and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 857864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/12 - v**2\/2 - 6*v. Let c(b) be the first derivative of h(b). Let j(k) = -13*k**2. Determine c(j(r)).\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15544 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, -1, -464.9, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 0*p - 322*p**2 + 11 + 65.\nAnswer: -322*p**2 - p + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 121 (b) -2\/11 (c) -3\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + z - 1. Let a be s(4). Suppose -a = -5*q + 5. Let x = q - -18. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/522 and 89\/58.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - g**2 - g + 2. Let m(i) = -183*i**3 + 2*i**2 + 4*i - 8. Calculate -4*f(p) - m(p).\nAnswer: 187*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - v. Let o = 3 - 4. Let y be d(o). Is y >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 275.53 + -275.5313031. What is w rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + -18 + 12 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7048)\/(-881))\/(-2*34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-390)\/(-45)*5\/(30\/(-9)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/7*-4*4\/(-64).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, 1 in ascending order.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.15 + -1.15. Which is the nearest to 18? (a) i (b) 2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10402571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(11*h - 79*h - h) + (2 - 1 + 1)*(-4*h + 3*h + 3*h) + (-5 + 1 + 1)*(-3*h - 3 + 3).\nAnswer: -125*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 1. Suppose 5 = -i + 2*b, -3*b + 8*b - 14 = 4*i. Let h be x(i). Suppose 0*d - 5*d = 5*c, -2*c - d = -h. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*i = 0. Suppose 2*b + 7 = 4*p + 5*b, -b - 4 = -5*p. Let y be (2 - 1) + (p - 1). Solve -7 = d + 3*m, 3*m = -4*d - i*d - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 469 - 467. What is the closest to -3 in -5\/2, 4, t, -0.2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9256.827 milligrams in micrograms?\nAnswer: 9256827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5240467 centuries?\nAnswer: 52.40467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.340102 nanometers?\nAnswer: 0.000000002340102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/5 - ((-8)\/(-2) - 1605). Let m = -970 + i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29995120*j**2 + 2897529*j + 7.\nAnswer: -59990240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and 295.0598.\nAnswer: -44.25897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 23 = -5*g - 3, 5*y - g = 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 10194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + ((-10)\/6)\/((-2)\/(-6)). Sort -179, -2, a, 1 in decreasing order.\nAnswer: 1, -2, a, -179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.981232 days?\nAnswer: 689578444.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25*27\/2025)\/((-39)\/36 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 76440\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + -982\/7. Let v = 5\/13 - -3\/26. What is the second smallest value in 4, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2808073346 and -0.48?\nAnswer: 2808073346.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14987 (base 11) to base 10.\nAnswer: 21149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 18*h - 35*h + h.\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*o - 70*o - 3 + 37*o**2 + 135*o + 7.\nAnswer: 37*o**2 - 5*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iihv when four letters picked without replacement from {h: 6, v: 6, i: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180*j*l*t*w - j*l*w**3 + 1303*j*l*w - 4*l*t*w**3 - 10378*l*w**3 + 2*t*w**3 + w with respect to j.\nAnswer: 180*l*t*w - l*w**3 + 1303*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 127\/155?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 20. Let k be ((-144)\/(-20))\/((-3)\/h). Solve -4*q + k = 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 9\/(-72) - 2\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2476\/6 - (-3)\/9. Let x = f + -1214\/3. Calculate the common denominator of (5\/(-6))\/5*-16 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2420 is divided by 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**2 - 22*d**2 + 45*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 2*i - 5. Suppose -4*n + 11 - 27 = 0. Let z be l(n). Suppose z*m = -m + 64. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1623 - -12987\/8. Which is the third smallest value? (a) 5 (b) x (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409026211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(34\/(-6)*1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -47. Let c = 101 - v. Let s = -57\/196 + 2\/49. Put -0.6, s, c in descending order.\nAnswer: c, s, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 4*j**2 + 26*j + 8. Let n be f(-5). Is n bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -39 + -510 + 545.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*161\/(-69))\/((-2)\/3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 97171.26m?\nAnswer: 97171260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Suppose 4*k + q - 9 = -2*q, -13 = -3*k + 4*q. Let r(h) = -3*h**2 - k - 4 + 0. Calculate t(r(i)).\nAnswer: 18*i**4 + 84*i**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 830701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25\/786099 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2617*s**5 + 329*s**2 wrt s.\nAnswer: -157020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 21*k - 22*k - 5*j, 2*k - 3*j - 62 = 0. Suppose -28*t = -k*t + 47406. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*d - 0*r - 46, -822 = 826*d - 828*d + 64*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24440173 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 1.77. Let z = v + 0.2. Put -5, z, 0.2 in decreasing order.\nAnswer: z, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:41 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 12:55 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10342311 (base 5) in base 3?\nAnswer: 11120220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(69 - 49 - 40)*(u**5 - u**5 + u**5).\nAnswer: -80*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4 + 16*j + 6. Let u(o) be the first derivative of b(o). Let w(h) = -2*h. What is w(u(p))?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - 12. Let z = g - -28. Let x be ((-50)\/z)\/(1 + -2). What is the greatest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-56) + 3\/4. Let l be 60\/(-144) - (-4)\/6. Factor -w - l*v**2 + v.\nAnswer: -(v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 49 + 31. Solve 0 = 3*d - l*h + 13*h - 24, -3*d + 5*h = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 + 0.17. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(45)) + 0 - (-2*sqrt(15))\/sqrt(3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 3. Suppose -4*m = -x*m + 15. What is the units digit of 1\/m + 16\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -567*g + 564. Determine s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54525463.\nAnswer: 197, 276779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(143)\/(sqrt(66)\/sqrt(6)) - sqrt(468)*-3).\nAnswer: -4 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69660, 69815, 69970?\n\"Answer: 155*b + 69505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3097*s = -2921*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1831299\/11 + -165841. Let w = 643 - u. Let x = -6999\/8 - -876. Find the common denominator of x and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 11, h: 6, p: 1}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + 0.4. Let s = -0.09257 - 11.90743. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 0.1, 4\/7, -3.\nAnswer: -3, -2\/3, 0.1, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21120 divided by -44?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t*v**2 + 25*t*v*w + 4*t*w**2 + 62*v**2*w**2 + 4*w wrt w?\nAnswer: 8*t + 124*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -500 - -828. Let n = g + -312. What is the smallest common multiple of n and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/2)\/(-1) - -4. Suppose -p*l + m + 7 = 0, 2*l + 4*m = -l + 10. What is r in 3*r**2 + l*r**2 - 5 - 596*r**3 + 5*r + 591*r**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -6395267530.3127.\nAnswer: 6395267525.3127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*j + 25, 0*j + 179 = 5*g - 2*j. Let c be g\/5 + -3 - 282. What is the tens digit of 2\/(c\/(-69) + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 0 + 0 - 41*a + 106*a + 174*a + 2 - a - 2 + (0*a + 0*a + 2*a)*(1 - 3 + 1) + 0 - a + 0.\nAnswer: 237*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 51*y**2 - 3. Determine n(51).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 161.\nAnswer: 4\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.457 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 3*f**2 + 0*f**2 + 282*f**2 - 1074*f**2 - 360*f**2 + 2*f**2 - 2*f**2 + 2*f**2 + (3 + 0 - 4)*(2*f**2 + f**2 - 4*f**2) + f**2 + 3*f - 3*f.\nAnswer: -1149*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6)\/w)\/w*w**(1\/3)\/w*w**6\/(w*w**(-1\/3)\/w*w)*((w**5*w)\/((w*w**1)\/w*w))\/(w\/(w\/(w\/w**(-1\/3))))**(-2\/19) assuming w is positive.\nAnswer: w**(757\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1190 + 1190.0001842. What is b rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z - 5 = 0. Which is the second biggest value? (a) 5 (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 74714*b**2 - 298832*b + 298824.\nAnswer: -2*(b - 37353)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -64.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4881367?\nAnswer: 3\/4881367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1442*f**4 - 16*f**2 - 10*f - 1 wrt f.\nAnswer: 34608*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 + -15 - -2) + -5. Let g(q) = -q**3 - 3*q**2 - 2*q - 7. What is g(w)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282762141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in -0.6, 0, -2\/9, -8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 23*i - 5. Let x be n(6). Suppose x = -3*p + 385. Find the common denominator of 3\/22 and (-9)\/(-12)*328\/p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 75, -2.360343, 4?\nAnswer: -2.360343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = -g + 2*p, 0 = -4*p + 12. Let d be 6\/20*(-5)\/(-6). Let b = 0.6 - 0.1. What is the second biggest value in g, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t + 24. Let v be -6 + -2 - 321\/107. Determine g(v).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y. Let t = 19 - 22. Let x be -1*(2 + t + 3). Calculate n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33037317851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urhunnkkcnnncnrkk. Give prob of picking 2 u.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b*(b*b*b**(-1))\/b)*b))**(-37)*b**1*b*b**3*b assuming b is positive.\nAnswer: b**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.81364 rounded to one dp?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96591 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*u - 9*u + 7*u + (3*u - 3*u + 2*u)*(5 - 3 - 4) + 0*u - 6*u + 0*u in the form a + n*u and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6\/37 (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36673, -42971, -49275, -55585, -61901?\n\"Answer: -3*x**2 - 6289*x - 30381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + s**2 + 4 - 4 + 4*s. Let i be j(-2). Suppose -p = -i*p. Put p, 1, -1 in descending order.\nAnswer: 1, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/27 and -53\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 4*g - 4*u, -2*u = -5 + 7. Let j(d) = -d**3 - d**2 + d + 18. Let a be j(0). What is the highest common factor of g and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -22. Suppose -l = -2*l - c. Let k be ((-96)\/(-5))\/(l\/250). What is k rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*h + 5*a - 10*a, h - 19 = a. Calculate the remainder when 61 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2 + (3 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/(-8) + (-5)\/10. Suppose -10451110 = -5*m - g - 2101106, m + p*g = 1670020. What is m rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2872 - 23002*l - 2872 + 5423*l as x + j*l and give j.\nAnswer: -17579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 2*u + 13. Let y(q) = -q**3 - q**2 + 5*q + 8. Let c be y(-3). What is the remainder when j(c) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001799101 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4 - 6 + 10 - 4*g**2. Let r(c) = -2*c**2. What is r(n(h))?\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvyvyvvvuyvuyvu. What is prob of picking 2 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 11*l. Let u be n(-5). Suppose -u*o + 913 = 313. List the prime factors of (48\/(-40))\/((-2)\/o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-6))\/m)\/(m*m**(-2\/37)*m)*(m**(-19))**17 assuming m is positive.\nAnswer: m**(-12245\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 820*b**4 + 604*b - 2 wrt b.\nAnswer: 9840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 5*z + 7. Let c be f(6). Let a be 3\/(6\/8) - 2. Let h = c + a. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9413*n**2 + 18854*n**2 - 9423*n**2.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glll when four letters picked without replacement from {l: 9, g: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:40 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 2*b - 2. Let k(t) = t**2 - t + 1. Let m(q) = 2*k(q) + o(q). Let p(i) = 12*i**2 - 2*i**2 + 0*i**2 - 4*i**2. What is m(p(v))?\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17529191.\nAnswer: 19, 491, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*g**4\/4 + 153*g**3 + 1833*g**2\/2 + 561*g + 363\/4.\nAnswer: 3*(g + 11)**2*(3*g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 10\/63 (b) 0 (c) -0.4 (d) -1\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -30*w + 22*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0 - -10) + (-74 - -58)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 268924239 to the power of 1\/2, to the nearest integer?\nAnswer: 16399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -6*t**4\/7 + 20*t**3\/7 + 50*t**2\/7 = 0.\nAnswer: -5\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 6) + 996\/1. Suppose c - 408 + o = 2*f, -f + 289 = 4*c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 2. Let q be n(-3). Suppose -2*m + 0*m + 4*l + 18 = 0, 0 = q*m - l - 18. What is the lowest common multiple of m and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 + 0*f**3 - 5*f**3)*(0*f - 2*f - 2*f) - f**4 - f**2 + f**2.\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crai when four letters picked without replacement from iiiziziiiizaiiriac?\nAnswer: 11\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 1. Suppose 3*c - 7 + 31 = 0. What is the remainder when 73 is divided by l(c)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62289 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 3*x**3 + 118*x - 6*x**2 + 0*x**2 + 0*x**3 + 3*x**2 in the form d*x**3 + l*x**2 + b*x + t and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1709, 2295, 3031, 3983, 5217, 6799, 8795, 11271?\nAnswer: 14293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454214228.\nAnswer: 2, 13, 17, 19, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2509042 or 2509029?\nAnswer: 2509029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 12:24 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.99881t to grams.\nAnswer: 88998810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 0*p - p - 2. Let n be r(-2). Is 14 a factor of (9\/n)\/((-27)\/(-252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1 - -23) + -2. Suppose 0 = -2*w - 2*w + 4, j + 5*w = b. Suppose 8 = -i + j. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(66) + 2*sqrt(66)*5 + sqrt(66))\/(sqrt(98) + sqrt(98) + sqrt(98) + 1*sqrt(98) + sqrt(98)))\/(-1*sqrt(15)\/sqrt(5) + (sqrt(3) + sqrt(27))*1).\nAnswer: -1 + 4*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 11*i - 76. Let o(u) = u**3 - 13*u - 77. Let w(r) = -5*n(r) + 4*o(r). Let y be w(0). What is the highest common divisor of y and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.469541ml to litres.\nAnswer: 0.002469541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1. Let j(u) = -17*u + 2*u + 10*u + 6. Calculate -6*f(t) + j(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.74 + -9.54. What is the nearest to k in -3, 0.5, -189?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49.029 + 0.029. Let w = b + 49.00135. Round w to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 4*w**3 - 3*w**3)*(3*w - 2*w**2 - 4*w + 0*w**2 - 2).\nAnswer: 2*w**5 + w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 779917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663138?\nAnswer: 2, 3, 7, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2*u**3 - 6*m**2*u**2 - 6*m**2 + 9*m*u**3 - m*u + 6844*u**3 - 35*u**2 + 5*u wrt u.\nAnswer: 6*m**2 + 54*m + 41064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*g - 29 = 511 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -478651 and -3831971?\nAnswer: 3353320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3316*x + 559*x + 6652*x)*(0*x**2 + 0*x**2 + x**3).\nAnswer: 3895*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*i. Let m = i + 91. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(966\/840 + (-6)\/8). Find k, given that 2\/3*k + 4\/9 + 2\/9*k**f = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20347 and 2711?\nAnswer: 55160717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51801 is divided by 50.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 + 17*b**3 + 49*b**2 - 19*b - 11499. Calculate q(-49).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16023, 32043, 48073, 64119, 80187, 96283?\nAnswer: 112413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**3 - 145*i - 140*i + 319*i**2 - 135*i + 421*i in the form k*i + x*i**2 + w + a*i**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15860, 31713, 47566, 63419?\n\"Answer: 15853*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.2 minus -2?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = -2*p - 0*p + 2*y, 2*p + 3*y = -1312 + 1327 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -62 - 56. Suppose 9*b = 11*b - h. Suppose 171 + b = 5*o. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.49000306 - 0.49. What is j rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/2 < 0.0511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01538 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27638, 34668, 41698, 48728?\n\"Answer: 7030*r + 20608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scccccluccsscsc. Give prob of picking 3 s and 1 l.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**4\/6 + 2*b**2 + 14*b. Let c(j) = -29*j. What is c(y(t))?\nAnswer: 116*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {d: 5, r: 6, k: 1, i: 5}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -40. Solve c - f + 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/1*-9*(-13)\/(-117)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 4*v**2 + 5*v - 4. Let g be l(3). What is the second biggest value in g, 1, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14092*i - 3*i**2 - 6865*i - 6182*i + i**2.\nAnswer: -2*i**2 - 27139*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 389078.4254 - 388974. Let r = 12.4624 - f. Let d = -92 - r. Round d to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -132*v + 131*v. Let z = -110 + v. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -625025*s**3 - 22866?\nAnswer: -1875075*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112)*2)\/sqrt(7))\/sqrt(8))**2 + (sqrt(8) + 3 + sqrt(8) - sqrt(2)) + 0.\nAnswer: 3*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.138 (b) -1 (c) 2\/33 (d) -0.2 (e) 12\/13 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let z be x(-4). Let p(l) = 2*l**2 - 3*l + 1. Let s be p(2). Suppose -z*f = 4*b - 36, -s*f + 30 = 2*b - 7*f. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(4608) + -3 - (-1 + sqrt(162)*-1 + -2))**2.\nAnswer: -114*sqrt(2) + 6499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j**2 - 4*j - 23. Let x be g(-5). What is the greatest common divisor of 34 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/20 and ((-3*3)\/(198\/(-117)))\/(-3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -15*f**2 + 2. Let g(r) be the first derivative of 2\/3*r**3 + 0*r + 0*r**2 - 53. Determine g(q(v)).\nAnswer: 450*v**4 - 120*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1684690929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -4) + 16 - (17 - -5) - 60?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = f - 9, -5*f + 3*l + 43 = -l. Let r(x) = 13*x - 13*x + 13*x - 25. Let w be r(f). Calculate the greatest common divisor of 44 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 7 = 10*o. Solve 3*k = 2*s - o - 0, 0 = -4*k - 3*s - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971*w + 5*f + 64618 = 973*w, 0 = -5*w - f + 161545. What are the prime factors of w?\nAnswer: 32309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*i + 25, -11 = -g + 3*i - 2*i. What is the remainder when 20 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 + 31. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 34 (b) 0.5 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -376, 0 in increasing order.\nAnswer: -376, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -18. Suppose -h - 3 = 0, -3*i + 5*h = -i - 11. Let l be -4 - m - (i - -3). Solve -p + 2*z = -14, -2*p - l*p + 25 = -z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.9. Let s be 729\/2673 - 60\/(-22). Which is the fourth biggest value? (a) 3\/4 (b) g (c) s (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 778098 and 559896.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 581.886.\nAnswer: -581.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62792177 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose -5*j + 35 = f - 0*j, 4*j - 12 = 0. What is the greatest common divisor of k and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 - 3*r + 1. Let t(x) = 73*x - 582. Let j be t(8). Determine c(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -45. Suppose -180 = -u*n - 0*n. Is 3 a factor of ((-10)\/(-4))\/(15\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220010 (base 3) in base 9?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 84*h**2 - 12*h - 18. Let j(b) = b**2 + b - 1. Let q(i) = -18*j(i) + m(i). Find the second derivative of q(k) wrt k.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**3 + 26*n**2 + 5*n + 3. Calculate b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 53.34215 centimeters?\nAnswer: 0.0005334215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 994161*f**2 + 1678540?\nAnswer: 1988322*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 289 + 2867. What is the remainder when i is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 952410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(2736) + (sqrt(2736) + 0)*-2 + sqrt(2736))**2 + -4)*3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:42 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f + 7. Let g(q) = -q**3 + 9*q**2 - 12*q - 16. Let u be g(7). Let l(c) = -c + 3. What is u*m(d) + 5*l(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*sqrt(20)*-1*3)\/(sqrt(4) + sqrt(8)\/sqrt(2)*5 + sqrt(64)).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + -98. What is the fourth biggest value in 3, -4, 2, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((-315)\/((-336)\/16))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 8*z**2 + 5*z. Let d(i) = 2*i**3 - 9*i**2 - 6*i. Let k = 60 + -65. Calculate k*d(n) - 6*c(n).\nAnswer: -4*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 14*j + 3 = 0. Suppose j*u - 6*u + 15 = 0. Solve -24 = -5*p + 2*r, 4*p - 26 = -0*p + u*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32923, -32850, -32713, -32500, -32199?\nAnswer: -31798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/19 - 268*o**2\/19 + 8978*o\/19.\nAnswer: 2*o*(o - 67)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474 a factor of 26521232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001053 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/1165?\nAnswer: 2\/1165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4174 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -288.2 - -288. Let g = -144 - -136. Which is the second biggest value? (a) 3 (b) o (c) g (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - -89. What is the units digit of (2 - 14\/5) + n\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/(-2) + (-6)\/12. Let f be j - (1 + (4 - 12)). Which is the third biggest value? (a) -5 (b) f (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 - 3*h + 21. Let x(k) = 7*k**2 - 4*k + 26. Let j(s) = -2*x(s) + 3*z(s). Determine j(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**5 - 44*k**4 - 968*k**3 + 10648*k**2 + 58564*k - 644204 = 0.\nAnswer: -11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 469 + 191. Is a a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 + 2*k**2 - 2*k + 7 - 11 - 4*k**3. Let s be (-16)\/88 - (-62)\/(-22). Give y(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5 + 5*w + 5. Let r(n) = -9*n**2 + 4*n**2 - 5*n**2. Determine r(i(j)).\nAnswer: -250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75, -89, -91, -75, -35, 35?\n\"Answer: d**3 - 21*d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3729.385.\nAnswer: -3728.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2 = 0, 4*g - 6*t = -4*t + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -3*h + 2\/5*h**5 - 7*h**2 + 67\/4*h**4 + 55 + 0*h**3. Find the second derivative of i(b) wrt b.\nAnswer: 24*b**2 + 402*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -17. Let u = h + 2. Let w = -33\/4 + 1225\/148. Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -13, 9, 51, 119, 219?\n\"Answer: m**3 + m**2 - 2*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let f(i) = -625*i. Determine f(k(w)).\nAnswer: -625*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v + 1922. Let x be w(-148). Is 1529 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/6)*c)**9)**(-17))**(-13) assuming c is positive.\nAnswer: c**(3315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 19.4. Let w = 5.1 + i. What is w rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 48. Suppose 4*i = a + 10, 3*i - 2*i = 4*a + 40. Calculate the lowest common multiple of ((-2)\/(-10))\/((-1)\/a) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 33*p + 19*p + 27 = 12, 22*v + 4*p - 332 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/13 + -3\/91. Let v = -87\/4 + 447\/20. Which is the closest to 1? (a) x (b) 2\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d - 8. What is the least common multiple of 20 and a(4)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 2*j**2 - 4*j - 6. Let o be f(4). Suppose -11*y = -o*y - 685. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.195583 - -0.3\nAnswer: 0.495583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 503828791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a day in hours?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.000151 + 64. Round j to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4817\/2 or 2409?\nAnswer: 2409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46500815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7128659*u. Let q(r) = r. Determine l(q(i)).\nAnswer: 7128659*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1100))**2*-1.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.11 (b) 2\/15 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 178 and 2035378?\nAnswer: 181148642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61113\/5 - 12221. Let x(d) be the second derivative of -1 + 30*d + n*d**5 + 0*d**4 - 9\/2*d**2 + 0*d**3. Differentiate x(u) with respect to u.\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 7. Let y(i) = -7 - 2*i + i**2 - 4*i**2 + 4*i**2 - 3*i. Let v be y(7). Let q be r(v). Is q > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r + 2*r - r)*(-2 - 4*r**2 + 4*r**2 + 2*r**2).\nAnswer: 18*r**3 - 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 1, k: 3, m: 4}. Give prob of sequence mkft.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6*(12 + -10)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114420, 228717, 343012, 457305, 571596, 685885?\nAnswer: 800172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 3:54 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.608 - 3.668. Sort o, -0.125, 0.3, 3 in decreasing order.\nAnswer: 3, 0.3, o, -0.125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 9 - 10 - 160*u to p*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, 8476 in ascending order.\nAnswer: -10, -2, 8476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-359)\/(-359)*(-17 + -15)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 23*y + 37*y - 8 - 94*y. Suppose 0 = -4*z + 3*z - 2*h + 6, -3*z - 2 = h. What is the tens digit of t(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5467\/20 - 275. Calculate the common denominator of 23\/49 and w.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1\/(-3)*(2 + -5) - -65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34 - (-3)\/(-8 - -5)*-5?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 795*n - 223. What is the thousands digit of w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -1611, -2960, -4663, -6714?\nAnswer: -9107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -8*j - 8. Solve -j*f + 1 + 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 - 27*s - 10. Let w(o) = o - 2. Determine p(m) - 4*w(m).\nAnswer: -4*m**3 - 31*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*r + 3)*(2*r**3 - 2*r**3 + 2*r**3) - 2 - 3*r**4 + 2 - r**4 + 5*r**2 - 5*r**2 + 5*r**4 + 7*r**4 - 3*r**4.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) - (3 + 7\/((-105)\/7577855)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 27.5. Let l = 8 - h. Let o = l + 0.2. Which is greater: -0.2 or o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 18*m = 17*m - 5, k + m = 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/4)*w))\/w*(w\/(w**(5\/6)\/w)*w)\/w assuming w is positive.\nAnswer: w**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*h + 0 - 2*h**4 + 5*h**3 + h**2 - 3 - 3*h**2 + 167*h to the form r*h**4 + p*h**2 + q*h**3 + s + b*h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l + 0*l**6 + 13\/60*l**5 + 0*l**7 + 0*l**3 + 0 + 7*l**2 + 19\/336*l**8 + 0*l**4. What is the third derivative of g(m) wrt m?\nAnswer: 1140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 15) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = -6*z + 18*z + 121754. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159345?\nAnswer: 3, 5, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 27. Let w be t(-17). Let f(x) = -w*x + 39*x + 1 + 45*x + 30*x. List the prime factors of f(5).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 11*v**2 - 25*v - 16. What is y(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*k = 557 + 609 + 154. Suppose 0*o + 8 = o. What is the remainder when k is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*o - 44. Suppose 2 - o = -3*q. Solve 0 = 3*v + q, 5*p - 5*v - 6 = -2*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 243, 283, 349, 441, 559, 703, 873?\n\"Answer: 13*h**2 + h + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m**4 + 511*m**3 + 22954*m**2 wrt m.\nAnswer: 216*m + 3066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -3*h - 1. Let p = h + 34. List the prime factors of 297\/p - (-4)\/(-10).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/4*6\/3. What is the remainder when 15 is divided by 22\/d - 5\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132399, 529664, 1191773, 2118726, 3310523?\nAnswer: 4767164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 + -60. Let w(k) be the first derivative of -5 + 0*k**2 - 4*k + 0*k**3 - 3\/2*k**f. Differentiate w(s) wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30212234 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*q + 3244 - 3231, 3*n = -5*q + 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*o - 25*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -249775 and -249772 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022821 - 27455?\nAnswer: -27455.022821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 4*m + 7)*(2*m + 2*m - 2*m + (-3 - 2 + 6)*(2*m + 3*m - 3*m) + 0 - m + 0).\nAnswer: 12*m**2 + 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/10764 and 3\/1566760.\nAnswer: 14100840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1463?\nAnswer: -292.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 99 + 5*w**2 - 151 - 9 as h*w**2 + n + q*w and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose -a - 2*h = -2*a + 12, 2*h = -5*a. Suppose j*q - 72 = -a*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.529 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**4\/24 + s**3\/6 - 11*s**2. Let j be 0\/(-4 + 0 + 2). Calculate f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -19*p**2 - 7*p + 13. Let g(z) = -9*z**2 - 3*z + 6. Calculate -13*g(i) + 6*x(i).\nAnswer: 3*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -84. Suppose -4*b = 3*h - 0*h + 16, 21 = -m*b - 4*h. Is 10 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -7 (c) 30.866\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 0*c**2 - 26 - 3*c**2 - 2*c**2.\nAnswer: -3*c**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) 0.2 (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -7486651 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/45)\/(13\/(195\/6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**5\/10 - 17*v**4\/24 + v**3\/6 - 19*v. Let m(j) be the second derivative of l(j). Does 6 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 124, 186, 246, 304?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 198. Give i(44).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 6 - 1 + (2 + 0 - 1)*(-1 - 2 + 6))*(-2*w + 4 - 4) to l + o*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 63726883?\nAnswer: 63726888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -226, -3\/2, 2\/1627?\nAnswer: 2\/1627","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 25*g**6 + 5*g**5 + 7*g**2 - 5. Let b(j) = 13*j**6 + 3*j**5 + 3*j**2 - 3. Let a(h) = 5*b(h) - 3*t(h). What is the third derivative of a(w) wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.8 - -33. Which is the second smallest value? (a) 1\/6 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376 divided by 5.\nAnswer: -376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b + 10*b - 11*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 463 in 5, 1\/6, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79343314 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-92)\/(-18) + 24\/(-216). Let v be 4 - (495\/10)\/(-9). Let p = -55\/6 + v. Which is the third biggest value? (a) x (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 12927951*k**4 + 6 - 3 - 12927983*k**4 in the form r*k**3 + w + d*k**2 + n*k + u*k**4 and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 56211*p. Let k(o) = -466*o**2 - 3. Give k(r(b)).\nAnswer: -1472409258786*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-34)\/187 + (-6318)\/(-22).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02996 and -1?\nAnswer: -0.02996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*c - 51*c**3 - 15*c**3 - 232*c + 70*c**3.\nAnswer: 4*c**3 + 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17225939.39 rounded to the nearest ten thousand?\nAnswer: 17230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -299 (b) -1\/1530 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 0 - 4 - 0. What is the remainder when (6 + (4 - 9))*19 is divided by 2\/g*(-63)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -21*z**2. Let u(h) be the first derivative of -h**3 + 25. Determine u(f(t)).\nAnswer: -1323*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. Let q = -6 + 17. What is the least common multiple of 1*(1 - (-5)\/x) and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/19784270 and 113\/145830?\nAnswer: 59352810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -81. Suppose 7*t = 3*t + 4. Let f = 3 - t. What is the second smallest value in f, 1, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 + 2\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(112))**2 + (0 + sqrt(112) - sqrt(112)))*-6 - 6*(sqrt(112) - (sqrt(112) + -1 + 1))**2.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19206.97 + -19207. Which is greater: z or -23.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -16.1 (c) 2 (d) 0.6 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2983208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 2778.\nAnswer: -2777.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.2 + 12.2. Let f = a + -7.9. What is the nearest to f in 4\/5, -4, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.872178 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*s = -0*g - 65, 3*g = 3*s + 39. Let r = 18 - g. Suppose 0 = u - r*u + 52. Calculate the greatest common divisor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/12 + d**3\/3 + d**2 + d. Let n be ((-3)\/4)\/((-5)\/(-20)). Give q(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 485869 and 3924110?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6451*b**2 - 5489 - 4746 + 2*b + 11779 wrt b.\nAnswer: 12902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 9*m + 17. Let h be j(-7). Which is the biggest value? (a) 2 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 1 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - -3 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -19*g**3 - 5*g**2 + 5*g + 10. Let x(h) = 28*h**3 + 8*h**2 - 7*h - 15. Let s(j) = 5*x(j) + 7*y(j). Let m(z) = -z**3 - z**2 + 1. Give 10*m(v) + 2*s(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 13*b**2 + 3*b + 32. Let v be r(-14). Let h = v + 1109. What are the prime factors of h?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6409920 is divided by 17756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 221*c + 1083. What is u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 0 + (-68 - -79) + -2 + 55\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*k - 7, -435*z + 433*z = 2*k - 4. Suppose -t - 2*t = 3. Sort t, -5, z in ascending order.\nAnswer: -5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dea when three letters picked without replacement from anneda.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 4:31 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -42675\nAnswer: 1\/14225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 422.8608?\nAnswer: -2960.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = m - 2, 10 = 26*l - 31*l + 4*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2. Let n be (-442)\/(-10) - (25\/(-5))\/(-25). Let q(a) = -23*a - 26*a - 23*a + n*a. Give q(y(k)).\nAnswer: 168*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12375 = -3*m - 3*q, -3*m = 8*q - 13*q - 12359. Calculate the remainder when m is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60979*1.12.\nAnswer: 68296.48","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -49, -117, -213, -337, -489, -669?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -17*g**2 + g - 11. Let a(z) = 6*z**2 + 4. Determine -11*a(b) - 4*q(b).\nAnswer: 2*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 10185.\nAnswer: 91665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l**3 - 32*l**2 + 72*l + 8. Let c = 635 + -643. Let r(m) = -2*m**3 + m + 1. Let a(h) = c*r(h) + v(h). Let a(w) = 0. What is w?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -593 + 1165 - 63*z**3 - 2*z - 572 to w*z**2 + o + i*z**3 + y*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 104) + -401 + 543?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*g - 25, g + 3*g + 20 = 4*h. Let l be -1 + -1 + (0 - g). Let v = l - -3. