diff --git "a/data/dm_maths/full_data/1639_11255.jsonl" "b/data/dm_maths/full_data/1639_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1639_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 243779201?\nAnswer: 17, 14339953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - 36 - (17 + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3162335 (base 7) to base 9.\nAnswer: -646128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.2, -2, -31.\nAnswer: -31, -9.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h**2 + 7*h + 4. What is l(3)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 84*d + 583. Give v(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 1. Let n be z(0). Let i(r) = -3 - 4 + 0 + n - 6*r. Let y be i(-6). Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -482 (base 14) in base 2?\nAnswer: -1110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1402557, 2805115, 4207673, 5610231, 7012789, 8415347?\nAnswer: 9817905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/3 + 38*x**3 + 1444*x**2 + 54872*x\/3 = 0. What is x?\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*x**3 + 141060*x**2 + 394527*x + 276066.\nAnswer: 3*(x + 1878)*(5*x + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 544 + 154 = -65*b + 25*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 80 = 4*v. Let t = -18 + v. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287106728 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/24005 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*l - 470\/3 + 2\/3*l**2 = 0. What is l?\nAnswer: -1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639811251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113 - 2 + 116 + 1762*v - 1 + v + 1 + (-2 - 1 + 2)*(-5 + 5 - 2*v) to j*v + g and give j.\nAnswer: 1765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 60*c**2 + 4 + 61*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.32 + 0.18. Let g = j + 0.07. Let m = 3.07 + g. Which is the second biggest value? (a) 2\/9 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*p - 522*p - 1185*p - 712*p - 475*p.\nAnswer: -2516*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51427452647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c44c (base 15) in base 2?\nAnswer: -101111001101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-47)*j**11\/(j*j*j*j\/j**(-4\/11)*j) assuming j is positive.\nAnswer: j**(62\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:26 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 - 1. Let f(d) = -d**3 + 2*d**2 - d + 3. Let m(i) = -3*i**3 + 5*i**2 - 3*i + 8. Let o(p) = 8*f(p) - 3*m(p). Let h be o(-1). Give z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 378*r**3 + 5 + 76 + 81 + 47 wrt r.\nAnswer: 1134*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 2*i + 2*i + (-12 + 1 + 7)*(4*i - 3*i - 3*i) + (2 + 0 + 0)*(12*i - 27*i + 66*i).\nAnswer: 115*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 78 = -2*b, -6*b - 138 = -2*q - b. Let z = q + -38. What is the closest to -3 in z, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151328156 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24087 - 94075.\nAnswer: -69988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/77019240 and 23\/270.\nAnswer: 693173160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32338, -32342, -32356, -32386, -32438, -32518, -32632, -32786?\n\"Answer: -a**3 + a**2 - 32338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 385611248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -23*d + 3. Suppose 3*j + n - 14 = 0, -3*n + 0 = -6. Let q be x(j). Let c = 143 + q. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263454651 + 18894676 = 4*a - 5*j, -3*a = j + 183420005. Round a to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2384.7 - -2385.7. Suppose 5*y + 3*j = -8, 4*j = 5*y + 20 + 16. Which is the second biggest value? (a) r (b) y (c) -0.5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 27*i - 38 = 0, -796*s + 6 = -795*s - 5*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 + 23*s - 91. What is the hundreds digit of g(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.78592mm to nanometers.\nAnswer: 785920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*l = 2*x - 3, x - 5 = -5*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*sqrt(126)\/sqrt(2))\/(sqrt(81) + sqrt(81)*-1 + sqrt(81)) - (1*sqrt(1372))\/(sqrt(32)\/sqrt(32))).\nAnswer: 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*m + 15 = -9*b, -5*m = 3*b + 22. Let a be (-9)\/4 - b\/(-4). Let y be (0 - a) + 4\/(-2). Solve v - 5 + 1 = y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 8. Let s be t(0). Let d be (s\/(-2))\/(1\/2). Solve 3*v - 25 = d*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16*2\/(-10) - (-11 - 54\/(-5)). Sort u, 2, 167.\nAnswer: u, 2, 167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -210016007\nAnswer: -210016007.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3 + 2*m**2 - 15*m. Let d(g) = 2*g**3 + g**2 - 7*g. Give -13*d(k) + 6*y(k).\nAnswer: 4*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 6*a**2 - 4*a. Let d be n(5). Suppose 0 = -x + 6*x + d*l - 5, 3*x + 1 = -5*l. Suppose -x*j = -51 - 78. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f**2 + f)*(2 + 0 - 6*f + 4*f).\nAnswer: 2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*y = -12, -3 - 5 = -3*j - 2*y. Suppose j = -5*i + i + 12. Solve 2*s + i = z, 3*s + 3 = -5*z - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 9*j**2 - 6*j - 13. Let v be p(8). Suppose 3*h = -8 + 2. Let n be 18\/4 + 1\/h. Solve 5*g - v*i + 6 = -13, n*i = 3*g + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188*u**4 - 112*u**4 + 183*u**4 + (2*u**2 - u**2 + 0*u**2)*(-182 + 182 + 25*u**2) to the form w*u + n + p*u**3 + s*u**2 + y*u**4 and give y.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - 8 - 7\/12. Let x = -1\/12 - j. Suppose 0 - x*t**4 + t + 2*t**3 - 5\/2*t**2 = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(8\/3)*j**(-1\/2)\/j assuming j is positive.\nAnswer: j**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19337010?\nAnswer: 2, 3, 5, 7, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*l + 631*l + 75*l**3 - 536*l**3.\nAnswer: -461*l**3 + 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.44 + -0.04. Let k = -2.4 + a. Put -3, 2\/9, k in descending order.\nAnswer: k, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**2 + u**2)*(3 - 2 + 2) + u**2 - 2*u**2 + 4*u**2 - 3 - 2 + 3 + 2*u**2 + 1 - 1 - u**2.\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3 - (-4 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*d + 13, 5*d = -j + 4*j + 16. Let s = 327 + -72. Suppose -3*r + 8*r - s = 0. Calculate the greatest common divisor of j and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022211020 + 20?\nAnswer: 2022211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16040*a**4 - 67*a**3 + 77819141 wrt a?\nAnswer: -64160*a**3 - 201*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 2628267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 352 - 351.8. Put -3, d, 33 in increasing order.\nAnswer: -3, d, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 29 = 4*m, -m - m + 2*q = 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4507 + 4612 - 46196\/440?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -13. Suppose t - d*t = -84. What is the remainder when (-14)\/21*(-1 + (-314)\/4) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2 and 157\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9520*w + 10238*w - 19762*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 38 - -10 - (9 - -26 - 11)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-30)*(0 + (-15)\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) 132039 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*u + 1. What is the third derivative of -i**2 + 4*i**2 - 3*i**u + i**5 - i**2 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u - 14 = -2*t, -2*u - 36 = -5*t. Let j = t - 4. Suppose 20 = -j*i - i. What is i rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9*f - 25 = 0. Let n(x) = -14*x**3 + 12*x**2 - 35*x + 5. Let k(j) = -5*j**3 + 4*j**2 - 12*j + 2. Let l(r) = -17*k(r) + 6*n(r). Give l(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*h - 43, 2*d = -3*h - 0*h + 66. Suppose 3*y - h - 16 = 0. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 7:02 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163536 is divided by 27251.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 9*n**2 + 5*n - 2*n**4 - 26*n**3 + 15*n**3 + 14*n**3 to the form w*n**2 + p + z*n**3 + t*n + m*n**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -108, -170, -234, -300?\n\"Answer: -c**2 - 57*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 4*p**2 - 5*p - 7. Determine q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -246 and 0.1.\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -396\/5*s + 13068\/5 + 3\/5*s**2 = 0.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b*b\/(b*b**8\/b*b)*b)\/b)*b)\/b)\/b)\/b*b\/(b*b**(-5))*b*(b**3\/b)**(16\/11) assuming b is positive.\nAnswer: b**(175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 72. Let f be o(-12). Suppose -f*g - 19 = -85*g. Find the common denominator of g and 0 - 1 - (-73)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27777 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 183*k**3 + 30021*k**2 - 59280*k - 2988 = 0.\nAnswer: -166, -3\/61, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 7*h**2 + 2*h - 10. Let z be i(7). Suppose -z = -g - 2. Suppose 5*l - g*l = 21. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0303 * -0.3141\nAnswer: -0.00951723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -42.927. Let a = -0.173 + u. What is the fourth biggest value in 7\/4, -3, 3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 7, n: 1, u: 3}. What is prob of picking 1 u and 3 k?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/4815642 and 163\/90012.\nAnswer: 9631284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 68*l + 1592. Calculate h(-24).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44288*o**4 + 76897 wrt o?\nAnswer: -177152*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 364428 and 318?\nAnswer: 364428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*3 - (sqrt(76) + 0) - (sqrt(152)*1*3)\/(((sqrt(48) - sqrt(768)) + sqrt(48))\/sqrt(6)).\nAnswer: 23*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -5*u + 5, -3709*y + 3745*y - u + 535 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 538337 or 538345?\nAnswer: 538345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106609*j**4 + 31076 wrt j.\nAnswer: -426436*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, w - v = -5*v + 150. Suppose 0 = -4*t - 5*c - 288, -2*t + 0*t - c - w = 0. Let i = 134 + t. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3356 or -3358?\nAnswer: -3356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10683 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1895 = -36*x + 40*x - 138*x - 3331 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 167 (b) -0.4 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63131*a**4 - 63133*a**4 + 2*a + 27*a**2 - 30*a**2 + 608*a**3 to r + k*a**3 + b*a**4 + c*a**2 + j*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 194006*j + 4074577. Give g(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**2*y**2 - 50*q**2*y - q - 13*y**2 - 87*y wrt q.\nAnswer: -8*q*y**2 - 100*q*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 82, 44, -30, -152, -334?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2302, 533, -2414, -6539, -11842, -18323?\nAnswer: -25982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-2 + 1)) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 515782 - 219693 = -53607. List the prime factors of p.\nAnswer: 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/20)\/(1\/(-5)). Suppose 0*y = 2*y + k. Let c be 1*3 - (7 + y). Is 1 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*y + 98 - 22 = 0, 5*f + 165 = y. Let q = f - -44. Calculate the greatest common factor of 60 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 1a179?\nAnswer: -1a178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100 - -11100010?\nAnswer: 100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(4)*-4) + (sqrt(20) - (0 + sqrt(320))))*5)**2.\nAnswer: 21125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 372553\/7 - 53223. Let p = -1471577\/973308 + 1\/34761. What is the common denominator of w and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.125904 + -134.874786. Let w = b - -135. 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: Convert 0.9904514 seconds to milliseconds.\nAnswer: 990.4514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*o = 230. Suppose 0 = -7*d + 2*d + 240. Suppose -4*r + 0*r = -d. What is the remainder when o is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 28 = -11*w. Suppose -c = -w*k + 196, 4*k - 394 - 186 = 3*c. Let i = c + 294. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 - 22*h**2 - 640*h - 1694. Determine u(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 1, u: 4, x: 8}. Give prob of picking 2 u and 1 g.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 2*r**2 - 2*r - 2. Let h be p(3). Let k(q) = q**2 + 17*q + 2. Let v be k(-17). Sort h, -15, v in ascending order.\nAnswer: -15, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 1. Let k be m(-1). Let y be (-16 + 21)\/(-1 + 0) - 0. Sort k, 0, y in increasing order.\nAnswer: y, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1011101111110?\nAnswer: -1011110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -1 - (5 + 0). Let r(v) = -v + 1. Let p be r(6). Let g = d - p. Solve -2*c + g = 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 65*(-1)\/(-20) - 1\/4. Solve g = 7*r + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 5:50 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 242, 458, 650, 806, 914, 962, 938, 830?\n\"Answer: -2*l**3 + 230*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnd when three letters picked without replacement from {n: 1, h: 8, w: 1, d: 9}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19798101.\nAnswer: 3, 23, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)**43*z**(-6)\/z**(-4))**(1\/12) assuming z is positive.\nAnswer: z**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4554 and 4554?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/528*11\/(66\/20). Do l and 13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/4)*n)**47*n*n**(2\/5)*n**(-4))\/(n**1\/(n*n\/(n**(1\/3)*n*n))*n*n**(-1\/2)*n**(-3)\/n) assuming n is positive.\nAnswer: n**(6319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + 187 + 0 + 1 + -30.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 + 4 = u, -2*v + 28 = 3*u. Let n = 24 - u. Calculate the remainder when 23 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2213 (base 4) to base 9.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.6039*-0.2\nAnswer: 0.32078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12 = p, 3*p - 2*n - 12 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 1434660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6797 + 110939 = 2*v, 2*v + 5*m - 104190 = 0. What is v rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/13538 and -83\/553124.\nAnswer: 3871868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*o + 6, 2*v + 7 = -2*o + 1. Let a(g) = -g**3 - 4*g**2 + 3*g + 5. Let r be a(-5). Suppose -4*x = -r - 5. Solve v*h - x = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15931*s**3 + 1487*s + 2.\nAnswer: -95586*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -253 - 14?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 12*r - 28. Let m be d(-12). Let a = m + 28. Suppose -j - 4*s + 35 = a, 13 = j - 2*s - 22. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 11:14 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 85*g**3 + 4*g - 168. Let c(n) = -n. Let m = -772 + 773. Let s(d) = m*u(d) + 5*c(d). Differentiate s(j) wrt j.\nAnswer: 255*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001083694 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 24. Let z be d(-9). Let k be (-7*z + -2)\/1. Let a = 27 + k. Solve -5*v = a*i + 41, 4*i + 21 = v - 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 1, k: 1, a: 1, d: 1, c: 1}. What is prob of sequence ca?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**4*w**3 - 95*h**4 - 136*h**2 + 5*w**3 - w wrt h?\nAnswer: -144*h*w**3 - 2280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and -121?\nAnswer: 121.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24857 by 135.\nAnswer: -24857\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 + 0)*(p**2 + 0*p**2 - 3*p**2) + p**2 + p**2 - p**2 + 0 + 0 - p**2)*(4*p - 7*p - 2*p) as k*p**3 + s + j*p + r*p**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/230435800?\nAnswer: 1\/230435800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5677 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w**2 - w + 5. Let r(q) = 7*q**2 + q - 5. Let x(s) = -7*r(s) - 6*z(s). Suppose 0 = m + 4*j - 12, 0 = -m + 3*m + 5*j - 15. Give x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -132?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 6063498?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 7. Let z be m(5). Solve z*d + 4 - 6 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3545178 and 48048.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12744 and 2950?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13218195037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 50005*h**2 + 56513*h**2 - 34518*h**2. Let g = 1 - -4. Let n be a(g). Round n to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (9 + (-7 - (-2 + 5)) + 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 87353 + 7703 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*u + 2*x + 13, 2*u + 2*x - 8 = 0. Let t = -2 - u. Let k = t + 18. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804257517.