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 6*q**2 + 5*q - 1. Let v be s(-5). Which is the third biggest value? (a) -1\/3 (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 72*x + 138. Give v(-34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -393*k**3 + 17*k**2 + 3*k - 4. Does 5 divide t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/5 + 8176*r\/5 + 2376972\/5.\nAnswer: 4*(r + 351)*(r + 1693)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 - 5. Let c(a) = -a**2 - 1. Let n(d) = 20*c(d) - 4*l(d). Let y(r) = -4*r. Give n(y(t)).\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let a be 2\/((r + 1)\/9). Let d(n) = n**2 - 6*n + 5. Let p be d(a). Solve p = -4*w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r = 34. Let a = -15 + r. Let f = a + 5. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -42*o - 3. Let j(y) = 1. What is -2*j(x) - k(x)?\nAnswer: 42*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*j + 2*j. Let l be (4\/5)\/(j\/(-210)). What is the remainder when (l\/(-32))\/(2\/104) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgkg when four letters picked without replacement from {i: 1, w: 1, g: 3, k: 1, l: 2, y: 4}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1035*k**3 + 50*k**2 + 25*k - 860. Let w(h) = -h**3 - 2*h**2 - h - 3. Let s(t) = i(t) + 25*w(t). What is the first derivative of s(z) wrt z?\nAnswer: -3180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 + 2. Give o(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 5, e: 3, a: 1, y: 3, h: 6}. What is prob of picking 1 u and 1 e?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 10152*t + 20292.\nAnswer: 3*(t + 2)*(t + 3382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 2. Let x be (-14)\/h - (-4)\/22. What is the second biggest value in 3, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2975578?\nAnswer: 2, 17, 87517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -756113 - 15?\nAnswer: -756130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 43*k + 513. Calculate the least common multiple of n(-11) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 6:40 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1008 and 3888.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -1\/15*p**5 + 0 - 1\/12*p**4 + 6*p**2 + 0*p + 0*p**3 - 1\/60*p**6. Solve h(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 less than or equal to 52875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 12*s**2 - 12*s + 18. Suppose 4*x + 83 = -4*k + 27, -2*k = -3*x - 32. Is 7 a factor of u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240063601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -1, -7, -13, -19?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 9, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70.3 - 23.3. Let f = -38 + w. What is the nearest to f in 1\/2, 1\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160166?\nAnswer: 2, 53, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q + 172. Let z be n(17). Solve 5*l = 5*i, 2*l - z = -l + 2*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-5 + 2) - 4. Calculate the common denominator of 5\/2*(245\/50 + f) and 1\/2 + 2\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10224 and 1.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -901 (b) -28 (c) 3\/5 (d) -0.4 (e) 5 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 5*i - 10. Let o be n(8). Let g = 6 - o. Let f = 16 + g. Solve -4*q - 12 = f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*t**2 - 11960 - 6*t + 11960 to the form s*t**2 + u + w*t and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**4 - 73*c**3 - 48*c + 2.\nAnswer: -24*c**2 - 438*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -192993, -385969, -578945?\n\"Answer: -192976*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.398 - 0.198. Which is the closest to m? (a) 5 (b) -0.04 (c) 0.3 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -454 - 8*s + 451 + 7*s. Let g(b) = -6*b - 16. Determine -2*g(q) + 11*t(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81072*n**2 - 7 + 0 + 81194*n**2 - 10*n + 9.\nAnswer: 122*n**2 - 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4637708g?\nAnswer: 0.0000004637708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b77 - -a7?\nAnswer: c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, 612, 2534, 6410, 12924, 22760, 36602?\nAnswer: 55134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -12658.\nAnswer: -1\/6329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*c**2 - 4*c - 2*c**3 + 4*c)*(2*c + 1 - 1) to the form a*c**4 + q*c**2 + y + k*c**3 + d*c and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 9401*h**4\/24 - h**3\/6 + 4*h**2. Let m be z(1). What is m rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 87, 60?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52.99999895 + 53. What is y rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.3 (c) 3\/7 (d) 1.93 (e) 4 (f) 50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 19*y**2 - 31*y + 7. Is o(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 5*q - 2. Let p be r(4). Differentiate -3*v**3 - 4 + 10*v**2 - 10*v**p wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(18\/(-3)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + ((sqrt(1900) - (sqrt(1900)*1 + 1) - -4*1*sqrt(1900))**2 - ((sqrt(1900) + 3*sqrt(1900) + -5)**2 + -1))*2).\nAnswer: -42 + 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4900*j**2. Let l(o) = -99*o - 2. Give l(v(m)).\nAnswer: -485100*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2532\/28 + (-16)\/(-28). Let k = t + -99. Let m be (12\/k)\/(33\/(-4)). Sort -0.07, 2\/5, m, -5.\nAnswer: -5, -0.07, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39531 plus -10610834829?\nAnswer: -10610874360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4115.9688167 less than -18.9?\nAnswer: 4097.0688167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 6*s - 21 = -8*s, 6*n - 6*s = -s + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 9:29 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022555 (base 6) to base 11.\nAnswer: 665a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*(-1 - -1). Let i be (-3)\/6*(x - 0). Suppose 2*q - 1 - 49 = i. Solve -3*f - 4*u + 1 = 0, -8*u + 3*u + q = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429066098.\nAnswer: 2, 103, 163, 72341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146 divided by -972.\nAnswer: 73\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-10 + (-37 - -39) + -8 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 425 divided by -796664\nAnswer: -425\/796664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 4*l + 2, 29 = 10*q + l + 74 - 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -81*s + 379. Let x be m(0). Let g = x - 1887\/5. Factor 7\/5*r - 2\/5 + 3\/5*r**3 - g*r**2.\nAnswer: (r - 1)**2*(3*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87, -237, -387, -537?\n\"Answer: -150*y + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*1*1\/(-4). Let o = 0.22 - -0.08. Which is the second smallest value? (a) f (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, -7, 9.\nAnswer: -7, -5, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*p + 3*o - o, -2*p - 4*o = 0. Suppose -18*a + 3*h = -13*a - 27, 3*a + 5*h + 11 = 0. Solve a*y = -3*i, p*i + 7*y - 9 = 2*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/3 - i**4\/3 - 16*i**3\/3 + 16*i**2\/3 = 0. Calculate i.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 10 - (-11 + 2) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18547238 != -18547239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - a6d2?\nAnswer: -a6c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 361316023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*q + 1. Suppose -35 = 2*x - 3*x + 5*p, -q*p + 5 = 3*x. Let y = -36 + 64. Calculate the remainder when y is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + y)*(-y**2 + 0*y**2 - y**2) + 2*y**3 + 0*y**3 - 3*y**3 + (y + y - y)*(-40 + 18*y**2 + 40 + (y + 0*y + y)*(-2*y + 0*y + 4*y)).\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1600.209 kilometers to meters.\nAnswer: 1600209","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -315.6 + 315.22656. What is c rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29946*m + 1699*m + 49581*m + 36988*m + 46077*m.\nAnswer: 164291*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**3 - 2*m**2 + 1. Let j(k) = -k**2 - 5*k + 3. Let x be j(-6). List the prime factors of l(x).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -86, -390, -898, -1610, -2526?\n\"Answer: -102*o**2 + 2*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 4*q**3\/3 + 438*q. Let a(v) = 435*v. Give a(b(m)).\nAnswer: 3480*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.743, 0.3, -2.5 in ascending order.\nAnswer: -2.5, -0.743, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.9 + 6.1. Let g = t + -43.7. Let x = 1.7 + g. Which is the biggest value? (a) 0.3 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 - 95 + 2819*v**2 - 98.\nAnswer: 2819*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 44887*f + 89767. Give k(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3 = 4*n. Let a(m) = 2*m - n - m + 6*m + m. Let j(i) be the second derivative of -i**3\/3 + 2*i. Determine 2*a(u) + 9*j(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 5 (c) 20.5 (d) 1 (e) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 7. Let m be d(-9). Factor -2*l**3 + 2*l**2 - 4*l**2 - m*l**4 + l**4 + 3*l**4 + 2*l**5.\nAnswer: 2*l**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20875898 to the power of 1\/2, to the nearest integer?\nAnswer: 4569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + 4.6. Let n = 0.0315 - -24.2685. Let p = 24 - n. Which is the third smallest value? (a) 2 (b) g (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1491\/(-14))\/(3\/5)*-28. What is the greatest common factor of q and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 10*r - 65. List the prime factors of r.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 - 3*w + 5*w + w**3 + 4*w - 2*w**3. Let s(t) = -3*t**2 - 3*t. Let y(n) = 5*s(n) + 3*x(n). What is the second derivative of y(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.6823 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 30 = 10*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffp when four letters picked without replacement from fxppxxxfxpff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1541 > 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.4 + -6. Let f = -4090 - -4091. What is the closest to -0.01 in -5, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 14*x**2 - 14*x - 15. Let r be l(15). What is the closest to r in 2\/11, -0.3, -1\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 922551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 134.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*v + 1, 554*v + 1 = -2*x + 549*v. Factor 26\/3*i**x - 2\/3*i**4 + 20\/3*i + 4\/3*i**3 + 0.\nAnswer: -2*i*(i - 5)*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418753289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7197 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -1007, -2305, -4123, -6467, -9343, -12757?\nAnswer: -16715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238851, 238842, 238819, 238776, 238707, 238606, 238467?\nAnswer: 238284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (183\/(-4))\/((-7 - -3)*6) and -89\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 350.61 (b) 2\/15 (c) 2\/13 (d) 0 (e) -1.8 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*i + 417 + 4783, 3*i = 5*f - 5204. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14783, 17638, 20481, 23306, 26107?\nAnswer: 28878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 74*u + 1418. What is the remainder when 176 is divided by b(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*289633\nAnswer: 868899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 15. Suppose -d = -5*b + 31. Suppose b*r - 4*r - 30 = 0. Solve r*u = -9 - 6, 0 = -2*y - u - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*y + 6 + 46099*y**2 - 46104*y**2 - 10 to the form o*y + j*y**2 + c and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 509 - 4?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -46, -45, -17, 5?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/19 + 2*z**4\/19 - 18*z**3\/19 - 18*z**2\/19 = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9490 - -7559. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103350*y + 3243*y + 151653*y + 153757*y - 2 + 0.\nAnswer: 412003*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1851 times -210.534\nAnswer: -389698.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1176?\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-k - 1 + 2 + 1).\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**4\/4 + 3*r**3 - 5*r**2 + 2*r + 2. Let f(n) = 2*n**2 - 11. Let i be f(3). What are the prime factors of p(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/189 and 41\/42363489.\nAnswer: 381271401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2641 - -23771\/9. Is u not equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = 390. Does 8 divide k\/6 - (0 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/32 and -49\/144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -6, 0.5, 3, 0.2 in descending order.\nAnswer: 3, 0.5, 0.2, -1\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*p**4 - 70983*p**2*v**3 - 10*p*v**3 + 59002*p*v**2 - 2*v**3 wrt p?\nAnswer: 264*p**2 - 141966*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 13064*o**2 - 1259130*o.\nAnswer: 2*o*(o - 95)*(o + 6627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 143273532 divided by -23?\nAnswer: -6229284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116391, -232784, -349179, -465576, -581975?\n\"Answer: -t**2 - 116390*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -80, -186, -292, -398?\n\"Answer: -106*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, 2535, 5, 1, 2 in decreasing order.\nAnswer: 2535, 219, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.64 - 1.14. Let v = 51\/11 - 251\/66. Put y, -0.8, v in ascending order.\nAnswer: -0.8, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h. Let v = 1\/3 + h. Let a be 1 - (-25)\/(-10) - -3. Is v less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + -51 - -79 - 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*g = -1263 + 573 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 107382?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/20 + (-37)\/120*-2. Let j = -0.366 + 0.166. What is the nearest to -8\/7 in 2\/17, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -161.873 - -154.99. Let r = 6.8 + t. Let z = 3.817 - r. Round z to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3117*-3.7\nAnswer: -11532.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94914 or -1328781\/14?\nAnswer: -1328781\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12233 (base 4) in base 15?\nAnswer: -1db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 1:36 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 662 - (1 + -2*2). Suppose 0 = 3*y + 2*y - k. Let p = 33 + -14. Calculate the highest common divisor of p and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1838812 (base 12) to base 15.\nAnswer: -69c678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11712 and 26901?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27346)\/28589)\/(1\/(-23)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -22?\nAnswer: -91\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7292938123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*z + 3*x, -5*z - 2*x = -4*z + 7. Let q be 2\/z - (-68)\/20. Let m be (4 - q)*(-4)\/10. What is the nearest to m in 3, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*8\/288*536\/335.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {q: 2, h: 2, j: 3, s: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 1197.9 (b) -1.6 (c) 0.151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118356038?\nAnswer: 2, 43, 251, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1524*o**2 - 132*o + 3*o**3 - 6*o**3 + 510*o**2 + 511*o**2 + 507*o**2 to the form l + i*o + z*o**3 + h*o**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 54140 (base 7) to base 16\nAnswer: 348e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -544144*s. Let z(n) = -2*n. Determine z(l(j)).\nAnswer: 1088288*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53781, 53652, 53437, 53136, 52749, 52276, 51717?\n\"Answer: -43*m**2 + 53824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-3) - 3\/9. Suppose -4*f = g*o - 63, 0 = -3*o - 0*f + 4*f + 87. Let p = 41 + o. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010020 - 11?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*3\/9*(3 - 6). Solve -w*d + 5 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.92. Let s = -0.22 + k. Let u = -3.398 - 0.602. Which is the smallest value? (a) u (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 2*s + 8. Let a(y) = -2*y**2 + 2*y - 7. Let m(h) = -6*a(h) - 5*j(h). Let o be m(-2). Let b(l) = l**2 + 5*l. Give b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26645205 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219231 is divided by 21883?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -20) + (15 - (14 - -89))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15251485765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0*x = -5*c - 77 + 18, 5*x - 3*c = 102 - 37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39678 and 33888.\nAnswer: 224101344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-8)\/2 - (3 - 2). Suppose -17*g - 33580 + 245349 = h. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(275))**2 + (sqrt(110)\/(sqrt(30)\/sqrt(3)))**2.\nAnswer: -10*sqrt(11) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 93504.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*b + 236309 + 22895 = -5017*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfb when three letters picked without replacement from {b: 1, l: 4, u: 2, f: 3, x: 4}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 1\/5, -372, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 7*b + 2*b - 73*b**2 - 18*b**3 + 5*b.\nAnswer: -18*b**3 - 68*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -53.91. Let r = k - 4.43. What is r rounded to 1 dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + l**4 + l**4)*(1 + 2 - 1) + (-2*l - 4*l - l)*(l**3 + 0*l**3 + l**3) - 19*l**3 - l**4 + 19*l**3 + 5*l**4 - 6*l**4 + 3*l**4.\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-672)\/(-36))\/((-3)\/(-54)). Let y(j) = 74*j**2 + 335 + d - 671. Let i(a) = 2*a**2. Give i(y(c)).\nAnswer: 10952*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3)*(19 - 946\/55)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z = 4*t + 16, 0 = -4*z + t + 39. Let x(c) = -c + 10. Let j be x(z). Find p such that -2*p**2 + 0 + j - p**2 + 6*p**3 - 3*p**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8. Suppose 7 = 5*o - 2*g, -4 = 2*o + 4*g - q. Differentiate -2*d + 7*d**3 + 2*d + o + 6 wrt d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2003, 1540, 775, -286, -1637?\n\"Answer: z**3 - 157*z**2 + z + 2158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*r - 9 = 0, -14 = -42*x + 45*x + 5*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-54576)\/(-5685))\/((-8)\/(-50))*1\/3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 4. Let i be d(5). Let f be (0\/14)\/(0 + i). Factor 1\/4*m**5 + 0*m**2 + 0*m**4 + f + 0*m - 1\/4*m**3.\nAnswer: m**3*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 36306 = -2*x + 78506, z + 114780 = 2*x. What are the prime factors of x?\nAnswer: 2, 28697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/42 - -428*2\/28. Let r(v) = -v**2 + 24*v + 237. Let f be r(p). Calculate the greatest common divisor of 120 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6314, 6281, 6248?\n\"Answer: -33*b + 6347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 23*t - 3. Calculate the remainder when 339 is divided by w(20).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 3*t**2 - 11 - 2*t - 26*t**2.\nAnswer: -24*t**2 - 2*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by 39\nAnswer: 96\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m + 5. Let u(o) = o**2 + o. Let p(d) = 12*d**2 + 6*d + 1. Let n(y) = p(y) - 6*u(y). Let q be n(1). Is i(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/18 - (-4)\/18. Suppose 0 = v*n + 14 - 42. Suppose g + 2*p = 4*g - n, 9 = 2*g + 3*p. Sort -1, g, -5 in descending order.\nAnswer: g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1706, 3428, 5156, 6890, 8630?\n\"Answer: 3*k**2 + 1713*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 39. Let p = m + -28. Suppose 141 = -n - 4*s + 574, p*n + s - 1332 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484 and 15942212?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 32, 55, 88, 131, 184?\n\"Answer: 5*q**2 - 2*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 6*k**2 - 3*k**2 + 13*k - 2. Let j be q(12). Is j*(-23)\/(-2) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 5*i**2 + i. Let v be b(4). Suppose 5*a - 10 = 6*u - 3*u, -5*a = -u - v. Find the first derivative of 3*f - u*f - 1 + 3*f wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 4 - 5 - 5 + 6 in the form p + r*d and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 4602604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75268*f + 1 + 75260*f - 150527*f - 1.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 90*m**2 - 242*m - 1634. What is f(87)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34309, -34306, -34303, -34300, -34297, -34294?\n\"Answer: 3*w - 34312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 789*y = -785*y + 26, a = 5*y + 19 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000038507 to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and -0.036.\nAnswer: 0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3. Let t be z(1). Let u = 22 - 9. Calculate the remainder when 2\/(t\/35) + 3 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 4, y: 1, w: 1, j: 2}. Give prob of sequence jll.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49778.31g to micrograms.\nAnswer: 49778310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/12 + 16*c**3\/3 - 9*c**2\/2 - 352*c. Let t = -15 - -27. What is the tens digit of w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 1052610255?\nAnswer: -1052610245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6))\/(38\/(-57))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 r, and 1 u when four letters picked without replacement from bvuzrrzurdvv.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - h + 28271 = 0, -j - 4844 + 33133 = 4*h. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10642*v - 12. Let m be l(-14). What is m rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40639 + 40638. Sort u, -1\/5, 5.7, -2 in increasing order.\nAnswer: -2, u, -1\/5, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 612502 and 384712?\nAnswer: 5062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = 0, 38 = u + 2*l + 15. Suppose 47*t = 2*z + 48*t - 34, 5*z - 4*t = 59. Is z != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9203647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 37. Let u be -8*(-3 + (-22)\/(-8)). Let c = 5 + u. Calculate the remainder when y is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21433*j + 14209788 - 14209788 as s + l*j and give l.\nAnswer: 21433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 2:19 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-6)\/(-30))\/(8\/10). Let y = -0.31 + 0.18. Let f = 0.03 + y. Which is the smallest value? (a) -5\/6 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. Let w = 14152 + -14147. Sort w, -3, 10, s.\nAnswer: -3, s, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/7)*r*r)\/((r*r*r*r**(5\/4))\/r) assuming r is positive.\nAnswer: r**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 404*x\/7 - 800\/7.\nAnswer: -2*(x - 200)*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -943531*n**2 - 2*n + 499274 wrt n.\nAnswer: -1887062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5005441 (base 7) in base 3?\nAnswer: 1002222120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 337. Let k be f(-37). Let j be (-4 + -8)\/k - (-15 - 3). Sort j, 13, 0 in descending order.\nAnswer: j, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1093757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26906236 and 20?\nAnswer: 134531180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (21 - 13) + -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -4. Let d = -0.7 - k. Which is the closest to 1\/3? (a) -1\/2 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + 1 + -3)*-4)**2.\nAnswer: -128*sqrt(2) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13712, 13688, 13664?\n\"Answer: -24*u + 13736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 84. Suppose 3*x = -x + 56. What is the greatest common divisor of x and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2611\/(-373) - 550\/(-14). Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*b = 140873 - 39890 + 131095. What is the greatest common factor of 110 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3150\/135)\/14*78\/(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 2*y + 7*y**4)*(119 - 243 - 465 - 391).\nAnswer: -6860*y**4 - 980*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274401007*f**2*t**2 + 6461*f*t**2 - 520*f*t wrt f.\nAnswer: 548802014*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139\/284 - 3\/284. What is the nearest to 0 in j, -0.642, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 97*v + 1. Let q be b(1). Suppose 4*a + 155 = a - 2*c, 5*c = 3*a + 148. Let m = q + a. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103776500 divided by -20755300.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 468*d + 33973. Give u(90).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70929 or -70903?\nAnswer: -70929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 58564935.\nAnswer: 1346993505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/12 + 29*z**3\/3 - 4*z**2. Let a be 0 + (-3)\/(-3)*0. Is i(a) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or -1844\/35?\nAnswer: -1844\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38 + 171*j**5 + 35*j**2 - 30 - 6 wrt j?\nAnswer: 10260*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let d be 6\/2 + 0 + -2. Let h = d + w. Let k(g) = -g**3 - g - 1. Let y(l) = 6*l**3 + l**2 + 4*l + 5. Determine h*k(a) + y(a).\nAnswer: 2*a**3 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20575237, -41150479, -61725721, -82300963, -102876205?\nAnswer: -123451447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 39 = -i. Suppose -5*p - i = -3*j - p, 3*j = -4*p + 77. Let w(k) = 5*k - 11. Let g be w(16). What is the greatest common factor of g and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23630413.7 to the nearest 100000.\nAnswer: -23600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1588, -5, 0, -71, -4, 25.\nAnswer: -71, -5, -4, 0, 25, 1588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -65, -150, -269, -422, -609?\n\"Answer: -17*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -4. Let m = -3.925 + 3.725. Which is the third biggest value? (a) m (b) -1\/8 (c) z (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27.482 or 6\/5633?\nAnswer: 6\/5633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55879366 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1517*h**2 - h*o - 286*h - 1554251*o wrt h.\nAnswer: 3034*h - o - 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 6*c**2 + 3*c**2 + (-2*c + c + 3*c)*(-4*c + c + c) + 2*c**2 + 4 - 4 + c**2 + 0*c**2 + 0*c**2 + c**2 - 5*c**2 - 2*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 5:38 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 297340 and 6987490?\nAnswer: 13974980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 392011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 83076140069 plus -69?\nAnswer: 83076140000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66139464*t - 132278763*t + 66139445*t.\nAnswer: 146*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 5*v - 1. Let m be p(5). What is the remainder when 94 is divided by (5 - m)*(-128)\/(-24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.076? (a) 0.5 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/10*35\/14*-1. Suppose 0 = -14*n - o*n + 90. Let r = 3 - 3.4. Which is the nearest to 7? (a) r (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/27 + -2 + 2\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:04 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177678.\nAnswer: 2, 3, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/103)*n*n**(-2)*n)**(-42))**50 assuming n is positive.\nAnswer: n**(4200\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-1\/6)\/v))\/v)\/((v\/(v\/v**8)*v)\/v)*v**(-1\/4)*v\/v**(-2\/7)*v assuming v is positive.\nAnswer: v**(-319\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-63)*2072\/222)\/(-11*30\/(-495)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(190) - sqrt(190)*-2) - (sqrt(190)*-2 + sqrt(190))*5)\/(-6*sqrt(490)*3).\nAnswer: -10*sqrt(19)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**(16\/3)\/(u**(-3\/2)*u**(-1\/17)) assuming u is positive.\nAnswer: u**(-2017\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3\/3*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 20*k - 2.\nAnswer: -20*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + 3*z**4 + 3*z**4 + (-3 + 3 + z)*(4*z**2 - z**2 + 2*z**2)*(z - 1 + 1).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -322 + 349. Suppose 4*h - 19 = -z. Let t(b) = b**3 - 3*b**2 + 1. Determine t(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*h + 33*h - z - 3, 5*z = -4*h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(171)*4*-4)**2.\nAnswer: 6303744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {h: 1, v: 1, a: 3, t: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5705 is divided by 5378?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 divided by -22628?\nAnswer: -453\/22628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**11*z)**(-1\/12))**(-2\/3))**(-20) assuming z is positive.\nAnswer: z**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -40 - -3) + (356 - 237).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 86. Sort l, -4, -0.5, 4 in ascending order.\nAnswer: -4, -0.5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aam when three letters picked without replacement from {a: 3, m: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, -3, 3\/4 in decreasing order.\nAnswer: 3, 3\/4, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 80983.6 minutes?\nAnswer: 4859016000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 3, 92, -5.\nAnswer: -5, -2, 3, 12, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 36 + 324. Does 38 divide 682 - -5*(24\/z)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60286\/9 + 2712806\/405. Find the common denominator of v and -87\/2.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -313 + 5113. What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96? (a) -6 (b) -11\/120 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:41 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 6:27 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007198132279 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100379.\nAnswer: 3, 7, 61, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 0*n)*(-2*n**3 - 2*n**2 + 2*n**2) - 3*n + 146*n**4 + 4*n - 205*n**4.\nAnswer: -61*n**4 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*f*o**3 + 17114168*f*o - 2*f - 161856*o**5 wrt o.\nAnswer: 1050*f*o - 3237120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 23*p**2 - 996*p - 21224. Give d(-20).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274239379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -6*n + 0*n**2 + 3\/100*n**5 - 1\/5*n**3 + 1\/20*n**4 + 0. Let p(c) = 0. What is c?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 993*j - 2892. Let q be f(3). What is the highest common divisor of 36 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from aaaaaaapedaap?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in -4\/5, -812, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + -128 + 40 + 48 + 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11201 (base 3) in base 2?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.3, -61?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 902 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/120 + q**5\/60 - q**3\/6 - 26*q**2 + q + 55. Let u(d) = 8*d**3 - 8*d**2 + 2*d + 9. What is 5*i(w) + u(w)?\nAnswer: 3*w**3 - 3*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8172.6 - 1.18.\nAnswer: -8173.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 24 = -11. Solve 2*i = -4*a - 2 - 6, -r*a = -5*i + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*n - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2317*g - 69468. What is b(-30)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 414.931439 to two decimal places.\nAnswer: 414.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/7516 and 29\/13153?\nAnswer: 52612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12202146 + -1088072. Let i = r - 2114074. What is i rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 111 - 951 = 0. Suppose -1113 = -3*f - 2*x - 2*x, -2*f + 3*x = -725. Let z = f - b. List the prime factors of z.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/24967521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbybckbybocby. Give prob of picking 3 b.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7.63523014463 + 0.04\nAnswer: 7.67523014463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -37577149 < -37577151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 4*a - 8. Let t be i(-6). Suppose u + 5 = 3*v + 2, 6 = 2*u. Let p(y) = 7*y**3 + 3 - v*y - 6*y**3 - 7*y + 3*y - 3*y**2. Determine p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:06 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:07 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-8)*v))**(1\/19)*(v*v**(4\/25)\/v)\/v**(-19\/5))**13 assuming v is positive.\nAnswer: v**(26728\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -1424205460.\nAnswer: -1424205460.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 9:37 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, -10, -2\/11?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -162849 and -162849 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330220303310 (base 4) to base 5.\nAnswer: -13032131141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -215941544 divided by 1528?\nAnswer: -141323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Suppose j = -2*j - f*z + 115, -33 = -j - 2*z. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*o**2 - 997*o**2 - 279*o**2.\nAnswer: -1082*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -638, -635, -636, -641, -650?\n\"Answer: -2*n**2 + 9*n - 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 10\/31 (c) 10\/19047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 8*l + 10. Determine d(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwyywwyywgyyy. Give prob of picking 3 w.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -490 + 526. Let v(i) = 2 - 7 - 27*i**2 - h*i**2 - i - 2*i + 61*i**2. Calculate v(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16382648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 405348016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 980307.6 millennia in years?\nAnswer: 980307600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*d + 385*h + 298 = 352*h, 0 = 5*d - h - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263962201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/142 - 13\/213. Which is the nearest to 0? (a) -11 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 212691049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Let b(c) be the third derivative of 4*c**2 - 1\/12*c**4 + 0*c - 7 - 55\/6*c**3. What is d(b(h))?\nAnswer: 4*h**2 + 220*h + 3025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.1549?\nAnswer: 0.1549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 19. Suppose -c = 4*r + 2*c + h, 0 = -c. Is 326\/r*(-21)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 916 + -623. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/12 + 7*t**3\/6 - 5*t**2\/2 - 40*t. What is y(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5421 - -7870. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17544?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/5*x**2 - 4\/5*x**3 - 4\/5*x.\nAnswer: -4*x*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - -0.07. Let c = -5.06 + q. Let i = -3 + 2.9. What is the closest to i in c, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 x when three letters picked without replacement from uguubbzxzbxbxbzxuxu?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1177, -1144, -1087, -1000, -877?\n\"Answer: o**3 + 6*o**2 + 8*o - 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1086580017, -1086580015, -1086580013, -1086580011?\n\"Answer: 2*n - 1086580019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 168*u + 263*u + 271*u - 554*u. Let q(s) = 5*s. What is c(q(z))?\nAnswer: 740*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520097 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Let q(y) be the first derivative of 3\/2*y**2 - 3 + 1\/4*y**4 + 2*y - y**3. Determine q(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let k(s) = -7*s**2 + 4*s - 3*s + s - 4*s. Let b(d) = -10*d**2 - 3*d. Let u = -29 - -22. Calculate n*b(r) + u*k(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:57 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 9. Let w(r) = -3*r - r**2 + 10*r + 0*r - 1. List the prime factors of w(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -335*a + 14. Let u(o) = -2346*o + 105. What is 15*f(y) - 2*u(y)?\nAnswer: -333*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1552 = 4*p, 3*v - 3*p - 1568 = p. Is (1 - v)*-8 + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -3305, -6513, -9721, -12929, -16137?\nAnswer: -19345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -8*k, 0 = 22*u - 25*u + k + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*(-48)\/112*7\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 78. Let i be z(64). Solve g - 13 = -i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 1. Calculate w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105041623 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 174540146 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -55806 (base 11) in base 16?\nAnswer: -13bc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 274683 + -2031?\nAnswer: 272652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15950?\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28296 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 18 + (-3 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.9 and 0.301441.\nAnswer: 1.4770609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 11.8. Which is the closest to -1\/2? (a) 6 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 19*p - 3. What is the tens digit of n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 - 2. Let b be q(-2). Suppose 5*j + 12 = -4*l + j, 5*j + 25 = 0. Calculate the least common multiple of l and 8\/b*35\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10010101010000?\nAnswer: 10010101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11146234903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + -0.14. Let q = -1450 + 1513.9. Let h = q + -64. Is h <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:49 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*u + x, 5 = -4*x - 15. Let w = -11 - u. Suppose 0 = 5*v + w*f + f - 81, -4*v + 56 = f. What is the lowest common multiple of 3 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 6:59 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.782217 centuries in months?\nAnswer: 4538.6604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 12*d + 36. Suppose 15 = o - d. What is the greatest common factor of o and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*u**2 + 89*u**2 - 18*u**2)*(0*u - 2 + u + 3).\nAnswer: 110*u**3 + 110*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 2 u when four letters picked without replacement from wowuuwws?