\nAnswer: 3, 7, 19, 41, 211, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/63)\/(((-100)\/(-5))\/5))\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -5*o**3\/6 - 69*o**2\/2 + 47*o. Let t be m(-14). What is the highest common factor of t and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 22. Let o = -89824 - -89834.00088. Let w = o + r. Round w to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -4, 59, 2, 362, 5, 4 in descending order.\nAnswer: 362, 59, 5, 4, 2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 697 divide 961163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*i - 2*i = 0. What is the biggest value in -1, -0.1, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = -s. Suppose 1 = s*d - 19. Suppose 12 = d*g - 28. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 1 + 4. Let j be 1*i*(-1)\/(-7). Let g = -38.1 + 38. Which is the fourth biggest value? (a) -1\/8 (b) g (c) -1\/12 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*l - 150 = 0, -2*m - 5*l + 121 = 2*m. What is the highest common factor of 319 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 15*y - 36. Let h be 99\/(-63)*(-9 + 2). Give t(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(17)*-2)**2 - (sqrt(17) - sqrt(102)\/sqrt(54))).\nAnswer: -335 - 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 71*g**2 + 18 + 72*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1091.795765 rounded to the nearest ten?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1230950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -3*c**5\/20 + c**4\/3 + 5*c**3\/6 + c**2 - 19*c. Is y(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*16\/(-24)*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a*d**3 + 579*a*d*f - 32*a*f**2 + 2372*a*f - 4038*d**3*f**2 - 44*d**2*f**2 wrt f?\nAnswer: -64*a - 8076*d**3 - 88*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 165 + -8c?\nAnswer: d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 4*x**2 - 2*x - 1. Let a = -90 - -60. Let b = a + 27. Give d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 1660796988012*g**2 - 5*g**3 - 1660796988012*g**2 + 7*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17052965 is divided by 246?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 616 and 12?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2189, 2190, 2191, 2192?\nAnswer: 2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8671, -8667, -8661, -8653, -8643, -8631?\n\"Answer: y**2 + y - 8673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-106)\/3 - (-4)\/(-6). Let l be (-48)\/h*(-30)\/(-4). Suppose 0 = 11*x - l*x - 13. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -193 in -3\/5, -9, -4, 3\/4, 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 2*k**4 + 4*k**3 + 15 + k**3 - 4*k**2 - 15 to the form i*k**3 + d*k + w*k**2 + r + t*k**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/81 - 295\/567. What is the second biggest value in 4, w, 0.1, 30\/11?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 9900226*i**2 - 4*i**3 - 9901819*i**2 - 2*i**4 to l*i**2 + k*i**3 + d + b*i**4 + a*i and give l.\nAnswer: -1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 - (-158 - (158 - 126))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -476 divided by 117\nAnswer: -476\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1697215kg?\nAnswer: 169.7215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 28*p**5 + 1168*p**4 + 784*p**3 - 1496*p**2 - 812*p + 328 = 0.\nAnswer: -41, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2. Let s(g) = -12*g**2. Determine -8*j(a) - 3*s(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7602\/(-471324)*(-6)\/(-2).\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1669*t + 1598*t + 467819. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 x when three letters picked without replacement from {x: 2, o: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 11:08 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/6*3\/(-4). Let l(w) be the second derivative of 5\/2*w**x + 0 - 1\/6*w**3 + 2*w. What is l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2002 + -1957. What is the remainder when 10\/35 - (-1251)\/7 is divided by c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -85, -151, -219, -289, -361, -435?\n\"Answer: -f**2 - 61*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.9 - 8.9. Sort 1\/3, 1, 0.4, f.\nAnswer: 1\/3, 0.4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-9))\/(98\/(-63))*63.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28 + (-4)\/2 + -2. Suppose 0 = f - 4*b + 3 + r, -5*f + 4*b = 55. Let c = 12 + f. Solve -4*h = -c*l - 19, -h - l = h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-150)\/12))\/(2\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 135*r - 111*r. Let g(m) = m**3 + 5*m**2 - 8*m - 46. Calculate g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 2, j: 8, o: 4}. What is prob of sequence brjo?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8704, 8629, 8554, 8479, 8404, 8329?\n\"Answer: -75*a + 8779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 5, s: 7, i: 2, m: 1}. What is prob of picking 1 m and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 14*v**2 - 40*v - 18. Let t be s(6). What is the highest common divisor of 1190 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4\/3 - 40*n**3\/3 + 8*n**2\/3 + 160*n\/3 = 0.\nAnswer: -20, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 3\/4 - (-180)\/1152 and 115\/42.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 328 - 326. Let w(v) = -1511*v + x + 1498*v - 2. Let o(y) be the second derivative of -y**3 + 6*y. Determine w(o(f)).\nAnswer: 78*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 15. Let n be i(7). Let u be 27369\/19980 + 2\/n. Let f = -1\/74 - u. Find the common denominator of f and 77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-183)\/(-36) - 9\/(-54))*(-3 + 7). Solve 8 = -o + 4*t, -3*o + a = 4*t - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 17 = -3*m, 2*j + 24 = 167*m - 163*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 8 = -7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/7 - (-2)\/(-7). Let r be (-1)\/(-4) + h\/4. Which is bigger: -2\/13 or r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + c = -10, c - 18 = -5*v + v. What is the units digit of (v\/(-10))\/((-1)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + 88485\/176850. Let x = 18997\/5895 - c. Calculate the common denominator of -52\/19 and x.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 8. Determine g(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 102121523 (base 6) to base 14\nAnswer: 346079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 18995 = 545. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - 90.3. Let p = -26 - -39. Let i = -10 + p. Sort 1, a, i in increasing order.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1786 + -4352457628.\nAnswer: -4352455842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 5*z - 16, -90 = -3*v - z. What is the greatest common factor of 589 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 7*u - 2, 4*u = 4*v + 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 125*a + 32. Suppose 18*w = 22 + 14. What are the prime factors of c(w)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*3\/120*(-112)\/(-119)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9811 - -17249. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287\/6 - -142\/3. What is the third smallest value in -126, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2642, -5280, -7918, -10556, -13194, -15832?\n\"Answer: -2638*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**3*x**2 + 1293*c**2*x**2 + 99*x**2 + 3*x - 4 wrt c?\nAnswer: 12*c**2*x**2 + 2586*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 145*f + 1. Let o(b) = 2*b. Give t(o(i)).\nAnswer: 290*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 12 = 2*o. Let a(p) = -p**3 + 4*p**2 - p - 4. Let h be a(o). Find z, given that 0 + 1\/3*z**3 + 0*z + 2\/3*z**h = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j\/(j*((j*j*j*j**(8\/3)*j*j*j)\/j*j)\/j*j))\/j))\/(j**(2\/61)*j*j))\/(j**(1\/12)\/(j**28*j)) assuming j is positive.\nAnswer: j**(26755\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 67 + 363 = 0. Suppose -87*t - 26 = -v*t. Let m be (6\/4)\/((-3)\/6). Put -2, m, t in ascending order.\nAnswer: t, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182333334?\nAnswer: 2, 3, 5297, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6722*z - 63. Let s be u(-10). Suppose 0 = 17*k - s - 24762. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 10) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4 = -r + 6, 0 = -3*r - 4*l + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let j(b) = -b. Let u(m) = j(m) + y(m). Let p(k) = k**2 - k. Suppose d - 2*v - 13 + 5 = 0, 3*v = 3*d - 18. Determine d*u(w) + 4*p(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(-18549 + 1412 - 3547 - 1864)*(-5*t + 3*t - t) to i*t + m and give i.\nAnswer: -67644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1134.907 + -1138. Let o = w - -8.052. Let x = o - 4.9. What is x rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 22 - v - 20 as a*v + o and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + (-78851)\/(-3). Let o = 55283 - d. Round o to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.35 - -10. Let p = v + 0.3. Let t = p + -0.29. What is t rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1679*q - 1604*q = -791*q + 1409*q + 54614 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -22\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 1306 - 203. Let b = q + -641. What are the prime factors of b?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1144\/1287)\/((3\/(-1))\/(54\/(-24)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4087*q - 4213*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5571, 43996, 147865, 349764, 682279?\n\"Answer: 5431*l**3 + 136*l**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2176978926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d + 15812*d + 9325*d.\nAnswer: 25079*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(19) + 0)*-1 + ((1 + sqrt(19))*2)**2).\nAnswer: -80 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 45 + 0*w**2 - 5\/3*w**3 + 31\/4*w**4 + 0*w + 1\/5*w**5. What is the third derivative of y(n) wrt n?\nAnswer: 24*n + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, 0.4, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -11*j + 8. Suppose -4*p + 8 = d, -2*d - j = -0*p - p. Solve -k = k + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 105. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**2 - 4*z + 2*z + 59 - 59 + 3*z.\nAnswer: 14*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*j**2 + 45*j**2 + 104*j**2 - 27*j**2 as w*j + d*j**2 + r and give d.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-18 - (14 + -66))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1652 - 1648. Which is the second biggest value? (a) -0.13 (b) l (c) -10 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p - s + 6, -4*p = -3*s - 14. Find the first derivative of -2*y - 4*y + y + p*y + 7 wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 + x - x - 31*x**4 + 97*x**4 + 4*x**4 + (-2*x**2 + 0*x**2 + x**2)*(1 - 1 - x**2) to the form g*x + k*x**4 + h*x**3 + j*x**2 + o and give k.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Suppose -2*j - 3 = w, -5*j - g = w + 3. Let z = 12 - 8. Put z, j, 1 in decreasing order.\nAnswer: z, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26505*c - 47360 = -27097*c for c.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.3. Let h = 7.76 + 0.04. Let g = h - 7.7. What is the biggest value in g, w, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-26) + 48918\/(-78). Let j = 260 - w. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 157314357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 74 = -196. What is the greatest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Let k(a) be the second derivative of -a**4\/12 + a**2\/2 + 3*a. Let x(z) be the first derivative of k(z). What is b(x(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.134944 * 7.\nAnswer: 0.944608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1835395244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 30*u + 4 - 24*u + 111*u - 28*u - 33*u.\nAnswer: -4*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 1*(-4 - -3). Suppose -a*g + 10 = 2. Solve 0 = -4*l - 0*h - g*h + 24, l + 4 = 4*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*j**2 + 123*j**2 - 7*j**2 + (4*j - j - 2*j)*(-j - 2*j + 2*j))*(-j + 3*j + 3*j).\nAnswer: 1340*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11056239?\nAnswer: 3, 17, 127, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -208*v + 593. Determine f(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 109 = -37. Suppose -5*r + 2 = -q. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.36 - -6.36. Which is bigger: h or -69?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 5:03 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/20*2\/4. Let d(m) be the first derivative of 0*m + 4\/15*m**3 - r*m**4 - 1\/10*m**2 - 1\/30*m**6 + 1 + 4\/25*m**5. Factor d(s).\nAnswer: -s*(s - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:51 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-207)*46 + 154\/(-26) + 2\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.76\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -107, -143, -175, -203?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 8 - 330\/(-30). Let b = -2 - -18. Solve 2*n + i - 12 = -3*i, c*n - 2*i = -b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50683\/1122 - 271\/6. Are n and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**4 - x**3 + 427132*x**2 - x + 2028835.\nAnswer: -36*x**2 - 6*x + 854264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v. Suppose -4*u + 10 = 2. Let d(k) = -2*k**u - 7*k**2 + 10*k**2. Determine d(t(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-20))\/v)\/v)\/v)**(-15\/4)\/(v**(16\/3)\/(v\/(v*v**(-5))*v)) assuming v is positive.\nAnswer: v**(-401\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 16*d. Let h(k) be the first derivative of -4*k**3 - 3*k + 756. What is i(h(y))?\nAnswer: -192*y**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**6\/90 - v**5\/20 + 5*v**3\/3 + 8. Let b(d) be the third derivative of f(d). Find the second derivative of b(w) wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 + -0.4. Let o = -5.08 - -0.08. Let l = 0.864 + -0.564. What is the closest to a in o, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -663, -1458, -2539, -3888, -5487, -7318?\nAnswer: -9363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.4. Let o = -0.1492 + 9.3192. Let m = o - 9.47. What is the closest to 1\/4 in 5, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85940595 by -244845.\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or 36?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 6 - 34 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 40 = -3*y. Suppose 0 = 15*u - y*u. Solve 0*w = -4*w - 5*z - 12, u = 3*w - 3*z - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73061103 divided by -399241.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 times 13100?\nAnswer: -5633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - m = 1168, -4*f + 2*m = -77 - 855. Let d be -2 - (-31 + 1) - (3 - 1). Calculate the greatest common factor of f and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*a + 2*o - 6, 3*o = 5*a + 2. Let w(q) = a*q - 1 + 3*q - q. Let d be 3*-2*3\/18. Give w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 411334.\nAnswer: -3\/205667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647076 to the power of 1\/2, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90711763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4011 and 2101?\nAnswer: 44121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-6)\/(-4)). Let i = -2\/241 + 251\/1205. Let j = -0.226 - -1.226. What is the closest to j in i, r, -1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0516 to 4 dps.\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 36 = -3*g, 0 = -5*g - 3*a + 67 - 5. Suppose g*y - 5*y - 2936 = 0. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-15)\/12 - 2. Let x = -5 + 5.5. Which is the second smallest value? (a) x (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -676, -1371, -2076, -2797, -3540, -4311, -5116, -5961?\n\"Answer: -o**3 + o**2 - 691*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 7*f + 116. Let p(r) = 2*r - 39. Let m(y) = -7*p(y) - 2*s(y). Let o(z) = -z. Give m(o(g)).\nAnswer: -2*g**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -3\/32*g**4 - 13\/8*g**2 - 100 - 13\/40*g**5 + 0*g + 1\/48*g**6 + 41\/24*g**3. Determine k, given that w(k) = 0.\nAnswer: -2, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -1 (c) -0.3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 12) + (-9 - (-16 + -3)) - 21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0373143 minus 7.2019?\nAnswer: -7.2392143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482 - 17*a**2 + 12*a**2 - 482.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + -7 + -7 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/6)\/(1\/12). Let g = 29 - 27. What is the highest common factor of a and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -87. Let p = -42 + t. Does 22 divide p*-82*1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*p + 1124 - 6254 = 957*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3333 - 3239.4. Is -1\/5 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 559.9, -0.5, -370\/9?\nAnswer: 559.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4894.558493 rounded to the nearest 100?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 23 = -i + 7, 3*i = -5*k + 62. Let p be (i\/(-35))\/(1\/(-120)). What is the greatest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204 + 127. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 515 - 1055. What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**6\/90 + j**5\/60 + j**4\/4 - j**3\/2 - 321*j. Factor o(s).\nAnswer: -s*(s - 3)*(s - 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/((-208)\/(-100) - 2). What is the units digit of 268\/t*(-20)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 7 + 4\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.69217518 + -13.692. Round i to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r - 3 = 0. Let h be r + 0 + (-9)\/3. Which is bigger: h or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*h = 11 - 0, 2*v + 4*h = 14. Let n(m) = m**3 + 6*m**2 - 6*m - 3. Let k be n(-7). Calculate the smallest common multiple of k\/(-1) - 0 - v and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - 169\/3. Let m be 0 + (-3)\/(18\/(-4)). Suppose 2\/3*k + v*k**2 + 0 - m*k**4 + 1\/3*k**3 = 0. Calculate k.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a = -30*a - 884. Suppose d + a = 12*t - 10*t, 3*t + 3*d = 93. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2 - 2. Let u(j) = j**2 + 8*j - 1. Let a be u(-8). Let f be a + o\/((-48)\/(-22)). Does 0 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522269 is divided by 630.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 15*m + 31. Let q be i(-30). Calculate the greatest common factor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-1\/2)\/u*u)\/u)\/u)**(-29)*u**4*u*((u\/u**(1\/4))\/u)\/u*u)\/((u*u**9)\/u**2)**(-6\/17) assuming u is positive.\nAnswer: u**(5445\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {o: 3, h: 2, u: 1, e: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1121*u = 1116*u - 3*v - 5, -5 = 5*u + 5*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + 3 - ((-14 - -1) + 15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 21321?\nAnswer: -21303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k + a - 3443 = -57*k, -5*a - 5725 = -5*k. Is 37 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 53?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 57*p**2 + 947*p + 56496. Calculate g(-56).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 38*k**2 - 37*k - 33. Calculate x(-37).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 11) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8 and 98\/22 - (-6)\/(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -18*y - 265. What is the remainder when u(-20) is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -2. Suppose n - 5*m + 6 + c = 0, 5*n - 5*m = -5. Factor -4*w**2 + 3*w**3 - 2*w**3 + 2*w + w**n + 0*w.\nAnswer: 2*w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 0. Let j = -47 + 46.32. Let d = 1.32 - j. What is the smallest value in o, 0.03, d?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -52*v**2 + 4*v**4 + 9*v + 15*v - 3804*v**3 + 4*v**4 + 3808*v**3 = 0.\nAnswer: -3, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4655, -4656, -4657, -4658, -4659?\nAnswer: -4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1166726100 to the nearest one million.\nAnswer: 1167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 97 + -110 + 79.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 17. Suppose -39*q + 38 = 2*f - 38*q, 5*q + 34 = 4*f. Determine l(f).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 16. Let z be -1 + (-7 - (-7 - -1)). Let c = -1 + -6. Sort b, c, z in descending order.\nAnswer: b, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5516*b + 22105*b - 5551*b - 5517*b - 5510*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2*t**3\/21 - 274*t**2\/7 + 37538*t\/7 - 572. Determine c so that v(c) = 0.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**3 - x**2 + x + 1. Let q be n(-1). Suppose k = q*i - 5, -i - 20 = -4*k - 5*i. Suppose -5 = -k*m + 67. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((5 - 10)\/5). What is the third derivative of -205*r**3 - 412*r**2 + 579*r**2 + 13*r**y wrt r?\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 51*y + 207 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40552507 or -40552505?\nAnswer: -40552507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 10. Suppose d = b*d - 6. Suppose -d*u - 2*u - 4*f + 264 = 0, -2*u + 3*f = -127. Calculate the highest common divisor of u and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) -0.4 (c) -3 (d) -40 (e) -1\/2 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**3 - 6*m**2 + m + 16. Let p be c(3). Find the common denominator of 74\/10*(-5)\/(-6) and p\/3*(-17)\/153*-1.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 - 163. Let x = -58.3 - u. Let s = 2.5 - 2. Which is the second biggest value? (a) s (b) x (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189708 less than -189505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/456 and -41\/7090?\nAnswer: 1616520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/3 - 17*x**3 - 283*x**2 - 5021*x\/3 - 2346 = 0. What is x?\nAnswer: -23, -17, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 1\/7 (c) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 944799488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 + 8 - (10 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**3 - 5*j**2 - 2*j + 1. Calculate u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + x**2 - 2*x)*(5 - 1 + 0)*(x - 3*x + 3*x) to j*x**3 + s + u*x + y*x**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12370 + -12372. Which is the closest to g? (a) 9 (b) 0.5 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 22*m**2 - 21*m + 6. Let c = 18 - 39. Let f be o(c). Suppose -3*p - f*p + 306 = 0. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47035609 is divided by 23517800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1110*v**3 + 6*v**2 + 53*v + 44. Is j(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdzd when four letters picked without replacement from {x: 4, z: 2, d: 10}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.00885 - 19.71515. Round b to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 + -0.8. Let r = 64 + -69.7. Let v = r - -6. What is the smallest value in 0.5, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -15. Let o = -3 - y. Solve o = l - w - 3, 4*l - 3*w - 23 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -17*n**2 + 101*n - 71. Give y(6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8187 (base 14) in base 7?\nAnswer: -3311630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:16 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26927 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 567 = -569, z - 15867 = -5*i. List the prime factors of i.\nAnswer: 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 7, 0 in descending order.\nAnswer: 7, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evx when three letters picked without replacement from {i: 2, m: 4, e: 1, x: 1, b: 7, v: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 20, 24*z - 22*z + 5*a - 29 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/309 in -0.2, -0.3, -5, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*i + 22915 = -154*i + 33384 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t + 12. Calculate the remainder when 32 is divided by m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let q be ((-6)\/(-4))\/((-18)\/(-24)). Let r(i) be the first derivative of i**2 + q - 3 - 2*i**2. Determine k(r(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l + 4*b + 34, 4*l + b = 41. Let z(h) = 12*h + 2. Let t be z(-3). Let s = -1 - t. What is the greatest common divisor of l and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -s + 3, 45*s - 5*t = 49*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13778 - 3714 = -147*a + 739*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-12)*-3 - (-717)\/6. What is the greatest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130030377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 830 and 1795330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 596833759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*l + 2*w = 240*l - 13, -4*l = w + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 5. Sort k, 0, 3 in decreasing order.\nAnswer: 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26760050 divided by -10?\nAnswer: -2676005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 181, 1, 3 in increasing order.\nAnswer: 1, 3, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 193\/2151?\nAnswer: 193\/2151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 8*h - 2. Let c(n) = -6*n**3 + 16*n - 5. Give -2*c(w) + 5*j(w).\nAnswer: 2*w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0590965 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3 - -2) + -3. Let w be (-114)\/g*(-2)\/(-3). Solve 3 = -3*a - 3*f, 6*f = 2*a + f - w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 - 1 - (901702\/(-722) - 8\/76) and 96.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456.4202s to nanoseconds.\nAnswer: 456420200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - 77 + 81 + 11*n)*(-2*n**2 - n**2 + n**2) in the form a*n + y + x*n**2 + g*n**3 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1469566745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwrbbhrbbbbrw. Give prob of picking 1 h and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12669, -50041, -112327, -199527, -311641?\nAnswer: -448669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171*f + 9 + 61*f**2 + 119*f - 291*f to the form c*f**2 + v + k*f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-1)\/3) - 5 - -4. Suppose -3*h + 4*t + 96 = 0, 104 + 88 = 5*h + 4*t. What is the units digit of (0 - 0) + q + h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 6027738*q - 54249718. Determine t(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*o**2 + 469*o\/6 - 1\/3.\nAnswer: -(o - 2)*(234*o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20875093, 41750186, 62625279, 83500372?\n\"Answer: 20875093*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1.62?\nAnswer: 6.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-354)\/(-897) - -14*3\/(-483).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28554, 57106, 85660, 114216?\n\"Answer: n**2 + 28549*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 37*i**3 - 4*i - 25. Let o(h) = h**3 - h - 1. Let c(m) = 4*o(m) - u(m). Differentiate c(p) with respect to p.\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**8*n*n\/n**(-1\/5)*n)\/((n**(-5)*n)\/(n**(6\/7)*n*n)))**12)**(-46) assuming n is positive.\nAnswer: n**(-348864\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 23*u. Let d(q) = -3*q**2 + 7*q**2 + 0*q**2. Calculate l(d(w)).\nAnswer: 92*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 3936097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -41*m**6\/6 + 6*m**2 + 3*m + 62. Find the second derivative of r(c) wrt c.\nAnswer: -820*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 31. Let j be g(0). Suppose -j = -3*w - 25. Let f(l) = l**3 - 8*l**2 + 8*l - 6. Let z be f(7). Solve -q - 2 = -z, 0 = -5*b + w*q + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 t when three letters picked without replacement from {d: 1, t: 3, f: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6728900 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 11\/3*c**3 - 18*c + 0*c**2 + 0. Calculate l(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 111 = -3*z, -u - 13 = -z + 6. Let i = -19 - u. Let x be (-6 - -3) + 6\/i. Which is smaller: -10\/11 or x?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1430 + 120*z + 2851 - 1421 + (-1 + 0 + 0)*(-z + 3*z - z).\nAnswer: 119*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*k - 288 - 1\/2*k**2.\nAnswer: -(k - 24)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -a?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 11*y**5\/60 + 2*y**2 - 151. Let j(c) = -21*c. Give i(j(s)).\nAnswer: 4851*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 9*y**2 + 9*y - 4. Suppose 24 = -16*z + 19*z. Let u be l(z). Let c be (-2 + 4)*10\/u. Solve 5 = d, -5*a + 3*d - c*d + 35 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, n: 2, g: 1, o: 4}. Give prob of picking 1 g, 1 i, and 2 o.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m - t, 0*t - 1 = -t. Solve 0 = 2*i - m*i - 5*o - 14, -i + 3*o = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w = 22. Suppose 20 = 3*q - 5*q. Let s = 28 + q. What is the least common multiple of w and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186137, -372273, -558405, -744533?\nAnswer: -930657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 4, -30.\nAnswer: -30, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -4.80637?\nAnswer: -0.961274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c + 11. Suppose 12 = 7*q - 8*q. Let h = q + 18. Let p(i) = 2*i + 6. What is h*d(y) - 11*p(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3408838*z**3 - 11*z + 8*z + 3*z.\nAnswer: 3408838*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(2 - 12\/8). What is the units digit of -3*7\/(l*1\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**5 - 50127*g**4 + 150363*g**3 - 150357*g**2 + 50118*g = 0?\nAnswer: 0, 1, 16706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(-20)*z)*z)*z\/z**15)\/((z\/z**(-15))\/(z*z**(3\/11)\/z*z)))**(16\/11) assuming z is positive.\nAnswer: z**(-8576\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 28. Let n be u(-5). Suppose n*f - 1395 = 4*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4095*h**5 + 83862*h**4 + 38953*h**3 - 5734*h**2 + 120*h = 0?\nAnswer: -20, -3\/5, 0, 1\/39, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + (2*sqrt(65)\/sqrt(5) - sqrt(1300)*-2)*3)**2 + -5.\nAnswer: 528*sqrt(13) + 56639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1001900 * -14.\nAnswer: -14026600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -398\/2695 + -136\/539. Let o = 0.03 + -0.33. Which is the nearest to f? (a) 3\/2 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 15 = 5*i, 11 = -3*i + l + 36 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 - -531. Is l equal to 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/18)\/(1*1\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 71*g + 35*g + 38*g in the form y + i*g and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/38590124 and 71\/620420?\nAnswer: 192950620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77887522, -155775042, -233662562?\nAnswer: -311550082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 796\/22 + ((-62)\/(-22) - 3). Calculate the highest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45444127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 9583 - 4792 - 4791 - 2*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(6)\/sqrt(8))**2 + sqrt(15)\/sqrt(180) - 6*(sqrt(3) + (sqrt(48) - sqrt(3)))*-2*-6.\nAnswer: -1721*sqrt(3)\/6 + 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 319037 to the power of 1\/2, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.6121192us to days.\nAnswer: 0.00000000016912175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 4.36719?\nAnswer: 3.36719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.039553505 and -2?\nAnswer: 2.039553505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 2*m + 1. Let d = 14 + -17. Give j(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265 + -260. Let k = 2.3 + 0.7. Let p = -198\/203 + 20\/29. What is the third biggest value in p, k, t, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**3 + 3*j**3 + 0*j**3 + (0*j + 0*j + 2*j)*(3*j**2 + 0*j**2 + j**2) + j**3 + 5*j - 5*j - 4*j**3 + 0*j**3 + 6*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6247 divide 2013189455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**3 + 10*h**2 + 4*h + 1. Let l(c) = -5*c**3 - 9*c**2 - 3*c. Let x(n) = -51*n + 405. Let s be x(8). Calculate s*f(j) - 4*l(j).\nAnswer: 2*j**3 + 6*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201020002 + -10?\nAnswer: -201020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20342 + 5*t + 10169 + 10173.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k*k*k**(2\/3)\/k*k)\/k))*k)**(-3)\/(k**(2\/3)\/k*k**(-1)) assuming k is positive.\nAnswer: k**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-21)\/112).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 22.5. Let w = -5.5 - g. Which is the second biggest value? (a) w (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -41*m**2\/2 + m + 188. Let j(r) = 2*r**2. Calculate n(j(u)).\nAnswer: -82*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**4\/4 - 3*j**3 + 11*j**2\/2 + 14*j - 3. Let o be v(-10). Solve -o*w + 6 = -10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-18) + 4\/(-3). What is the third biggest value in 0.4, w, -3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 444*s**4 - 2355*s**2 wrt s?\nAnswer: 10656*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68137, -68123, -68111, -68101, -68093, -68087, -68083?\n\"Answer: -f**2 + 17*f - 68153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 10*u. Let g be z(-4). Let j be 2*(-4)\/g - -5. Suppose j = t + 1. Solve 1 + 2 = t*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-340)\/56 - (-8)\/(-14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least as big as 42.33838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g + 27*g + 21*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20133 - -3132022?\nAnswer: 3212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**3\/2 - p. Let x(j) = 97*j - 105. Let q(k) = -136*k + 147. Let u(s) = 5*q(s) + 7*x(s). Calculate g(u(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_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: What is the nearest to -44 in 0.35, -1, -6, 2\/5, 1\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 24898.\nAnswer: 995.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, i: 2, n: 3}. What is prob of picking 3 t and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 32813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 156398900 to the nearest one million.\nAnswer: 156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1, h: 1, s: 5, b: 1}. Give prob of sequence as.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(189)*3)\/sqrt(9))\/(sqrt(3) - -4*sqrt(3)*6) + 2.