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/324)\/(2\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1579\/200 - 88\/25. Let j = 515\/36 + -176\/9. Calculate the common denominator of j and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 10*n**2 - 5*n + 18. Let u be (-5 + 9\/2)*-4. Let p be -1*(u + -11)*(-8 + 9). What is the tens digit of i(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -746 - -470?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9257921, -9258103, -9258283, -9258461, -9258637, -9258811, -9258983?\n\"Answer: h**2 - 185*h - 9257737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2042*g**2*h**2 + 81*g**2 - 8 with respect to h.\nAnswer: 4084*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (sqrt(363)*-2)**2 - (sqrt(363) + sqrt(363)*2*6 + 4)**2.\nAnswer: -59912 - 1144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -257, -488, -847, -1328, -1925, -2632?\nAnswer: -3443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876806.\nAnswer: 2, 7, 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -33\/8 (b) 2 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253.185 rounded to the nearest ten?\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2760, 2 in increasing order.\nAnswer: -3, 2, 2760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 14\/4297381 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j - 1. Let r(d) = 2*d + 3*d - 4*d. Suppose -115*f + 116*f + 22 = -5*q, -3*f + 3*q - 66 = 0. Calculate f*r(p) - 2*m(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220 (base 5) in base 6?\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2240 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2 - 1)*3. Suppose -c = -5*a + 3*c - 32, 2*a = -p*c - 24. Let j be -2*-6*(-2)\/a. Solve -8 = 5*l - j*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1014130.648 times -2\nAnswer: -2028261.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x. Let k(h) be the third derivative of -h**4\/8 + 26*h**2. Determine p(k(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3 + 37*d**5 - 2*d**3 - 1013*d**2 + 38*d**5 + 959*d**2 wrt d?\nAnswer: 4500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -81*u**5\/5 + 2*u**3\/3 - 3*u**2\/2 + 2*u + 50. Find the second derivative of n(c) wrt c.\nAnswer: -1944*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -47*z**6\/3 - 249*z**4\/4 + 314*z. Find the third derivative of v(o) wrt o.\nAnswer: -11280*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w, 5*w = 5*y - 853 + 128. What are the prime factors of y?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8515 and 3380.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 7 - 1330*k**2 + 8 + 2393*k - 2391*k.\nAnswer: -1330*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 27*i + 237. Let v be q(28). Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a + 39*a**2 + 0*a + a - 4 + 19*a**2. Let b be m(-9). Let w = b - 12175. Round w to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/3*-2*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/(-2))\/(11\/286*39) + -10?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13475840 and 630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/42*33 - (-12)\/(-21). Suppose 3*f = 4*b + 10 + 9, 2*f - 8 = 2*b. Let t be (-80)\/476 + (-2)\/b. Is m equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17392 and 17395 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2016\/(-120)*(-70)\/147*7?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/6 + 7*a**3\/6 - 15*a**2\/2 - 15*a. Let u(w) = -11*w - 68. Let t be u(-7). Does 15 divide d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + sqrt(304) + sqrt(304) + sqrt(304) + -5 - -1*(sqrt(304) + 0)) + (sqrt(304)*-3 + -2 - (sqrt(304) - (1*sqrt(304) + sqrt(304) + -4)))**2.\nAnswer: 112*sqrt(19) + 1246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34821*c = 34977*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4896 + (-5)\/(1 + -2). Let c = -196 + n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -336.9 and -0.2.\nAnswer: 67.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(30*8\/(-32))*15\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 2\/7 (c) 3 (d) 1\/5 (e) -4155 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 484614659 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -168, -252, -336, -420?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 2*h - 8. Let s(u) = -u**2 - u + 5. Let n = -38 + 21. Let a = n + 14. Let k be (a\/(-9))\/(4\/60). What is k*p(r) + 8*s(r)?\nAnswer: -3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7 - 0.3. Let t = n - -4. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i - 15. Differentiate n**4 - i*n - 3 + 5*n wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072168 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/17 at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from ejeetjtdjtneejeeee.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -4*y - 0*y. Calculate the highest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-33) - 8\/(-44)) + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -17.926?\nAnswer: 53.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**3 + 22*k**3 - k**2 + k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 4*k + 2. Let b(y) = -y**2 - 10*y + 2. Let t be b(-9). Suppose 4*v = -2*a + 3 + t, 4*v = -4*a + 20. Is 2 a factor of q(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/10)\/((-2)\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.14\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/16 and 97\/324.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 2*q + 36*q - 222 + 6*q**2. Is t(13) a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-210)*((-42)\/8)\/((-64)\/1280)\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19185?\nAnswer: 3, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -15292\/3933 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j - 260 = 0. Suppose 0 = 3*w - p - 170, w + p + p - j = 0. Suppose -5*y + w = -3*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 911*p + 543. Let m(l) = 4*l + 2. Let v(u) = -b(u) - 4*m(u). Find the first derivative of v(z) wrt z.\nAnswer: -927","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {u: 2, a: 1, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -46. Suppose 5*m + 15 = -i. Let y = 9 + m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 + 187. Put 4, 1, c in increasing order.\nAnswer: 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/(t*t**(-28)))\/((t*t**38*t*t)\/(t\/(t*t\/t**14*t))) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from xaabzxfafaxaa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 69. Let k = x - 29. Let o = 1 - -1. Sort k, -3\/2, o.\nAnswer: -3\/2, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17.18602 minutes?\nAnswer: 1031161.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825*v - 229*v - 117*v.\nAnswer: -1171*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 32) + 24 - -15 - 38.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -9)\/(20\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6743*j**3 + 26147 wrt j.\nAnswer: 20229*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 399419\/8 or 49926?\nAnswer: 399419\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 19. Determine a(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1800 = 16*p + 4*p. Suppose -13*d + 14*d = 81. Calculate the lowest common multiple of p and d.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:34 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 21*v**2 + 21*v + 18. Calculate the lowest common multiple of n(-22) and 381\/1397 + 437\/11.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158.4 - 140. Let q = 18 - z. Which is the second biggest value? (a) -4 (b) 0.1 (c) -3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 17. Let t(k) = -2*k**2 - 17*k + 2. Let a be t(-8). Does 4 divide f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*n + 0 - 1)*((-2 - 2 + 2)*(3*n - 3*n + n) - 20 + 5*n + 20 - 43*n - 71*n - 64*n) to the form c + j*n + r*n**2 and give r.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(275) - sqrt(11)) + (sqrt(11)*-3 - sqrt(11))*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 147 in descending order.\nAnswer: 147, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -5*x + r - 4*r, r = -2 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.31 + 0.41. What is the biggest value in 0.3, a, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*x**5 - 3*n**2*x**2 - 62*n*x**5 - 27*n*x wrt x.\nAnswer: 60*n**2*x**2 - 3720*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -6, 6, -2, -199, 4 in decreasing order.\nAnswer: 6, 4, 0, -2, -4, -6, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 21. What is the second derivative of 21*k + 5*k - o + 48*k**2 - 7*k**2 + 13*k wrt k?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 5\/3, -35, 0.5, 30?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 600679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from {p: 3, r: 1, w: 4, z: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 355259.3 hours?\nAnswer: 1278933480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(125) + sqrt(125))*-6 + ((sqrt(125) - (1 + sqrt(125) - sqrt(125) - sqrt(125)))*-6 - sqrt(125))**2.\nAnswer: -900*sqrt(5) + 21161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - 174\/180. Let x = -13 + 12. Is x >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0070131 rounded to four decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3 + 80*o**2 - 74*o**2 + 3 + 9*o**3. Let q(i) = -4*i**3 - 3*i**2. Calculate -13*q(d) - 6*t(d).\nAnswer: -2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -0.299. Let p = -46.001 + a. Let q = p + 46.1. What is the closest to q in 5, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/48403927 and -48\/143.\nAnswer: 48403927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6370*f + 9023*f = 21224 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8496 - -14724. What are the prime factors of ((-18)\/4)\/((-54)\/k)?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 3751114.\nAnswer: 202560156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 - -4878.\nAnswer: 4875.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/48*(-36)\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-88) - (-5416)\/14894.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6a03a8 (base 11) to base 10\nAnswer: -1113197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 - (-40)\/(-6). Which is the second smallest value? (a) -4 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, u: 1, y: 1, m: 2, z: 1, n: 1}. Give prob of picking 1 m, 1 u, 1 y, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139*-0.2038.\nAnswer: -28.3282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*g**2 + 3 + (-78 - 4*g + 78)*(3 + g - 3) + g**2 + 0*g + 0*g.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (55\/30 - (3 - 3))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*s - 10 = 62*s. Solve z + 2 = -z + 2*q, z - 1 = s*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -3 + 2 + -19. Let s = p + 13. What is the remainder when 17 is divided by ((-3)\/s)\/(3\/54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/5))\/(j\/j**(-3\/2)))\/(j**(-4\/9)\/(j\/j**16)) assuming j is positive.\nAnswer: j**(-1391\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p + 79 + 2*p - 2*p + 6*p + 9*p**2 - 2*p with respect to p.\nAnswer: 18*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -99 - 28*h + 195 - 99 as o*h + d and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7310 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3133 and 234031967.\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144339.\nAnswer: 3, 13, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v + 1. What is the units digit of j(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23103876.\nAnswer: 2, 3, 1925323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011110101 (base 2) to base 16.\nAnswer: -4f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1. Let q(n) = -n**3 - 5*n**2 + 1. Let t be q(-5). Suppose 3*r = 7 - t. List the prime factors of c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 13) + (12 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36200 to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 34 = 6*t. Suppose -11*v = -t*v - 45. Solve 0 = -n + v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18621 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186*515938.\nAnswer: 95964468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*w + 10 - 2, -4*w = 3*z - 29. Suppose -4*f = -3*i, z*f + 0*i = 5*i. Let p = 3.5 - 4. Which is the closest to f? (a) 1\/4 (b) 1\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 9, 1 in decreasing order.\nAnswer: 9, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i, 6*i - 2*i + 20 = 3*y. Solve 0*p = -p + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -3. Suppose -t*x + 3*x + 16 = 0. Solve -5*g - 9 = -x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 85\/((-2890)\/136)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/4 + 321290*d - 1927749 = 0. Calculate d.\nAnswer: -1285166, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-110)\/22 - 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 30.92. Let s = q - -0.08. Let n = -1.2 - -0.2. Which is the closest to -0.2? (a) s (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-30)\/8))\/(6840\/990000*220).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32809468 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 1, n: 2, c: 1, w: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76 or 19558\/255?\nAnswer: 19558\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 - -221. Suppose 3*f = -f + 12, 27 = 2*u + 3*f. Suppose -u*b + 4*b = -10. Solve -c + t = b*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171 or -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:00 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22685 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -39. Suppose p*l = 27*l. Suppose -3*h + l*h = -6. Solve 2*j - h = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 84810 = -4*u, 3*u + 81*w = 80*w + 63590. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52.1 - -52. Let l be 5\/15*3\/(-5). What is the nearest to l in r, 0.3, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19.4. Let y = j + 0.6. Which is smaller: -7\/5 or y?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-1))\/(1\/(-3)). Suppose 0 = -0*j - b*j + 66. Let s = 37 - j. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -50*f**5 - 37538310*f**4 + 67569072*f**3 - 36036856*f**2 + 6006144*f = 0?\nAnswer: -750768, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9)*(3 + -2). Let q = -0.1 - 0.9. Let z = -7.1868 + 6.6868. What is the nearest to p in q, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvlrlvlrv. What is prob of sequence vrll?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 16 = 3*o, -4*k = 5*o + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 620 = -2*x. Suppose -2*y + 6*y = 0. Suppose 3*a = 2*c - 303, c + 2*a + y*a = x. Calculate the remainder when c is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 4. Suppose q - 2 = 1. Suppose 42 = 5*l - 3*u, 9 = q*l + 3*u + 3. Suppose -2*r - l = 0, -2*h - 5*r = 2*h + 3. What is g(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.66 + 428.34. Let u = -435.000015 + p. What is u rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 1. Determine l(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180126?\nAnswer: 2, 3, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/3 + 2471*w**4\/3 + 17973*w**3 + 100429*w**2\/3 + 48980*w\/3 = 0.\nAnswer: -2449, -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636478071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*x**2 - 24*x + 24*x)*(-3*x - 2*x + 1 + 3*x) + (5 - 5 + 2*x)*(51*x**2 - 4904*x + 4904*x).\nAnswer: 70*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13)*w**(1\/4) assuming w is positive.\nAnswer: w**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 59, 4, -5 in increasing order.\nAnswer: -5, 4, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35860000 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -17*f**2 + 2. Let i(y) = -519*y + 531*y - 9*y + 0 + 4. Give i(a(l)).\nAnswer: -51*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 2. Let o be j(2). Suppose -w = -o*w. Is w*2\/4 + 20 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21683179.\nAnswer: 7, 431, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -10, -25, -44, -67, -94, -125?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-467 - -519) + (-24 - -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + 30*r + 3. Let t(w) = 15*w**2 - 110*w - 11. Let a(j) = -11*h(j) - 3*t(j). Let v(q) = 13813*q**2. Give v(a(n)).\nAnswer: 13813*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -11\/5, 6.1, 1, -1593?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/7 - 475*l**4\/7 + 73098*l**3\/7 - 4873270*l**2\/7 + 143386501*l\/7 - 1529388255\/7 = 0 for l.\nAnswer: 31, 79, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2.9. Let u = -59 - -59.07. Let y = u + 4.93. Which is the biggest value? (a) y (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 449, 520, 581, 626, 649, 644?\n\"Answer: -m**3 + m**2 + 75*m + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -4.70464\nAnswer: 2.35232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.331538 decades?\nAnswer: 83.31538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + 35. Let n = 57.67 - q. Let a = n - 6.37. What is a rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 664, 876, 1014, 1084, 1092?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u = -1994 + 12884. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897897996 to the nearest integer?\nAnswer: 29965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-4)\/1)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -1 (b) -49\/6 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11773520 divided by 17314?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(28) + 2) + 4*(sqrt(28) + -3))**2.\nAnswer: 88*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2893.\nAnswer: -5\/2893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*b = 150, -2*d - b = 2*d - 280. Let o = d + -8. What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {f: 1, y: 4, x: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) 0.2 (c) -4049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a factor of 701358450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 5*j**2 + 5*j. Let x be h(-6). Suppose 100 = -x*f + 1948. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1934544 (base 10) to base 2.\nAnswer: -111011000010011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 173 - -319. Suppose -4*c = -4*n + i, 0 = 2*c + 3 - 1. Calculate the lowest common multiple of n and 7.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmddddmdm. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -294 - -613. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 2*r - 2*r. Let d(l) = -391*l - 2*l**2 + 391*l. What is u(d(p))?\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*q - 7 = 0, 0 - 11 = 5*n + q. Let c be 1 + (3 - (3 + n)). Find the second derivative of -i - 75*i**2 + 2*i**c + 75*i**2 wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*u - 118 = 0, 4*u = -x + 4*x + 85. Let z = -153\/5 - x. Is z smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53339, 106597, 159855?\nAnswer: 213113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z**2 + 14*z**2 - 17*z**2 + 2*z**2 - 26*z**2 + 0*z**2 + (z - 6*z + 3*z)*(1 - 1 - 5*z) to the form x*z**2 + k + v*z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l**3 + 2*l**2 + l - 5. What are the prime factors of n(2)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -404212, -808427, -1212640, -1616851?\n\"Answer: i**2 - 404218*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 130720 to the nearest one thousand.\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 0 - 13\/(-3). Which is the second biggest value? (a) -0.05 (b) q (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/5, 25, 0.3, -0.4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 24*a - 7. Let j be i(12). Suppose -3*o + j = -16. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009859 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**7\/14 + 2*z**4\/3 + 9*z. Find the third derivative of o(j) wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllcypclleeslllylle. Give prob of picking 1 p and 2 c.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v + 180. Let o be (-4)\/(-14) - (-332)\/14. Calculate the greatest common divisor of v and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3\/2, 5, 3\/8, -0.2 in increasing order.\nAnswer: -3\/2, -1\/2, -0.2, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/1 - (20\/28)\/(-5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*(-1 - (-28 - -29)*240\/(-198)) + -6.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -z - 3. Let b be 3*(z\/2)\/5. List the prime factors of (-44)\/2*b - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -9 + 47 + (-25 - -7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6786 and 936?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -6. Suppose 3*f - s = -0. What is the units digit of (f - 4)*9\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-6) + 1\/(-3). Suppose -18 = x - 7*x. Suppose -4*t + a + 72 = -d*a, x*t + a = 34. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g + 90. Let d = g - 30. Let s = 9 + d. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -8.1 (c) 711 (d) -1\/5 (e) -0.072 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*j - 1 = 0, 0 = 14*i - 11*i + 2*j + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5636271 - 5?\nAnswer: 5636268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21317219 is divided by 115?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*i + 11*i. Let s = 4 - i. Suppose -4*n + 211 = -5*a, n - s*a - 25 = 33. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a224a (base 11) to base 2.\nAnswer: -1110011000110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295920 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31787 and 674101.\nAnswer: 1127770973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1768477970 to the nearest 100000.\nAnswer: -1768500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 + -96. Let n = t - 71. What is the closest to n in -3, -1\/3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 9:52 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4 + (-60)\/(-8). Suppose 2*w - d = -w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13876806*c + 10451013?\nAnswer: -13876806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o + 23214. Let g(x) = 27*x**3 - 2*x**2 - 2*x + 3. Let j be g(-3). Let t = o - j. Round t to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.006720551 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4 - 4*v + 5 - 3. Let r(c) = c**2 - 7*c + 2. Let l be r(6). Let x be a(l). Solve -5*s = 20, s = -2*d - x + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 35*t**2 + 1225*t + 40393. Give p(-34).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(468) - sqrt(468)*1) - (-1*sqrt(468) - sqrt(468))*5)**2 + -4*(0 + -1*sqrt(1300) - (sqrt(1300) - (-3 + sqrt(1300)*-1))).\nAnswer: -360*sqrt(13) + 46828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15348087.\nAnswer: 3, 353, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 17. Give b(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -50. Let n = -38 - y. Let b = 0 + 0. What is the closest to b in -2\/13, -1, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 187*d**2 + 498*d - 520. Determine k(1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5 - 637*o**4 - 43619*o**3 - 865095*o**2 - 5362650*o = 0.\nAnswer: -34, -15, 0, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-64)\/352 - (-268)\/22. Suppose -h*i = -17*i. Solve 4*g + 2*g + 30 = i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*-61.\nAnswer: -12.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -3 (c) -130 (d) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 8*o**2 + 13*o - 81. Let j(b) = -21*b**2 + 13*b + 14. Let p be j(-1). Is t(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 42*x**2 + 188*x - 167. Give y(37).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1811 + 405663\/224. Let o = u - 9\/32. Let x = 0.1 + -5.1. Which is the third biggest value? (a) -0.2 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2097\/15 + (-3)\/(-15). Suppose -z + d = z. Suppose -91 - 49 = -5*m. What is the greatest common factor of z and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -441 - -457. List the prime factors of ((-15)\/(-6) + -2)\/(l\/25888).\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3754056 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2768219.\nAnswer: -3\/2768219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/3 + -11\/6. Let z = 68.4 + -9.4. Let d = -63 + z. Put d, -4\/5, b in descending order.\nAnswer: b, -4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-1) + 2 + 6. Suppose 2*d + 1 = s + n*d, -19 = -4*s + d. Suppose 2*q + s - 26 = 0. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-5))\/((-1239)\/(-2065))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13748 + -13771)\/(-1 - 0 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k - y - 2*y - 85, -2*k - 85*y = -87*y - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = 80*q - 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4956 - -4959. Put h, 0, -33 in ascending order.\nAnswer: -33, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**7\/30 + 3*j**3\/2 - 8*j**2. What is the derivative of n(y) wrt y?\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 29.8. Let x = h - 0.2. Let f = -261 + 256. Which is the nearest to -2\/3? (a) f (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtoorrmyrrttrtmyttmo. What is prob of picking 1 m and 1 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66904 is divided by 33432?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, e: 3, x: 1, v: 3}. Give prob of picking 1 x and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(22)\/(sqrt(704) - -2*sqrt(704)) - (sqrt(2) + sqrt(16)\/sqrt(32) - sqrt(288)*-2)))**2.\nAnswer: 746642\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166*n**5 - 29*n**3 - 5*n**2 + 499*n wrt n?\nAnswer: -9960*n**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -592584.\nAnswer: -4740672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -227022 divided by -1446?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1*(-17)\/238\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5450*t**5 + 2300*t**4 + 4*t**3 - 188*t**2 - 771093.\nAnswer: 327000*t**2 + 55200*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*h + 10*h - h - 3*h to u + x*h and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + 0 + (8 - 12) + -1. Suppose 0 = -r*k + 3*k + 4*m + 35, -k + 26 = 5*m. Let t = k + -13. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(c + 0*c + 0*c)*(0*c**2 + 0*c**2 + c**2).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -286*i + 6843. Give n(24).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + (sqrt(475) + 1 + 2 - (sqrt(475) - (sqrt(475) + -1)*-4)))**2.\nAnswer: 40*sqrt(19) + 7601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1 (c) -2\/7 (d) 0.3 (e) 128964 (f) 1.3 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1428.13*-0.2\nAnswer: 285.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.5. Let h = 0.1 - -2.9. Let g = -2.7 + h. What is the second smallest value in v, g, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -895\/9177 + 1\/437. Suppose -1 = -5*n - 61. Let b = -54 + 50. Put c, b, n in descending order.\nAnswer: c, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/35? (a) 5 (b) 2\/35 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 3*z = -4696. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -155. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) + (-323)\/(-68). Suppose 3*v = -n*g + 439, -2*v + 41 + 250 = 5*g. Suppose -2*z + v = 2*z. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 4. Let z(w) = -w**3 + 7*w**2 - 4*w - 6. Let i be z(h). Calculate the greatest common divisor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*t**3 + 1741621*t**2 - 85258422.\nAnswer: -42*t**2 + 3483242*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-9))\/((-8)\/(-588)). Is (-7070)\/r + 2\/(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xvhxxxhvlxvh.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z\/(z\/z**(-4)))\/z)\/z))\/z**8)**(-40) assuming z is positive.\nAnswer: z**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.41 - -18. Let w = 51323 + -51322.58997. Let f = w + x. Round f to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yodtiddotxoyttytt. What is prob of picking 2 y and 1 i?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 222*o + 28877. Give u(-92).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31549*g**3 - 37219*g wrt g.\nAnswer: -189294*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21219784311634 + 0\nAnswer: -21219784311634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -1)*-6 + -5.\nAnswer: -54*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14554 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: What is the value of (-6)\/15*20\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -8. Let w be ((-168)\/6 - -4)\/(3\/46). Let d = -362 - w. What is the highest common factor of i and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 2*v**2 - 2*v + 6. Let t be d(-3). Suppose -t*g = a - 76, a - 44 = -2*g - 3*a. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12271 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7703 + -22895\/3. Let p = h + -72. What is the second biggest value in p, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 5:59 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.021 + 6.579. Let i = 7 - y. Which is the third biggest value? (a) -1 (b) 5\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0*v**3 - 4*v + 3\/2*v**2 - 3\/4*v**4 + 0. Differentiate w(z) wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4aa9ba6 + -c?\nAnswer: 4aa9b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7374446 (base 10) in base 9?\nAnswer: 14778748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2 + 0*b + 2*b + 0*b - b. Let j be -1 + (1 - (4 + -2)). What is h(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*4*3*(-51)\/(-340)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 + 4*q + 2. Let g = -8869 - -8865. Let i(r) = -3*r**3 + 8*r**2 + 9*r + 4. What is g*i(p) + 9*z(p)?\nAnswer: 3*p**3 + 4*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179622 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23296554881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-2))\/((-162)\/(-81)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.274 + -0.026. What is the nearest to -1 in 0.2, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/15*(-6)\/8. Suppose t*n = 4*v - 14, 4 = 4*v - 3*n - 9. Suppose 9*m = v*m + 190. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -6.7.\nAnswer: -174.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 15*w = 5, -r + 4*w = 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.022 - 0.028. Let m = 0.75 + t. Round m to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 17*z**2 - 35*z - 5. Let y be d(-5). Is 9869 - (-1 - (5 - (y + 9))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131858750 and 1850.\nAnswer: 131858750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 28*h. Let y(a) = -9128*a - 1. What is y(r(b))?\nAnswer: -9128*b**2 + 255584*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 31280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -52.35, 3, 2\/5, -96, 1\/4 in ascending order.\nAnswer: -96, -52.35, 1\/4, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1370, -2722, -4074?\n\"Answer: -1352*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33752 is divided by 11226?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1932 + 1951. Solve -6*y = r + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2*d**2 + 3*d + 3. Let f be k(-3). Suppose 4*i - 222 = -f*s, 0 = -2*i - 3*s - s + 106. Calculate the remainder when i is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10568, -21216, -31876, -42554, -53256?\nAnswer: -63988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 13*g - 19. Let z be n(-11). Calculate the greatest common divisor of 24 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eehr when four letters picked without replacement from {w: 1, e: 5, r: 3, h: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -1603, -3460, -5999, -9196, -13027, -17468, -22495?\nAnswer: -28084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7.5. Let c = -0.4 + 4.4. Let d = i - c. What is the closest to 0 in d, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.3, -703, 6, -1?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24 - -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -4*f - 12, -19852*f - 1 + 17 = -19851*f + 5*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d01 - 633?\nAnswer: 16ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 20*l**2 - l + 16. Calculate f(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1903, 7662, 17325, 30946, 48579, 70278?\n\"Answer: 9*w**3 + 1898*w**2 + 2*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.48733g in micrograms?\nAnswer: 29487330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229838 is divided by 456?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 15*l**2 - 14*l - 29. Let n be p(16). Solve 4*q = -n*d + 4*d, q = -1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 28*c - 26. Let g be y(15). Suppose -3*x + 325 = 4*b - 458, b - g*x - 191 = 0. What are the prime factors of b?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -947, -2580, -5301, -9110, -14007, -19992?\n\"Answer: -544*a**2 - a - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21957.018 months to millennia.\nAnswer: 1.8297515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20022221 (base 3) to base 7.\nAnswer: 16312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -102, -211, -320?\n\"Answer: -109*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.566635391 rounded to four dps?\nAnswer: -0.5666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, 7, -10, -52 in ascending order.\nAnswer: -52, -10, -5, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0249386983 to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (0 - 3) - (19 + -11 + 30)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 - 46*d**2 + 21*d - 32. Calculate y(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 2*c + 4*c + (50 + 38 + 25)*(0*c - c + 4*c) + (-4 + 0 + 5)*(-c + c - c))*(-2*c + 3*c - 2*c).\nAnswer: -336*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*(sqrt(85) + sqrt(85) + sqrt(85) + -2*sqrt(85)))\/(3*(sqrt(720) - ((sqrt(720)*2 - sqrt(720)) + sqrt(720)))).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815821983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -44379338 and 18.6.\nAnswer: -44379319.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 0*u - 88*u**2 + 71*u**2 - 3*u.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30516 and 12?\nAnswer: 30516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3627*c**2. Let f(q) = 36*q**2 + 3. Determine f(x(g)).\nAnswer: 473584644*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.080418 + -65.635.\nAnswer: -65.554582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 6 (c) -0.7 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmecmmcyjyqqcmj. Give prob of picking 1 q and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10)*5*-1. Let h be g\/(-11) - (-1200)\/(-55). Let z = -12 - h. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 20*j**2 + 126484*j + 25296 = 0?\nAnswer: -6324, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 21*d**2 - 21*d + 31. Is l(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (9 - (1 - -5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1)\/(4\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22170 is divided by 2974?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Suppose f*d - 6 = 2. Find the second derivative of -n**3 - 3*n**5 + 5*n**3 - n - d*n**3 wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.4? (a) -2\/31 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000200616746 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-5) + (-36)\/(-15). Suppose 0 = s + 4*a - 22 - 12, -m*s - 3*a = -129. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/6 + 15379661*g + 709601917424763\/2 = 0. What is g?\nAnswer: -46138983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2403 + -570. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162204696 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/11 and -15\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {o: 4, k: 14}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21000285 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/84*(-5 - (-321)\/60).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-3)\/((2 - (-58)\/(-26))\/(9 + 3560))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7976999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 32*g - 620 - 35 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -878*g**2*k**5 - 14*g**2*k - 2*g*k**2 + 3*k**6 + 7*k**2 - 3 wrt k?\nAnswer: -52680*g**2*k**2 + 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 5135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 4 = 0. Let q = -35 + 40. Suppose 3*c - w*c = -3*u - 17, -q*u - 25 = c. Let r(l) = -3*l - 5. Give r(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/5 (b) -2 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:25 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 8*t + 3*j, -5615*t = -5614*t + 3*j - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 2*z**7\/105 - z**6\/5 - 17*z**5\/5 + 112*z**4\/3 + 392*z**3 + 2239*z**2. Factor u(y).\nAnswer: 4*(y - 7)**2*(y + 2)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) 2 (c) 3\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-44))\/(61\/(-5368)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1182.9588 to the nearest integer.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 6. Let z(v) = -2*v + 3. Let h be z(-1). Let l be w(h). Which is the closest to l? (a) 0 (b) 5 (c) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/182 and 10\/17.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/41725145 and -74\/3793195.\nAnswer: 41725145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let l be ((-12)\/(-8))\/((-1)\/(-2)). Let o(u) = -u. Suppose -3*j - 10 = -5*j. Let i(f) = j*d(f) + l*o(f). Let r(k) = 4*k**2. What is i(r(n))?\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -120.19 and -1.43?\nAnswer: 171.8717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -9 - (-12 - -24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 9648*q + 28.\nAnswer: 9648*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 363844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 154027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 303 = 39 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -9*a + 12. Suppose 5*p - 12 = -2*n, a*p = 4*p + n. Solve 0 = -3*d - 3*s + 15, 2*d + 0*s = p*s - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 + -420. Let d = -159 - s. Solve f = -2*x + 1, -5*x - 2 = -f + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1543090 and 78300.\nAnswer: 416634300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -193.808 and 0.1.\nAnswer: -193.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2739530, 2739536, 2739544, 2739554, 2739566, 2739580, 2739596?\nAnswer: 2739614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 60?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*g + g + 19 = 0, 2*v + 48 = 2*g. Let h = v + 29. Let p be (10*-5 - h)\/(-2). What is the highest common factor of p and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 3*k**3 + 2*k**3 + (2*k**2 - 2*k**2 + 2*k**3)*(3 - 1 - 5) - 4*k**3 + 2*k**3 + k**3 + (-7 - 3*k + 6 + 0)*(5*k**2 - k**2 - 3*k**2).\nAnswer: -9*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/9 - 7918*j**4\/3 - 7916*j**3 = 0. What is j?\nAnswer: -11874, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3017.45506 and 4.\nAnswer: 12069.82024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 + -2 + 5 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 61 + 45 = 4*v, -4*s - 12 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63910 is divided by 619?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 168412 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(336\/(-9504)) - (-12)\/28.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + -6)*10\/4. Suppose s + 5 = 0, 2*s = -o*h - 3*s - 25. Solve -5*i + 9 - 4 = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1044142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 215\/(-31) + (-40)\/620. Suppose -9 + 1 = 2*s. Let h(x) = -x**2 - 2*x + 2. Let o(f) = 2*f**2 + 3*f - 4. Determine s*o(u) + y*h(u).\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*x. Solve x = -k - 4*y - 11, -5*k + y = -2*y + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3456))\/(sqrt(80)\/(sqrt(40)\/sqrt(4))) + -1.\nAnswer: -1 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u + 5. Let d(t) = -9*t**2 - 238*t. Calculate d(p(f)).\nAnswer: -900*f**2 + 3280*f - 1415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - y + 5. Let i be m(-5). Let q be -1 + 6 + -1 + 1. Suppose -q*g + 7 = -4*g. What is the greatest common factor of g and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 27, -67, -327, -837, -1681?\n\"Answer: -14*f**3 + f**2 + f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc (base 14) in base 7?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -5*k + 52. Suppose -3*a = k - 324. Calculate the greatest common factor of a and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2132 + 25525. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 51 = 4*z - 5, 3*z = -5*u - 15. Suppose -16*t - 6 + 6 = 0. Put z, t, -3, -2 in increasing order.\nAnswer: z, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77 - 7 - (11 + -39)) + (-13 - 1) - -5.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -413.55 + 413.5. Let g = 1 + -4. What is the third biggest value in p, 3\/2, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**5\/20 + 7*c**4\/12 + 5*c**3\/6 - 3*c**2\/2 + c. Suppose -3*z + 3*l - l - 20 = 0, l = 5*z + 31. Give o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 12*l**2 - 25*l - 27. What is d(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3733668110 to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 + d + 1. Let w be u(-1). Suppose -n + w*n - 20 = 0. Let j(l) = -2*l + 6. Give j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - 91*k + 60 + 12 - 2*k**2 + 92*k + 2*k**2 to t*k**3 + f*k**2 + w*k + h and give h.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + 2 + (16 - -2) + 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*g**2 - g - 1833 - 4*g**2 + 1723 wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j + 17*j = 118 - 1002 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7299 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1583758437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1253*1)\/(-9 - (5 + -13)). Solve -1255*p + y*p = 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 445 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 860334176 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102 - 413330344?\nAnswer: -413324242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s + 3. Let u(v) = -v - 1. Let p(w) = u(w) + z(w). Let q be p(-2). Calculate the greatest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -310649 minus 0.029?\nAnswer: -310649.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26267292*c + 78801854*c - 26267283*c - 26267302*c.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(14\/3 + -4). Suppose -s + 0 = -3*m. Find the second derivative of -4*n**m - 10*n + n**4 + 4*n**4 + 7*n**4 wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28013477 by 5.\nAnswer: -28013477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, 0 in increasing order.\nAnswer: -26, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and -62?\nAnswer: 9.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)*z**(1\/8)*((z*z**(-9\/8))\/z)\/z**(-4\/3) assuming z is positive.\nAnswer: z**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1476, -2952, -4432, -5916, -7404?\nAnswer: -8896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(190))\/(sqrt(20)\/(sqrt(8) - sqrt(2)))*5)**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -7)\/(3630\/210 - 17).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260542 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-395 - -386) + (-12 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 2*n + 2*b, -n = b + 2*b + 101. Let u = n + 88. Sort 3, -4, u in decreasing order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b362b1 - -10?\nAnswer: b362c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/299 - -305\/897. What is the second smallest value in f, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 - 2*c + 140. What is o(0)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 a when three letters picked without replacement from {a: 6, u: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1118.9 - 1118.5. What is the closest to 1.2 in 0.3, h, 0.08?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 24*x - 59. Give l(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*v - 464 - 473 + 935 + (-2 + 0 + 5)*(-2*v + 2*v + v) - 4*v + 2*v + 3*v to c*v + m and give c.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(2401))\/(sqrt(42)\/(3*sqrt(54)))*2)**2.\nAnswer: 4000752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 307*z**8\/336 - z**5\/30 + 11*z**3\/6 - 5*z**2 + 9*z. Find the third derivative of s(j) wrt j.\nAnswer: 18420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 13*h + 41. What is the units digit of k(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemweewweewweeeew. Give prob of picking 4 e.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l + 330 + 22 = 17*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffz when three letters picked without replacement from {f: 10, z: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-63)*1026\/1710\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352171838.\nAnswer: 2, 1181, 149099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 14*a + 2*a + (4 - 4 - 2)*(-3*a + 0*a + 5*a) + (-1 + 2 + 0)*(-3*a - a + 3*a) - 4*a + a + 5*a + (0*a - a - a)*(1 + 3 - 5) + 82 + 29*a - 82.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**3 - 647494*s**2\/3 + 665554*s - 53964 = 0.\nAnswer: -26982, 1\/12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) 4.2 (c) -14 (d) -1535 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*(4 + -3))\/7. Let w = -137\/2 + 1785\/26. Let a = 15 + -14.8. What is the closest to g in a, -1\/3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 48 = 14*r. Let w(k) = 11*k + 342. Is w(r) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 11:36 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07516, -1\/10, -121?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 616546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03 and 55.\nAnswer: 54.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-5\/8)*n**(2\/29)\/n**(4\/3))\/(n**(2\/23)*n**8\/n)**(-16) assuming n is positive.\nAnswer: n**(224366\/2001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322073920 to the power of 1\/3, to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1\/3))\/k)\/k)**(3\/10)\/(k\/((k\/((k**13*k)\/k))\/k)*k*k**(-23)) assuming k is positive.\nAnswer: k**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - 5*g**3 + g**3)*((0 - 2*g + 0)*(-3*g + 0*g + 4*g) - 2*g**2 - 1 + 1 + 0 - g**2 + 0).\nAnswer: 40*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174746509.\nAnswer: 7, 4229, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {k: 1, h: 12, i: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 85 = 5*g - 218 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:15 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 191 = -317. List the prime factors of (126\/d)\/((-6)\/(-188)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrrrnnmrmrrrm. What is prob of picking 2 r and 2 m?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/2031506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 186. Solve u + 11 = -2*j, d*u - 18 = 2*u + 4*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7289 - -7295. Sort 2, p, -1244 in ascending order.\nAnswer: -1244, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcyy when four letters picked without replacement from vyvmmmcvmvyvv?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3 - -7.3. Let t(g) = -g - 3. Let r be t(-6). Suppose 2*h - 4*h - 1 = -r*m, -h = 4*m - 5. Sort m, -3, u in decreasing order.\nAnswer: u, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463911*q**3 + 463910*q**3 - 927823*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.27247 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let r(m) = m**2 - 6*m. Determine p(r(t)).\nAnswer: t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from rroeuoyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 2*y. Let w(l) = -12*l**2 - 14*l. Let x(z) = 14*r(z) + 2*w(z). Let j(t) = -2*t. What is j(x(v))?\nAnswer: 76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z + 2. Is -2 - (z - 0) - -66 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14750 - -14980. Calculate the remainder when r is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-59 - -66)\/((-1)\/2). Let d(g) = -2. Let y(q) = q**2 + 15*q + 14. Let x(w) = -2*d(w) - y(w). Calculate x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:43 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 2*k - 4 = 3*n - 9*n + 7*k, k + 0*k = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13626 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*q**3 - 170*q**3 + 66*q**3 + 82*q**3 + 83*q**3 - 179*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -5 (c) -31 (d) 8 (e) 5 (f) -0.5 (g) 26\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i - 21 = -f - 19*i, 4*f + 3*i - 9 = 0. Solve -f*h = -2*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/2 + 99*w**3\/2 - 203*w**2\/2 - 99*w\/2 + 101 = 0.\nAnswer: -101, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 1:59 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 541*r**5 + 19*r**2 - 8*r.\nAnswer: 32460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttq when three letters picked without replacement from cccctqtccttcttcccc.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 + 128. Suppose 12 = q - 4*a, 3*q = q + 2*a + j. Suppose 0 = -4*r + q + 40. What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1688808, -1697882, -1712998, -1734150, -1761332, -1794538, -1833762?\nAnswer: -1878998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-1\/25))**10 assuming a is positive.\nAnswer: a**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**2 + w - 7. Give d(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 9)*(0*o - 5*o + o) to j + m*o and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n - 90 = 60 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85415, -170815, -256189, -341525, -426811, -512035, -597185, -682249?\n\"Answer: 2*n**3 + n**2 - 85417*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1200?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*(-5 + sqrt(17)*4)*4*1 + 5)**2.\nAnswer: -21696*sqrt(17) + 169441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 14*x - 1053. What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.542 times 17192?\nAnswer: -9318.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 4, -3, 0 in decreasing order.\nAnswer: 4, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 + 66*p + 2. Let q(w) = 14*w**2 + 131*w + 4. Calculate 5*f(o) - 2*q(o).\nAnswer: -3*o**2 + 68*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (6*1)\/(-3). Suppose v + 3*z + 8 = 0, n*v - 4*z - 14 = 3*v. Let t be (-4)\/(1\/4*v). Solve 0 = -3*g + 5*g - t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 - 418*w**2\/9 + 140*w\/3.\nAnswer: -2*w*(w - 1)*(w + 210)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111146 and 374.\nAnswer: 1222606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3997350.68 rounded to the nearest 10000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -24 - (-72)\/12 - -21. Suppose -4 - 1 = -w + 3*r, w + 13 = -3*r. Put w, -3, y, 1 in ascending order.\nAnswer: w, -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 15*h**2 - 22*h - 22. What is v(13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 8. Suppose 0 = -4*l + k - 51 + 4, 0 = -4*k - 4. Suppose -2*z = -z - 7. What is the remainder when m(l) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/6)\/o*o)\/o*o*o**(-2))**(-32\/7)*((((o*o**(-1\/19))\/o*o*o)\/o*o)\/o*o\/(o\/((o\/o**(-3))\/o)))**39 assuming o is positive.\nAnswer: o**(65377\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6890306 is divided by 349.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + f - 2. Suppose -5*y - g + 21 - 2 = 0, -y - 5*g + 23 = 0. Does 12 divide r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 10*d. Suppose 0 = 4*z + 3*y - 96, d*z = 3*z + 5*y - 72. Let k(r) = -z*r + 12*r - 2 + 2. Let s(m) = 2*m. Calculate k(s(p)).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(6\/4)*120\/16. Let t be (-12)\/u + ((-6)\/5)\/(-2). Which is the second smallest value? (a) 1\/3 (b) -0.1 (c) t (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2 + 2. Let l(w) = w**2 + 16*w - 4. Let m(v) = v**2 - 20*v + 4. Let t(n) = -5*l(n) - 4*m(n). What is -11*a(s) + 6*t(s)?\nAnswer: -10*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejuuje. Give prob of sequence eu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 18*y + 7. Let m = -425 + 442. Determine n(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0677312 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69115121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-51346)\/(-10) - (-432)\/1080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31211001011 (base 4) in base 2?\nAnswer: -1101100101000001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a702 - 9a?\nAnswer: -a7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147877 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -450029830?\nAnswer: 450029830.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.1142 + 784.7.\nAnswer: 791.8142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2 - 6*v + 4 - 2 + 5. Let f be l(-6). Let m = f - 24. Calculate the greatest common factor of 34 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 31*u**2 - 45*u - 2461. Let i be r(-32). Solve 0 = 3*s - 4*v + i, 3*s - 62 = -2*v - 83 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 4:48 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -92. Calculate the greatest common factor of 32 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 + 132*a**2 + 123*a + 44. Calculate k(-32).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1958845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (180 - 180 - 39*p**2)*(0 + 3 - 2)*(1 - 3 + 0)*(-8 + 21 - 183 - 254).\nAnswer: -33072*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/15)\/((-164)\/(-15990)). Calculate the highest common divisor of h and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/240)\/(-3 - 62\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 54.3. Let v = -1940.298 + 1943. Let j = v + m. Round j to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/23585 - 1391547\/377360. Calculate the common denominator of x and -37\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107418 is divided by 5650?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1203*z - 27397 + 8149 = 0 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.96 + 9. Let k = v - -0.02. Let q = -2.06 + k. What is the third smallest value in -1\/8, -3, q?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3752?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 5*r - 2*r + 7*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/11, 9, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 20*v - 60.\nAnswer: 5*(v - 2)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99841.72 kilograms to micrograms.\nAnswer: 99841720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 1:02 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -40.3?\nAnswer: 8.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {b: 3, p: 3, e: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -d95cd?\nAnswer: d95d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353 and 952747.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 548656 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4904 + 4547. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964787643 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36778 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z**3 + 2616*z**2 + 5223*z + 2617. Let f(k) = -25*k**3 - 3925*k**2 - 7835*k - 3925. Let i(h) = 7*f(h) + 10*m(h). Factor i(y).\nAnswer: -5*(y + 1)**2*(y + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -116, -119, -122, -125, -128?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 418 and 1102?\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*m + 675 + 130. Sort 26, -3, m in ascending order.\nAnswer: -3, 26, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c + 90. Let d be j(6). Let a be 0 + (-57)\/64 + (1 - d). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.9. Let s = -3 + b. Let h = -392\/3 - -132. What is the second biggest value in s, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4106602*y**3 + 21*y - 41777 wrt y.\nAnswer: 24639612*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.61752 less than 56.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519795, -519609, -519301, -518871, -518319?\nAnswer: -517645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(72).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 24*z**2 - 23*z + 191. What is the hundreds digit of n(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/6)*(((g*(g**(-20)*g)\/g*g)\/g)\/g)\/g)\/((g\/(g**(-20)*g)*g)\/(g\/(g*g**(-24)))) assuming g is positive.\nAnswer: g**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckeeollw. Give prob of picking 2 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 349 and -2.976.\nAnswer: -1038.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04587 smaller than 2\/107109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Let s = 110 - 112. Let n(f) = -f. Determine s*n(g) + k(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11331245?\nAnswer: 5, 59, 71, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65449\/22358 - 2\/1597. What is the common denominator of -65\/72 and q?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:45 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9 - (-580)\/6. Let u(p) = 88*p**2 - 445*p + 43. Let w be u(5). What is the greatest common divisor of v and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92904 divided by 4\nAnswer: 23226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/20 + 5*z**4\/12 + z**3 + 3*z**2 + 9*z. Let m(h) = -h**2 + 23*h - 27. Let u be m(22). What is g(u)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29)\/2 - (-181)\/((-17014)\/(-1316)). Let l = 28 + -19. Put 3\/11, w, l, -0.1 in decreasing order.\nAnswer: l, 3\/11, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:20 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2997 - 3045 - 3011 - 7*c + 9053.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -10, 1\/22, 2\/3 in descending order.\nAnswer: 2\/3, 1\/6, 1\/22, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - 3*i**2 + 0*i**2 + (-5*i + 2*i + 2*i)*(6*i - i - 3*i) + (i + i - 3*i)*(3*i + 0*i - i) - 1 - 3*i**2 + 1 + 2*i**2 + 1 - 1 - 2*i**2 + i - i.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 9)*0\/2. Let r(x) = -x**2 + 2*x + 8. Let c be r(b). Solve -2*p + 0*p = c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68395 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15304 is divided by 5985?\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*v, -4*n = -4*v - 2 - 42. Let u be ((-88)\/90 - n\/27)*5. Put -3, u, 1 in increasing order.\nAnswer: u, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 4*n + 9. Let t = 1\/5 + 22\/15. What is the third biggest value in n, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000000110101000010110 (base 2) in base 10?\nAnswer: 10512918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*t + 6. Suppose -4*l = -2*f - 40, 2*l + 3*f = 3*l - 15. Let i = l - 2. Calculate the smallest common multiple of i and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2960 + -23651\/8. Calculate the common denominator of ((-303)\/9)\/(56\/21) and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 3*p - 5*p)*(-3*p - 2*p + 3*p) - 6*p**2 + 2 + 14884*p - 4 - 14886*p.\nAnswer: -8*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3249 and 238978029.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - i**2. Let k be b(-1). Let t be 65 + 0\/(-3*k). Suppose 2*u = 7*u - t. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 5\/(20\/72). Is 32\/q*-5*13 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(5\/(5\/2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 25 = 5*u. Suppose -36 = u*n - 11. Which is the nearest to 1\/4? (a) -2 (b) n (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 149 + 45. Calculate the common denominator of z\/(-6) + (1 - -2) and (-79)\/6*(0 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/15 + 63118\/95. Let g = 1127 - z. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16182317 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896*g = b + 897*g + 10, 4*b - 5*b + 25 = -2*b - 2*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029771 rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 + 25*b + 9. Let u(d) = -5*d**2 - 13*d - 5. Let f(r) = -4*l(r) - 7*u(r). What are the prime factors of f(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 520755478?\nAnswer: -520755476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -428296 * -0.3\nAnswer: 128488.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5859 = 5*n + 26*n. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1464 + (-10 - -11)*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-16)*q)\/(q\/q**10))\/(q**(1\/12))**(-1\/23) assuming q is positive.\nAnswer: q**(-1103\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 62*b - 60*b = -776, f + b = 390. Calculate the remainder when f is divided by 9*50\/(-15)*-1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + h + 3. Let s be c(0). Suppose 5*b = -3*b + 40. Solve 2 = -s*a + b*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/4)*u*u*u*u**(1\/12) assuming u is positive.\nAnswer: u**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*c**4 - 1904*c**3 - 1112*c**2 - 160*c = 0 for c.\nAnswer: -2\/7, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = m - p - 7, 0 = -2*p + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3 - 12*h + 6*h + 2*h**3 - 2*h**4 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29797 and 19027?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from yyyqqyyyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2401300 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35490)\/(-11440)*22*12\/(-9)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + c - 1. Calculate d(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10898355 to the power of 1\/2, to the nearest integer?\nAnswer: 3301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.484 - -0.867. Let n = m + -0.183. Put n, -6, 1 in decreasing order.\nAnswer: 1, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(((-42)\/111)\/(-7)). Let a = p + 1040. List the prime factors of a.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1189000 and 356700?\nAnswer: 3567000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnia when four letters picked without replacement from idyiidiaydaliiddinni.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738481*m = 738479*m - 86 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 6*l + 8.\nAnswer: -2*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20789964 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 32568\/(-897)) + -50.\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -2477?\nAnswer: -2470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c2a6d (base 14) to base 4.\nAnswer: 110100020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4470 - 3?\nAnswer: 4466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122973 or 245945\/2?\nAnswer: 122973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.125 - 2.875. Which is the second biggest value? (a) s (b) 0.4 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 0.01 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 3. Let v(q) be the first derivative of 3*q**2\/2 + 4*q + 850. Give -8*j(u) + 5*v(u).\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 43, 5 in descending order.\nAnswer: 43, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1 (c) -21020 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 129 * 11.864\nAnswer: 1530.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 38\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4 - 46*q**3 + 186*q**2 + 910*q + 676 = 0.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(20\/(-15)))\/((-3)\/(-5))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*b*y**3 + 2361113*b*y - 38091236*y**3 wrt b?\nAnswer: -10*y**3 + 2361113*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -806 - -810. Which is the third biggest value? (a) -60 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 1446 = -24*g + 1459. Which is smaller: 25\/221 or g?\nAnswer: 25\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42156 - 2*j + 0*j + 84141 - 41985.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13303, -13304, -13305, -13306, -13307, -13308?\nAnswer: -13309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let b be -5*(0 - 1) - (-639)\/(-142). Let o(w) be the second derivative of 7*w - b*w**3 + 0*w**2 + 0. Determine -3*o(r) + 6*y(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -30, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -25.36. Let l = 0.7 - u. What is l rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 61976?\nAnswer: 805688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23766771 - -80716771. Suppose 10*w = -7*w - g. What is w rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4945 + -3305. Is 40 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 800 + -800.5. Let y = -18.7 + 6.7. Which is the second biggest value? (a) g (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 38 = -2*o - 0*o, -3*v = -6. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2845, -5 in decreasing order.\nAnswer: 5, -5, -2845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895507 is divided by 193.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5\/4 + 2007*h**4\/2 + 154731*h**3\/2 - 159741*h**2 - 309459*h\/4 + 317475\/2 = 0.\nAnswer: -75, -1, 1, 2, 1411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 317225245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1274 = 8*u - 6314. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3233 + -0.3083. Let j = -0.075 + 0.06. Let d = q + j. What is the third smallest value in 1, 4, d, 8\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*b**2*d**3*i**2*o + 2*b**2*d**3*i + 13*b**2*d**2*i*o + 18*b*d**3 + 8*b*d*i - b*i**2 - 96*d*i**2*o wrt i?\nAnswer: 96*b**2*d**3*o - 2*b - 192*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.064 and 14.4?\nAnswer: -0.9216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 24\/31, -5, -3, 1\/31, -1?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36ca564 (base 13) to base 7.\nAnswer: -265060612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -15.\nAnswer: -52\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**3\/2 - 23*x**2\/2 + 11*x. Let s be d(-10). Suppose 4*b + v = 29, 4*b = 5*v + 6 - s. Sort 3, 2, b in descending order.\nAnswer: b, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -58245*y - 99. Let d(g) = -3640*g - 6. What is 33*d(v) - 2*q(v)?\nAnswer: -3630*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8556, 16658, 24760, 32862, 40964?\nAnswer: 49066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.096 + -17.596. Let u = 6.96 - -0.04. Let q = c - u. Round q to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/120 + 7*g**5\/60 - g**4\/2 + 28*g**3\/3 - 258*g**2. Let r be s(-9). Factor -6*n**r + 16\/3*n + 8\/3*n**3 - 5\/3 - 1\/3*n**4.\nAnswer: -(n - 5)*(n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/(-2))\/(7 - (-10864)\/(-1547)). Let j = f - 243. What is the second biggest value in 2\/9, j, 4\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**4\/4 + 7*p**2 - 1. Let h(z) = 2*z + 12. Give x(h(l)).\nAnswer: -12*l - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f - 884 = 980 - 771 + 1063 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20045 = 111*f - 11071 - 11083 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1025 = 24*c - 81 - 104 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 23*g - 14 = -5*w, -4*w = -5*g + 11. Factor -4\/5*i + 4\/5*i**g + 2\/5 - 2\/5*i**2.\nAnswer: 2*(i - 1)*(i + 1)*(2*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366941?\nAnswer: 366941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*f**3 + 253*f - 129*f - 14*f**2 + 43*f**3 - 124*f as v*f + z*f**3 + g + t*f**2 and give z.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let s = -28 - -36. Let r(m) = -6*m + 8*m + 0*m - s*m. Determine r(f(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128724, -148, -2 in descending order.\nAnswer: -2, -148, -128724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-119)*(-4)\/(-6). Let -l*v**3 + 4\/17*v**4 + 4\/17 + 2\/17*v - 8\/17*v**2 + 2\/17*v**5 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u. Let v(w) = -589*w - 140. Calculate j(v(o)).\nAnswer: 1767*o + 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: c6 (base 13) to base 3\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675 + -675 + (1 - 0) + -6 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14962427 + 14962427.8700063. Let a = j - 0.87. Round a to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2727 or 89?\nAnswer: 2727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h**2 + 9. Let l(t) = 23*t**2 - 7*t. Let b(a) = -10*a**2 + 3*a. Let s(c) = 14*b(c) + 6*l(c). What is d(s(j))?\nAnswer: 40*j**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 316411486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/8)\/(-2*(-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2558 + 44*j + 26*j + 2578. Let f be v(6). What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16052777*n**5 - 33352*n - 195.\nAnswer: -321055540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3415 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222614 by -222614.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -469, -2, 4, -745.\nAnswer: -745, -469, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*a + 85*a - 300 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.521 + -0.569. Let w = 204.348098 + -204.3. Let o = d + w. Round o to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2548 (base 12) in base 13?\nAnswer: -1c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-42) - 2\/7. What is the remainder when 22 is divided by (-246)\/(-30) + a\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6007 + 153 = 5*j. Let v = j + -6119\/5. Find the common denominator of 22\/7 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13*5 + -142 + 139. What is the highest common factor of 3317 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 620 and (-1224)\/(-8) + -1 + 9\/3.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/137 or 1?\nAnswer: 18\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2135 - 1736. Calculate the highest common divisor of s and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*((l + 0*l - 2*l)*(5*l - 2*l - 2*l) - 7*l**2 + 4*l**2 - 3*l**2)*(l**3 + 0*l**3 + 0*l**3).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**2 + x + 7. Let b(o) = -3*o**2 - o - 3. Let p(j) = 9*b(j) + 4*t(j). Determine p(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 700989 (base 13) to base 3\nAnswer: 11220010110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 3*c**2 - 4*c + 3. Let r be w(-4). Let j(k) = k - 4. Let t be j(6). What is the third derivative of 0*u**2 - t*u**4 - 5*u**2 + r*u**2 wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 19 + 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0 + 9*b**2 - 2*b**3 + 0*b**5 - 3\/40*b**6 + 0*b + 0*b**4. Differentiate m(j) wrt j.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154816 divided by -1?\nAnswer: 154816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, -0.44 in decreasing order.\nAnswer: 0.5, -0.3, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2609285.\nAnswer: 5, 7, 74551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 21 = 3*u, -3*x - u = -12 - 9. Let z = x + -2. Suppose 4*r - z*l - 300 = 0, 4*l + 87 = r + 1. What is the greatest common divisor of r and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60200 - 60200 + 250*i)*(-3*i**3 + 0*i**2 + 0*i**2) + (-2*i + 5*i - 4*i)*(-3*i**3 + i**3 + i**3) to l + d*i**4 + p*i**2 + t*i**3 + f*i and give d.\nAnswer: -749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -22. Suppose 0 = 4*k - 2*y + 2, 4*k + y + 1 = j. Suppose 4*x - 76 = -k*u + 4*u, 2*u - 50 = -3*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*w**2 - 34\/3*w + 289.\nAnswer: -(w - 17)*(w + 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1447*r**3 + 439 wrt r?\nAnswer: 4341*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5.5. Suppose 4*x - 3*o = -11, -9 = -4*x - 0*x - o. Which is the third smallest value? (a) x (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 15 + 49 = 3*c, c - 10 = 2*o. Let k = c - 14. Solve t + w + 0*w = -k, 3*t - 2*w = 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42587603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:45 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/(10\/(400\/24)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1 + (2 - 1)). Suppose x*j = 3*j. Suppose 5*u - 12 - 3 = 0. Solve j = u*b - k + 3, k - 3 = 3*b + 6*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 14614, 5, -3 in increasing order.\nAnswer: -3, 5, 30, 14614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 13}. Give prob of sequence zb.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 1. Let s(p) = -3*p - 4. What is -2*f(z) + s(z)?\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54\/221 + -2789\/5083. Find the common denominator of a and 80\/9 + -3 + 2.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 297*v - 230287 + 235930 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*m**3 + 2*m**2 - 126*m**3 - 2*m**2.\nAnswer: -343*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Let f(o) = -2*o - 1953*o**2 + 1952*o**2 + o**3 + o. Calculate f(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - c - 2 = 6, -4*k + 52181*c = 52163*c + 56 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145588.\nAnswer: 2, 17, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -5257.95?\nAnswer: 5259.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (80\/(-64))\/(1*(-3)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62 from -5.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -638 (base 12) to base 5.\nAnswer: -12113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 7:45 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009909 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62.3 + -60.3. Is -0.36 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 826960 by -41348.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-3)\/(-10)))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -54a40?\nAnswer: -54a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 259\/(-198)*10379\/5865. Let t = 2\/64515 + x. Let n = 1\/54 - t. Put n, 4, 2 in decreasing order.\nAnswer: 4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 - 2*w**3 + 0*w**3)*(-12903 - 314*w + 12903).\nAnswer: 2198*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/13))**26*(z\/z**(-10\/7))\/z*z**(2\/13) assuming z is positive.\nAnswer: z**(2146\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j + 5. Suppose -r + 2*r = -6*r. Let l be n(r). Suppose 3*k + l*d = 484, -7 = 4*d - 15. List the prime factors of k.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 + -262. Let h(x) = -2*x + 27. Let w be h(y). Solve 0 = 3*t - 0*n + n + 4, 0 = 4*t + 5*n - w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5\/7 + 3384*o**4\/7 + 1938*o**3 + 20364*o**2\/7 + 13581*o\/7 + 3396\/7.\nAnswer: -3*(o - 1132)*(o + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -194940 times 486\nAnswer: -94740840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007359933 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (3 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115.338 * 4.\nAnswer: 461.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 15, 9, -1, 3, -3 in decreasing order.\nAnswer: 15, 9, 6, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441 or 445?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3)**(2\/33))**(-2\/41)\/((a*a\/(a**(-3)*a)*(a**7*a)\/a)\/(a\/(((a*a**(-2)*a*a)\/a)\/a*a))**7) assuming a is positive.\nAnswer: a**(-1808\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(sqrt(19) + -2) - (2 + sqrt(931))**2)*-6.\nAnswer: 138*sqrt(19) + 5673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - ((18 - (-6 + 22)) + (0 - 3))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 + b**5 - 2*b**5 + (-3*b + 4*b - 2*b)*(4*b**4 + 7*b**2 - 7*b**2).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z + 43. Let o be q(-8). Suppose o*b - 4*b = -6. Suppose 0 = 4*c - 2*y - 94, 0*y = -3*y - 3. Calculate the remainder when c is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-5763\nAnswer: -1152.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/160 and -28\/15.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 8*i**2 - 8*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-1 - -9 - 2). Suppose -10 + 131 = 11*s. Suppose -j + s = 2*j + 5*q, 3*j = -3*q + 9. Solve 0 = z, -b*z = j*c - 5 - 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 18. Let t be w(12). Suppose 3*p = p + t. Solve -3*o + 6 = 3*r, -p*o + 3*r - 15 = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-25)\/(-8)))\/((7439\/1290)\/173).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r. Let f(z) = z**3 - z**2 + 5*z. Suppose -4*g - 2 = -6*g. Let i(c) = g*f(c) + 4*s(c). Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-22))\/(l\/(l*l*l**(-30))))**49)**(2\/5) assuming l is positive.\nAnswer: l**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -6*((-6)\/10)\/(-3)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/3 + z**3\/3 + 5*z**2\/2 - 5*z. Let a(s) = 5*s**2 + 2*s + 6. Calculate 5*a(h) - 6*v(h).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161.6 + 161.7. Which is the fifth smallest value? (a) -4 (b) r (c) -5\/4 (d) -54 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 - 26*n**3 - 253 + 4*n**2 - 41*n**3 - 4*n**2 + n**2.\nAnswer: -67*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-4) + 1\/(-4). Let m(f) = f - f**2 - 2*f - 6 - f**3 + 4*f. Let y(z) = -z + 1. Let a(w) = t*y(w) + m(w). Calculate a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 619\/11? (a) -2\/5 (b) 0 (c) 0.593\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(65)\/sqrt(5) + -3)**2.\nAnswer: -10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 3:11 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 124633063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/30)\/((-4)\/(-10)). Suppose -g*f - 28 = 4*u, 5*u + 23 = -2*f + f. Is 12*(-2 + (-10)\/f) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*h - 721 = -0*h, -5*u - 5*h = -715. Let g = 219 - u. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/103 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1963264 to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 108a961 + -5?\nAnswer: 108a957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 2*q - 3)*((4*q - 2*q + 0*q)*(3 - 1 - 1) + 5 - 3*q - 5).\nAnswer: -2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 3059?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(456\/453 + -1 + 0). Let v = n - -156. Let x = -15 + 19. Solve 3*g = 5*a + x, -a - 13 = a - v*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 973 - 399 = 0. Calculate the highest common divisor of x and 5292.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 226\/5. Let j(g) be the second derivative of -2*g + 0 + h*g**2 + 1\/60*g**4 + 1\/10*g**3. Factor j(y).