\nAnswer: -2*sqrt(7)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 311713456?\nAnswer: 1558567280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -12*y + 66. Solve -d - y = -8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77040 divided by 8\nAnswer: 9630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 37\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3053.1 - -3053. What is the second biggest value in -3, -94, 3\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqgbbgfvgbgfgqvvqq. What is prob of sequence bvf?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**3 + 11*n**2 - 14. Let i(h) = -3*h**3 + 4*h**2 - 5. Let x be (-5 - (-5 - -2))*-1. Let l be ((-3)\/x)\/(9\/24). What is l*a(t) + 11*i(t)?\nAnswer: -t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 83085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12251566 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3319*p + 3316*p + 5*q = -20, 5*p = q - 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -70, -1.\nAnswer: -70, -1, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:52 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -108. Suppose -w = -0*d - 4*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118442 times -1.04?\nAnswer: 123179.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30895*d**5*r**2 - d**3*r**2 - 2*d**2 + 51671*r**2 wrt d?\nAnswer: -1853700*d**2*r**2 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2 + 17*q - 3. Give h(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.787 and 1.1?\nAnswer: 8.5657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -9742 and -389.8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 373, -3, 1, 3 in increasing order.\nAnswer: -3, 1, 3, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72946*a + 756 = 72910*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5508 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:39 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2)*(-3)\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-14))\/(108\/(-63))*4. Factor 0 - s*p**3 - 1\/3*p**4 - 1\/3*p**2 + 0*p.\nAnswer: -p**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690, 686, 680, 672, 662, 650?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1de + b63?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 309984 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283704?\nAnswer: 2, 3, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = b - 0*b - 18, 5*a + 2*b - 29 = 0. Let g(o) = -4 + 5*o - a*o + 4. Let z(x) = -2*x + 16*x - 2*x. What is g(z(l))?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 178.654 * 153\nAnswer: 27334.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11408 divided by 1\nAnswer: 11408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -674.1783944005 - 0.4.\nAnswer: -674.5783944005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(15)\/(sqrt(15)\/sqrt(3))))\/(-4*sqrt(30)\/sqrt(6)*5).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 74*h**3 + 4*h**2 - 17*h - 4. What is the tens digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**5\/4 + 45*b**4\/4 + 65*b**3\/4 - 685*b**2\/4 - 420*b - 245 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = 60. Let j(z) = 2*z - 1. Let s be j(r). Solve -u - 2*h - 4 = -2*u, -s = 4*u + 5*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -40. Let k be 20\/(-8)*8\/z. Find the third derivative of 6*x**k - 4*x**2 + 5*x**2 + x**5 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Round 0.000081908 to six decimal places.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -6, 7, 40, 99, 190, 319?\n\"Answer: u**3 + u**2 - 11*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 388 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -300, -620, -940, -1260, -1580, -1900?\n\"Answer: -320*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4\/12 + 2*v**3\/3 - 16*v. Let r(k) = -k. Let h be r(-3). Determine p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 8 = -2*s. Suppose 4*u - 9 = s. Let g(t) = -t**2 + 4*t + 8. Determine g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjxj when four letters picked without replacement from {t: 1, j: 2, y: 1, x: 4, a: 3, d: 1}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-12) + 2\/3. Let l = 4 - 1. What is the derivative of -2*c**2 + c**2 + k*c**l + 1 + c**2 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*a + 51*a - 31*a**2)*(a**2 + 0*a**2 + 0*a**2) + (-8*a**2 + 6 - 6)*(-26*a + 26*a + 13*a**2).\nAnswer: -135*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let g(w) = -30*w + 51. Let l(q) = -7*q + 12. Let o(j) = -2*g(j) + 9*l(j). Calculate -4*a(c) + 2*o(c).\nAnswer: -2*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(272) + sqrt(17))*2.\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9 + 12 - 1) + (193 - 2) is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/60*171\/(-285))\/((-3)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3855936.\nAnswer: 2, 3, 7, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2 - 99*h - 32. Determine b(6).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2979 + 5994 = -15*s + 3120. Let j be 2 + -46*-2*1. Suppose -3*z + 74 + j = 0. What is the greatest common divisor of z and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1472 + 26503\/18. What is the common denominator of -83\/45 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -1 + -4)*4.\nAnswer: -20 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -186*p**2 - 932*p - 10. Let y be h(-5). Solve 114 = 19*f - y for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 242, 338, 434?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -755, -2297, -4673, -7889, -11951, -16865?\n\"Answer: -j**3 - 411*j**2 - 302*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + p + 7 = 0, -4*t + 0 + 2 = -2*p. Let k(v) = -5*v + 3. Calculate the remainder when 51 is divided by k(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4510119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1000653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1152 < -1154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/12))**(-9) assuming d is positive.\nAnswer: d**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350 = 89*l - 35*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j + 13. Suppose 3*a = -a - 20. Let h(x) = 3*x + 9. Give a*o(r) + 7*h(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmmjjjjjjmmmjmmmjmm. What is prob of sequence mj?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3424711 and 24\/11.\nAnswer: 37671821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65709709, 65709707, 65709705, 65709703, 65709701, 65709699?\nAnswer: 65709697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3234850 by -5.\nAnswer: -646970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - -2.02. Let j = b + -1.97. Let a = j + -0.03004. Round a to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -40, 24 in decreasing order.\nAnswer: 24, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 3\/(9\/2874) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0145 - -0.2145. Let h be 8\/44 + 31\/11. Which is the third smallest value? (a) h (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-6))\/((-1)\/(-2)))\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 - -109 - (6 + (-37 - -9))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 309\/(((-5)\/(-20) + -1)*36\/(-27)). Solve 6*y - 315 = -c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -881931 + 1349474. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.0000014 + -24. What is r rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73051 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/3 - 5*y**4\/3 + 6*y**3 + 58*y**2\/3 - 145*y\/3 + 25 = 0 for y.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 31. Give p(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6541 + -6541.2951. Let k = b - -0.338. Let x = -0.039 + k. What is x rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166814*-25.\nAnswer: -4170350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -48*v + 81. Let s be n(5). Let x = -121 - s. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - -124011?\nAnswer: 124102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 275*t - 1166 + 591 + 537. What is the tens digit of r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 145*s.\nAnswer: 145*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1085375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 161 = 3*b - 5*j, b + 5*j = -27. Let t = b + 58. Suppose -4*p - 8 = 0, 643 = 3*i - t*p + 4*p. List the prime factors of i.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*b - 0 + 5, -5*b + 30 = 4*s. Let g be (4\/s)\/(3\/15). Suppose g*v + 3*v - 469 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 1a?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -306*p**2 + 5816*p - 30. Determine w(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 5:45 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 24669425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*a - 3*a. Let q = -18 + 70. Calculate the remainder when q is divided by (26 + a)\/(3\/2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 12*v + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936063.\nAnswer: 1936063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y = -58*y + 3*s - 89, 2*y = 5*s - 107 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*p + 60 = 0, 4*p = 2*n - p - 81. What is the highest common divisor of n and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319914019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -72.36, -4\/7, 2, 6\/7, -3 in descending order.\nAnswer: 2, 6\/7, -4\/7, -3, -72.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28313\/746 >= 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.901 and -11225.3.\nAnswer: -11228.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/24 and -37\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1543888665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-12)\/(-18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 391.948 millilitres?\nAnswer: 0.391948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 596196.9007 and -864.8.\nAnswer: 595332.1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (13\/13)\/(2\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1035.865152us?\nAnswer: 0.00000000171274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 4*y - 8. Let a be (-86)\/8 - 2\/8. Let l = -5 - a. Let z be u(l). Solve j + 3*k + 7 = -j, -z*j - 4*k - 16 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/113 or 1?\nAnswer: 45\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**3 + 3*u**2 + 3*u + 2. Let p(g) = g**2 + g + 1. Let i(j) = -k(j) + 2*p(j). Let c be i(-1). What is the second smallest value in 6, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - -0.039.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3958?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15c4 - 9b0?\nAnswer: -1f74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27934 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 59, -2\/17, 4 in ascending order.\nAnswer: -5, -2\/17, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*i + z, -5*i + z - 30 = 0. Let o(v) = -5*v - 3. Let j(u) = -40*u - 77. Let d(m) = -j(m) + 6*o(m). Let c be d(i). Solve 4*w = -c - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1550 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -261 or -3651\/14?\nAnswer: -3651\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 10 = 0, 0 = 5*a - 0*f - 2*f + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5974330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5349 and 33.\nAnswer: 58839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21515961*d**3*h + 1621481*d**2 - 14*d*h wrt d?\nAnswer: -129095766*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028 a factor of 299811408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372706967 to the power of 1\/2, to the nearest integer?\nAnswer: 19306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 19. Let n be y(-6). Is 29\/(-58) + (n - 12058\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 42\/10 - 2*-2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 22054 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -3*p + 4*w, 3*p + 781 = -8*w + 738 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 2*g**2 - 2*g + 3. Let w be k(-3). Suppose -2926 = 26*c + 3262. Let p be (4\/(-10))\/(c\/(-21) - 11). Is w greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/88 and 123\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 5, 73, -621583 in descending order.\nAnswer: 73, 5, 4, -5, -621583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97747200 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -8. Suppose -a = 2*f - 26. Suppose -d + 2*s - 5*s - 11 = 0, 4*d + f = -5*s. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*a**2 + 36*a**2 - 1104765*a**3 - 72*a**2 + 1104735*a**3.\nAnswer: -30*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (1 - 6)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*x + 2*x - 16, 2*y - 5*x + 27 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 981457317 to the power of 1\/4, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3132 and 101529.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 429*h = 18744 for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-297)\/(-8))\/33*4\/18\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 - r + 1. Let q be i(3). Suppose g - 13 = -5*l + 11, 0 = l - 5. Sort -5, q, g.\nAnswer: -5, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 25. Let d be 3\/(-1) + 21 + -3. Let n be o(d). Suppose 3*j + 2 - n = 0. Calculate the highest common factor of 11 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 3. Let k be c(4). Let r(m) = -m**3 + 4*m**2 + 4*m + 4. Let v be r(k). Let t = v + 3. Solve -3*p - n + 5*n + 6 = 0, 2*n - t = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2719*g**3*i - 12040*g**3 - g**2 + 650743*g*i - 445*g wrt g.\nAnswer: 16314*g*i - 72240*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 + h + 13. Let t be l(0). Suppose -o = -14 + t. Let a(x) be the first derivative of -5*x**4\/4 - x**2\/2 - 3. Calculate a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fefffeffee. Give prob of sequence eef.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -106, -64, 26, 188, 446?\n\"Answer: 4*f**3 + 14*f - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 6*b - 5*f = -333, f = -3*b - 919. Let d = b + 318. Solve 5*l - 10 = d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 21*h - 3796*h**3 + 3797*h**3 - 14*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1685713 and -17.\nAnswer: -28657121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/((-7)\/(1470\/(-9))). Let a = f - 171. Is a <= 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38541 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23077 to 3 dps.\nAnswer: 0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.403 - -0.359194876.\nAnswer: -0.043805124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1\/6))\/g*((g\/g**(-1))\/g)\/g*(g**(1\/5)*g*g)**(-7\/4))**(-3\/11) assuming g is positive.\nAnswer: g**(161\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 5158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffxfifx. What is prob of sequence xif?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 4400*j**3 + 2424394*j**2 - 4831204*j.\nAnswer: 2*j*(j - 1099)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 + 2*p - 1. Let n be g(1). Let y be n\/(-6) + (-10352)\/(-36). Let v = y - 28939\/99. What is the common denominator of v and -31\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 - 3*w**2 + 107*w + 630. Determine m(-5).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(208) - 1*sqrt(208)*6)**2 - sqrt(208)) - ((sqrt(13) + (-3 + sqrt(208) - sqrt(13)))**2 + (sqrt(13) - (sqrt(117) + -2)**2)).\nAnswer: 7*sqrt(13) + 5101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 29. Let p be b(-13). Suppose -7*o - 27 = -p*o. Is 1 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, 1\/4, -69?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124310 + 1?\nAnswer: -124304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 8. Let k(j) = 2 - j**q + j**3 - 3*j + 6*j**2 - 4*j**2 + 0*j**2. Let d be k(4). Round d to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 2. Let o be z(3). Let s be o*(-1 - 1 - -1). Solve 0*b = -s*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c - o, -c - 3*o - 15 = c. Suppose -4*y + 3*y = c. Let h(d) = d**2 - 6*d + 5. Let i be h(5). Solve -z + a + 5 = i, y = -2*a + 6*a + 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q. Let z(g) = -4614681*g. Calculate z(j(o)).\nAnswer: -23073405*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 18506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 19*x - 50. Let u be l(15). Let k be (u\/15)\/((-20)\/(-15)). Let f be (-14)\/(-6) - 2\/6. Put k, 3, f in decreasing order.\nAnswer: 3, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-1 - (3 - 4)))*-1. Solve l + 2 = 3*t - t, h = 3*t - l - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422493?\nAnswer: 3, 140831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -z - 1, -27*k - 17 = -30*k + z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 2. Let r = -5 + 5. Let a be o(r). What is the derivative of 0 + 4*y**2 + 2 - 3*y**a wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -236 and -236 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1330?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {f: 1, n: 2, l: 1, s: 6, a: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 2*u + 9. Let l be g(0). Factor -10*v - 3*v**2 + 4*v + 2 + l*v**2 - 2*v**3.\nAnswer: -2*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191221 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24904.\nAnswer: 2, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2))**(-8)\/(t**(-1\/4))**(3\/46))\/(((t*t**5)\/(t*((t*t*t\/t**(-1\/4))\/t)\/t))\/(t**0)**6) assuming t is positive.\nAnswer: t**(49\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + (sqrt(11) + -1*sqrt(11) + 1)**2).