\nAnswer: (y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -1)*(-40)\/(-6). Let q = -18 - -27. Suppose -14 - 256 = -q*l. What is the highest common divisor of l and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 6*d + 23*d - 220 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:42 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14*((-235)\/66 + (-130)\/(-2145)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2121588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 2331023103?\nAnswer: 2331023112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a week in minutes?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113 and 442621.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60120 by -5010.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 2*y - 16, -16 = -4*y. Suppose -3*n - 2*w = -8, -2*w = k*w - 5. Suppose -2*c - n = -8. Solve -7*v + 16 = -c*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (2 + -3) - -8. Solve -i + w*i - 3*x - 21 = 0, -4*x - 8 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 3*o**2 + 2*o**2)*(1711*o - 1170*o - 5 - 1405*o - 394*o - 1) to r*o**2 + u*o**3 + w + q*o and give u.\nAnswer: -1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2 - 12*s - 4 to the form w*s + j and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - 77300\/(-60) - 1. Suppose -119*v = -127*v + q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 4, 2.1, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, 2, -1, 3, 43, -1075 in increasing order.\nAnswer: -1075, -1, 0, 2, 3, 22, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -5 - -2 - -2. Let a be (5 + -4 - 1) + m. Solve a*r = -1 - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -387 - -165. Let w = 253 + j. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(117) + sqrt(117))*-2)\/(sqrt(9) - -6*sqrt(18)\/sqrt(2)).\nAnswer: 4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10346659*r**2 + 2*r + 19879219 with respect to r.\nAnswer: 20693318*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 - 6*p + 2. Let u be (-9)\/6 + 63\/18. What is the least common multiple of g(u) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64604655 by 7178295.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 5)*0\/1. Suppose 3*y + 33 - 114 = m. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 112\/616 + 510\/(-22). Is g at most -414\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 21*t - 975. Let r = t - 168. List the prime factors of r.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 28289689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*(117\/(-18))\/(-13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -23*g**2 - 5*g + 3. Let f(k) = 5 + 2*k - 11*k - 35*k**2 + k. Let a(h) = 5*f(h) - 8*x(h). Find the first derivative of a(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -384, -390, -398, -408?\n\"Answer: -w**2 - 3*w - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a + 14. Suppose -4*j = j. List the prime factors of h(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 7*d**2. Let a be m(7). Suppose a = -3*u + 6. Let b = 2 + -2. Put -4, b, u in decreasing order.\nAnswer: u, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69551.1 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.0197, -35, -0.05, -1?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 565*o**3 + 131*o**2.\nAnswer: 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5)*x)**16\/(((x*x**8)\/x)\/x**(1\/10)))**(-15) assuming x is positive.\nAnswer: x**(-435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-4))**11*(l\/(l\/(l\/(l*l**4))))\/l*l*(l**(-7)*l)\/l)**33)**(-2\/3) assuming l is positive.\nAnswer: l**1210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 - 91. Let v(z) = 165*z - l*z - 87*z. Let c(s) = 42*s**2. Determine c(v(g)).\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*h - 71 = 189*h + 4*c, -12*h + 4*c = -20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/7*(-7)\/(-4))\/(30\/(-200))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93152 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3\/21 - 4*l**2\/3 - 8662*l\/21 + 34840\/7 = 0.\nAnswer: -65, 12, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 27 = -5*r + r, 3*r + 5*u + 16 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 + 578*l + 553. What is the hundreds digit of o(104)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 673, 1, -4, 5 in decreasing order.\nAnswer: 673, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 32632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 4584*x + 4580*x + 21, 2*n - 11 = x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -402 - -2820\/7. Put 2\/13, v, 1, 1\/2 in ascending order.\nAnswer: 2\/13, 1\/2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100011010001 (base 2) to base 4\nAnswer: 3203101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d**3 + 3*d - 3*d - d**3.\nAnswer: 29*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y = -83 + 49. Let w(p) = 23*p**3 - 2*p - 1. Determine w(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 66*b - 13. Is s(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(5) + 0)**2.\nAnswer: 4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, z: 4, b: 3}. Give prob of sequence hbz.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8646*d - 9435 = -8901*d for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -352934*h**4 - 71*h**2 - 2330?\nAnswer: -8470416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 747\/5 - 148. Are d and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((16\/144)\/(8\/(-6)))\/(40\/(-18)). Let u(q) be the third derivative of q**2 + 7\/40*q**5 + 1\/3*q**4 + 0 + c*q**6 + 1\/3*q**3 + 18*q. Factor u(a).\nAnswer: (a + 1)*(3*a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z - 1. Let k(y) be the first derivative of -y**3\/3 + 5*y**2\/2 + 6*y + 9. Let t(p) = 5*g(p) + k(p). Let q(j) = 2*j**2. Give 7*q(f) - 4*t(f).\nAnswer: -2*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319146 and 5138498.\nAnswer: 2474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + r + (-6*r - 10*r + 2*r)*(-4 + 6 - 10)*(0 - 1 + 3).\nAnswer: 225*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2549375 rounded to 3 decimal places?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*k + 10 - 64*k - 4 - 2 + 4*k**2 as j + n*k**2 + m*k and give m.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a**(-1\/6)\/a))*a\/(a*((a*a**4*a*a)\/a)\/a)*a*a)**(-41\/2)\/(a**1\/a**(2\/3))**(-2\/99) assuming a is positive.\nAnswer: a**(125837\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-86)\/301)\/((-1)\/(-14)) - 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 7 - t + t. Let o be 4\/(-8) - -3*(-3)\/2. Let p(r) = 0*r + 6 - 3*r + r. Determine o*p(b) + 4*n(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + 2*sqrt(190)*-1)\/(3*sqrt(40)))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6*1 + 976\/48. Let h be 318\/15 - (64\/g - 3). Calculate the greatest common divisor of 14 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(2475\/198 + 8\/(-1) - (-8)\/16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 5*l**2 - 6*l. Let u be m(6). Suppose -5*p + 542 = -u*p - 2*f, 2*p - 218 = 2*f. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 29. Let o(s) = -568*s + 113. What is -4*a(p) - o(p)?\nAnswer: 572*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 60.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-27)\/(-9)) - (-6)\/12*182. Suppose 0 = 5*k - 4*k - 54. What is the greatest common factor of k and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by -74.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i + 200. Let z be t(20). Suppose 2*m - h - 94 = z, 0*h = -5*m + 4*h + 235. Calculate the remainder when m is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32422, -64604, -96786, -128968, -161150, -193332?\n\"Answer: -32182*h - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/100 - 17*k**4\/120 - k**3\/3 - 2*k**2 - 13. Solve q(n) = 0 for n.\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 6*v + 4. Let z(c) be the first derivative of c**4\/4 + 4*c**3\/3 - c**2 - 6*c + 2. What is the remainder when t(6) is divided by z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*q = -2*f - 5, -5*f + 5*q = -50. Suppose -f*v = -3*l + 87, -l + 2*l + 2*v - 29 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -56*g + 7\/6*g**3 + 0*g**2 + 0. Let w(m) = 28*m. Calculate v(w(o)).\nAnswer: 196*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6222949?\nAnswer: 23, 270563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4103 + -4095. Let m(h) = 7*h + 7. Give m(f).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28768.9999870409 - 28769. Round j to seven decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4320313 (base 5) to base 14\nAnswer: 1c972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19765551 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 114387552385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52484, -52483, -52482, -52481, -52480, -52479?\n\"Answer: c - 52485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1406730 and -7\/3660?\nAnswer: 171621060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9455 - 0.94. Round o to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.58.\nAnswer: 0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -14*q - 45. What is c(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*18.3485.\nAnswer: -5.50455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -2. Let q = p + 0. What is the third smallest value in -0.5, q, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 9 + 3. Solve v = -4*z - 1, 1 = z - b*z - v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d - 493. Let p(b) = -6*b + 495. Determine 5*p(t) + 4*w(t).\nAnswer: -2*t + 503","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 418270*d**6 - d**4 + 88*d**2 + 7891 wrt d.\nAnswer: 50192400*d**3 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -166, -191, -234, -301?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243\/8 + -23\/2. Let a = 7383\/392 - h. Let l = 56809 + -56808.5. What is the second biggest value in a, -0.2, l, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 111 - 43)*(4027 - 4027 - 2*x).\nAnswer: -270*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.568 - -28675.\nAnswer: 28670.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*t**6 - 4*t**4 - 7*t**3 + 152*t**2 - 22.\nAnswer: -1080*t**3 - 96*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/47 at least 9\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from refxcreu. Give prob of picking 1 r and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 2*m - 5. Let u be w(-4). Let f = 2 + -1. Let k(d) = u - f - 1 + d. Calculate k(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.97 - -14.97. What is the second smallest value in f, 4, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/833, 1\/3, -5\/58, -5\/2?\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -28*u**3 - 2*u**2 - 2*u - 3. What are the prime factors of s(-2)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1374583 and 786?\nAnswer: 8247498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 5:36 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 6. Let n be g(2). Let h = n + 2. Let a(p) = p**2 + 3*p + 2. Let r be a(h). Are r and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let u(x) = -5*x**2 + 6. What is y(u(c))?\nAnswer: 50*c**4 - 120*c**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5400 - -5399. Let w = 12 + -3. Let l = w + 5. Which is greater: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14693619 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116915096.\nAnswer: 2, 14614387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-104)*(3 - 46\/10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*i**5*u + i**4*u**2 + 2*i**3 - 2*i**2 + 2*i + 43*u**2 wrt i?\nAnswer: -1200*i**2*u + 24*i*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819807 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 43 = -f, -3*f + 5*w = -0*f - 89. Suppose -3*i = -f - 375. Find the third derivative of -7*j**4 - 117*j**2 + i*j**2 - 16*j**4 wrt j.\nAnswer: -552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*v + 6 = -j, -2*j + 4*v + 30 = 0. Let g be (-4)\/6*j\/(-6). Sort 3, -1, g in ascending order.\nAnswer: -1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 209 - 45. Suppose i = 4*j + 1 - 27, -5*j + 25 = -5*i. What is the remainder when y\/8 - (-1)\/(-2) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 7*n + 84. Let v be (n - -11) + -3 + 0. Let b(x) = -x + 1. Calculate the smallest common multiple of b(v) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*b + 15, k - 5*b + 18 = -k. What is the first derivative of -4 - 5 - 23*a**3 + k wrt a?\nAnswer: -69*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/((-7)\/(-14)). Let a = d - -6. Solve j - 20 = -a*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + h + h + (-1 + 2 - 3)*(0*h + 4*h - 6*h) + 6*h + 31 - 31.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8786000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 27*k + 156.\nAnswer: -3*(k - 4)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1603074102 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8536 and 3084.7.\nAnswer: 26330999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1922, 1913, 1890, 1847, 1778, 1677, 1538?\nAnswer: 1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y - 10*y + 3*y)*(-5*y**2 + 2*y**2 + y**2).\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -15*n**8\/56 - 139*n**7\/210 - n**6\/20 + 3*n**5\/4 + n**4\/12 - 7076*n**2. Solve x(g) = 0.\nAnswer: -1, -2\/45, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5 - 80*p**3 + 190*p**2 - 165*p + 50 = 0. Calculate p.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/15)\/(u**(-1\/11)\/u)*((u\/(u\/(u*u**2)))\/u)**(-35))**(-35) assuming u is positive.\nAnswer: u**(79744\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45*(107\/(-642))\/((-4)\/(-8)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -145 - -146. Which is smaller: r or 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*w - 19566 - 20775 = 14595 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1656.5 + -1181. Let f = y + -476. Put f, -10, -5 in ascending order.\nAnswer: -10, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3335113 by -3.\nAnswer: 3335113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256244690.\nAnswer: 2, 5, 13, 337, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19832, 20063, 20250, 20393, 20492, 20547?\nAnswer: 20558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2 - 189900*h + 189901 = 0. Calculate h.\nAnswer: -189901, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crbmcyc. Give prob of sequence cy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/((-64)\/40)*(-21)\/2646*8\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3008306*x**2 - x - 115810 wrt x.\nAnswer: -6016612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -1.4765.\nAnswer: -1.9765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 13390427?\nAnswer: -4\/13390427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, r: 8, u: 1, s: 9}. Give prob of sequence uses.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150923*b**3 - 151033*b**3 + 301890*b**3.\nAnswer: -66*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 8*n**2 - 8*n + 8. Let u(o) = o**3 - 3*o**2 - 3*o + 3. Suppose -3*p - 35 = -4*j, -3*j + j - 2*p + 14 = 0. What is j*u(v) - 3*r(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 2\/9 (c) -0.4 (d) 0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1)\/(-1*2). What are the prime factors of (a - 9)\/((-3)\/4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*z + 44, 5*y - 2*z = -17 + 67. Let o = 12 - y. What is the smallest common multiple of ((-2)\/5)\/(2\/(-20)) and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21302*j**3 + 201*j**2 + 66.\nAnswer: -127812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -819.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -205, -193, -167, -121, -49?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p\/p**(2\/9))\/p*(p*p**(-1\/5))\/p*p)**(-1\/3)*(p*p**(-2\/13)\/p*(p*p*p**1)\/p)\/(p*p*p**(3\/2)*p**(-6)) assuming p is positive.\nAnswer: p**(11069\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*y**4 + 11*y**4 - 66 + 94*y**4 - 26 wrt y.\nAnswer: 452*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 3*v**2 + 18 - 22*v + 10*v**2.\nAnswer: 10*v**2 - 22*v + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33997, -136022, -306063, -544120?\nAnswer: -850193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*s = 745*s + 19514 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.00404\nAnswer: -0.01616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (88 + 1)*-3*-1. Let j be (-2236)\/18 + (-18)\/(-81). Let q = n + j. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = -1. Let t(n) = -n**3 + 5*n**2 + 8*n - 1. Let f be t(a). What is the highest common divisor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/9 of a hour in seconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (10 + -5) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 4*l + 3*z, -1963*l + 5*z - 72 = -1964*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8501 - -12097. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 6*o**2 - 2. Let f(p) = -p**2 - 8*p - 6. Let x be f(-6). Let v(z) = 2*z**3 + 7*z**2 - 2. What is x*y(a) - 5*v(a)?\nAnswer: 2*a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 76*g**3 - 3*g**2 + 3*g - 3. Let a(j) = 151*j**3 - 5*j**2 + 5*j - 5. Give 3*a(y) - 5*m(y).\nAnswer: 73*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-17)*y*(y**(1\/8)\/y)\/y)**(1\/3))**11 assuming y is positive.\nAnswer: y**(-495\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4\/6 + n**3 - 4*n**2 + n. Let g be h(8). Suppose -2*y - g = -5*y. Calculate the highest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-15)\/(-1260)*-5*64\/24.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = -2*i + 3*p, 5*i - 30 = p. Suppose 3*t - 12 = -s + 14, 0 = -2*s + 4*t + 12. What is the remainder when s is divided by (6\/(-4))\/(i\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 1, j: 2, s: 1, y: 2, d: 1}. Give prob of sequence jj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387140006.\nAnswer: 2, 11, 17597273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2 + 321*g + 566 with respect to g.\nAnswer: 4*g + 321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 36 = 4*j. Suppose 0 = 2*p + 3*p - 15. Suppose p*m - j = 28. Solve 2*c = -2*o - 3*c + 12, -4*o - m = c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 9, 54, 7, -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112414997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3281405 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2 + 1059510*t - 1059505 = 0?\nAnswer: 1, 211901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 + -143. Suppose -b*i - 6*z + 730 = -8*z, -964 = -4*i + 5*z. What is the least common multiple of 20 and i?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 48*d**3 + 156*d**2 - 144*d.\nAnswer: 3*d*(d - 12)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112, -109, -90, -49, 20, 123, 266?\n\"Answer: o**3 + 2*o**2 - 10*o - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19610.56ml to litres.\nAnswer: 19.61056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7572 - -32017. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:41 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 165 + 93 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*(-4)\/(-36)*-3 + 24. Let b be -4*(-4 + h\/6) - -159. Suppose -2*d = -d - b. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3466*l**2 + 2804*l wrt l.\nAnswer: -6932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3096 and 137\/720.\nAnswer: 30960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11656 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36862223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(0 + 0 + 2*t) - 13*t - 7*t + 19*t + (-3*t - 4*t + 4*t)*(-5 + 1 + 3) in the form g + a*t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:56 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 14. Is 17 a factor of (-1*34)\/(s\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(7))**2 + 1 + (sqrt(7) - (sqrt(7) + 0 + 2)**2) + (-2*(sqrt(7) + -3) + -3)**2.\nAnswer: -15*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 922.07 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 6022661926.\nAnswer: 6022661925.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 764.8601 centuries in years?\nAnswer: 76486.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356804625 and 750?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256525156 a multiple of 2242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (160\/(-25))\/((-3)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/(t*t\/(t*(t*t*t**(-19)*t)\/t)))\/(t**(-2\/39)\/t**(-1\/14)) assuming t is positive.\nAnswer: t**(-15299\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 - 4*w - 4. Let z be 0\/1 - 3\/1. Is 15 a factor of o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -238*s + 234*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 127442, 254878, 382308, 509732?\n\"Answer: -3*i**2 + 127445*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a + 7. Is 0\/(2 + a) + 77 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*i - 1. Let b(q) = -13*q - 2. Let p be b(i). Let z(g) = -g + 2. Let o be z(-6). Calculate the greatest common divisor of o and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -231*f + 1753. What is v(8)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5399*q + 1227. What is the hundreds digit of f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 138931 - -5?\nAnswer: 138936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 693 and -28488.\nAnswer: -19742184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8\/52 - -1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -1\/15*w**6 + 11\/10*w**5 - 10*w - 32*w**2 + 1 + 64\/3*w**3 - 7*w**4. Factor k(x).\nAnswer: -2*(x - 4)**2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + n = 0, 2*i + 2*n - 20 = 0. Let l(g) = -6 + 1 + 3*g - 1. List the prime factors of l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11065 - -17142. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/4)\/((-156)\/1664). Solve 3*a + 9 = 3*j, -q*j - 5*a - 5 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.77 or 1?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 476.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - h - 5 = 0, 3*h = 20 - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -87 + (8 - -1)*5\/15. Let n = f + 104. Suppose -v = -n + 24. Is -8 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 52. Let h = -29\/10 - j. Is -1 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 + 0)*(4 + 1 - 3) - 3 + 3 + 1)*(f + 0*f + 2*f)*(37 + 57 - 57) to a*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3067*h - 2913*h + 1119 = -1953 - 2626 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {d: 1, g: 1, m: 1, w: 3, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 2*u**3 + 5*u**3 + (-u + 2*u + 2*u)*(u**2 - u**2 + 4*u**2) as j*u + r + n*u**2 + s*u**3 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(1332\/37))\/7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77004)\/(-10695)*(69\/6 - 4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:09 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**2 + 13*n + 428. Determine z(-14).\nAnswer: -1322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-14) + (-3 + 2 - -2). Put 17, q, 2 in decreasing order.\nAnswer: 17, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k + 71. Let g be y(-5). Suppose 58009 = g*s - 119*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1206*t**2 - 2370*t**2 + 1162*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46656 (base 8) to base 4.\nAnswer: -10312232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1079845*u**2 + 1079845*u**2 + 97986*u**3.\nAnswer: 97986*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 1169*g**5\/10 - 417*g**4\/2 + 503*g + 1. What is the third derivative of j(b) wrt b?\nAnswer: 14028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 20480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (4 - 10) - (13 - 17).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5\/2 - 3095*v**4 + 113595*v**3\/2 + 348770*v**2 + 288880*v = 0.\nAnswer: -1256, -4, -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 6*s**3 + 9*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 12:29 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362334482 to the power of 1\/2, to the nearest integer?\nAnswer: 36910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2934+2.03812\nAnswer: 2.33152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2564 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -281231 (base 9) to base 4\nAnswer: -221313301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-4)\/(-6))\/(4\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/3 + 65\/6. Let u = 13245845\/88 - 150516. Let p = u - 56\/11. Find the common denominator of j and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44872 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzv when three letters picked without replacement from yvyzyvzrrzzzvzyvzy?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*8\/6 + (931 - 849). Calculate the highest common divisor of d and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6146912 divided by 4\nAnswer: -1536728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - (-12 + 6) - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 811, 774, 713, 628, 519?\n\"Answer: -12*j**2 - j + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-1) + (-3 - -3). Is (2\/(-4))\/((-1)\/b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21131224 (base 6) in base 13?\nAnswer: 188698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 36*p = -36, 2*p = 7*f - 9*f - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22256320 - -1967.34.\nAnswer: -22254352.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3 = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 16 = -2*u - 4*i, 4*u + 4*i = 16. Which is bigger: u or -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -4\/5*b**3 + 6\/25*b**5 + 6\/5*b + 46 + 1\/5*b**2 - 1\/5*b**4 + 1\/15*b**6. Suppose m(o) = 0. Calculate o.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 11046 + 9830 = 0 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106748 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20938 by 29.\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -1, -0.2.\nAnswer: -8, -3, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11958250 or -83707748\/7?\nAnswer: -11958250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**6\/90 - v**5\/4 - 7*v**4\/4 - 85*v**3\/18 - 6*v**2 - 2826*v. What is i in a(i) = 0?\nAnswer: -9, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*l**4 - 76*l**2 + 35*l**2 + 41*l**2 - 254 with respect to l.\nAnswer: -256*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(380) + -2*sqrt(380) + sqrt(380))\/sqrt(10))\/((sqrt(8) - sqrt(2))*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 3. Let m be g(5). Suppose -2*t = -0*t - m. Suppose -3*y + 3 = 2*c, -4*c + 4*y - t = 3*y. Solve 3*x = 2*a - 1 - 12, -4*a + 5*x + 23 = c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 19 - 28 = -2*k, 2*s - 8 = -k. Which is the closest to -146? (a) 0 (b) -1 (c) 5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196*u**5 + 5948*u**4 - 56*u**3 - 512062199*u**2 wrt u?\nAnswer: -11760*u**2 + 142752*u - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:00 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7341445 rounded to three dps?\nAnswer: 0.734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/(7\/315). Suppose 0 = -4*c + d + 1. Suppose -c*v - 26 = -122. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 11 + 0*p**2 - 1\/5*p**5 - 1\/9*p**3 + 1\/18*p**6 + 1\/4*p**4 + 0*p. What is b in g(b) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*g + h, -2*h + 14 = -3*g - 4*h. Let v be -2*5 + (-1173)\/(-115). Sort 0, -20, v, g in ascending order.\nAnswer: -20, g, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24547224 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12460289?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470 >= 3465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, j: 2, r: 3, w: 4}. Give prob of picking 1 d, 1 w, and 1 j.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 greater than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:04 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286732 divided by -4.\nAnswer: -71683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -351240352 + 3?\nAnswer: -351240347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 225 - 211. Let y(i) = 16*i**2 - 3*i - 3. Give y(t).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24542 - 24487. Solve b*h = 70*h + 75 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(190))\/sqrt(10) + sqrt(19) + sqrt(95)\/sqrt(5) + 4)**2.\nAnswer: 32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, j: 1, p: 2, i: 5, f: 4, w: 5}. Give prob of picking 1 g and 1 p.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q + 16*q + 2054. Which is the closest to 2\/5? (a) q (b) -4 (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r**3 + 3*r**2 + 20*r - 42. Determine w(2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -5, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*5\/((-50)\/(-5)). Let u(c) = 11*c. Let h be u(v). Let o be (h - -17) + (1 - -1). Solve -3*a - a = -o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9728, 9927, 10126, 10325, 10524, 10723?\n\"Answer: 199*t + 9529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20894023 is divided by 4570.\nAnswer: 4553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 26*g + 10. Suppose g*x = 5*x + 40. Suppose w - x + 5 = 0. Solve -4 + 1 = w*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5838563 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5.4. Suppose -25 = -9*n + 4*n. Put n, v, 1 in increasing order.\nAnswer: v, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15634366, -15634376, -15634388, -15634402?\n\"Answer: -y**2 - 7*y - 15634358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(6\/(-1))*(-2040)\/136. Put 1\/9, -0.6, d in decreasing order.\nAnswer: 1\/9, -0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 916972 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2704 divided by 2.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**2 + u. Let i be s(1). Which is the third biggest value? (a) -3 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02538*-8.1.\nAnswer: -0.205578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 1. Let t(s) = 11*s**3 - 5*s + 9. Let w(n) = -18*k(n) - 2*t(n). Let q(x) be the second derivative of w(x). Let z(j) = 2*j. Give z(q(h)).\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 0.1 (b) -0.19 (c) -43\/6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -666357.\nAnswer: 133271.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 - -198. Let c = -1489 + 59557\/40. Sort r, 0, c, -5 in ascending order.\nAnswer: -5, c, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 13*l - 14. Suppose 5*n - 33 = -l*n. Solve 0 = -n*g + 7*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90598938 by 6.\nAnswer: -15099823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 2*s**2 + 33 - 31 - 3*s - 2*s in the form y + x*s**3 + m*s + k*s**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/521, 1\/7, 3\/8, -2\/23, 80 in decreasing order.\nAnswer: 80, 8, 3\/8, 1\/7, 2\/521, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*l = -3600. Let r = l + -13215\/22. Calculate the common denominator of r and 5\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503 (base 16) to base 15.\nAnswer: 5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p)\/p)**(-5\/8)\/(p\/((p\/(p\/p**(-2\/55))*p)\/p*p*p)*p\/p**(-19)) assuming p is positive.\nAnswer: p**(-8101\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 911325.03 hours in weeks?\nAnswer: 5424.55375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3869478 is divided by 644910.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*y - 7*y - 26, -18 = -p - 3*y. Suppose 0 = 5*f + r - 0*r - 179, 3*r = -5*f + 177. Calculate the highest common divisor of f and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2736126 is divided by 183.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 174044134.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-10))\/(144\/(-180)))\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 21*i = 17*i + 25262, -4*h + 50559 = i. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2265 take away -939.9?\nAnswer: -1325.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220490281, -220490280, -220490279, -220490278?\nAnswer: -220490277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -56*t**2 + 24*t. Let q(n) = 11*n**2 - 5*n. Let w(s) = 5*d(s) + 24*q(s). Let r(h) = 4*h**2. Give w(r(v)).\nAnswer: -256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/16 and 59\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29223\/11 - 2659. Find the common denominator of w and 64\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(sqrt(245) + (-1*sqrt(245) + sqrt(245))*-3)*3*-1*-1)**2*1.\nAnswer: 756*sqrt(5) + 79389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2197848866 plus -0.009?\nAnswer: -2197848866.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*d - 946380 = 0, -36 + 36 = -4*d. What is m rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -189, 4, 6\/7, 0.09, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(46 - 7371\/156)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111111010101000111011 (base 2) to base 14.\nAnswer: 117b0dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 156 = 7*n. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rff when three letters picked without replacement from rfffrrryrfrfrryyf.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-169.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56420 and 15190?\nAnswer: 394940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) + 32\/(-66). Let p = -1.89 - -1.49. What is the third smallest value in 4, x, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1856)\/928*(-2)\/4*9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66436607779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4431841 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*d = 4*d - 71, -61 = -4*a - 3*d. Suppose -1 = 6*j - a. Let u = 0.2 + -0.1. What is the closest to -1\/2 in 0, j, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/12 + 4*f**3\/3 - 7*f**2. Find the first derivative of v(h) wrt h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2431 + -104539\/43. Let i = -20\/473 + s. Which is the third smallest value? (a) i (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1132 - -1242. Let p be 2 + (-2 - (3 + 103)). Let z = p + r. Solve -1 = -z*y + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/20 - o**4\/2 - o**3\/3 - 109*o**2 + 3*o. What is z(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-168)\/270 - ((-12)\/(-27))\/(-2). What is the closest to 1\/5 in 13, 2, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 28*d + 97 - 194.\nAnswer: 22*d - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from heewiyf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 13 = 2*m, -74*w - 6*m = -78*w - m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502334491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/2 - (-5 - -3). Suppose -w*u + 18*u = 14. Determine v so that 9\/4*v - 3\/4*v**u + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9972.2 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880162000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (21*3)\/((-31)\/(4123\/(-57))) is divided by 59.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2042079113 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 7*y + 5. Give v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:09 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 + 2*w. Let u be t(2). Suppose 2*l - l - 6 = u. Is (51\/l)\/(2\/8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 12*s - 56. Let m be x(-6). Do m and -37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(1\/22))**(-6\/19) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/(-2)*-2. Suppose -5*j + 0*j + 5 = 0. Let x = -90 - -539\/6. What is the closest to j in x, q, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 0, 4*i + 26*r - 3924 = 28*r. Does 29 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-28))\/((-45)\/144).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -117506150 divided by 10\nAnswer: -11750615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + d**2 + 3*d**2)*((-2 + 0 + 4)*(10 + 49 + 51) + (1 + 3 - 3)*(2 + 3 - 4)*(0 - 1 + 2)).\nAnswer: -221*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -100\/4479 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 37. Suppose 0 = -3*c + 3*u + 12 + 9, -3*u - 6 = 0. Let v be 0 + 40\/(-10) - (0 + 0). Put v, -1, p, c in decreasing order.\nAnswer: c, -1, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 10, -3 in ascending order.\nAnswer: -4, -3, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -4)\/(1\/1). Let u be 1\/(r\/2) + 14 + -12. Let m(g) = g**3 - 9*g**2 + 14*g - 48. Let q be m(8). Solve u*h + h + 45 = 5*f, -h - 4*f + 16 = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234009301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-8)\/(-10)))\/(26\/(-104)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.207 (b) -23 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355 (base 13) in base 5?\nAnswer: -42044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19322268 and 126?\nAnswer: 57966804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -101 and 0.15.\nAnswer: -100.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 20*p - 52. Calculate the lowest common multiple of 46 and n(16).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173245 is divided by 34631?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74882930 and 23095.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/4 + 1)*-2. Let g = 632 + -625. What is the greatest common factor of g and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20902475 divided by -319?\nAnswer: 65525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/30 - s**4\/8 + 330*s**2. Let u be ((-200)\/(-35) - 0) + 4\/14. Let y(q) = -9*q**3 - 7*q. Give u*y(j) - 14*f(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 5*s**2 - 2*s + 2. Let h be i(-3). Suppose -w + 5 = l, -3*l - w = 4*w - h. Let k(z) = -3 - 5 - l*z**2 + 3*z**2 - 7*z + 2. What is k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x. Let h = -119 + 121. Let d(i) = -25*i**2 - 24*i**h + 50*i**2. Determine d(k(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 21*g**3 - 2*g**2 + 5*g - 1. Let x(f) = -42*f**3 + 4*f**2 - 10*f + 2. Let l(a) = 7*c(a) + 4*x(a). What is the second derivative of l(b) wrt b?\nAnswer: -126*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 33*i - 54. Suppose 3*v + 5*b = 2*b - 72, 0 = 3*v - b + 68. Let m be o(v). What is the greatest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(75) + ((sqrt(3) - (-1*sqrt(24))\/sqrt(8) - sqrt(3)) + sqrt(3))**2.\nAnswer: 5*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*b = -3*b + 16, r = 4*b - 14. What is the third derivative of 0*i**2 - 5*i**5 + 2*i**5 - 2*i**r wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552 is divided by 74?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*o, -3*g - o = -0*g. Suppose -x - 1 + g = 0. Let d be (-1 - -1)\/(0 + 1). Does d = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 4:54 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20074 and 1.3.\nAnswer: -26096.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a minute in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 38 = m. Let q = 77 - 69. What is the remainder when m is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23807533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 39*b - 40*b. Solve -4*o + 8 + b = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u**2 - 2*u - 2. Let x be g(-1). Let t = -8 - x. Let h(j) = -6*j + 1. Let o be h(1). Which is the nearest to 2\/7? (a) t (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56234.\nAnswer: 2, 31, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**8\/2240 - d**6\/240 - d**5\/40 - d**4\/4 - d. Let c(q) be the third derivative of i(q). Is c(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + 0 + sqrt(1216))*4 + (sqrt(38)*-1*-6)\/(-4*sqrt(14)\/sqrt(7)).\nAnswer: 61*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -182445*k + 7662753. Give d(42).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/3 + 88*k**3 - 2*k**2\/3 - 88*k = 0. What is k?\nAnswer: -132, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7334, 7675, 7956, 8177, 8338, 8439?\n\"Answer: -30*r**2 + 431*r + 6933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185125339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**4 - 5*t**3 - t - 1. Let x(s) = -2199*s**4 - 33465*s**3 - 37190*s**2 - 6174*s - 274. Let c(u) = 6*o(u) + x(u). Suppose c(i) = 0. Calculate i.\nAnswer: -14, -1, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 674143, 674118, 674093, 674068, 674043, 674018?\n\"Answer: -25*b + 674168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/9 bigger than 33\/1816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 23905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -153 times 314.424\nAnswer: -48106.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a)*(2*a - 4*a**2 - 2*a) + (-3*a**2 - 3*a**2 + 5*a**2)*(-2*a - 3*a + 4*a) + 3*a**3 + a**3 - 3*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147186*i**2 + 3*i + 132724*i**2 - 3*i.\nAnswer: 279910*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4+-3.9701\nAnswer: 0.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 51*c**2 - 306*c - 305. Let w(z) = 64*z**2 - 307*z - 306. Let f(m) = 4*w(m) - 5*y(m). Suppose f(r) = 0. Calculate r.\nAnswer: -301, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 2*u**3 - 2*u**3)*(-5*u + u + 2*u) + 623*u**4 - 113*u**4 - 263*u**4.\nAnswer: 253*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -940310 by 19190.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 21*y + 24. Let g be x(21). Suppose 35*w - 39*w - g = 0. Put -4, w, -3, -1 in decreasing order.\nAnswer: -1, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*((-5)\/(-4))\/(125\/1440*12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:02 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 63 = l, 3*l + 2*l = -5*i + 125. What is the remainder when ((-74)\/222)\/(2\/(-228)) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 0*d**2 - 11 + 3*d + 19\/4*d**4 + 0*d**3. What is the derivative of a(y) wrt y?\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-21) + -1*22\/7. Which is the second smallest value? (a) -5 (b) f (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 * 5\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/(-12)*((-5)\/25 + -1). Which is the nearest to v? (a) 4 (b) 6\/19 (c) 2\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 + -126. Suppose 0 = -9*c - 8 + t. Sort -3, 12, c.\nAnswer: -3, c, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)\/((6\/(-3))\/2). Sort -1\/4, -0.2, 2, m in descending order.\nAnswer: 2, m, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmszmoz. Give prob of picking 1 z and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 39, 58, 85, 120, 163, 214?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73700 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.009 + 0.091. Let d be -1*(-1)\/((-8)\/2). Let g be 2\/(-3)*(-2)\/(-4). What is the nearest to m in g, d, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from uhhhw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 2, x: 3, d: 6, s: 2}. What is prob of picking 1 x, 1 d, and 2 s?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*c = -2*c - 2, -2*c = -5*y - 41. Let k = 22 - y. Suppose -3*j + k = -37. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2157696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1036 + 925 + j**3 + 2*j + 0*j - 6*j to the form t*j**2 + a*j + g*j**3 + k and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -8)\/((-2)\/6). Suppose 0*w + 5*n = -2*w + 27, w - f = -5*n. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 9:18 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 427, 480, 535, 592, 651, 712, 775?\n\"Answer: b**2 + 50*b + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 374 and 899184.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376419 divided by -3.\nAnswer: 125473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 11*d**2 + 13*d + 33. Let q be u(-10). Let f be -5*q*((-48)\/15 + 3). Factor 1\/3*v**2 + 1\/9 + 1\/9*v**f + 1\/3*v.\nAnswer: (v + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 26*s + 68. Determine y(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 88 = -r, -4*v + 334 = -r - r. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 53583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 10. Let c be h(-13). Suppose 0*b = c*b - 6. Solve -5*p + 5 = 3*z + 20, 0 = z + b*p + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let d(a) = -2*a + 24. Let i be (-123)\/(-11) - (-10)\/(-55). Let m be d(i). Let v(q) = 17*q**2 - 4*q**2 - 7*q**2 + 16*q**m. Calculate v(y(b)).\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 18. Suppose 16 = 8*k - v*k. Suppose k*l - 29 = -5. Solve t - l*t = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5\/2 - 903*g**4\/2 - 59385*g**3\/2 + 1365903*g**2\/2 + 3073788*g + 3185406 = 0.\nAnswer: -159, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + sqrt(209)\/sqrt(176)).\nAnswer: -20 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702*j = 693*j + 333513. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -588420, -588407, -588386, -588357?\nAnswer: -588320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171) + 1)**2.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2981300 to the nearest 10000.\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 135777714.6 rounded to the nearest 1000000?\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 218341 and 0.368.\nAnswer: 80349.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -995, -1596, -2199, -2804, -3411, -4020, -4631?\n\"Answer: -a**2 - 598*a - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 1, -35, -4\/3, -1\/2, -3\/26, 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 77, 78, 79?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -448, -3795, -12964, -30877, -60456, -104623, -166300, -248409?\n\"Answer: -487*o**3 + 11*o**2 + 29*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1325 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**3 - 12*x**2 + 12*x**2)*(55 - 114 + 102).\nAnswer: -645*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438344377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30721 and 16771.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 160, 171, 188, 211, 240?\n\"Answer: 3*p**2 + 2*p + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 7, -0.07, 1372, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 2. Let x be l(-1). Let f be (x - (-2)\/2) + -1. Let t be 5\/10 + 9\/((-270)\/25). Which is greater: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2 + 6*l - 6. Let h(v) = 2*v**2 - 3*v + 3. Let n(t) = 2*h(t) + z(t). Let q(w) = -3*w**2 - 69*w + 1. Calculate q(n(j)).\nAnswer: -3*j**4 + 69*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56365389 is divided by 205713.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r - 17 = 4*q, 0 = r - 3*q - 9. Let m be -6*r\/12 + 2. Suppose -t = 3*t + 8. What is the closest to t in 2, m, 3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 29*u - 7 - 18*u - 11 + 219*u**2.\nAnswer: 219*u**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -8. Let k be 4 - l\/(2\/6). Suppose o + 5*a - 28 = 0, -o - 2*a = -k - 18. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 68*q - 1597. Determine t(50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.82975 days to weeks.\nAnswer: 17.40425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = c + 2*s, -2*c + 3 + 12 = 3*s. Suppose 3*q - 5*n = 8*q + 225005, c = -5*q - 3*n - 225003. What is q rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8030, 8026, 8022?\n\"Answer: -4*l + 8034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 - 4*g - 3. Let b(x) = -2 - 5 + 3 + 10*x**2 - 5*x. Let q = 24 + -20. Let f(j) = q*b(j) - 5*h(j). What is the derivative of f(y) wrt y?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 4*x**2 - 6*x + 4. Let z(t) = 3*t**3 + 2*t**2 + 5*t - 5. Let n be z(3). Let v = 104 - n. What is i(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, b: 7}. What is prob of picking 3 b?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*q = -106, -2*q = 3*d + 153 + 3. Let h = d + 56. Calculate the smallest common multiple of 3 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((46 - -17) + -15) - (-10 + -2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156702153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/30 + 27*b**2. Let q(r) = -13*r + 9. Let t(y) = 3*y - 2. Let n(z) = -2*q(z) - 9*t(z). What is i(n(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2725 - 2048. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 49 = -2*w - 5*y, w - 3*y = -21. Let b(p) = -p - 2. Suppose -3*s - 38 + 68 = 2*d, 5*d - 36 = -s. What is the lowest common multiple of b(w) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166684113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 89433.5 centuries?\nAnswer: 894335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/7 + 2183*q**2\/7 - 170040*q - 170352 = 0 for q.\nAnswer: -1, 1092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-592) + 6 + 452\/(-148). Suppose -s*r**3 + 0 + 0*r - 3\/2*r**4 - 3\/2*r**2 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 2*n = 3*c + 3, -5 = c + 2*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 8*p = -9*p + 2, 4*r - 32 = -3*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 498, 748, 998, 1248, 1498?\nAnswer: 1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -3 + sqrt(76)\/sqrt(4) + sqrt(19)).\nAnswer: 8 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*o - 18 = 0, 0 = 4*r + o - 2*o + 45. Let x = 33 + r. Calculate the lowest common multiple of 11 and x\/6 + 6\/(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2573886724.71 take away -0.4?\nAnswer: -2573886724.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15247 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1418d09 - 8?\nAnswer: -1418d13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2. Let q(f) = -593547*f. What is n(q(k))?\nAnswer: -1056894123627*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.99 + 15. Let g = 0.00999752 - v. What is g rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604703 (base 8) in base 13?\nAnswer: 6c81c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 212951\/(-366) - (-1*2)\/(-12). Let a = l + 941. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)*w\/w**5)**(2\/57))**(-2\/49) assuming w is positive.\nAnswer: w**(4\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-688)\/(-160) + (-31 + 7)\/3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/144*9*(-9)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 0, -1, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.8788 millilitres to litres.\nAnswer: 0.0538788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -501512436 less than 14027.7?\nAnswer: 501526463.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + r**2 + 3*r**4 + (-11*r**3 + 6*r - 6*r)*(-162 + 162 - 153*r) to the form h*r**3 + u*r**4 + o*r**2 + z + y*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + -3 + (-114)\/(-15). What is the common denominator of -25\/8 and -29 + (5\/2)\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**2 - 14 + 6 + 11*l**2 + 8.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -405.093 - -406. Round h to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x - 2\/3*x**3 + 0 + 4*x**2 + 7\/24*x**4. Differentiate h(c) wrt c.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 2*v**2 + 3*v + 3. Let l be x(-2). Suppose 0 = -9*m + 4*m + l. Solve 4*y + 9 = m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k - k**2 - 672 + 672 as j*k + s*k**2 + b and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**2 - 66*n - 13. Let w be c(-8). Find t such that 0 + 1\/4*t**4 + 1\/2*t**w + 1\/4*t**2 + 0*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3408766250 less than -0.7?\nAnswer: 3408766249.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3535967192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 4.4 (b) 3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1089\/1815*20\/(-18)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 125\/(-75)*12\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 109. Let x = -70 + v. Solve 25 = 5*j, x*c - 17 = -3*j + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 38*t**3 + 11*t**2 - 3*t + 3. Let z(a) = -75*a**3 - 20*a**2 + 6*a - 5. Calculate 11*j(q) + 6*z(q).\nAnswer: -32*q**3 + q**2 + 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = -2*b - 0*u, 4*u - 8 = -b. Let v = 8 - b. Suppose v = -q + l + 5, -q - 3*l = -0*q - 9. Calculate the least common multiple of 1 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 0, 216*n + 20 = 221*n + d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2597 is divided by 304.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 8. Let p be j(-8). Is 12 a factor of (p\/(-6)*144\/(-8))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 4*d + 4*d)*(-2*d**3 + 2*d**3 - d**4 + 15*d**4 + 11*d - 11*d + (-4*d + 5*d - 3*d)*(-d**3 + 3*d**3 - 4*d**3) + 0*d + 0*d - d**4)*(5 - 4 + 1).\nAnswer: -34*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.3 in 0.07, 0.1, -0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let j = k - -1. What is the closest to -0.2 in 3\/2, -5, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/2 - 17*n**3\/3 - 3*n**2 + 6*n - 9. What is the units digit of f(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = 48 - 6. Calculate the smallest common multiple of 48 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 150.926771 to two dps.\nAnswer: 150.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -63*o**2 + 368*o - 2029. Calculate j(6).\nAnswer: -2089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 + -7. Let w be (-16)\/c + 526\/12. Is (-1)\/2*(4 - w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3)\/(65 - 50911\/784)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11969 + 11970. Let c = -28 - -4. Let k be ((-2)\/c)\/(4\/(-6)). What is the third smallest value in k, r, -0.3, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776275?\nAnswer: 5, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13934061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18 - 2*(-11)\/792.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/14 in -2\/345, 1, -4\/29, 2?\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:22 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 261583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m + 57. Let s = -31 + m. Let r(l) = -51*l + 24*l - 1 + s*l. What is r(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 times -5876?\nAnswer: -734500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -838 + 837.8. What is the closest to 1 in -1\/2, -4\/5, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -w + 8, 0 = -0*h - 2*h + 6. Let t be -1 + 0 + 2\/w. Suppose v + 3*c - 22 = t, -12 = 2*c - 5*c. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 2 - 313*g**3 - 81*g**3 + 100*g**3 - 2 - 77*g**3.\nAnswer: -371*g**3 + 7*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**2\/3 - 682553216*n - 87352292375989248 = 0. What is n?\nAnswer: -255957456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 6) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71259080 is divided by 6581?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**3 - 66*l**2 - 39*l + 33. Determine d(-7).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/12656 and -29\/400?\nAnswer: 316400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let t(n) be the third derivative of 1\/120*n**5 + 0*n + 0 - 4*n**2 - 2*n**3 + 0*n**4. Let x(a) be the first derivative of t(a). Determine v(x(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87147.64484 rounded to the nearest 10?\nAnswer: 87150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j*o**4 - 2*j*o**3 + j*o**2 - 36893*j - 4599*o**4 + o**3 - 2*o**2 wrt o?\nAnswer: 24*j*o - 12*j - 110376*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*x + 89246, -9*n + 6*n + 5*x + 89296 = 0. What are the prime factors of n?\nAnswer: 3, 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/11 - (-1 - 1). Suppose -x - r*x = -168. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000976 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 789852.168ns in weeks?\nAnswer: 0.0000000013059725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80.1 - 76. Let g = 35 - 31. Let u = g - n. What is the second biggest value in u, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 243. Let h(i) = i - 81. Give -7*h(u) + 2*k(u).\nAnswer: u + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-35))\/((-4)\/10). Let p = 53 - 55. Let n be (p - -6)*(-12)\/168. Which is the closest to h? (a) 5\/6 (b) n (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 3:55 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-24 + 5 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*c + 3 + 684*c - 174*c - 165*c + 45*c**2 - 178*c to a*c**2 + w + v*c and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3437\/2 - -1751. Calculate the common denominator of -9\/55 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = 36*v + 3*s, -4*v - 99*s + 97*s - 26 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005596 to seven decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r**(1\/3)*r))\/r*r))**(3\/26)*((r\/(r**(1\/4)\/r)*r)\/r)\/r**(-2\/11) assuming r is positive.\nAnswer: r**(1193\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 2*w**2 - 3*w**2)*(-24*w + 92*w + 42*w)*(4*w - w + 4*w).\nAnswer: 2310*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:44 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/4)\/((-1914)\/232).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.56 - -0.26. Let i = 7\/34 - 1\/170. Let o = -6.87 + -0.13. Sort 1\/2, i, q, o in descending order.\nAnswer: 1\/2, i, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/2)*m\/m**(2\/15)*(m\/m**(-1\/2))\/m**(2\/3))\/(((m**2*m)\/((m*m*m**(-1))\/m))\/(m\/(m\/m**(-4))*m**5\/m*m)) assuming m is positive.\nAnswer: m**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7725 - 7733. Sort -0.06, w, -1, -5 in descending order.\nAnswer: -0.06, -1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58464 - 0?\nAnswer: -58464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:59 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 192818*l*n**3 - n**3 + 1573*n**2 - n + 9 wrt l.\nAnswer: 192818*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 48 - 48 + 3*c. Suppose -4 = -9*w + 7*w. Let i(s) = 0*s**2 - 6*s**2 + s**2 + 3*s**w. Calculate l(i(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 269*o**3 - 25*o**2 - 6. Let c(n) = -270*n**3 + 23*n**2 + 4. Let j(b) = -3*c(b) - 2*h(b). Find the third derivative of j(p) wrt p.\nAnswer: 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, 26227\/3, -0.738?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppop when four letters picked without replacement from pppooppppppopoppppp?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21892\/274275 + -2\/10971. Which is smaller: 3.23 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + -11 + 12)*28\/5. Let g be (-15)\/(-2)*o\/(-42). Which is bigger: g or -12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -258, -711, -1350, -2175, -3186?\nAnswer: -4383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -3. Calculate the remainder when n is divided by 1 + (1 - (-3 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -16*z**2 + 162*z - 35. Calculate l(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/114 and 109\/13764.\nAnswer: 261516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -40 - ((-27 - (-15 - 8)) + -4 + 3 + -3)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*h**4*t + h**2*t**3 + 5*h**2*t - 202*h*t**3 + 2*h - 5*t**2 wrt h.\nAnswer: -192*h**2*t + 2*t**3 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/12 + 122460\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11121221221 (base 3) in base 8?\nAnswer: 261730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 258586776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*a = a + 32, 2*a = 3*c + 50. Let x = c + 177. Calculate the remainder when x is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6193*u + 249*u**2 + 369*u**2 + 6193*u + 234*u**2.\nAnswer: 852*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1614602, 1614606, 1614612, 1614620, 1614630, 1614642?\nAnswer: 1614656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47665 - 24474. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/19*1*8. Calculate the highest common divisor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**7\/504 + 23*z**4\/12 - 2*z. Let m(s) be the third derivative of i(s). Let t(j) = -2*j**2. Calculate m(t(f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 2\/5 (c) -5 (d) 11 (e) -9 (f) 3\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148\/(-2)*239\/478?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 6*i. Let a(n) = 2*n**2 - 14*n + 26. Let z be a(4). Suppose 0 = z*t + 3*u, -5*t + 2*u = -0*u - 38. Determine q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.33 - -15.33. What is the closest to -11 in -4, 1, o, -3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*3*-4 + sqrt(171))*-2 + (1*sqrt(171)\/sqrt(9) - sqrt(152)\/(sqrt(8) + (sqrt(8)*1 - sqrt(8)))))**2 + 0.\nAnswer: 82764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300 divided by -13.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f - 3456 = 63*f. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 30 = -20. Let t(p) be the first derivative of -1\/6*p**3 + 1\/24*p**6 - 2 + 1\/8*p**4 - 3\/8*p**f - 1\/4*p + 3\/20*p**5. Factor t(o).\nAnswer: (o - 1)*(o + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -626 - -1079. List the prime factors of d.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 4, c: 12, n: 2}. What is prob of sequence mcnl?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7*j**2 - 9. Let v(y) = -10*y**2 - 13. Determine 5*v(d) - 7*x(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3\/3 - 44*w**2\/3 + 40*w\/3 + 96 = 0.\nAnswer: -2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 1 + 6)*(s**3 - s**3 - 2*s**4 + s**4 - s**4 - 3*s**4 + (s**2 - s**2 + 2*s**4)*(4 - 3 + 1) + 0*s**4 + 0*s**4 + 5*s**4 - 5*s**3 - s**4 + 5*s**3).\nAnswer: -51*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) 5\/6 (c) 1 (d) 2512\/3 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -20*d**2 + 244*d - 446. What is a(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -340154*c**4 - 1537852*c**2 wrt c.\nAnswer: -8163696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:31 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7258633.2 rounded to the nearest 10000?\nAnswer: -7260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 + 1)*(-7*f**2 + 6*f**2 - 5*f**2) to g*f + a + p*f**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - m - 6. Suppose -2*w - 3 + 4 = i, -5*i + 5*w = -20. Let j be (-5)\/(-4) - (i + -2). Put m, j, -4 in decreasing order.\nAnswer: m, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 354\/(-18) + (6\/9 - 1). Let t(y) = 2*y**2 + 32*y + 9. What is the tens digit of t(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 3\/12*-10*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -531, -1057, -1583, -2109, -2635?\n\"Answer: -526*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.0429354 and -3.\nAnswer: -51.1288062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.004, 5\/2, -0.2, -10, -5, -1\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 2*p - p**2 + p + 3*p - p**2 - 3*p + (3*p**2 - 2*p**2 - 3*p**2)*(3 - 3 + 2) + 3*p + p**2 - 3*p - p**2 - 3 + 3.\nAnswer: -6*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2. Let v(o) = 31722729*o. Determine i(v(r)).\nAnswer: -1006331535207441*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**10\/52920 - n**9\/26460 + n**8\/11760 + n**7\/4410 + n**4\/2 + 12*n. Let m(j) be the third derivative of f(j). Factor m(b).\nAnswer: -4*b**2*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**37*s*s**20)**42 assuming s is positive.\nAnswer: s**2436","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 39, 88, 157, 246, 355, 484?\n\"Answer: 10*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (67\/(-9))\/(-1 - -9) and -5 - 3\/48*-103.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 5*w + k, -4*k - 351 + 110 = -5*w. Calculate the remainder when 12\/84 - (-1007)\/7 is divided by w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-39)\/(-12) + -3)\/((-105)\/(-57833580)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 355*x - 1045*x - 1250*x to the form f + l*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1832, -6807, -15098, -26705, -41628?\nAnswer: -59867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728*c + 724*c - 21*c**2 + 750*c - 3005*c + 760*c.\nAnswer: -21*c**2 - 43*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**8\/6720 - f**7\/630 + f**6\/144 - f**5\/60 + f**4\/6 + 2*f. Let s(b) be the third derivative of r(b). Factor s(x).\nAnswer: (x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2. Let i(u) be the second derivative of 0 - 191*u + 0 - u**3 + 146*u. Calculate i(r(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-107)\/15 + 0).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 1. Let k(x) = -2*x + 3. Let l(o) = k(o) - 4*v(o). Let s(p) = 1. Let m = -101 - -100. Calculate m*l(c) + s(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 169*l**2 + 21*l**3 + l**4 + 2*l + 168*l**2 + 0 to the form x + w*l + j*l**2 + v*l**4 + k*l**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*s + 247, 0 = -2*s + 2*i + 25 + 69. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101010011000000000111011000 + -10?\nAnswer: 10101010011000000000111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(-14)) - 834*14\/(-1680)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20408*k - 22288*k + 31222*k in the form b*k + q and give b.\nAnswer: -11474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 25 = -4*n. What is the units digit of 60 + n + -1*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 21*x**2 - 2*x + 46. Let q be w(21). Suppose -503 - 249 = -q*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 52 - 8*n - 10*n**2 + 7*n**2 + 8*n**2. Let t be o(5). Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h + 3. Let r be s(0). Suppose 7*p = r*p + 4. What is the derivative of 0 - y**2 - p + 3 wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (290136\/(-286))\/42 - ((-8)\/130)\/((-2)\/(-5))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:12 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0*x*x*x**(-8\/7))\/(x**(-3\/2)*x)**(14\/3))**(-1\/9) assuming x is positive.\nAnswer: x**(-88\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Let g(d) = -d**2 - 6*d - 5. Suppose -4*t - 6 - 10 = 0. Let y be g(t). Solve -k*j = -4*j - y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 202145?\nAnswer: 202151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 15*x**4 + 3*x**4 - x**4 + 3*x**4 - 3*x**4 + (-5*x**2 + x**2 + 3*x**2)*(-14*x**2 - 7*x + 7*x).\nAnswer: 30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*p - 2*p + 40, 0 = -4*p - 5*a + 77. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330, 138, 1430, 3960, 8142?\nAnswer: 14390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*4 - 0. Suppose 5*p - 441 = -y*j - 25, j - 3 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-56)\/320)\/((-29)\/(-58)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + y - 28008 = 0. Suppose 55*g + y = 58*g. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f + 43 + 41 + 16*f**2 - 83 wrt f?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y - 1. Let a be q(-6). Suppose 0 = 2*w - 16*n - 180, 2*w = n - 68 + 83. Is a bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 2. Suppose -6*z = -z - 10. Suppose -z*n + 2*o = 4, 2*n + o + 2*o = -29. What is the remainder when 26 is divided by s(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2423867 + -2.2406. Round y to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-35)\/10*8\/(-7). Let k be (81\/(-18))\/(-2*(-3)\/p). Suppose k = -0*y + 3*y. Which is smaller: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1095)\/42)\/(-5) + 3 and -67\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -6 (c) -4\/9 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:13 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*f**2 - 21*f**2 + 24*f**2.\nAnswer: 73*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**6\/360 + z**5\/60 - 7*z**3\/6 + 6*z. Let r(q) be the second derivative of l(q). What is u in r(u) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*t)*(0*t**2 - t**2 - t**2) + 4*t**3 + 8*t**3 - 31*t**3 + (10*t + 6 - 6)*(-2*t**2 - 4*t**2 - 2*t**2).\nAnswer: -95*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -39*m - 199, -18*g = -23*g - 5*m - 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101628487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3\/10))\/m**36)\/(m**(-41)*m**(1\/2)\/m) assuming m is positive.\nAnswer: m**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -187*r**6\/6 - 499*r**3\/3 - 601. Find the third derivative of c(y) wrt y.\nAnswer: -11220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 + 57. Let h = d - -49. Let l = -34.1 - h. Which is the closest to l? (a) -1 (b) 0.3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 3*n**2\/2 - 2. Suppose -j + 5 = 2*o, 2*o - j - 5 = -o. Let u(v) = -4*v**o - 29*v + 58*v - 29*v. Calculate r(u(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeffeffefe. Give prob of picking 2 f.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -6*n**5\/17 + 32*n**4\/17 - 60*n**3\/17 + 48*n**2\/17 - 14*n\/17 = 0.\nAnswer: 0, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.114815567 + 63\nAnswer: 62.885184433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 212 and 2.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -355*l**2 + 14*l + 26. What is o(-2)?\nAnswer: -1422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3294, -3907, -4904, -6285?\n\"Answer: -192*t**2 - 37*t - 3065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5166075?\nAnswer: 3, 5, 68881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60606925 to the power of 1\/2, to the nearest integer?\nAnswer: 7785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 18 = -3*r, 4*j = -r + 21. Suppose 0 = j*h - 18 + 6, -h = 4*o - 199. Calculate the remainder when 634 is divided by o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - 129. Let k be (-16)\/b - (-34)\/60. Factor -1\/6*x**2 - k*x - 2\/3.\nAnswer: -(x + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.6 + -5. Sort 3, r, -0.2.\nAnswer: r, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 985008 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 2*a - 5*a - 4*o, 0 = a - 2*o - 12. What is the smallest common multiple of a and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1000100101110010010?\nAnswer: -1000100101110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/6)\/(-4)*-1. What is the closest to a in 0.4, 3\/7, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*s - 40, -47 = 3*r + 2*s - 15. What is the tens digit of r\/102 + 1232\/68?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -3*v - 135. Suppose -8*t + 33 = -v. Suppose 0 = -3*j + t - 0. Which is bigger: j or -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/9)\/((-4)\/(-18)). Which is the closest to 0.1? (a) -3 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 13. What is the common denominator of -41 and (-123)\/h - (2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, t: 2, e: 1, y: 1, z: 9}. What is prob of sequence tem?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 - -121. Solve 4*r + 9 = d, 2*d + m + 8 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238704331.\nAnswer: 238704331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603580658.\nAnswer: 2, 10709, 28181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2303501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*x + 7, 3*x - 2 - 1 = 0. Solve 2*t + 0*t - 18 = -c*n, -t - 1 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 9\/(-90) - 142\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let i(l) be the second derivative of 11*l + 0*l**2 + 0*l**3 + 13\/12*l**4 + 0. Determine i(j(s)).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*u - 3*a + 2, -u + 7 = -a. Let w(b) = -2*b + 32. Let i be w(14). Sort u, i, -1.\nAnswer: -1, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Suppose x = d - 3, 3*d - l*d + 4*x = 3. Suppose -6 - 4 = 5*a + 4*z, -3*z = 15. Solve g - 2 = d*q, a*q = 4*g - q - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 107*f + 1330. Let n be i(14). Solve -n = -2*m - 2*m - 5*d, -2*d = -5*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32112 - -330?\nAnswer: 33102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -78. Let r = h + 50.99999941. Round r to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2301*l + 26. What is the tens digit of r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 18*w + 1 - 7*w - 60*w.\nAnswer: -47*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -400, 4, 1\/5, 9719 in decreasing order.\nAnswer: 9719, 4, 1\/5, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 1018*t + 972*t = -1514, -t + 17 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/2 - 8*d + 14 = 0 for d.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 19*y**2 - 55*y - 168. What is b(-3)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -99872\nAnswer: -1\/24968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/63 + 68\/(-18). Which is the biggest value? (a) h (b) 0.9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24676960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4152)\/240 - (212\/(-40) - -5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44633 = -15*o - 109057. What is o rounded to the nearest one hundred?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 0.3, 2710, -0.13, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 4*b - 4*b)*(-5*b**2 - b**2 + 3*b**2) - 2*b**4 + b**4 - b**4.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 324.20003514 - 324.2. What is s rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2 + 2 + 2*x. Let k(l) = -l**2 - 8*l + 25. Let w be k(-10). Let g(q) = 4*q**2 + w*q**2 - 2*q**2 - 10*q**2. What is g(v(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013035668 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 22*o**2 + o + 22. Let n be s(-22). Let -a**3 + 5\/3*a**2 + 1\/3*a**5 - 2\/3*a + n - 1\/3*a**4 = 0. What is a?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 (base 10) to base 3\nAnswer: 12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 10*t**2 - t + 5. Give p(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4458 and -40\/2229.\nAnswer: 4458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, h: 3}. Give prob of picking 2 b and 2 h.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 13*q**2 - 25*q**2 + 0 + 8*q**2.\nAnswer: -4*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -2*y**5\/5 - 3*y**4 - 77*y**3\/3 - 8*y**2 - 108*y - 13309. Find the second derivative of g(x) wrt x.\nAnswer: -24*x**2 - 72*x - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -15*m + 4*f - 456, 3*f + 378 = 3*m. Solve 40*i = 64*i - m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 41*p**2 - p - 13. Let x(v) = 21*v**2 - 7. Give -3*g(r) + 5*x(r).\nAnswer: -18*r**2 + 3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 - 125*c**2 + 715*c + 845 = 0 for c.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6752 - s**3 - 6752 - s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5049 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6863 and -1030.\nAnswer: -2766.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1866722*h + 1866690*h - 3733415*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 + 4 = 0. Let z be ((-8)\/10)\/(f\/5). Let g(t) = 0*t**3 + 0*t**2 + 3*t**2 - 5 - t**3 + 4*t. Determine g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 714 = 3*z - 2*z. Let r be 1 + ((-15)\/(-2))\/((-259)\/140 + 2). What is the highest common factor of r and z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(((-279)\/(-310))\/((-117)\/15))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 6*t**4\/11 + 214*t**3\/11 + 2078*t**2\/11 + 3026*t\/11 + 1156\/11 = 0.\nAnswer: -17, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 11*i + 11. Let b be l(10). Let m be 3*1 - 12\/(7 - b). Let a(d) = 16*d - 1. Give a(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/914, 1839\/244, 4 in ascending order.\nAnswer: 1\/914, 4, 1839\/244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 23688009.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -331242 + -23?\nAnswer: -331305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**2 + 4*o**2 + 6*o**2. Let n(s) = s**2. What is n(t(w))?\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + -4. Find the common denominator of 109\/78 and 4110\/d*2*(-2)\/16.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2 + 1)*1. Let j be (-14)\/18 - 10\/45. Let l be r + 0 + j + 3. Solve 2*g + 4 + 1 = -k, -4*k - 2*g = -l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -184, 4, -2, 0, -2\/11?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1484, 1502, 1520, 1538?\nAnswer: 1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -5*u**4\/12 - 785*u**3\/3 + 1575*u**2\/2 - 272*u - 2. Factor c(j).\nAnswer: -5*(j - 1)*(j + 315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13 + 17*v - 48*v + 26*v. What is t(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7709257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98, -100, -94, -74, -34, 32, 130, 266?\n\"Answer: d**3 - 2*d**2 - 3*d - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8426404 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4665155, -4665152, -4665149, -4665146, -4665143, -4665140?\nAnswer: -4665137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 2*f**3 + 9*f - 5*f**3 - 4 + 5*f**3 to p*f**2 + r*f + m + q*f**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 6*u**2 - 981*u - 3865. What is o(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 4*v + 1. Let x be (1\/2)\/((-5)\/(-30)). Let s = x + -7. Give q(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -605136, -1210265, -1815394, -2420523?\n\"Answer: -605129*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 16 = 17*c. Which is smaller: 17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21927 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (2*(sqrt(153) + -1) - (sqrt(153) - (1 + sqrt(153))*2)))*4)**2.\nAnswer: 864*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**4\/2 + 4*z**3\/3 + z**2 + 24. Determine a so that b(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424154151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -219, -4, 4, 0.1, -5\/3, 504?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012001 (base 3) to base 6.\nAnswer: 14431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(2)*-3 + (sqrt(2) - sqrt(14)\/(sqrt(35)\/sqrt(5))) + (sqrt(242) + -1 + sqrt(2) - (1 + sqrt(2)*-1)))**2*6.\nAnswer: -1206 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64892?\nAnswer: 2, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 54633 = 54753 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36428 and 72856?\nAnswer: 72856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-36 - (-25 + 7)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 = 2*j. Suppose 0 = 27*z - 21*z - 6. Sort j, 1\/10, -3, z in ascending order.\nAnswer: -3, j, 1\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -5*j**4\/24 + j**3 - 3*j**2. Let k be c(2). What is the tens digit of 6*(-42)\/k + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.288743 micrograms to grams.\nAnswer: 0.000000288743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 552892054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 2:07 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50753\/16 - -3177. Find the common denominator of -1\/42 and h.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2. Let g(i) = 3615*i**2 - 3. Give g(u(w)).\nAnswer: 14460*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 24958*u. Let l(k) = 13*k**2. What is q(l(r))?\nAnswer: 324454*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79786 and 6394.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-16))\/(135\/12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33338346953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3 + 11*d - 6 + 5*d**2 - 1 - 4. Let g(l) = -2*l**2 - 4*l + 3. Suppose -6 = 2*v + 10. Let k(w) = v*g(w) - 3*o(w). Factor k(h).