\nAnswer: -5*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)*k**(-17))\/(k*k*k**(-5\/2)*k*k)**(-33))**12 assuming k is positive.\nAnswer: k**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10*f. Let p(n) be the first derivative of 2\/3*n**3 + 0*n**2 + 0*n + 3. Calculate p(k(m)).\nAnswer: 200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-18)*((-117)\/26)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1067, -2742, -4417, -6092, -7767, -9442?\n\"Answer: -1675*q + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 2*y**2 - 3*y + 2. Let d be z(3). Let b = 2 - -2. Let o = b + -4. Solve -3*q = 15, -w + d*q + 6 = -o*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12237 divided by -4.\nAnswer: -12237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -843410000 to the nearest one million.\nAnswer: -843000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 972448338*t - 78804647506580187.\nAnswer: -3*(t - 162074723)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + -1*4*sqrt(1053))**2.\nAnswer: 72*sqrt(13) + 16849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -56.01. Let q = -0.01 - j. What is the closest to 0.1 in q, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -1\/24*b**4 - 1\/3*b**3 + 0*b + 0 + 6*b**2. What is d(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -354 + 3557\/10. Suppose -4*f = -2*f. What is the common denominator of (-385)\/(-56) + f\/(-1) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -651594, -1303199, -1954804, -2606409, -3258014, -3909619?\n\"Answer: -651605*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/4 of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + s = 18*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from {k: 4, i: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/45, 367, -3, 4\/7, -5?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + j. Let h be v(-1). List the prime factors of (h - -20)*(-2)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 + 1973*v**2 + 2018*v**2 + 72 + 167*v**2 + 213*v**2 as b*v + u*v**2 + c and give u.\nAnswer: 4371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3141434 and -0.058118.\nAnswer: 3141433.941882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 315409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.1 + 55.1. Let t = z - 48. What is the second smallest value in t, -2, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1008)\/(-360)*20\/98.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 792\/385 + 11\/77\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 123*y + 1. Let g(z) = 1007*z. Determine g(i(s)).\nAnswer: 123861*s + 1007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118.09 + -118. Let i = -389 + 392. What is the biggest value in 0.6, 2\/7, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9. Let d be (-6198)\/(-8) + 4\/16. Suppose g = 2*p + 3*p - d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1189 = -13*a + 1059 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1599456 and -99\/266576.\nAnswer: 1599456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -26?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.6 and -10634935.\nAnswer: -10634946.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4954707019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from rrp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -5, -2, 10 in increasing order.\nAnswer: -5, -3, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = s, -p + 2*s = -5*p + 16. Suppose -11 = -l + p. Calculate the remainder when 30 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-6))\/(9\/12). Let c(r) = 2 + 2*r + 6*r**p - 2 - 1. Is 21 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.39 != 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.57 (c) -0.063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 42, 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68.331 + -1.231. Let z = 52 - h. What is z rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*6 - sqrt(216)\/sqrt(2))\/(-2*2*sqrt(9) + -6*sqrt(18)\/sqrt(2))*6 + -3.\nAnswer: -48*sqrt(3)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 4, -1, 3741, 83, 3 in increasing order.\nAnswer: -1, 0, 3, 4, 5, 83, 3741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o + 116. Let c be b(0). Let q = c - 210. Let d = q - -95. Let n(v) = v**2 + v. Let l(j) = -2*j**3 + j**2 - j. What is d*l(t) + n(t)?\nAnswer: -2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 58 = 86 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -26*y + 130. Calculate the lowest common multiple of 18 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*i + 24. Let k = 24 + i. Which is bigger: -6\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {n: 1, x: 6, s: 4, t: 5, c: 1, a: 3}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(99) + 1 - ((sqrt(99) + 3*sqrt(99))*-1 - sqrt(99))**2) + -3)*-3.\nAnswer: -9*sqrt(11) + 7443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1517, 127, 11 in descending order.\nAnswer: 1517, 127, 11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -135028 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26123.49 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 485 + -488. What is the nearest to 1 in s, 15\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269741 divided by -67\nAnswer: 269741\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 0) + 21\/(-7). Let r(h) = h**2 - h. Let d be r(f). Suppose -a = 2*u - 79, -4*a + 10*u - 5*u + 355 = d. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1413.0228 + -1413. Round g to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 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: Evaluate 57 + -53 - (1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 245\/60 + (-41)\/492. Solve 33*g = 31*g + n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1 - 9 = 3*o, o = 4*i - 6. Let s be 60\/24 - (i - 1\/2). Solve 3*p = 5*h + s, 0*h + 2*h + 16 = 5*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let i(q) be the first derivative of 16\/3*q**3 + 0*q**2 - 16 + 0*q. Determine i(j(r)).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 3, 1, 5\/28, -52\/3 in decreasing order.\nAnswer: 3, 1, 5\/28, -0.14, -52\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.032 - -37.968. Let o = -37.9999828 + l. What is o rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1208*n**2. Let j(l) = -2*l**2. Calculate g(j(r)).\nAnswer: 4832*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190\/1017 - 4\/113. Suppose 2*p - 6*p + 12 = 0. Let k = p - 2. Is h < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 9666?\nAnswer: 125658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, 3, 2, -3, 1230 in decreasing order.\nAnswer: 1230, 3, 2, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6355994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y + 24172 = 28*y - 3*i, 2*y - 24140 = -5*i. Let n = 440 - y. What is n rounded to the nearest 100?\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1407186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**2 + 1\/2*z**3 + 0 + 1\/6*z**4 + 0*z + 1\/30*z**5 - 1\/15*z**6. Is n(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t. Let y be (-18)\/(-24)*(47 + 1). Let m = y - 30. Let g be (m\/4)\/((-3)\/8). Calculate r(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408)\/((-170)\/10)*9*4\/48?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 90 + 10 = -o, 0 = 3*o - 2*u - 215. Suppose o*l - 74*l = 38. What is the remainder when l is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(800) + (sqrt(250) - (sqrt(250) - -2*sqrt(250)))\/sqrt(5))\/(sqrt(10) + 1*sqrt(50)\/sqrt(5) - ((6*-2*sqrt(10) - sqrt(10)) + sqrt(10))).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 166434 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 + 8643 - 8643.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x - 4. Determine w(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 27*s**2. Let a(i) be the second derivative of -i**4\/6 - 3*i. Give c(a(w)).\nAnswer: 108*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:15 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 26. What is the least common multiple of k and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.33 - -26.2. Let r = 60 - 65. What is the closest to 0.2 in r, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + 82. Suppose 5*h = 114 - m. Sort -4, -1\/4, 2\/5, h.\nAnswer: -4, h, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) 9 (c) 1\/57 (d) -0.5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-132)\/(-9) + 2\/6)*8. Suppose -5*b + 9*b = h. What is the lowest common multiple of b and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10\/11, -5 in increasing order.\nAnswer: -5, 10\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 1. Let b be z(1). Let h = 5 + 0. Suppose 130 = h*r - b*r. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -13*g + 58. Sort -8\/11, g, 3 in descending order.\nAnswer: g, 3, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00757814213 to 6 dps.\nAnswer: -0.007578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -29, 4, 1\/3 in increasing order.\nAnswer: -29, 1\/3, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0.5, 1\/15, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 4. Let z = 7 - j. Suppose h = -3*h + z*n + 132, 4*h - 100 = -5*n. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27, -1, 725 in ascending order.\nAnswer: -1, 3, 27, 725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9839, 18769, 26789, 33899, 40099, 45389?\n\"Answer: -455*z**2 + 10295*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrdrrddqggrbgg. What is prob of sequence qdgr?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - 73. Let r = f + -74. Solve -2*c = 5*z - 16, r*z + 9 = 3*z + c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2619\/(-291) - (1 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12928 is divided by 6427?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 27, 85, 0, -3.\nAnswer: -3, -2, 0, 3, 27, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 2\/7, 1\/2, -106?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -29*s**4\/8 - 730*s**2. Let g(y) = 5*y**2. Determine b(g(p)).\nAnswer: -435*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 258*j**2 + 2380*j - 95002. Give u(250).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6365 a factor of 289411069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*w + 632 = -6952 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 q when four letters picked without replacement from xqrqrqqgrqr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.92 + 18794430909\nAnswer: 18794430909.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -58. Let t = 33.95 - d. Let m = 0.05 - t. Sort m, -3\/5, -0.3.\nAnswer: -3\/5, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12559640449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -42858*-5.5\nAnswer: 235719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0*r**2 + 0 - r**3 + 20*r - 1\/18*r**4. Determine b, given that l(b) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29384 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -30, -98, -224, -426, -722, -1130?\n\"Answer: -3*i**3 - 2*i**2 - i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 - 1740*t**2 - 123648*t - 2043904 = 0. What is t?\nAnswer: -32, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 242451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 25\/12*l**4 + 125\/6*l**3 - 1\/42*l**7 - 4*l**2 + 0 - 5\/12*l**6 - 2*l**5 - 2*l. Factor j(p).\nAnswer: -5*(p - 1)*(p + 1)*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -559*a + 292*a - 13350 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (0 + 3)) + (-128 - -123).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1200 + -882. Let v = o + 3149. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.04342 years in months?\nAnswer: 672.52104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06530132 rounded to five decimal places?\nAnswer: -0.0653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 29498 = 2*q, -63*q + 65*q - 5*z - 29502 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 9*s + 12. Let k be (80\/(-24))\/(3\/9). Let o be c(k). Suppose 1\/3*i + 0 + 1\/3*i**o = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(208))**2 + -3.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6 - 1 = -o, -2*p - 2*o = -14. Let c = 3 - p. Is c at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(228) - 1*sqrt(228))*5)\/(((sqrt(120) - sqrt(120)*-1)*1)\/sqrt(10)))**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2124, 1918, 1712, 1506, 1300?\n\"Answer: -206*j + 2330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11*b**2 + 33*b - 14. Let o(v) = -4*v**2 + 11*v - 5. Let n(y) = 8*o(y) - 3*z(y). Let r = 25 + -17. Determine n(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3322, -3251, -3180, -3109, -3038?\nAnswer: -2967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a = 45 - 159 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -231.2235 to 1 dp.\nAnswer: -231.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -4*y**5\/5 + 61*y**4\/3 - 238*y**3\/3 + 52*y**2 + 47*y. Factor o(a).\nAnswer: -4*(a - 13)*(a - 2)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/15, -13.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*f = 65*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7576 - 23257.\nAnswer: -23254.2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/12*3\/2. Let h be -1*5\/85*(-1 + 0). Is u <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -9. Suppose -3 = -l - 5*c - 0, v = 4*l + 3*c. Let n be (12\/5)\/((-48)\/(-80)). Solve l*p - n*p = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 36 + 9 - (15 - -4) - (0 - -34).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2. Let g(a) = 1467335*a. What is g(y(t))?\nAnswer: -2934670*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15111?\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(15)\/sqrt(3)*-4)*-5.\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 223, 511, 915, 1435, 2071, 2823?\nAnswer: 3691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 72. Calculate the lowest common multiple of 66 and g.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)\/(4\/(-10)). What is the second derivative of 3*r**5 + r - r**v + r**4 - r**4 wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4644 and -4644 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q - 33*q - 2 = 4*w - 5*w, -3*w - 3*q - 9 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 69 = -4*m - w, 5*m - 105 = 5*w. Is (-12)\/(-3)*1724\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 2*u + 31. Let t be x(-7). Differentiate 60*s + 9 - 72 + t*s with respect to s.\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134a (base 11) to base 7\nAnswer: -5045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-427)\/122*(-9408)\/(-1029)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(16*(-30)\/(-192)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14)*0\/(-41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaoaaaaaoaaaa. What is prob of sequence ooa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -45. Suppose -12 = s*n, -n - 52 = -3*l - 3*n. What is the highest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from pjnansp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.769 and 0.3.\nAnswer: -1.4307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 624163026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-225))\/((-2)\/54)*(-20)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -12146124?\nAnswer: 12146121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -28. Let w be 150*(-1 + (1 - -1)). What is the highest common factor of c and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -9, -8986 in ascending order.\nAnswer: -8986, -9, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c3 + -300?\nAnswer: 2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**2*q + 7*i**2 + 3*i - 10966*q + 207 wrt q?\nAnswer: -2*i**2 - 10966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15707, 18174, 20641, 23108?\n\"Answer: 2467*w + 13240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46920 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 137630841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 8*n**2 + 5*n - 8. Let g = -1942 - -1936. Calculate j(g).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 32*f + 395. What is g(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + x)*(3*x**4 + x**4 - 2*x**4) + 60*x**3 + 27*x**5 - 109*x**3 + 55*x**3.\nAnswer: 29*x**5 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5005979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose 47 = 2*v + 187. Let h = v - -72. Solve 0 = -5*n - h*i, 4*n - 2*i = -k*i - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u - 4. Suppose 3*m = 6*m. Let x(b) = m*b + 5 - 3*b - 4*b. Let s be 2*(14\/(-4) - 0) - -3. What is s*x(z) - 5*o(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 979620 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18807433?\nAnswer: 37, 661, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 426605431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25444 < 25791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 10, 5, 4\/7, -3\/2, 144\/11?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1046739 and 1352835.\nAnswer: 518135805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 21*g**2 + 6*g + 5. Let a(o) = 27*o**2 + 4*o + 4. Let f(j) = -3*a(j) + 2*k(j). Let i(h) = 19*h**2. What is f(i(u))?\nAnswer: -14079*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/9 + 33698*c**3\/9 - 8457280*c**2\/3 + 543132200*c = 0.\nAnswer: 0, 390, 16069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/2, 0.2, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*g - 84 = 71*g. Let u(q) be the second derivative of -1\/2*q**3 + 0*q**g - 5*q + 0. Let k(a) = 6*a**2. Determine k(u(f)).\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/670 and 37\/51724?\nAnswer: 258620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.15 - -1.1. Let n = 0.049 + g. What is n rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -u - 10, -3*u = -0*k + 3*k. Suppose h + 2*x + k*x + 2 = 0, x = -4*h + 37. Is ((-27)\/(-6) - -1)*h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66351.5 rounded to the nearest one hundred?\nAnswer: 66400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)**(8\/7)\/(i**(-2\/5)*((i\/i**6)\/i*i)\/i))**(-49) assuming i is positive.\nAnswer: i**(-1008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/5, 14\/81, -0.06, 3?\nAnswer: 14\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 3*g**3 - 26*g**2 + 11*g. Is 18 a factor of b(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/77 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1653*z - 1653*z - 1 - 65*z**2)*(-2*z + 21*z - 6*z) to the form p*z**3 + k*z**2 + m*z + f and give p.\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1011201022201 (base 3) to base 11\nAnswer: -397019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5 - 6 + 17*l + 2 - 7*l**2 - 3 - l**3. Let n be g(-9). Let s = n + 33. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 - 5 = 0. Let s be 110\/5 - 5\/b. Let a = 8 + s. Solve 0 = 5*n - 10 + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1560)\/(-420))\/(2\/(-14))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*m - s - 44, 5*m + 3*s = -192. Let f = 51 + -8. Let b = m + f. Solve -v + b*o + 30 = 2*o, -2*o = -3*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 156 = 75 + 79 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 313065 and 19575.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 667 + -285. List the prime factors of s.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*p**3 + 104*p**3 - 208*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 254\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(0 - -4)\/(-20). Factor -9\/5*j + 12\/5*j**2 + 0 - i*j**3.\nAnswer: -3*j*(j - 3)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k + 4. Let t be w(0). Suppose -3*h = t*h. Solve v - 3*v = h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + 1 + sqrt(1331))*-1*6 + 2.\nAnswer: -66*sqrt(11) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.5 - 3.5. What is the second biggest value in -3, 3\/4, m, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 30*m**2 + 3 - 4*m**2 + 17*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 197*h + 5. Let l(r) = -65*r - 2. Determine -11*l(a) - 4*t(a).\nAnswer: -73*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2100?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(15\/(-110)*4\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -9709*k + 9698*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 29 + 42 + -14 + (-25 - 1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69705.83 nanometers to kilometers.\nAnswer: 0.00000006970583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 53*f - 3339. Determine c(58).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a95 - b157?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100 + 1011110?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2748433 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhjhjjhhh. What is prob of picking 2 h and 2 j?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -44 + 28 + 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 67. Suppose -5*d = -z - 85, -4*d - 51 = -7*d - z. Suppose 0*c = 5*c - 3*s - d, 5*c + 4*s = 24. Solve c*x = l - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8915 and 29909025.\nAnswer: 29917940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 50*k**2 + 97*k - 60. Calculate g(23).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1999 divide 13333330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -158, -233, -308, -383?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(228) + 2*sqrt(228) + sqrt(228) + sqrt(228))*-3 - -1*sqrt(228)*1)\/(sqrt(12) + sqrt(60)\/sqrt(80) + sqrt(300)*2) + 2)**2.\nAnswer: -135368\/2025 + 448*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 4*s + 2. Let a be b(-2). Suppose k = a*k - 14. Calculate the highest common factor of 35 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3274*m + 190 = 3255*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**3 + 6*s**2 + 16*s + 22. Calculate w(5).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24643.\nAnswer: 19, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.6 - -0.4. Let m = d + -0.8. Put 5, m, 3 in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -346, -693, -1040?\n\"Answer: -347*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20783120\/432 + (-14)\/189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9313\/59223 + 2\/3117. Is 53 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*o**2 - 7229*j*o - 26489378*j - 18*o**2 wrt o.\nAnswer: -4*j*o - 7229*j - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r*r**(1\/12))\/((r**(-1)\/r)\/(r**(-6)\/r))*(((r**2*r)\/r)\/(r\/(r\/(r\/r**5))))\/(r**(-1\/14)\/(r**(3\/5)*r)) assuming r is positive.\nAnswer: r**(457\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 3*i - 3. Let h(y) be the second derivative of y**4\/6 + y**3\/6 + y**2\/2 - 72*y. Let p(j) = -h(j) + r(j). Factor p(v).\nAnswer: -(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, q: 12}. Give prob of sequence qp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222613 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 69*n**2 - 72*n.\nAnswer: 3*n*(n - 24)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-1 - 6*1). Let n(d) = -d - 12. Let h be n(-23). Suppose -v + a = -h. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*u + 9 + 5, 2*l + 12 = 4*u. Let o = 0 + 0. Sort -3, o, l.\nAnswer: -3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:34 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -127?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, s: 2}. What is prob of sequence ts?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82354*h - 966*h**3 + 82354*h + (0 + 1 - 3)*(-2*h**3 + h**2 - h**2).\nAnswer: -962*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**2 - 20*m**2 + 90*m**2 - 28*m**2 - 27*m**2 - 8*m.\nAnswer: -6*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbmrm. What is prob of picking 1 r and 1 b?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4)*-5)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (-2*sqrt(180) - sqrt(5)) + sqrt(5)).\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z - 280. What is w(-39)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472755986 to the power of 1\/2, to the nearest integer?\nAnswer: 21743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -2897286.\nAnswer: -16\/1448643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6785.149 millimeters to meters.\nAnswer: 6.785149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488046 + 488046 + 4*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 - 2*t**4)*(t - 1 + 1) - 5*t**5 + 24 - 24 + (t - 6*t - t)*(2*t**4 + 4*t**3 - 4*t**3).\nAnswer: -19*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k**3 - 9*k**2 + 3*k. Let f(i) = -13*i**3 + 8*i**2 - 2*i. Give -3*f(z) - 2*y(z).\nAnswer: 11*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -88. Suppose 4*l + 3505 = 5*n, 0 = -w*n + l - 294 + 2390. What are the prime factors of n?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**4\/2 - 2*y**3\/3 + 5. Find the third derivative of g(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from dmddjmqqjmdmm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68287?\nAnswer: 23, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**(-19)*u*u*u*u**4*u*u**(-5))**(-13\/4) assuming u is positive.\nAnswer: u**(91\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 5*g + 5, -14 = 4*t + 5*g. Let o be (1040\/1089)\/(-4) - 12\/(-54). Let c = -236\/363 + o. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 + 239391440*b**2 - 2865413077263680*b = 0.\nAnswer: 0, 23939144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 10*p**2 - p + 11. Let w be (3\/(-2))\/((-14)\/(-1988)). Let q = w - -203. Determine i(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bffsfffsffffbbbs. Give prob of sequence fsfs.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(308)\/sqrt(7))\/sqrt(2))\/(4*sqrt(132)\/(sqrt(48)\/sqrt(4))) + 5.\nAnswer: -3*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + 5 + sqrt(2057) + 0 + sqrt(2057) + 4 + 1 + sqrt(2057) + -2*(sqrt(2057) + -1)) + -3)**2 + 0.\nAnswer: 6732*sqrt(17) + 76653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a**22*a)\/a)\/a)\/a*((a\/(a\/(a*a*(a*a*a**29\/a)\/a))*a)\/a)\/a assuming a is positive.\nAnswer: a**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3279*h**3 + 2822 wrt h.\nAnswer: 9837*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g + 5. Let y be ((-35)\/(-28))\/(2\/8). Let r(a) = -11*a - 6. Let w(m) = -6*m - 66. Let b be w(-12). Determine b*q(v) + y*r(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 644052 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*s**4 + 2*a*s**2 - 2*a*s - 7601*s**4 + 45208*s wrt s?\nAnswer: 24*a*s**2 + 4*a - 91212*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 316*b**3 + 6*b**2 - 19*b + 8. Let o(r) = 1267*r**3 + 23*r**2 - 75*r + 31. Give -23*f(q) + 6*o(q).\nAnswer: 334*q**3 - 13*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 5*c - c)*(0*c + 0*c + 2*c)*(1 - 2 + 0).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1619528 * -11.\nAnswer: 17814808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -24, -70, -156, -294, -496, -774, -1140?\n\"Answer: -2*i**3 - 2*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4*-19)\/(297\/198)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y - 333. Let g be k(-19). Suppose -g*p = -30*p + 178311. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = -4. Let j be 2\/(12\/3)*8. Solve -25 = -n*b + y, 0*b - j*y = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -8. Suppose 4*n + 6*i - i = -15, -5*n + 3*i + z = 0. Let p = -172 - -863\/5. What is the third smallest value in p, n, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + m + 1. Let p be o(-4). Suppose -j = -4*n + p, j = 5*j + 5*n - 11. Is j <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 244 = -3*i, -2*i + 5*c - 53 + 222 = 0. What is the greatest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 21*r - 28*r + (-1 + 2 + 0)*(1 - 1 - r)*(1 + 1 + 0) as m*r + v and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, o: 3, w: 4}. What is prob of sequence ozwo?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7083349 millilitres in litres?\nAnswer: 0.0007083349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 5*u**2 + 7*u + 6. Let h be y(-3). Let b(r) be the second derivative of r**3\/2 - r**2 - r. List the prime factors of b(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -414.000295 + 414. Round a to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12 - 8*h + h**2 - 4*h - h. Let g be u(14). Suppose 4*n - 16 = g*r, -2*n + 5*n + 2*r - 5 = 0. Solve n*f = f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -1058 (b) 0.4 (c) -2 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 1084059 = 9*v + v. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 25 = -8*h. Let j be (16\/(-6))\/(h\/(-18)). Let w = j - -113. Is w a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -0*p + 5*p. Calculate the remainder when 19 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - h**2 - h + 1. Let j(f) = 9*f**3 + 2*f**2 + 2*f - 4. Determine j(w) + 2*v(w).\nAnswer: 11*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3271267 is divided by 3062?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 0*p**2 - 5 + 7 - p**2 - 9*p. List the prime factors of z(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 s, 1 r, and 1 u when four letters picked without replacement from {u: 1, s: 5, b: 4, i: 5, x: 1, r: 1}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560.0399 grams to kilograms.\nAnswer: 0.5600399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-1800))\/((-4)\/(-30)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5\/3 + 104*k**4\/3 + 97*k**3\/3 - 77*k**2\/3 - 49*k\/3 + 25\/3 = 0. Calculate k.\nAnswer: -25, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6 - (-27)\/2. Let a(k) = -127*k. Let v be a(1). Let y = -67 - v. What is the greatest common divisor of z and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 6. What is the remainder when 22 is divided by k(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -132? (a) -1.8 (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 7*a**2 + 4. Let x be z(-7). Suppose -24 = -x*m - 8. Let i = -4 - -9. Solve -2 = m*d - i*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3301 is divided by 1635.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 83.9821. Let q = -2.0671 - s. Let x = q + 0.085. What is the closest to 1\/4 in -3\/7, -3\/2, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/755480 and -73\/1888700.\nAnswer: 3777400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -935736 by -7368.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, f: 1, k: 3, w: 4}. Give prob of picking 1 l and 3 k.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(40)\/(sqrt(16)\/(sqrt(8) + sqrt(288))))**2 - ((4*sqrt(350))\/sqrt(10))\/(sqrt(7)*2*2).\nAnswer: -sqrt(5) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(204)\/(sqrt(48)\/(-3*sqrt(4))))*2.\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 10*t - 7. Let r = -34 - -23. Let p be f(r). Let j be (-4*3)\/p*-7. What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152844 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - l + 4)*(-15 + 4 + 2).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4)*i**(-11))**39 assuming i is positive.\nAnswer: i**(-546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.0057698 and 0.4.\nAnswer: -1.6057698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 5*r**2 + 5*r - 6. Let j be w(-5). Let y = -20 - j. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**2 - 2 + 12*n**2 + 2 in the form t*n + q + v*n**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -2*y**5\/5 - 3*y**4\/2 - 4*y**3\/3 + 2. Solve g(o) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9715810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3730915 (b) 18 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 43094, 5 in ascending order.\nAnswer: -2, 5, 43094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18672 and 136539?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 90 - 2*z + 42 to the form h*z + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (2 + -4 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1385*u = -1384*u - 6 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4190*m. Let h(z) = -12*z**2. Calculate h(s(x)).\nAnswer: -210673200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/582)\/(13*(-1)\/4). Let x = 192\/1261 - g. What is the fourth smallest value in x, 3, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5 - 15*v**4\/4 - 5*v**3 - 5*v**2\/2 - 2*v - 3. Suppose g(o) = 0. Calculate o.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(21)\/(-5*sqrt(48)) + 3)*3.\nAnswer: -3*sqrt(7)\/20 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 36\/15 - 304\/(-10). Suppose j*w = -6*w + 44696. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q*(q\/(q*q**(2\/37)*q))\/q*q*q)\/q*q**8 assuming q is positive.\nAnswer: q**(331\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 + 4 + -2 + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11409421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**5 + 12*n**4 - 9*n**3 - 54*n**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 2844248?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n. Let w(x) = 2234579*x**2. Calculate w(q(r)).\nAnswer: 20111211*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*d + 12078 = 0, -93*d = -90*d + 6. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (13 - (10 + 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*-3)\/((sqrt(168)\/sqrt(3))\/sqrt(7)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18655, 18653, 18651, 18649, 18647, 18645?\n\"Answer: -2*g + 18657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*-3 + sqrt(34)\/(1*sqrt(2)) - (4 + sqrt(17) + -1 + sqrt(17) - sqrt(17) - (sqrt(17) - (sqrt(17) + -1))*-5).\nAnswer: -6*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/6734)\/((50\/(-35))\/(-5)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112090820.\nAnswer: 2, 5, 277, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 293a - b500?\nAnswer: -8bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**5 + 1425*k**4 - 108630*k**3 + 2473450*k**2 - 18819375*k + 16453125 = 0?\nAnswer: -351, 1, 15, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8484242 and 125658?\nAnswer: 4654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -19*r. Let b(z) = -63*z**2. What is a(b(t))?\nAnswer: 1197*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 9 - 4)*((2 + 1 - 1)*(-2 + 5 - 2) - 2 - 1 + 5)*(-u - 3*u + u)*(-3*u + u + 0*u).\nAnswer: 216*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/7 + 33*u**3\/7 - 74*u**2\/7 - 132*u\/7 + 40.\nAnswer: (u - 2)**2*(u + 2)*(u + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*m - 0*m + 4, -64*g - 2*m = -66*g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 8 = -4*p. Let i = 11 - 18. Let h = -3 - i. What is the second smallest value in 5, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1129*s**3 - 1 - 1197*s**3.\nAnswer: -68*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/18 and -71\/210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -367, -374, -381, -388, -395?\n\"Answer: -7*i - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1 - 1.9. Let q = -6.3 - f. Which is smaller: -2\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/105)\/(28\/80*(-30)\/35).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4297 + -4298. Which is the nearest to w? (a) 0 (b) -216 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5768 - -11535\/2. Put -4, 1, p, -2\/39, -0.02 in decreasing order.\nAnswer: 1, -0.02, -2\/39, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3179 + 1?