\nAnswer: h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + (-1 - -1) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1711.85 * 2.\nAnswer: 3423.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -423*j**2 + 9306*j - 56. Give x(22).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/240 and 137\/624.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 22 - 6 = k, -52 = 16*a - 21*a + 2*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -104325, -101420, -98515, -95610?\n\"Answer: 2905*t - 107230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/28)\/(71\/2982*3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -29*o. Let m(w) = 4461*w**2. Calculate a(m(r)).\nAnswer: -129369*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30380*x**3 - 13*x**2 + 51663136*x.\nAnswer: 182280*x - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:54 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c - 1. Let u be p(1). Let v be (-4)\/(-10) - u\/10. Suppose 2*y + v*n - 72 = 4*n, 5*y - 4*n = 181. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 33 = -41. Find p, given that -1\/3*p**z + 1\/3*p + 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from hhhulhhgllhhlu.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -22*h**2 - 5*h + 25. Let z be 16\/(-32)*1*10. Let o(a) = 11*a**2 + 3*a - 12. Let x(g) = z*o(g) - 3*c(g). What is the first derivative of x(d) wrt d?\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 20. Let h = -154 + 358. Suppose 0*q + h = 3*q. What is the highest common divisor of q and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5043 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(700) + -1)*-4)**2.\nAnswer: -11520*sqrt(7) + 403776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 338798120*i + 29*i**2 - 338798120*i.\nAnswer: 29*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -24886*m**3 - m**2 - 9*m - 11. Let i be z(-2). Suppose 4*v + 235200002 = h, -v - 2*h + i = 58999087. Round v to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 584, 2424, 5520, 9872?\n\"Answer: 628*h**2 - 44*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/1 + 1 + 0. Suppose -8*n + i = -3*n. Which is the closest to -1\/3? (a) 4 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - 81. Suppose 933 = g + 2*g. Let s = g + v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213*d*q**3 - 8*d*q + 2*d + 1268993*q**4 + q - 1244588 wrt q?\nAnswer: 1278*d*q + 15227916*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 6. Let a be z(-10). Let m be (4\/8)\/(2\/a). Is 2 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1180254, 2360376, 3540498, 4720620, 5900742, 7080864?\n\"Answer: 1180122*s + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.28041?\nAnswer: -0.140205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5.1. Let o = -3.9 + n. Let i(h) = -h**2 + 1. Let j be i(1). Which is the third biggest value? (a) 3 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 2 (c) 0.5 (d) -0.1 (e) 1\/180 (f) -1\/4 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a**2 + 9*a - 5. Let c(x) = -5*x**2 + 5*x - 3. Let h(s) = -7*c(s) + 4*i(s). Let d be h(2). What is the units digit of 8 - 6 - (d + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*d**2 - 650 + 650 to t + f*d + l*d**2 and give l.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2830 and 2264.\nAnswer: 11320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 87 = 27*s. Let j(h) = 2*h - 1. What is the remainder when s is divided by j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 45*f**2 + 360*f + 11. Calculate a(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 373659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.78241ns in seconds?\nAnswer: 0.00000003578241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 4*s - 3*s)*(6*s**3 + 6*s**3 - 5*s**3) - 4*s**3 - 3*s**3 + 94*s**2 + 2*s**4 - 92*s**2 - 21*s**4 - 19*s**4 + 14*s**4.\nAnswer: -38*s**4 - 7*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77872, -77863, -77854, -77851, -77860, -77887, -77938, -78019?\nAnswer: -78136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/1)\/(1752\/(-876))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -795.9255 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 3:32 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*i - 15, -20 = -2*i + 3*d + 5. Let f = -124 - -131. Suppose g = 2*o - 10, -o - 3*g + 12 + f = 0. What is the remainder when o is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*(-12 - -423). Is u smaller than -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*n - 8*n = -24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 53446 - 170386 = 0. Let h(x) = -x**2 - 13*x - 13. Let y be h(-12). Is v*(y - (-4)\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 83. Calculate the least common multiple of 3 and (r\/(-30))\/((1 - -1)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 14*w**2 + w + 18. Let p be d(-14). Suppose 3*f - 5*k - 12 = 0, 4*f - 8 = 2*f + p*k. Solve -s - 15 = f*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1849862*c**3 - 6347*c**2 + 6347*c - 6347. Let u(d) = -583*d**3 + 2*d**2 - 2*d + 2. Determine 2*r(t) + 6347*u(t).\nAnswer: -577*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) - (sqrt(7) - (sqrt(7) + -2))) + 5 - (sqrt(1008) - sqrt(1008)*1)**2.\nAnswer: 3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (11 - 561\/77).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 - 411*j**2 + 14943*j - 14529 = 0. What is j?\nAnswer: -167, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27177, 54354, 81531?\n\"Answer: 27177*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*-1*sqrt(11) + (sqrt(11) + sqrt(11) + -3)*3.\nAnswer: -11 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z - 3*z**2 + 4*z**2 - z - 4*z**2 - 13*z**3. Let p(o) = 9*o**3 + 2*o**2 + 5*o. Let d(v) = -v + 5. Let r be d(12). Give r*p(u) - 5*w(u).\nAnswer: 2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 111*l**2 - 20*l - 9663. What is i(112)?\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - (-96)\/10)*-5. Solve j*s = -36*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbbbjdgxbbd. What is prob of sequence xj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 366 in 1\/10, 0.08, -7\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247929, 495860, 743791, 991722, 1239653, 1487584?\nAnswer: 1735515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.84 + -32.2. Let t = f - -1.56. Is 3 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 61*j - 1024. Give z(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -4042?\nAnswer: 1212.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5815078, 11630161, 17445244, 23260327, 29075410, 34890493?\n\"Answer: 5815083*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 13*d = 12. Is 14 a factor of 6*d\/(-60) - (-3369)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80340000 to the nearest one million.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/29 + 68\/145. Let t = -26.62 + 26.82. Which is the nearest to i? (a) t (b) -0.06 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 476 = 1239. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 349\/(-2 + (-3)\/6). Let h = 140 + k. Determine x so that 0 - 6\/5*x**3 + 2\/5*x**4 - h*x + 6\/5*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/12 - 5*k**3\/3 + 875*k**2\/2 - 10*k. Is a(0) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3087108 and 870?\nAnswer: 15435540","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.064, 14\/65, 5, 2?\nAnswer: 14\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 9*m**2 + 23*m - 7. Let q be z(4). Solve -2*g - 2*g + 3*i = 8, -q*g - 2*i = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0 + 2*s**2 + 0*s + 0*s**3 + 1\/30*s**6 + 0*s**5 + 1\/6*s**4. Find the second derivative of d(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 + -4.08. Let t = -0.08 + u. Which is the second biggest value? (a) 5 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1134\/56)\/(-27)*5568\/432.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.3. Let k = l + -0.1. Let r = 2.98 - -0.02. Which is the closest to -2\/9? (a) k (b) -2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 + 12*b - 7. What is the least common multiple of g(8) and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1*3)\/(sqrt(12) + sqrt(12) + sqrt(120)\/sqrt(90) + sqrt(12)) - -1*((-2*sqrt(68) - sqrt(68)) + 5))**2.\nAnswer: -51*sqrt(17) + 46717\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7688755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a factor of 47476500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4654*l = -2*c - 4653*l + 68, 0 = c + 2*l - 64. Let r be (2\/20)\/(2\/(-12)). Which is greater: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/64)\/(375\/50)*(-35)\/42.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3808 and 896?\nAnswer: 15232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6615 - 2822. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/5 + -17\/10. Is -97 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377625 != 6377625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -2*c**3\/3 + c**2\/2 - 8*c - 11. Let l be 1*1*(0 + 1). Calculate d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1916 + -0.0016. What is d rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -42*d + 1480. Let q be a(35). Let p(u) = u**2 + 5*u + 4. Let w be p(-5). Suppose -x + 12 = -3*s, -w*s + 2*s = x - 2. Solve -j = -x*j - q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -56.2. Which is the third biggest value? (a) -0.1 (b) -2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 3*n - 8. Let m be f(-4). What is the highest common divisor of m and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(5\/(-10)*-4). Suppose 4*d + 111 = d - i, 5*d + i + 183 = y. What is the units digit of (0 - 4\/(-3))\/((-8)\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggcg when four letters picked without replacement from ggcccgccccgccc.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z**2 + z - 1. Let l(a) = -31*a**2 - 13*a - 492. Let r(u) = l(u) + 3*p(u). Factor r(q).\nAnswer: 5*(q - 11)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 + 124*f - 113. Let z be y(40). Which is the fourth biggest value? (a) z (b) -5 (c) -3 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 2*m**4 + 3*m**4 + (-m**3 + 2*m**3 + 0*m**3)*(0*m + 3*m - 6*m)*(6 + 3 + 0).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - 4) + (778 - 723).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*i - 3*i = 60, -4*i = 4*m - 48. What is the closest to 0 in 5, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*((sqrt(1573) - -1*(sqrt(1573) + 3) - sqrt(1573)) + 5)*2*5)**2.\nAnswer: 1760000*sqrt(13) + 16370000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.45 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 6890*o + 0*o**2 - 8606*o)*(4*o**2 - 8 + 8).\nAnswer: 4*o**4 - 6864*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 17 = 4*g, -4*k - 1016 = -2*g - 1032 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 228208 - 155531. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 12:04 AM?\nAnswer: 569","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -154.\nAnswer: -3\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263 - 190. What is the remainder when r is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:49 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**2)\/n*n)*n)\/n**(-2\/5)*(n**(1\/3))**(-22))\/(n*n\/(n**(-8)\/n*n)*(n*n*(n\/((n*n**2)\/n))\/n)\/n)**14 assuming n is positive.\nAnswer: n**(-2009\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -15. Let w(v) = -3*v**3 - v - 10. Let i be w(-2). Let h = g + i. Solve -h*m + m = -2*r - 24, -23 = -3*m + 4*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-205)\/(-30) - 35\/5. Which is the smallest value? (a) 8 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/31 (b) 0.26 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646319155 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 26, 20?\n\"Answer: -6*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 632*j**2 - 2524*j - 7568\/3.\nAnswer: -(j + 2)**2*(j + 1892)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -2025.958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -5, 32, 113, 250, 455, 740?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -594 + 5963\/10. What is the common denominator of v and 7\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**3)**(-2\/21)*(x**(-2\/13))**35 assuming x is positive.\nAnswer: x**(-1418\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 80 - -3?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 44*z**2 + 45*z + 101. Let j be m(-43). Solve j = -5*f + 5*c, -2*c = -7 + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 9*t**2 + 16*t - 4. Let d be 29\/(-29)*(-6 - 1). Let k be v(d). Solve -9*i + k*i - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 62 + h + 15 as x*h + v and give v.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 1\/20*c**5 - c - 43\/3*c**3 + 0 + 1\/8*c**4 - 5*c**2. What is the derivative of y(p) wrt p?\nAnswer: 6*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, s: 4, l: 1, o: 3}. What is prob of picking 2 s and 1 l?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 17 + 36)*(-y**5 + 16*y**5 - y**5).\nAnswer: 1148*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(196\/196)\/(66\/(-3))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 81*n**2 - 49*n - 332. Give x(-40).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.311 * 4\nAnswer: -1.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**4 + y**2 - 1. Let s = -197 + 212. Let i(x) = -48*x**4 - 6*x**3 + 6*x**2 - 12*x + 15. Let h(b) = s*n(b) + i(b). Solve h(k) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s - 2. Let j be g(-4). Suppose j = 5*h + 3*r, -r - 10 = -h - 3*r. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 231177403?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 38. Let y(z) = -z**3 - 2 + 0 + 2*z**2 - 4*z + 4*z**2 + 0*z**3. Calculate the smallest common multiple of y(4) and h.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-10\/13))\/n*n*n\/n**(-23) assuming n is positive.\nAnswer: n**(335\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:08 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1*1\/1). Let n = v - 1. Let q(f) = 9*f**2. Is 8 a factor of q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 33 = 108. Suppose -2*l + 31 + q = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*30\/(-315)*(-198)\/4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2425 and 193968475.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1177*r + 5258 - 37037 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d + 0*d**2 - 6*d**2 - 4*d - 3*d**3 - 3 + 5*d. Let z(n) = n**4 + n**3 + n**2 + n + 1. Let q(x) = -o(x) - 3*z(x). Factor q(w).\nAnswer: -3*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z = k - 50, -2*k - 2*z + 40 = 0. Let b = 22 - k. Does 7 divide (-4 - -1) + 14 - b*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*j + 710 - 467 = 0. Which is greater: 1\/13 or j?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001073405 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-4)*z)\/z)\/((z**0*z)\/z))**(3\/17) assuming z is positive.\nAnswer: z**(-9\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-23)\/q**(-8)*q\/(q\/((((q\/(q**(9\/2)*q))\/q)\/q)\/q))*q\/(q*q**(3\/25)) assuming q is positive.\nAnswer: q**(-1131\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.3, 7.52, 3, 5\/6, 0.1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2020637*t - 2020635*t + 2*h, 13*t = -2*h - 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10147, -20298, -30449?\n\"Answer: -10151*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 115744850 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185*c + 2094 wrt c.\nAnswer: 185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5325905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 o, and 1 n when three letters picked without replacement from {o: 4, n: 1, t: 2, w: 2, i: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310416 is divided by 324.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*v - 30*v - 31*v - 21*v in the form n + f*v and give f.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9722680 to the nearest 100000.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10542259 is divided by 7815.\nAnswer: 7639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4685, -18763, -42227, -75077, -117313, -168935?\n\"Answer: -4693*u**2 + u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 10 + (2 - -48) + 49 + -52?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166 and -89.\nAnswer: -14774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 6*z**2 - 6*z + 5. Let l be k(-7). Let h be 1\/l - 72\/(-16). Let q = 4 - h. Round q to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8785309 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k - 60. Let i be n(9). Calculate the greatest common factor of 552 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-14))\/(6610\/(-647780))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*b - 9 = 0, 7*y - 12*y = -b - 27. Calculate the highest common divisor of 245 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 6.5. Let t = 0.5 + w. Let d = -1055 + 1055.2. Which is the nearest to t? (a) -3 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 2*s**2 + s + 1. Let p(r) = 86*r**3 - 44*r**2 + 2*r + 22. Give 2*p(l) - 44*x(l).\nAnswer: 84*l**3 - 40*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (5 + sqrt(17) + -4)**2 + sqrt(17))*2.\nAnswer: 8*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6279999 * 34.\nAnswer: 213519966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r + 2. Let x(c) = 18*c + 11. Let d(v) = -4*b(v) - 2*x(v). Suppose 18 = -3*i - 0*i. What are the prime factors of d(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from uudduuuddduuuuuuuuu.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6500 divided by 7616.\nAnswer: 1625\/1904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + 2\/8. Suppose o = 5*r, 4*v = -0*r - 3*r + 256. Let w = 641 + -619. Calculate the remainder when v is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6267, 0, 3 in decreasing order.\nAnswer: 6267, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8452947 is divided by 517.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 2. Calculate the remainder when 19 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*y + 7530 - 7343 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 309666, 619330, 928994, 1238658?\n\"Answer: 309664*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 178, 175, 170, 163?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27709025 - 2.\nAnswer: -27709027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*30\/(3\/(-1)). Let g be (-20)\/q - 2\/14. Let y = -2.5 + 0.5. Which is the closest to -0.1? (a) 0 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/9855 and 77\/24?\nAnswer: 78840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 17*o**2 + 2*o + 20. What is b(-17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4838 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 27. Let l = -8 + f. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p**6\/45 + p**5\/5 - 32*p**3\/9 + 25*p + 54. Let k(t) be the first derivative of q(t). Factor k(w).\nAnswer: 2*w*(w - 2)*(w + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3611740 - 2.59088?\nAnswer: -3611742.59088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-13)\/(-260)*(-7)\/(105\/24). Solve -4\/5 + 2\/5*y**2 + p*y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q**2 + 3. Suppose -575*t = -578*t + 3. Determine b(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005707772 to 5 dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -18, 2.7, -14, -24\/11, -3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 21. Let j be z(-13). Suppose j*h - 5 = 2*u + 4, -3*h - 3 = 3*u. Let l = -11 + 10.7. Which is the closest to -1\/8? (a) l (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 33 - 31. Let o = 121255 - 121133. Calculate the remainder when o is divided by p.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2)**2*-5.\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46804921 a multiple of 2068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence posp when four letters picked without replacement from epsppesolp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3*(sqrt(704) + -2) - (4 + (sqrt(704)*2 - sqrt(704)))) + -1)**2.\nAnswer: -64*sqrt(11) + 11260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -612\/19, 0.5, 4, 9, -6, 1, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v = -86*v + 149*v - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10106 is divided by 5020?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1343, 10325, 34727, 82253, 160607, 277493, 440615, 657677?\n\"Answer: 1284*k**3 + 6*k**2 - 24*k + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(5) + (sqrt(5)*-3 + 0 - sqrt(5)))*2)**2 + (sqrt(45) - (sqrt(45) - sqrt(1125)*1 - sqrt(45)))\/(-2*sqrt(441)).\nAnswer: 165*sqrt(5)\/7 + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 10. Suppose 2*t - 236 = -k, -6*t + k = -l*t - 484. List the prime factors of -4 - (-18584)\/t - 4\/(-30).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112574 (base 14) to base 2\nAnswer: -10001110010010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 32*n - 68. Let a(f) = -f + 2. Let d(v) = 10*v**2 - 157*v + 330. Let l(p) = -5*a(p) - d(p). Let o(b) = -3*l(b) + 14*s(b). Factor o(g).\nAnswer: 2*(g - 17)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*w, -5*j - 12 + 62 = 4*w. Suppose -5*y + 6 = -j. Suppose -3*a = -3*o + 24, a = 8*o - y*o - 23. Put -2, -3, o in descending order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1509 and (-9)\/(-6) + (-731)\/(-255).\nAnswer: 15090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1068 times 6\nAnswer: 6408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 398, 494, 590?\n\"Answer: 96*d + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 248 - -2b?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16609 greater than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**4 + 0*n**4 + 0*n**4)*(14 - 11 - 11) + 9 + 20*n**4 - 9 to y*n**4 + q + k*n**2 + i*n**3 + p*n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 240466, 240918, 241370, 241822, 242274?\n\"Answer: 452*z + 240014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/3 + 6*w**3 - 28*w**2\/3 = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + (sqrt(320) + sqrt(320) + -1*sqrt(320))**2 - sqrt(320)) + sqrt(605)*-2*6).\nAnswer: -700*sqrt(5) + 1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 83\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -32\/5 (b) 67 (c) -0.111 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3741761444?\nAnswer: 2, 43, 21754427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7008, -6835, -6662, -6489, -6316?\nAnswer: -6143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4910*w + 319120. Calculate i(65).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d - 26. Give p(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b + 0*b)*(2*b + 1 - 1) - b**2 + b**2 - b**2 + 3*b - 3*b**2 + 4*b**2 + 5*b**2.\nAnswer: 7*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**2 + 1740*h + 12. Let t(m) = -m**2 - 4*m + 1. Give -q(d) + 12*t(d).\nAnswer: -2*d**2 - 1788*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 679721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/420 - z**5\/315 + 19*z**4\/252 - 2*z**3\/21 + 19*z**2 - 2. Let n(l) = 0. What is l?\nAnswer: -3, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 589*f**3 + 9*f**2 - 11*f - 11. Let l be r(9). Round l to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 2:15 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1648 is divided by 412.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96154899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0915 and 4743.5.\nAnswer: 4743.4085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 42. Suppose 0 = -3*b + m*b + 18. Let v(j) = j**3 + 7*j**2 + 4*j + 8. Determine v(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 40 = -g. What is the greatest common factor of 30 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 649448 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 500 = 14. Let n = -4 - -8. What is the remainder when ((-44)\/33)\/(6\/w) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -106518, -212915, -319298, -425661, -531998?\n\"Answer: l**3 + l**2 - 106407*l - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - 2*d**3 + 33*d + 34*d - 72*d - 2*d**3.\nAnswer: -4*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, -88, -424, -1072, -2134, -3712, -5908, -8824?\nAnswer: -12562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/12 and 37\/20*70\/(-56).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, t: 1, k: 1, d: 2, r: 1, g: 2}. Give prob of picking 1 k, 1 d, and 2 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 22*i - 37. What is the tens digit of y(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296952477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1140*c**2 - c + 671?\nAnswer: -2280*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((9928\/(-48))\/17)\/((-265)\/(-1590))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 1.3. Sort 0.19, j, 5 in decreasing order.\nAnswer: 5, 0.19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 1208565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2623890 + -157120.\nAnswer: 2466770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 4, 20 in ascending order.\nAnswer: -4, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 6*j - 8. Let h be m(8). Suppose -h*g = 28 + 4. Let l = 16 + g. What is the smallest common multiple of 4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -16*q + 21*q. What is the lowest common multiple of 6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5 + 298960*o**4 + 298962*o**3 - 298960*o**2 - 298961*o = 0?\nAnswer: -1, 0, 1, 298961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2*j - 65723*b**2 + 28853*b*j**2 + 14 wrt j?\nAnswer: -2*b**2 + 57706*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29307 and -9.\nAnswer: -29316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469623189.\nAnswer: 3, 7, 22363009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00487 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z\/(z**(-1\/14)*z*z*z))\/z)\/z)**(-18)*z**6*z*z*z\/(z\/(z*z*z*z**(-9)))*z)**29 assuming z is positive.\nAnswer: z**(11310\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-201)*(-20)\/(-70). Are 1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 2*i - 2. Let f be s(2). Solve -b = 4*b - f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*z - 50, 4*z - 12 - 45 = 5*j. Suppose 1584 = z*o + 3*o. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384 - 352. Differentiate -2 + 59*d**2 - 16 + g with respect to d.\nAnswer: 118*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from soooooosooosoosoooo.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/((-2)\/(-28)). Let h be 1 - (-1 - (3 + f)). Let a(d) = 2*d + 3. What is a(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12383355, -12383328, -12383291, -12383244, -12383187?\nAnswer: -12383120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4688*d**6 - 7*d**2 - 19*d - 6 wrt d?\nAnswer: 562560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/3)\/(11 - 286\/39) + -1.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3363 - -3367. Which is the closest to 19? (a) 2 (b) 2\/13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 373 - 373 + 21*g. Let q(h) = 3 - 3 + 3*h. Let j(m) = -27*q(m) + 4*t(m). Let p(a) = 13*a. Calculate j(p(k)).\nAnswer: 39*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 381245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*a - 240 - 106, 0 = 2*a + 4*x - 346. What is the remainder when a is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 2, -6 in ascending order.\nAnswer: -6, -5, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 4*a**6\/15 - 5*a**4\/4 + 23*a + 26. Let k(j) be the first derivative of v(j). Find the third derivative of k(p) wrt p.\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300200 (base 4) to base 14.\nAnswer: 11ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**4 + 33*y - 5592*y**2 - y**3 + y**3 + 5594*y**2 + 2 to the form d + x*y**3 + u*y**4 + s*y + j*y**2 and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9411, -9410, -9409, -9408?\nAnswer: -9407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35440180, -35440167, -35440146, -35440117, -35440080, -35440035, -35439982?\n\"Answer: 4*p**2 + p - 35440185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 102, 188, 252, 288, 290, 252, 168?\n\"Answer: -h**3 - 5*h**2 + 108*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/50 + 37*j**4\/30 + 71*j**3\/15 + 7*j**2 + 61*j + 5. Factor o(m).\nAnswer: 2*(m + 1)**2*(m + 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16087 minus -17134?\nAnswer: 17134.16087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 172 divided by 4\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y = 16*y - 72 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3244 is divided by 1079.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((((-55)\/(-10))\/(-11)*10)\/((-30)\/(-12)))\/122\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/481742 and -145\/6.\nAnswer: 1445226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-313)\/5 + (-6)\/15. Suppose 0 = 2*b + 21 + 105. Are b and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*d + 90433. Let l = -3056 - d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277274 is divided by 6750.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 240000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l*l**(-2\/5))\/((l*l\/(l**(-2\/7)\/l*l))\/(l**(1\/2)\/l)))**(-2\/57) assuming l is positive.\nAnswer: l**(293\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(432) + 0)*3*4.\nAnswer: -864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348688?\nAnswer: 2, 19, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1672*h + 24. Let i(r) = -835*r + 12. What is -9*i(t) + 4*q(t)?\nAnswer: 827*t - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1 - 6\/4)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*m = -83*m + 1916. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14246545*f**2 + 663912*f - 4.\nAnswer: 28493090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-81))\/(6\/(-27))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17134 is divided by 650.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -400 + 403. Which is the closest to -2? (a) 2 (b) 0.03 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*m = -290, -5*m - 16 + 366 = 4*l. Solve 0 = -l*h + 93*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -127. Suppose 3 = 5*x + 6 + 2. Let j be x\/(-5) - f\/30. Let k(a) = a + 1. Calculate k(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -78*u - 218*u - 64*u - 1392 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 90. What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4 - 2*w**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 799*t - 999*t + 521 + 279 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(16\/10)\/(5028\/4190).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 13) + (-3 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3912571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -39*w + 0 + 17\/3*w**3 + 0*w**2. Let d(t) = -t**2. What is x(d(v))?\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8577026 - 8577026 - 4*k**3 - 313*k as b*k**2 + o + f*k**3 + j*k and give j.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 362\/(-40) - (-3 + -1) and -101\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.914 - -53.06. What is j rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = 952 - 3856. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o + 26. List the prime factors of y(-18).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 31. Is p at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 185946*o**4 + 8*o**5 + 8 - 7*o**5 - 185981*o**4 + (4 - 2 + 0)*(2*o**5 - 5*o**5 + 2*o**5) - 3*o**4 - o**5 + 3*o**4.\nAnswer: -2*o**5 - 35*o**4 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**2 + 8*r**2 + 3*r**2 + (-3*r**2 + r**2 + 4*r**2)*(-5 + 3 + 3)*(2 - 5 + 1) as k + n*r**2 + x*r and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 4. Let p be y(3). Suppose -13 - 9 = -p*z. What is the smallest common multiple of z and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**7\/840 - f**6\/120 - f**5\/30 + f**4\/4 + 43*f**3\/6 + 15*f**2. Let a(t) be the first derivative of x(t). Give a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, 226\/7, 6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -43 + 2*r + 21 + 13. Let s be y(6). Suppose 2*m - g - g + 60000 = 0, -s*m - 90000 = 3*g. What is m rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1585629113 + -16\nAnswer: 1585629097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 5*f = -5, -5*z - 4*f + 4 = -0*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6 = -s, -4*s + 49 = 2*w + 53 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, -0.1, -4\/7, 3\/5, 4\/151?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.066, -22, 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*r + 7*r**2 - 7*r)*(0 + 1 + 0) + 7*r**2 - r**2 + 5*r**2 + (5*r**2 + 0*r**2 - 2*r**2)*(5 - 1 - 3) in the form v + w*r**2 + q*r and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - u**4 + 5*u**4)*(4 - 4 + 2*u) + (u**3 - 2 + 2)*(4 - 4 + 3*u**2).\nAnswer: 15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(sqrt(7) + -1)*6*-1 - (-4 + (-5 + sqrt(567)*-2)*6))**2.\nAnswer: -15456*sqrt(7) + 46204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from uwwwhguhwwgwg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2 = 2*d - 13, -2*o + 8 = -d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 14. Suppose -5*t + q - 3 = 0. Suppose -t*l - 31106 = -5106. Round l to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**3 - 6*u**3 + 10*u - 4*u as s*u**2 + n*u + p + i*u**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 20*x**2 - 4*x - 16. Let t be u(-3). Calculate the highest common factor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h**3 - 61*h**3 + 128*h**3 + 4*h**2.\nAnswer: 12*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 + 318. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007625633 to 7 dps.\nAnswer: 0.0007626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 3. Suppose 5 = c + 2, -5*b + 2*c - 21 = 0. Let t be s(b). Let n be t\/16 - (-5)\/4. Solve 0*k - k - n = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-2900)\/320 - -2).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 1:37 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - o**2 + o - 1. Let i(v) = -29*v - 802. Let g be i(-26). Let p(l) = 16*l**3 - 48*l**2 + 48*l - 48. Calculate g*k(x) + p(x).\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41953016 divided by 392?\nAnswer: 107023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**(14\/3)\/(k**(2\/29)\/k*k**(-3)\/k))\/((k\/(k**(2\/3)*k*k))**(-1\/13)*(k**(-2\/5)\/k)**(-2\/101)) assuming k is positive.\nAnswer: k**(332234\/114231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025\/19321 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2383857\/11 + 216715. Suppose -16\/11*z**2 + 14\/11*z**4 - 4\/11*z**3 - 4\/11*z + c*z**5 + 2\/11 = 0. What is z?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-728)\/(-12)*(-6)\/(-4).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2596280.8 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 639250876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 17 + 17475*p - 17 - 17675*p. Let t(w) = -10*w. What is t(l(g))?\nAnswer: 2000*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5722.608 and -0.05.\nAnswer: -5722.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 125435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21201?\nAnswer: 3, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379774031 is divided by 10384?\nAnswer: 10383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 218579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 315 - 320. Is (447\/(-10) + (-1)\/d)*-178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -65. Suppose -s + 0 + n = 0. Suppose 3*f + s = 0, -x + 5*f = -0*f - 8. Sort 2, -3, x, 4 in increasing order.\nAnswer: -3, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51351383?\nAnswer: 419, 122557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*b)*(0 + 9 - 3 - 3 - 2 + 3 + (-3 - 3 + 4)*(-1 - 3 + 5) + (0 + 0 + 2)*(2 - 3 + 3)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3) - (3280\/15)\/4. Let b = 559\/6 + -862\/9. Find the common denominator of b and -4 - 1\/(p\/642).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/9 + 12*u**4 + 1346*u**3\/9 - 336*u**2 + 1568*u\/9 = 0. What is u?\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 + (-6)\/3. Let x = 24 + -769\/32. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z - 2*b - 12, 5*z - 4*b - 33 = 0. Let i(d) = z - 9 + 5*d. List the prime factors of i(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 6. Let m be (-5)\/30 + 47\/(-6). Let a be z(m). Find the first derivative of 6 - 2 - 4*g**a - 3 - g**2 wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 1796648?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1110)\/9*(-6)\/4. Suppose 0 = -4*y + 39 + d. Let u = y + -16. Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b**2 + 2180*b - 14421. Give h(-279).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 3178 - 18850 = 13105. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = o + 3*v, 4*o + 12 + 11 = -v for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(-2 + (sqrt(228) - (sqrt(228) + -1*sqrt(228)*2))\/sqrt(12)*5).\nAnswer: -180*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + -2 + sqrt(3328))**2 - (sqrt(3328) + sqrt(3328)*1 + 4))*-2.\nAnswer: -6655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + 155140054?\nAnswer: 155140014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -697*p + 697*p - 90*p**2 + p + p**2 - p - 1 + 1 - 2*p**2 + 5*p**2 - 4*p**2 + p**2 + (-5 + 0 + 3)*(-p + p**2 + p) - p**2 - p + p.\nAnswer: -92*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 + -0.54. Let w = 0.01 + k. Let q be 8\/(-14)*1\/(-2). Is q less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107333 - 44910. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -23. Put -2, 1, s, 0 in increasing order.\nAnswer: -2, s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/806 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17437 = 42*v - 47285. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*h - 3*s + 13, -4*h - 3*s - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 25*n**3 - 15*n**2 + 85*n - 50.\nAnswer: 5*(n - 5)*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 814698?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 469 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 405*f - 311. Let h(q) = 2*q. What is h(c(d))?\nAnswer: 810*d - 622","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*c + 2021 = -66, 2*b + 3*c = 4135. What is the hundreds digit of 6 - b\/(-6) - 2\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-1)\/(-12))\/(18*328\/(-1107)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8994*n**3 + 3*n - 2*n - 2*n + 1016*n**3.\nAnswer: 10010*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -89\/180930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + -9 + 13 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710442 (base 8) in base 11?\nAnswer: -309644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -4)*(-3 - -2). Let b(i) = 1 + 2*i**3 - 7*i**3 - 1 - 4*i + 6*i**3 - 2*i**2. What is b(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14999848 - 0.15. Round p to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 - 3819515*q**2 - 15278063*q\/2 - 3819516.\nAnswer: (q - 7639032)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and -2.31.\nAnswer: -2.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - 6*(2 + sqrt(1573))) + -5.\nAnswer: -55*sqrt(13) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -105*y - 1. Determine g(1).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n + 51406 = 6*g + 43*n, 0 = -2*g + 5*n + 17091. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12181 divided by 34.