\nAnswer: 317a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 8:25 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1178*h + 2360*h - 13 - 1293*h.\nAnswer: -111*h - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 309262?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 + 5 = 0. Let y(q) = -q - 7. Let u be y(-11). Solve u*g = t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3, -2*h = -108*k + 107*k + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13655939.\nAnswer: 11, 112859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 155646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74284 and 112.\nAnswer: 297136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 10\/9 (c) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 0 - (sqrt(17) + -1*-2*sqrt(17) + sqrt(17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11412?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 328, -50869, -5, -1.\nAnswer: -50869, -5, -1, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 970\/35 + (-6)\/(-21). Calculate the greatest common divisor of 140 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-10 - (5 - 7) - -3) - 44?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0. Let o = r + 0.2. Let g be 2*(-3)\/(-21)*1. Sort g, -0.2, o.\nAnswer: -0.2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -a, 3*a + 0*a + 78 = 16*h + 62*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 9:29 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(3\/(-3))\/2 + 16. Let b = a + -13. Solve -3*g + 3*v = 18, b*g + 2*v = 7*v - 27 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*h**2\/7 - 18988*h + 70880\/7.\nAnswer: 2*(h - 4430)*(15*h - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + q = 2*t - 15, -2*t + 2*q + 10 = 0. What is the second derivative of -5*s**2 + 7*s - 13*s**t + 5*s**2 + 10*s**5 wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) - (sqrt(84) + 3*sqrt(84)) - sqrt(84))*-2)\/sqrt(12)*6 - (-1*((sqrt(7) - (sqrt(28) + sqrt(7)))*4 + sqrt(7)) + 4).\nAnswer: -49*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 8*t + 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**3 - 788*l**2 - 25714 wrt l.\nAnswer: -9*l**2 - 1576*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 3 + 3795*w - 2987*w.\nAnswer: 808*w + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r - 10. Let k(s) = -s. Let n(t) = k(t) + u(t). Let f be n(3). Suppose -o - 904 = -f*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1144686 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 + 17*g - 6. Determine u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -49. Solve -7 = -f*s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15406 by 6.\nAnswer: 7703\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5909609457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 309 = -3*g, 6*g + 3*b = 9*g - 321. What is the lowest common multiple of 14 and g?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56.49466998179 from 29.\nAnswer: -27.49466998179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636185, 1272375, 1908571, 2544773, 3180981?\nAnswer: 3817195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/63*27\/2*69520\/15642\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -862\/5 - -173. Let d = 48.089 + -49.089. Let t be -1 + 3\/((-9)\/(-4)). What is the smallest value in t, -0.4, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929893641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3362222015 rounded to three dps?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -f - 3*w + 91 - 120, 2*w + 374 = 51*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - -17. Let x(f) be the second derivative of f**5\/20 + 7*f**4\/12 - f**3\/2 + 2*f**2 - 9*f. What is the remainder when n is divided by x(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 17\/3*q**3 - 55 + 1\/8*q**4 + 0*q**2 + 0*q. What is i in f(i) = 0?\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12013221222 (base 4) in base 15?\nAnswer: -21a4bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 3*n + 4, n + n = 3*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9127048, -9127035, -9127014, -9126985, -9126948, -9126903, -9126850?\nAnswer: -9126789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:34 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -4646676?\nAnswer: -2\/1161669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0180359 to 4 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 - 2*p**2 - p**2 - 2 - 5*p**3 to the form t + d*p**3 + l*p + f*p**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*q = 2*q + 2, 3*g + 5*q = 21. Suppose -3*o + 4 = -o. Factor 8*b**3 - 3*b**2 - b**o - 7*b**4 + b**4 + g*b**3.\nAnswer: -2*b**2*(b - 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 + 63012*p\/13 - 126032\/13.\nAnswer: 2*(p - 2)*(p + 31508)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4409 + -3463. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/4)*u**(3\/8))**(-17))**(-1\/67) assuming u is positive.\nAnswer: u**(153\/536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67573*h**3 + 41106?\nAnswer: -202719*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a factor of 2479400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.9846 - -0.0154. Put 4, 2, -12, g in descending order.\nAnswer: g, 4, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -120*m - 4816. What is y(-40)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 209245, 418492, 627739, 836986?\n\"Answer: 209247*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 25*h + 1676 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, 166\/3, 248?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 4*p**2 + 3*p - 9. Let o be k(3). Let i = 71 - o. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 3. Let p be n(0). Suppose -d + 5*u - 10 = -4*d, -4*u + 8 = -5*d. Suppose p*v = -d + 12. What is the third smallest value in -1\/5, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 + x + 3. Let l be (-18)\/(-9) - 0\/2. Suppose -l*v = -5*v + 3. Let z = 1 - v. Determine b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 49310173?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 95, -5 in increasing order.\nAnswer: -5, -1, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5829*v**3 + 1204 - 1211 - 5828*v**3.\nAnswer: v**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, -4, -3\/2, -1\/140?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h**4 - 6*h**3 + 6*h**2 + 4*h - 6. Let v(f) = -f**4 + f**3 - f**2 + 1. Let g(y) = o(y) + 6*v(y). What is the second derivative of g(w) wrt w?\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 155, 145, 63, -115, -413?\n\"Answer: -4*j**3 - 12*j**2 + 54*j + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 154509995320 and -3.\nAnswer: 154509995317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*z + 494*z + 93*z**2 + 491*z.\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3771 or -3772?\nAnswer: -3771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2192\/7672)\/(33\/(-168))?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43931131 and 6412?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*i + 361 = -953 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g + 6. Let m(r) = -12*r - 1. Is m(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1 + -4. Let i = k - -4.9. Let l = 5.3 - i. What is the smallest value in 0.2, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 7*w**6\/30 + 5*w**4\/12 - w**3\/2 - w**2 + 3*w. What is the second derivative of h(t) wrt t?\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-20 + -2 - -4). Let m = 30 - s. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-304)\/(-6) + 2\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/11, 1, 12\/113 in descending order.\nAnswer: 1, 12\/113, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 12*w**2 - 26*w - 47. Give x(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39870800 and 1160?\nAnswer: 1156253200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 6, g: 2, e: 4, d: 3}. What is prob of picking 1 d, 2 e, and 1 z?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*v + 29528, -5*f - 23391 = -2*v - 72598. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -28*w**2 + 76*w - 12. Let a(g) = g**2. Let y(r) = 4*a(r) + o(r). Factor y(s).\nAnswer: -4*(s - 3)*(6*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995 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: Differentiate -2469096*l - 2061224 with respect to l.\nAnswer: -2469096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00484432925 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*q**3 - 725297*q**2*t + 2*q**2 - q*t - 35*q - 926803*t wrt q?\nAnswer: 192*q - 1450594*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 6 = 9*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147704 a multiple of 499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 9*o**2 - 5*o + 22. What is x(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 91*l**2 + 8*l + 8. Let x be r(-3). Let f = -567 + x. Which is smaller: f or 237?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -1.4, -0.07, -2\/13, 4\/3 in decreasing order.\nAnswer: 4\/3, 0.16, -0.07, -2\/13, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44675 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 0.4. Let z(p) = -2*p**2 + 40*p - 195. Let r be z(9). What is the smallest value in 2\/7, 7, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 985893*v**5 - 3553*v**2 + 3*v + 30.\nAnswer: 59153580*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12724755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -319*a**2 + 23*a + 22. What is g(-1)?\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6324884 is divided by 291.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((3 + 0)\/1)\/((-3)\/3). Is 11072\/88 - (-4)\/22 - n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (127 + -130)*(500\/6)\/(-2). Let u = 2064 - w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(1*-2*sqrt(125))**2 + -5*-2*(-4*(sqrt(5) - sqrt(25)\/sqrt(5))*1)**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 - (-582)\/189)\/(1\/(-39)) and 260\/(-1632) + (-11)\/(748\/(-8)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9c (base 13) to base 9.\nAnswer: -2856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 489915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0973? (a) 1.55 (b) 3 (c) -4\/7 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35668 and -0.03.\nAnswer: -1070.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:06 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 + 0*w**2 - 4*w**2 + (w + 2*w - 5*w)*(-2*w + 0*w + 0*w) - 12 + 12 + 6*w**2 as h*w**2 + i + b*w and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1332)\/(-10))\/(((-17)\/(-85))\/((-406)\/(-21)))?\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 14. Let h be 39\/13 - (1 - 6\/c). Suppose -h + 1\/2*m**2 + 1\/2*m**3 - 1\/2*m = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7317 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 - i**4 + 3*i**4 + (-18*i + 14*i + 14*i)*(-4*i**3 + 7*i**3 - i**3) + 2*i**4 - 5*i**4 + 5*i**4.\nAnswer: 21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and -32.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Let j = 3.7 - o. Which is the third biggest value? (a) -3 (b) -1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**2 - 78*b - 14*b**2 - 14*b**2 + 59*b**2 - 13*b**2.\nAnswer: b**2 - 78*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1059.\nAnswer: -4236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 10 = -f - 4*c, 4*f + 5*c = 20. Suppose -a = 3*a - 2*s, a + 2*s - f = 0. Solve 0 = 3*n + 4*k - a, 0 = -2*n - 0*n + 5*k - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - m)*(4 - 4 - 2) - m - 5*m - 4*m)*(m - 2*m - m - 11) to f*m**2 + a*m + j and give a.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3) + 4\/(-6). Let h = -120204 + 120207. Solve l = 5*i + h - 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6740.352 millimeters in meters?\nAnswer: 6.740352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -41862*m - 376780. Calculate f(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x + 1. Suppose -770*a + 144 = -758*a. What is the smallest common multiple of n(-3) and a?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*k - 4*a = -218*k + 633, -3*k = 4*a + 1867. Put k, 0.3, -3\/2 in increasing order.\nAnswer: k, -3\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**4 + 3745*x**3 + 22335*x**2 + 33455*x + 14860 = 0 for x.\nAnswer: -743, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 4*x + 5*x + 2 + 2*x**2. Is 16 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 577, -115, 2 in decreasing order.\nAnswer: 577, 2, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 6, n: 2, y: 3, j: 3, t: 4}. Give prob of sequence bn.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/92)\/((-50)\/(-4)*(-910)\/(-13650)).\nAnswer: -24\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 83635243.\nAnswer: 83635239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {q: 1, p: 4, b: 2, j: 1, r: 2, e: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 7393980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/7 + 87*t**2 + 4311*t - 30785\/7 = 0. Calculate t.\nAnswer: -47, 1, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 40 = -3*h. Calculate the highest common factor of 56 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-5175)*115*23*3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 90.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 4*z - 3*z)*(2*z - 2*z + 4*z)*(-40*z + 40*z - 6*z**2)*(2 + 0 - 6) as r*z**3 + x*z**2 + l + g*z**4 + t*z and give g.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -290 - -291. What is the closest to i in -5, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 5. Let f = 62 - 54. Let r be c(f). Suppose -r*q - 6*q = q. Solve q*a + a + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 37 + 25 = 0, m = -v + 6. Let a = -2 + 3. Solve -b - a = -m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + -4*(1 + (1 + sqrt(288) - sqrt(288)) + sqrt(288) + (sqrt(288)*1 - sqrt(288))*4 + sqrt(288)) + -3)**2.\nAnswer: 1152*sqrt(2) + 18472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 2466.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3142 - 3158 + 3*j**2 - 24*j - 6*j**2. Let r be o(-7). Let l = -1\/24 + -5\/24. What is the third smallest value in l, r, 0, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.3 + 20.3. Let k = -0.38 - 0.02. Let l = 0.2 + k. What is the nearest to -1\/3 in z, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 684*o**2 - 670*o + 4092.\nAnswer: -2*(o - 2)*(o + 3)*(o + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-4)**2 + -5.\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 7*z - 4. Let u be c(-5). Suppose -u = 3*a + 3. What is the second biggest value in 0.5, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - a + 4*a. Suppose -77 = 2*l - 5*k - 2, 5*k = -2*l - 45. Let n(o) = 6*o**2 - 30*o. Let b(i) = i. Let j(z) = l*b(z) - n(z). Give j(q(r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6\/m)\/((m\/m**(-4\/3))\/m))**(-8\/15)*((m**(2\/7))**(-3))**(-20) assuming m is positive.\nAnswer: m**(4784\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, s: 3, z: 1}. What is prob of picking 2 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 4\/7, -0.2, 48, 0.393?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -7*o**6\/540 + 341*o**5\/270 + 112*o**4\/27 + 100*o**3\/27 - 73*o**2. Suppose y(z) = 0. What is z?\nAnswer: -1, -2\/7, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2970 divided by -39.\nAnswer: 990\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -227, -24\/7, 13?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -924002 + 0.\nAnswer: -924002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -643, -1364, -2085?\nAnswer: -2806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (54447\/6)\/((-74)\/(-148)).\nAnswer: 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 11*u**2 - 13*u + 18. Is r(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -1644564?\nAnswer: -1644564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7202805047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16*-0.81\nAnswer: 12.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 1.4. Let f = -6.7 + 7. Let d = -2645 - -44959\/17. Which is the closest to d? (a) h (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73.97561 litres?\nAnswer: 73975.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -18, -41, -74?\n\"Answer: -5*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12268937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/(d**(-2)\/d))**(6\/25))**(-40\/7) assuming d is positive.\nAnswer: d**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -0.73, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 + 1.48. Let r = 20.82 - 21. Let t = r + l. Which is the second biggest value? (a) 2\/3 (b) 4\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 3*y. Let c be (-5)\/(15\/24) - 0. Let f be w(c). Let r = 134 - f. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12254, 11953, 11458, 10775, 9910, 8869, 7658?\n\"Answer: o**3 - 103*o**2 + o + 12355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\/(-32)*(-80)\/(-24)*-3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15605 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*l**6*o**2 + 361828*l**6 + 3*l**2*o**2 + l**2 + 2*l*o + 138892*l + 1 wrt l?\nAnswer: 8880*l**3*o**2 + 43419360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/((-7252)\/185))\/((-165)\/72)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6717.40066 rounded to the nearest ten?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/2 - 1217*u\/2 - 179676 = 0 for u.\nAnswer: -713, -504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from wdrkrsrsdjkrwsd?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2. Let m(u) be the third derivative of -163*u**4\/12 - 5*u**2 - 36*u. Calculate m(q(l)).\nAnswer: 978*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 114492015 = 5*k, x - 21330399 = 11*k + 35915568. Round x to the nearest one hundred thousand.