\nAnswer: -12181\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6 - 2*a - 1 + 1. Determine j(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + 1.9. Let x = -188.1 - -188. What is the closest to x in s, 3, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (366\/549)\/((-4)\/6)*0. Suppose -4*w - 5*f = 311, 3*f = -3*w - 0*f - 231. Let y = 443\/6 + w. Which is greater: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 9. Let z be 1 + (-5)\/(15\/(-12)). Let h be (3 - 19\/z)*10. What are the prime factors of c(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 times -0.3?\nAnswer: -308.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 16845*g - 15 - 16844*g.\nAnswer: g - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4217 - -7644. Calculate the greatest common factor of 149 and g.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of -2*((-8)\/(-4) + -20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1327 + 1326 - 2653 - 40*w - w**3.\nAnswer: -w**3 - 40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71507.73 decades in months?\nAnswer: 8580927.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 155. Is i less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 14626?\nAnswer: -14626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24148643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -4 (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*5\/((-5)\/(-2)). Let q = 1 - m. Suppose q*k = -k + 12. Solve a - 4*a = 6, k*p - 7 = -a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -24910441.\nAnswer: -31\/24910441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 113.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591194*t**2 + 3653 - 1825 - 1828.\nAnswer: -591194*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -33231*h - 232624. What is z(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170487 and 1853423.\nAnswer: 316935333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k = 4, -4*q - 4*k = -48. What is the third derivative of -q*u**2 + 23*u + 18*u**4 - 23*u wrt u?\nAnswer: 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, h: 2}. What is prob of sequence hvhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:06 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/6 + u. Let z = -16 + 19. Let q(d) = -5*d**2 + 0*d**2 - z*d**2 + 5*d**2. Calculate q(k(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = 7*w. Solve -k - 10 = -2*k - w*j, -3*k + 21 = 3*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -145576599?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 6*s - 11. Let o be (-6)\/10 - (-37)\/(-5). Let f be b(o). Solve f*c + 2*d - 19 = 4, -4*c + 22 = -2*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*u**4 + 59*u + 23*u - 39*u - 82*u - 186*u wrt u.\nAnswer: 444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653020?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(1\/3)*m**5*(m*m**(4\/3))\/(m\/(m*(m*(m*(m*m\/(m*m\/m**(-1\/8)))\/m*m)\/m*m*m*m)\/m*m*m)) assuming m is positive.\nAnswer: m**(103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2146 is divided by 94.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1256*s**3 - 1435*s**3 - 968*s**3 + 2827*s**3.\nAnswer: -832*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlmxd. What is prob of picking 1 m, 1 x, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8.5. Let v = 0.500092 - m. What is v rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 294822859.780424.\nAnswer: -294822859.480424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 2:02 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235.2 - 0.0104.\nAnswer: -235.2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-2) + -19*3619\/(-1463)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1817*i**5 + 1602*i**4 + 145354*i**2 + 11 wrt i.\nAnswer: -109020*i**2 + 38448*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 10*q**2 + 9*q - 15. Does 33 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18456482*j*s - 4152033*j wrt s.\nAnswer: -18456482*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121220 + -11?\nAnswer: -122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -2*h - 5*l, 109 = -2*h + 3*h - 4*l. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(135) - (sqrt(135) - (sqrt(135) - sqrt(135)*-1)))*4)\/(-4*(sqrt(363) + sqrt(363)*1 + (sqrt(147)*-1 - sqrt(3)))).\nAnswer: 6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3236 and 4.\nAnswer: 3236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c - 24. What is q(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*t**4 - 101*t**4 - 8*t**5 - t**5 - 2*t**5 + t**5 + (0*t**4 + t**4 - 3*t**4)*(-t + t + t) - 2*t**5 + 0*t**3 + 0*t**3.\nAnswer: -14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 191*w**2 + w. Suppose 2*t - 5*b = 22, 0*t - t - b - 3 = 0. What is the remainder when z(t) is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*p = -68*p - 3166 + 14730 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 31, -39?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/4)\/((-2)\/8). Suppose -39 = p*x - 174. What is the highest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 46*p**2 - 17*p - 150. What is the tens digit of z(-46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiriiriiiii. Give prob of sequence iir.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2. Let m(o) be the first derivative of -519*o**2\/2 - 850. What is m(j(v))?\nAnswer: -1557*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26\/5, 1\/62, 1\/1110?\nAnswer: 1\/1110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30366820 and 48586912.\nAnswer: 242934560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from wwwwwwwfwwwwwww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1\/3 (c) 32465 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0365872 to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 23107 = 3*j + 23235, -4*g + 101 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077618507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-122341)\/(-114) + -3*(-1)\/(-18) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -846, -2002, -3158, -4314, -5470, -6626?\n\"Answer: -1156*p + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006684 rounded to 7 dps?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*j**3 - 96*j + 100*j**2 + 17*j**3 - 55*j**3.\nAnswer: -4*j*(j - 24)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2697 - 2796. Which is bigger: -124 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -89 (b) -5\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -0.5 (c) -1\/3 (d) 198\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 7. Suppose -37 = -4*u - u + 4*g, 0 = -3*u - 5*g. Let o = u + 0. Suppose o = -2*i + i. Let c(v) = -v - 4. What is i*c(h) - 3*k(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15896, -63613, -143132, -254447, -397552, -572441?\nAnswer: -779108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(784) + sqrt(16))\/(4*sqrt(392) - sqrt(8)).\nAnswer: -4 - 13*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/12 and -25\/8772.\nAnswer: 8772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 20\/13?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b + j, b - j - 1 = -0*j. Let z = 2 + b. Is 8 a factor of 2 + z + -1 - -29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31128?\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1626.6 - 1894. Let o = b - -25. Round o to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z. Let u(f) be the second derivative of 19*f**5\/60 - 55*f**2\/2 + 2*f + 1. Let l(r) be the first derivative of u(r). Determine l(n(o)).\nAnswer: 475*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzqzqzzqqzns. Give prob of sequence zns.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4915*i**2*o**5 - i**2*o + i**2 - 1439*o**2 wrt o?\nAnswer: 294900*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2285035 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let r be h(1). Suppose r*w + 4*i = 26, -5*w - 3*i = -10*w. Solve w*m = m - 4, 0 = 4*t + m + 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -23*m - 4. Let s(f) = 117*f + 3. Is s(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/11, 40\/3, 4\/9 in decreasing order.\nAnswer: 40\/3, 4\/9, -7\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/20*4)\/(11\/2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.0316?\nAnswer: 0.00316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121683 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - w - 25 = 0, -4*w + 0 = 3*n - 15. Solve 2*i + n*d = -6, -4*i - 12 = -3*d - 2*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b5b (base 12) to base 5.\nAnswer: 233232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**8\/96 + 3*r**7\/140 + 19*r**6\/240 - 13*r**5\/120 - r**4\/4 + r**3\/3 - 16*r**2. Determine c so that n(c) = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/12 and -97\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.359 + -0.459. What is the nearest to h in -3\/4, -6, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10140*q + 9289*q - 19403*q.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 28867.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - sqrt(60)\/sqrt(90))\/(sqrt(22)\/sqrt(176))*1)**2.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 0.69, -0.04, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 g, and 1 w when four letters picked without replacement from zziwwzzg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.15796l in millilitres?\nAnswer: 49157.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/68)\/(25\/(-125)). Let l = -15 + 18. Is l greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 2*h + 4. Let k = 17 + -50. Let f = -28 - k. Give i(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - v**2 - 5*v**2)*(5*v - 61*v + 4*v) - 8*v**3 + 11*v**3 + 9*v**3.\nAnswer: 64*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 - 1.2. Let y = v - 1.1. Let d = -6 + 10. Which is the nearest to y? (a) d (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -693 greater than or equal to -323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = q + q + 16, 3*w + 2*q - 5 = 0. Let i(m) = m**3 - 4*m**2 + 5*m - 3. Determine i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) 0.3 (c) -1 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o + 2*c, c = -2*o - 6 - 1. Let k(y) = 51*y - 7. Let m(x) = -28*x. Let a(f) = -k(f) - 2*m(f). Let t(l) = l + 1. Determine o*t(w) + a(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2\/9*f**5 + 0 - 32\/9*f - 20\/9*f**4 - 22\/3*f**3 - 80\/9*f**2 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 3*g**5\/40 - g**4\/8 - 21*g. Let p(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 + 25743*g - 51501. What is m(2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -11010111100?\nAnswer: 11011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -1) + -2 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20\/5483 + -28231847\/32898. Let f = -856 - s. Calculate the common denominator of 6\/(-21) - 641\/(-14) and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 1\/6*x**4 + 0*x**2 + 0*x**3 - 8*x + 0. Let d(u) = -13*u**2. Calculate m(d(o)).\nAnswer: 338*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*l + 13 = 5*l, 5*q + 5*l = -35 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from crqfxlq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -3, -0.53, -5, -2\/99, 16?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 31*d**2 + 52*d - 54*d - 3*d**2 - 2. Let o be r(-1). Suppose -30 - 57 = -3*s - 2*q, q = -s + o. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32205\/(-76))\/((-6)\/24). Solve 0 = 3*t - i + 1692 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 2\/7*a**2 + 2\/35*a**5 - 2\/21*a**4 + 5*a + 0 + 2\/105*a**6 - 2\/147*a**7 - 2\/21*a**3. Factor w(z).\nAnswer: -4*(z - 1)**3*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:58 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 98.6. Let z = -9 - o. Let p = -0.72 + -0.28. Sort z, p, 3 in descending order.\nAnswer: 3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 13*f + 251 = j, -j = -3*f - 244. Calculate the remainder when j is divided by 77.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 > 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 1870?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2011210758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)\/j)\/(((j*(j*(j**3\/j)\/j*j*j)\/j)\/j)\/j*j))\/(j**6\/(((j**(-1\/11)*j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-166\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65c1bc (base 16) to base 3.\nAnswer: -110112210210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3562*h - 51662 = 509*h - 31960 + 81047 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.14 times 3\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**3 + 195*t**3 + 166*t**3.\nAnswer: 381*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7*i + 4*i - 7, -u - 2*i - 18 = 0. Let q be (-1)\/(-2)*u\/6*-3. Let v = 0.509 - 0.009. What is the smallest value in -12, q, v?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 4\/3*a**3 + 33\/14*a**7 + 5\/2*a**2 - 80*a + 0*a**6 + 0*a**4 + 0 + 0*a**5. Find the second derivative of w(n) wrt n.\nAnswer: 1980*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 2\/11 (c) -3\/8 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292257*u - 23*u**3 - 292257*u - 5.\nAnswer: -23*u**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5 = -45. Suppose -2*w + 116 = 102. Let h = w - 7. Solve 5*b = -h*b + y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*r + 187, 3*s - 3*r - 561 = -0*s. What is the highest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25516 + 102815 = 1323*a for a.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29653318 to the nearest integer?\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1. Let h be (1 - 3)*(-42)\/3. Let d be 5*-2*h\/35. Let l be (5\/(-10))\/((-2)\/d). Let p(n) = n - 10. Determine l*p(i) - 18*z(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -836935.\nAnswer: 836940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + l**2 + 3 + (7 - 1 - 4)*(-2*l + 2*l - 2*l**2) - 73*l**2 - 67*l**2 + 208*l**2.\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -174 - 135536?\nAnswer: -135710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48408224 and 36632.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j. Let h(l) = -l**2 - 11. Determine h(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 6*r + 12. Suppose 0 = 2*o - o + r. Suppose 0 = -3*q - 2 + 5. Sort o, q, -1 in descending order.\nAnswer: q, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*f = -5*z - 8, -4*f = -2*z - 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256124669?\nAnswer: 17, 1453, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -389 - -779\/2. Let x be 14\/12 - (-6)\/18. What is the nearest to -0.1 in x, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10970 = -u. Let y = -21863 + 8378. Let x = y + u. Round x to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 31. Let o(t) = 2*t - 15. Let y(p) = 7*o(p) + 3*q(p). Let c be (-10)\/4*6\/(-42)*-14. Give y(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 5*y = -20, p + 5*y = -20. Suppose 0*q + q - 139 = p. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(300))*5*1)**2 - ((sqrt(108)*1 - sqrt(825)\/sqrt(11))*1)**2.\nAnswer: -4000*sqrt(3) + 30397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -4*u + 0 - u**2 + 1\/6*u**3. Determine p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1001971 and 4633?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 104 - 88. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -70. Which is the second smallest value? (a) 1\/5 (b) x (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520798 to the power of 1\/2, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2.1 (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138036 + 94836. What is x rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 261*z.\nAnswer: 3*z*(z - 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 62 + 78 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 55. Let g(y) = -x + 4*y**2 + y**3 + 0*y**3 + 33 - 3*y**2 - 11*y. Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 = 3. Let a be s\/2*17\/85. Which is smaller: -1\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + -8. Let t = a - -31. Calculate the remainder when 46 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 378*b + 2855. Determine j(182).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1, 0.5, -2, 4086, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 5*o**2 - 5*o - 2. Let b = 4 + -8. Let q be t(b). Find the second derivative of -4*k**2 + k + 4*k**2 + 2*k**q wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m - 7*m**2 - 36*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1512) - 6*(sqrt(1512) + (sqrt(1512) - -1*sqrt(1512)))) + (2*sqrt(1512)*-1 - sqrt(1512)))\/(sqrt(12)\/(-1*sqrt(288))*2*2).\nAnswer: 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -w + 14 + 1, 6*j = -3*w + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*t + 2*y = 244*t - 49, 0 = -2*t - 3*y - 0*y - 68 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 342 + -325. Suppose 4*i = -t + 11 - z, t + 3*i = -5. Let j = 217\/9 - 24. Which is the nearest to 6? (a) t (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/129 (b) -0.1 (c) 29 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**2 + 2*i**2)*(-2 - 2 - 3)*(2 - 3 + 0).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 10. Let x be (1 + 0)\/(7\/l). Let i(b) = b**3 - 2*b**2 - 6*b + 2. Determine i(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44966111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 25 + 56 = 6 - 0, 3*j + 8 = -2*z + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 10*w**2 + 22*w + 12. Let n be m(10). Let j = n - 1156\/5. Which is the smallest value? (a) 0.7 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18035 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 - 2)*(-5*q**3 - 2*q**3 + 2*q**3) + 2*q**3 + q - q.\nAnswer: 47*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 - 2*m**2 + 235 + 3*m**4 - 2*m**3 - m - 126 - m**4 as j + v*m + n*m**4 + z*m**2 + g*m**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*x = -366, -3*m - 2*m - 2*x = 610. Let r = -51 - m. Let j = -51 + r. What is the remainder when 38 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7895474 to the power of 1\/2, to the nearest integer?\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from pwp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -69. What is the smallest value in 0.1, q, 16\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2002 + 1996. Let h = 8 + -6. Let s be (6\/15)\/(h\/(-20)). What is the third smallest value in g, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 7, 17, 31, 49?\n\"Answer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*y + 16, -3*y - 6*z + z + 8 = 0. Let c = 9 - y. What is the third derivative of 2*o**c - o**2 - 3*o**3 + 2*o**2 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 826, 3, -0.1, 4\/9, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 159*p**2 + 2025*p - 2187.\nAnswer: 3*(p - 1)*(p + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4882 - -4889. Calculate the highest common factor of m and 3353.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412 and 11548463?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68182 + 34091 - 34*t**5 - t**4 - 3*t**3 + 3170*t**2 + 2228*t**2 + 34091 wrt t.\nAnswer: -2040*t**2 - 24*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l - 20. Suppose -4*u = u + 125. Let d = -15 - u. Calculate the lowest common multiple of l and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2129 - 1852. What is the remainder when c is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/((-360)\/(-243)) - 7. Sort f, 0.157, -0.4 in descending order.\nAnswer: 0.157, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -5, -1, 3 in descending order.\nAnswer: 3, -1, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 2, d: 1, k: 4, x: 1}. What is prob of sequence kd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3263440 and 1130?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 168.1. Let b = n - -70.1. What is the third biggest value in 5\/2, b, 0, 2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16199697 rounded to the nearest 10000?\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 768654 divided by -9?\nAnswer: -85406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25499386 and 308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**5 + 10*b**4 - 14*b**3 - 2*b**2 + 16*b - 13. Let h(v) = -1. Suppose 1 - 41 = -8*i. Let a(r) = i*h(r) - l(r). Let a(u) = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 50. Let d = -17 + m. Calculate the highest common divisor of 110 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 2*c + 3. Suppose 1 = -2*w - 4*z - 5, -4*w - 4*z = 8. Let s be p(w). Solve g = -2*g - s*a - 1, g + 2*a = 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38660?\nAnswer: 2, 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15105 = 13*t - 18214. What are the prime factors of t?\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/33)*b*b)\/b)**(-11) assuming b is positive.\nAnswer: b**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -350. What is the greatest common factor of p and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - j**3 + 25*j**2 + 53*j**2 + 0*j**2 + j - 3*j**3 to l*j**2 + g*j**3 + i + k*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + 42. Suppose -3*v + d = 4*l, 0*l - l - 4*v = -21. Let p = l - 10. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -11) + 12 + -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 34. Let v be (k + (-4)\/3)*3\/2. What is the units digit of 1\/(v\/(-6)) + 23\/(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 71, 103, 147, 203, 271, 351?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4500)\/(-5850))\/((-14)\/26))\/(-1*1\/(-7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-1 - (-5 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2. Let y(p) = -16*p + 5. Let v(r) = -39*r + 10. Let g(a) = 6*v(a) - 13*y(a). Give k(g(x)).\nAnswer: -2028*x**2 - 780*x - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223639873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + (3 - (-312)\/18). Calculate the greatest common factor of 105 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -308 + 241 - (-88 - -9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(76) + (sqrt(76) - (-2*sqrt(76) - sqrt(76) - sqrt(76)))*-4 + -2 + sqrt(76) + 1)**2.\nAnswer: 144*sqrt(19) + 49250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/7 + 146*j**2\/7 + 2140*j\/7 + 7800\/7.\nAnswer: (j + 6)*(j + 10)*(j + 130)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15898940 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 716018323*-0.3\nAnswer: -214805496.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409909440.\nAnswer: 2, 5, 19, 231893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1175*w**2 - 8*w + 409*w**2 - 1528*w**2.\nAnswer: 56*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -35*j**4\/3 - 3*j**3 + 35*j + 1. What is the second derivative of z(k) wrt k?\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -8. Let n = m - -4. Which is the closest to -1? (a) n (b) 2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/18 + -5\/3. Let i = x - -31\/90. Suppose 4*v - 2 = 2. Which is bigger: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4479 - -4377. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -201. Let p be 4 - ((-3306)\/(-26) + -1 - 3). Let h = p + c. Put -2\/5, h, 1\/5 in ascending order.\nAnswer: -2\/5, h, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*p - 246*p + 39 = 0. Let t(x) = x**2 + 5*x + 4. Give t(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + -3 + 273\/21. Calculate the highest common factor of u and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4349*q + 9464*q - 1909*q.\nAnswer: 11904*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 595690862 to the power of 1\/3, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -4 + -1 + 10. Solve -5 = -l*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 11:32 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, f: 2, v: 3, j: 3, r: 1}. What is prob of picking 1 h and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1687.55189 rounded to the nearest ten?\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:18 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 3*q + 24 = 11*l, 2*l + 10 = -q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 507*i - 5. Let c(q) = -7344*q + 72. What is -5*c(f) - 72*h(f)?\nAnswer: 216*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/100*24\/((-20)\/(-5)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80\/17 in 0.459, 0.3, -4\/5?\nAnswer: 0.459","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**2 + 7*p + 10. Suppose 211 + 81 + 29 = 107*m. Let h = 8 + -15. Let n(k) = -4*k**2 + 3*k + 5. Give h*n(t) + m*s(t).\nAnswer: t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + w - w)*(2*w**2 + w**2 + 2*w - w**2) + (28*w + 21*w - 12*w)*(-w**2 + 5 - 5) to s*w + l*w**3 + r + u*w**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3436 by 4.\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-22)\/(-3))\/((-4)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 48, 0, -8 in decreasing order.\nAnswer: 48, 0, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w - 81. Let z be i(5). Is 31 a factor of (z*4\/6)\/(100\/(-55800))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/170325 and 67\/170325.\nAnswer: 170325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -897, -4, 57766 in decreasing order.\nAnswer: 57766, -4, -897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5250)\/2100*(104\/(-5))\/(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-325*x - 76*x + 31*x)*(3*x**3 - x**3 - 3*x**3 + (x**2 + 3*x**2 - 3*x**2)*(7*x - 11*x - 10*x)).\nAnswer: 5550*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -4, -75, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 30. Let j be 3\/t - 46\/(-20). Factor -j + 18\/5*h + 4\/5*h**2 - 18\/5*h**3.\nAnswer: -2*(h - 1)*(h + 1)*(9*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -30*h - 25*h + 126. Calculate the least common multiple of 2754 and h.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -377*f + 177. Let t be k(0). Solve -30*b = t - 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 8*q - p + 7, q - 3*p + 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310366 and 266028.\nAnswer: 1862196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12 - (-35)\/(-42). Let b be 0\/(-2 + (-4)\/r). Which is bigger: -2\/29 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 22*z**2 + 76*z + 6. Calculate the lowest common multiple of u(-7) and 40.\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -214. Calculate the remainder when 10 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/8 (b) -2438 (c) -2\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.638 times -0.34259\nAnswer: 0.21857242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 3*z - 2. Let g be l(-2). Suppose -2*q + 7 = 3*k, 8 = 2*q + 4*k + 2. Put g, q, 4 in descending order.\nAnswer: q, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341 by 5.\nAnswer: 341\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 284828 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: What is 975962 to the power of 1\/2, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/4 + j**2 - 2*j. What is the units digit of a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**3 - 76*a**3 - 176*a**3.\nAnswer: -271*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 32.2*-0.55028\nAnswer: -17.719016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltwrtwrrvruullv. What is prob of sequence ltll?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 2*b**2 - 3*b + 3. What is y(6)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3592 * -4.\nAnswer: -14368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 + -333. Let y = -213 - o. Solve -4*b - 2*x = 0, 7*b = y*b + 5*x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 1\/4*u**4 + 10\/3*u**3 - 5*u + 118 - 1\/2*u**2. What is h(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 9) + 2 - (23 + -30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/5 - 51*s**2\/5 + 42*s\/5 + 96\/5.\nAnswer: 3*(s - 16)*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1113 and 636?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5799808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -46 (b) -0.1 (c) -1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -2. Let g = 15 - 7. Let n be (-11)\/((-44)\/24) + -1. Solve g*f - 3*f - 3*q - d = 0, n*f = -q + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1672601270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26\/(-65))\/(3\/5 + 2\/(-6)). What is the closest to -0.1 in 10, -54, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/3 + (-6)\/2. Let y(r) = -8*r**2 - 5*r - 5. Let v(s) = 20*s**2 + 12*s + 12. Let p(j) = u*y(j) - 5*v(j). Let w(z) = -z. Determine p(w(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 9*t + 18. Let a be q(10). Suppose 2*i = -a + 12. Suppose 0*f + f = l + i, -l + 4 = -3*f. Sort f, 3, -2, 6 in increasing order.\nAnswer: f, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3163.\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 75, 172, 307?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4 - 611*b**3 - 6827*b**2 - 9357*b + 16794 = 0. What is b?\nAnswer: -9, -3, 1, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5*z - 733 = -717, 2*z = 3*i - 37 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhngpdbg. What is prob of sequence hbnp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10603691 and 16892?\nAnswer: 10620583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0241013686 to five decimal places.\nAnswer: 0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 18 - 22 = 0. Let p = -10 + 9. What is the closest to p in 14, n, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58*(-1)\/2 + -1. Let u = -19 + j. Let s be (7\/u - (-43)\/7) + -1. Sort 3, s, -1.\nAnswer: -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -897, -3098, -6555, -11232, -17093, -24102, -32223, -41420?\nAnswer: -51657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7477 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3371, 6, -0.4, 0.5 in decreasing order.\nAnswer: 6, 0.5, -0.4, -3371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -504*a**5 + 856*a**4 + 12933*a + 2195?\nAnswer: -10080*a**3 + 10272*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468))*1.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 2*i - 114*i**3 - 4*i - 422*i**3 to o*i**3 + x + b*i + s*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4440243 is divided by 2220085?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - l + 13 = 0, 0*d - 17 = -3*d - 2*l. Let k = d + 3. Solve 2*x = 5*x - k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5103901319 to the power of 1\/2, to the nearest integer?\nAnswer: 71442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -6. Suppose 4 = -3*t + r. Let k be t\/(-6) + 168\/(-36). What is the third smallest value in k, 0.2, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 46. Let x(f) = 2*f - 31. Let q(d) = 5*v(d) - 7*x(d). Let y be q(12). Let o be (-1)\/(-23*(-2)\/4). Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -473, 3\/5, 8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -835 + 840. Solve 0 = 2*g + 6, 0 = -0*k + m*k - 2*g - 31 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-4))\/d*d**4)\/((d\/(d\/d**3))\/(d**(-2)\/d*d)))\/(d**(3\/5)*d*d**(1\/9)*d\/(d*(d**(-5)*d)\/d)*d\/(d*d*d**(2\/7))) assuming d is positive.\nAnswer: d**(-2969\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {k: 4, j: 4, q: 8, w: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/((-144)\/(-10)))\/((-2)\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*u + 0)*(-4*u**2 - 2*u + 2*u) + 21*u**3 - 3*u**2 + 4*u**2 - 19*u**3.\nAnswer: 10*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f - 67200 = 41*f. Suppose 0 = -24*i + 8*i - 32. Let b be (490\/63)\/(i\/(-60))*f. What is b rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) 2 (b) 16 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231 + 2579\/11. Let u = 30297\/22 - 76763\/77. Let a = 382 - u. Find the common denominator of q and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggt when three letters picked without replacement from {g: 2, t: 1, v: 2, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/4 + (-1)\/(-4). Let p = u - -3. Let c = -106 + 108. Solve -c*r - 6 = -p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13037973, -13037969, -13037963, -13037955, -13037945, -13037933, -13037919?\nAnswer: -13037903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**4 - 3*o**4 - 3*o**4)*(-3*o - 5*o + o) - o**5 - 3*o**5 - o**5.\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) 0 (c) 2\/1015 (d) 3 (e) 0.1 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86233*l**2 + 21563*l**2 + 21561*l**2 - 12 + 21562*l**2 + 12 + 21545*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/4)\/2*(-2)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1611 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -73, -84, -97?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 88 + 40 + 43 - 91*c + 47*c as j + q*c and give q.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3645683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-5*n**4 - 14*n**4 + 23*n**4 + (-n**2 - 4*n**2 + 4*n**2)*(n**2 - 1 + 1) - n**4 + 0*n**4 + 3*n**4).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o + 73*o = -11. Suppose 9*p = o*p - 12. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 4*i - 3*i)*(2 - 3 + 0)*(36*i - 5*i**3 - 36*i) in the form s*i**4 + w*i**3 + h*i**2 + m*i + j and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -142*a + 16. Let q(j) = -27*j + 3. Let x(f) = 11*q(f) - 2*s(f). Suppose 3*r - 11 = 2*t - 4*t, 4*t + 5*r = 23. Let h = -6 + t. What is x(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 315 - 22321?\nAnswer: -22003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109589.\nAnswer: 109589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n = -53*n + 180 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7487 is divided by 125.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.691 - -0.591. Which is the second smallest value? (a) -11 (b) z (c) 1 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -84953, -84387, -83821, -83255, -82689, -82123?\n\"Answer: 566*y - 85519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92\/19*m**3 - 292\/19*m - 288\/19*m**2 - 98\/19 + 2\/19*m**4.\nAnswer: 2*(m - 49)*(m + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5\/3 + 2044*j**4\/3 + 2042*j**3\/3 = 0?\nAnswer: -1021, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/((-140)\/75))\/((-141)\/94)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {z: 1, m: 1, o: 1, v: 7, e: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - y)*(101 - 51 - 49 + 18*y).\nAnswer: 54*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -256*v + 758. Calculate w(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16772.511936 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5))**(-2\/9))**(3\/2)*(m**0)**(-2\/3)*(m**(3\/11)*m)\/m**(1\/5) assuming m is positive.\nAnswer: m**(31\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1478*q = -59*q + 489*q + 110664 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -193\/26 < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -4.5?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12566 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*((sqrt(1216) + -5)*6)**2*5 + -3).\nAnswer: -86400*sqrt(19) + 1340298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.15 - -0.15. Let v = d - 13.3. Is v greater than -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -546, -590, -480, -216, 202?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 3. Suppose 3*x - 282 = x. Let t = x - 51. What is the highest common factor of j and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*1650\/(-3465).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 404, 537, 786, 1187, 1776, 2589, 3662?\nAnswer: 5031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waa when three letters picked without replacement from {a: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 + 6*y**2 + 13*y**2 - 25*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/15 and 19\/423.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -7 + 8 - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -523521*l + 69 - 22*l**3 + 523521*l as n*l + d*l**3 + f + y*l**2 and give f.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1425)\/sqrt(3) - sqrt(19)) + (sqrt(19) - (2 + sqrt(19)))*3)**2 - (-4*1*sqrt(133))\/(sqrt(7) - 2*(sqrt(112) + sqrt(7)))).\nAnswer: -1744*sqrt(19)\/9 + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*s + 20*s - 32*s + 3 - 4 to the form h*s + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + j - 1. Let n(p) = 3*p**2 - 6*p + 6. Suppose -26 = -6*l + 32*l. Let v(w) = l*n(w) - 6*k(w). Let z(u) = -21*u. Determine z(v(b)).\nAnswer: -63*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71331, -143096, -214861, -286626?\nAnswer: -358391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38484233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 8 + 8.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Let w = t - 3. Let v = 3388\/5 + -678. Which is the nearest to v? (a) -0.4 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 3*n + 5*n)*(-3 + 3 - n + 3*n + 0*n + 0*n + 0*n - 3*n + 5*n + (2 + 1 - 1)*(2*n - n + 0*n) + 2*n - n + n) in the form i + y*n + p*n**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 2*r**3 + r**3)*(3*r - 5*r + 3*r) + (9*r**3 + 52*r**2 - 52*r**2)*(r - 2*r - 4*r).\nAnswer: -47*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osssssssosooo. Give prob of sequence sos.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 4, 175 in decreasing order.\nAnswer: 175, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9984)\/(-351))\/(-64)*-2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**14\/n)\/(n*n**(-9)))\/((n**(-11\/3)\/n)\/(n*n\/n**17)))**(2\/93) assuming n is positive.\nAnswer: n**(64\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8388476 divided by -68758.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(2*sqrt(1700))**2.\nAnswer: -13600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-13\/2)*z*z**(-10) assuming z is positive.\nAnswer: z**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*s**3 + 81*s**2.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20500413 (base 8) to base 5.\nAnswer: -2103432121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 188*c - 12264786 - 96511450. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141253?\nAnswer: 7, 17, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/72 and -83\/1970304.\nAnswer: 5910912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 182 = 3*f, -5*y + 0*y = 4*f - 409. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*g - 30 = 0, g + 1 - 10 = 4*o. Let h = -29.3 + 29.2. Which is the nearest to 0.04? (a) 2\/5 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + u)*(5*u**3 - 218*u**3 - 424*u**3).\nAnswer: -637*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 1. Let v = 19 - 15. Let x = v - 4.4. What is the nearest to 2 in 1, x, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402*79.4.\nAnswer: 31918.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (-4)\/(-2 - 2) - -308. Let b = -102 + r. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/7)\/((r\/(r**5\/r))\/r*r))\/(r\/r**3*r*r\/(r*r\/((r*r\/(r**3\/r)*r)\/r))) assuming r is positive.\nAnswer: r**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 23325456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 240856 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -327 - -329. Does 40 divide (-6 + 11 - 245)*(-13)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*p = 24, 2*p - 4 = -5*y + 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 + 60. Let g = 21 - z. List the prime factors of g.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**2 - 193*a + 253. Let o be l(20). Put -37, 7, o in decreasing order.\nAnswer: 7, o, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 51.\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h**3 - 23*h**2 - 71*h - 210. What is j(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/621*3840\/(-4480).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 1, y: 1, b: 2, l: 2}. What is prob of sequence lwl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}