\nAnswer: 57200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8655 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 25915 = -31*r. Let q = r + -3544. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5 - 33*y**4 - 30*y**3 + 318*y**2 - 399*y + 147 = 0. Calculate y.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/15 + (-24)\/18. Factor 0*x - 1\/10*x**2 + d.\nAnswer: -x**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1111101011011110000011?\nAnswer: 1111101011011110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(104)\/sqrt(8) + -3 + sqrt(104)\/sqrt(8) + sqrt(117)\/sqrt(9) + -3 + (sqrt(1053) - (sqrt(1053) - (sqrt(1053) + -3 + sqrt(1053))))**2.\nAnswer: -100*sqrt(13) + 4215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(48\/(-72)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227 by 309896.\nAnswer: 227\/309896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614410.\nAnswer: 2, 5, 61441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 42865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 10. Let d be w(7). Let b be 767\/7 + d\/(-7). Suppose h + 4*h = b. 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 the remainder when (-9 - -3)*6*5\/(-10) is divided by (2 - (-4 - -5))*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 255, 474, 811, 1284, 1911?\nAnswer: 2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8606 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 1, n: 3, d: 2, q: 1, m: 3}. What is prob of picking 1 r and 2 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2982 and 57989463.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.2 - 12.2. Is 0.043 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**4\/4 - x**3\/6 + 15*x**2\/2 - x. Let g = 643 - 648. What is the units digit of p(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3520346, 3520407, 3520468, 3520529?\n\"Answer: 61*r + 3520285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (479*v + 311*v - 129*v)*(7 - 9 + 5) to the form t*v + i and give t.\nAnswer: 1983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 206 - 181. Solve 0 = 2*f + 3*f - n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*(-109)\/(981\/54).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6960.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*b - 8, 4*b - a = a + 14. Let v(w) = -w**3 + 1. Let m(k) = -2*k**3 + 6. Determine b*v(h) - m(h).\nAnswer: -h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 3*h**2 - 4*h**2 + (-88*h + 144*h + 260*h)*(-h - h + 3*h).\nAnswer: 314*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-2 + 1\/1). Let x = a - -5. Suppose 2*m = c + 7, 0 = -3*m - 9*c + 7*c + 7. Solve -4 - x = -m*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 8*y - 6. Let k be d(8). Let c be (-14)\/21 + (-28)\/k. Solve -q + 1 = -2*s + c, 2*q + s = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3 (c) -0.3 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*r + 72*r - 43*r + 232*r + 96*r - 15*r.\nAnswer: 421*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 123 + 25. Suppose 0 = 5*t - 28 - 37. What is the remainder when q is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*m - 8. Suppose 4*x + 3*i = 15, -4*x = m*i + i - 12. Suppose 0 = 5*y - 5*f + 15, -x*f + 15 = -y - f. Solve 0*s + s + 1 = y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109736 and 165880?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 9.2. Let x(h) = h**3 + 22*h**2 + 21*h - 1. Let c be x(-21). What is the closest to a in -0.3, c, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**5\/5 + j**4\/12 - j**3\/3 + j**2\/2 - j - 2. Let s(c) be the first derivative of v(c). Let k = -1 + 2. Give s(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 12*r - 19*r - 14*r + 37*r. Let q(a) = -a**2 + a. Calculate d(u) + 6*q(u).\nAnswer: -6*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -10*f - 2345. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3529065, 3529082, 3529099?\n\"Answer: 17*x + 3529048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168135*i**3*q + 2719717*i**3 + 26*i**2*q + 2*i wrt q.\nAnswer: -168135*i**3 + 26*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n**2 + 0*n**2 + (-4*n + 0*n + 6*n)*(-2 + 2 - n) + 4*n**2 - n**2 - 5*n**2 + 0 - n**2 + 0 as z*n + y*n**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 700489219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**7*j))\/(j*(j*j\/(j*j*j**0))\/j))\/(((j**(-3)\/j*j)\/j)\/j**(3\/7))*(j**1*j)**(1\/18)\/(j**(2\/11)*(j*j\/(j**(-1)*j)*j)\/j) assuming j is positive.\nAnswer: j**(-3217\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0496 (b) -8.4 (c) 4\/5 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(3)*1))\/(sqrt(44) + (sqrt(88)\/sqrt(2) - sqrt(44))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6*(110\/(-15))\/(-11)*21\/(-7)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 971*w + 542*w + 1974 = -1052 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i + 144. Let d be r(-15). Let m(j) = 0*j - 21 + 0*j - 4*j + 3*j. Let k be m(d). Put -2, k, 2 in descending order.\nAnswer: 2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (sqrt(2448) - (sqrt(2448) + 2))*6 + (sqrt(2448) - (-4 + 3*sqrt(2448))))**2.\nAnswer: 480*sqrt(17) + 9888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202349\/287310 + -229\/785. What is the common denominator of t and 19\/13?\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 47*z. Let m(r) = 608*r. Let p(y) = -5*m(y) + 64*q(y). Let d(a) = 11*a. Give p(d(l)).\nAnswer: -352*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + 0 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-6)*v**(-28)\/v assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 g when three letters picked without replacement from {g: 14, v: 5}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.9. Let v = 2591 - 80339\/31. Let m = -165\/124 - v. What is the third smallest value in 0, m, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 3)\/(-3) + 0. Let q = 376 + -381. Sort p, 2, q in ascending order.\nAnswer: q, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.657 times 5?\nAnswer: 3.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(198\/26) + 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/39)*v*v**(8\/5)*(v*v**(-9))\/(v**(-7\/4)*v))**(-12) assuming v is positive.\nAnswer: v**(3587\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 109. Let u be 27\/(-9) - p\/(-2). What is the highest common factor of 34 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 - 2) - (-11 + 21 + -39).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 241*v - 1947. Give q(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {k: 1, r: 4, c: 2, n: 2, m: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*n*q*w**3 - 5*n*q*w - 132*n + 2*q*w**3 + 312836*w**3 wrt n.\nAnswer: 6*q*w**3 - 5*q*w - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 10*m**2 - 9*m + 4. Give t(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 19507.\nAnswer: 3043092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*l - 172*l - 598 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**2*t**2 - 2*c**2*t - 24*c**2 + 1411*c*t**2 + 198*c wrt t?\nAnswer: -6*c**2*t - 2*c**2 + 2822*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55307.\nAnswer: 7, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261.3 + 261. Let y = -1 + 1. Let t = -7541 + 7538. Which is the biggest value? (a) y (b) t (c) l (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782312249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7790561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 23, 2, -285.\nAnswer: -285, -61, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1464*i**3 - 2452*i**3 + 74 + 2027*i**3.\nAnswer: 1039*i**3 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 588310009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 5*m + 1. Let p be k(5). Let z = p + -23. Suppose z*x - 4*r = 85, -43 = -4*x + r + 92. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14.2 + 2660576\nAnswer: 2660561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.21 + 1.79. Which is the nearest to 10? (a) -2 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3842 - 0.0903.\nAnswer: -3842.0903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -5*s + 2*s. What is the tens digit of 110\/s*8\/(1\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*-1 + (1196694\/(-12460))\/(-747).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 - (104 + -182)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 554622*p. Let i(d) = -d. Let f(t) = -84*i(t) + 6*x(t). Let w be f(1). Let v = 8627816 - w. Round v to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (26 + 0 + 2). Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 875580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(5\/8))**3 assuming y is positive.\nAnswer: y**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-279)\/2232)\/(5\/4160)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/2*2 - -3465?\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/((-3)\/(-111)). Find the common denominator of 87\/98 and (-10)\/(-35) - h\/35.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 t when four letters picked without replacement from gttkcwwtwtwqqq.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -29*b**3 + 6*b - 11. Let z(c) = 146*c**3 - 2*c**2 - 34*c + 59. Calculate 11*l(n) + 2*z(n).\nAnswer: -27*n**3 - 4*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 4*r + 4*r)*(4*r + 0*r - 2*r)*(137*r - 1082 + 1082) as d*r + m*r**3 + l*r**2 + q and give m.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.61636 - -3.245. Let p = -567.37 - -567. Let q = p - i. Round q to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*d + 16 = 25*n - 18*n, 125 = 13*n - 32*d + 34*d for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.9 to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -948*i**2. Let x(c) = -2*c**2. Determine x(y(q)).\nAnswer: -1797408*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnt when three letters picked without replacement from yrynnytryrryvyny.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 39. Suppose -258*f - 472 = 35*f + 1872. Calculate q(f).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1719 + 22135 = -928*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34459 (base 10) in base 7?\nAnswer: 202315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + 1. Suppose -4*x - 8 - 12 = 0, -x = -2*a + 15. Suppose 0 = 3*l - a - 7. Suppose l*d + 4 = 4*q, d + 0 = 2*q - 1. Give h(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19895 and 2370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92.2 + 5479583.8.\nAnswer: 5479491.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 48.7 (b) 0.3 (c) -0.0939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 14*a + 18. Suppose -15595 = -22*p + 17295. Suppose -4*d + 27*d = p. What is the remainder when d is divided by m(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:32 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 292213 - 146110 - 146103.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*h + 232, 14 = -q - 3*h - 92. Let k = q - -155. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/117 and 1\/51768?\nAnswer: 672984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 2:05 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1953627*b**2 + 9*b - 44888056 wrt b?\nAnswer: -3907254*b + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6499*h - 2178*h = 1992*h + 309401 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 696561\/19822 - 773\/22. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1226 - -1225.7. What is the fourth smallest value in -1.2, -3, 10, q?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 2. Let g(h) = -h**3 + 3*h + 2. Let q be g(-2). Let o be u(q). Solve -i = 4*m + 8, o*m - 3*m + i = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51288 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/7 + 12\/7*z - 2\/7*z**2.\nAnswer: -2*(z - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**3 - 5*g**2 + 2*g - 3. Suppose 0 = -12*v - 23 - 61. Let i(w) = -10*w**3 - 7*w**2 + 3*w - 4. Give v*y(h) + 5*i(h).\nAnswer: -h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9571959.2 rounded to the nearest 100000?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -277 and -7?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.96 - -1.98. What is the second biggest value in r, -1, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*4\/(-32)*-4. Let v(m) be the third derivative of 1\/96*m**6 - 2*m**2 + 0 + 0*m + 7\/240*m**5 + 1\/48*m**4 + 0*m**d. Factor v(w).\nAnswer: w*(w + 1)*(5*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28*-12013\nAnswer: -336364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -0.9. Let t = 229597\/364 + -8296\/13. Let q = -57\/7 - t. Put q, x, -0.1 in ascending order.\nAnswer: x, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5690302 by -2.\nAnswer: -2845151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*p. Let u = 29 + -27. Sort 5, -3, p, u in decreasing order.\nAnswer: 5, u, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 9:43 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*d + 129*d - 17*m + 28 = -21*m, -m + 281 = 31*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 divided by -20?\nAnswer: 111\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10368847 is divided by 2073747.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330100011 - 0?\nAnswer: -330100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2. Let b(d) = -1062*d**2. What is f(b(q))?\nAnswer: -4511376*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45009269.\nAnswer: 2801, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 5*n - 7. Let h be j(-5). Let v(g) = g + 3. Let q be v(h). Is (q - 0\/(-1))*-5 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 2*n + 7. Let s(i) = 71*i**2 - 22*i + 1269. Let j(o) = -90*a(o) - 5*s(o). Factor j(v).\nAnswer: 5*(v - 45)*(v + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 28*g - 1. Suppose 42*m + 3*m = 9*m + 108. Let u(s) = 29*s - 1. Give m*k(r) - 4*u(r).\nAnswer: -32*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 9:27 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50, 68, 94, 134, 194, 280, 398?\n\"Answer: a**3 - 2*a**2 + 17*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 - -180. Let i = -1\/3610 - 37001\/5415. What is the common denominator of i and (z\/2)\/(-19 + 9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r - 3 = 0. Let j be (5\/2 - r)*-188. Suppose -4*g = 0, -5*c + 1 = 3*g - j. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 7296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 251255 (base 9) to base 13\nAnswer: 54164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 892620 or 2\/3?\nAnswer: 892620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 342, 497, 652, 807, 962?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1718? (a) -3 (b) -2 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 222?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:49 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13 + 14\/70*65. Solve 10 = -2*w + 4*z, g = -w - 4*z - 4 + 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2502 = 2*p - 5*a, 20*p = 16*p - 4*a + 5004. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062473.\nAnswer: 17, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 1. Let s(q) = 17*q**2 - 3*q + 2. Let g(b) = -2*m(b) + s(b). Let l = 2 - 0. Let o be g(l). Calculate the highest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + 3 - (-2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65.085 - -0.085. Let f = s + 43. Let h = -88 - -89. Which is the closest to h? (a) -3 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000338717 to 7 decimal places.\nAnswer: 0.0000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*g**5 + 2*g**2 + 127*g?\nAnswer: 6780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17430, 17138, 16832, 16506, 16154, 15770, 15348?\n\"Answer: -j**3 - j**2 - 282*j + 17714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*w - 781 = 167. Solve 2*x = -2*h - w, -71*x + 66*x = -5*h - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5575, -5570, -5561, -5548?\nAnswer: -5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -94082, -94081, -94080?\n\"Answer: z - 94083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 21*o**2 - 1973*o - 1951. Determine v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 49 * 0.9\nAnswer: 44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 - -1769?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -393\/6319 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**7\/1680 - k**5\/12 - 3*k**2. Let b(a) be the third derivative of l(a). Let f(s) = 5*s. What is b(f(n))?\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 9*p + 1. Let h = 67 - 48. Let c = h + -26. Is w(c) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 2174 = -30*q - 2*a, -q = 4*a - 706. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21110112121 + 12?\nAnswer: 21110112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 896?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 55, 41, 31, 25, 23, 25?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 4, u: 6, t: 2}. What is prob of picking 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/25 - -2\/225. What is the nearest to -2 in 0.2, l, -0.04?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 8) to base 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -r - 30, 0 = -3*r + d - 36 + 11. Which is bigger: r or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20765 (base 8) in base 10?\nAnswer: -8693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -16*p - 30. Let i = p - -283\/47. Let s be 6 + 0 + ((-190)\/30 - -1). What is the third smallest value in 0.2, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 2. Let x be a(7). Let d = 10 + x. Let r = -2514 - -2510. Put 0, d, r in increasing order.\nAnswer: r, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 9:17 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 2. Let v(a) = -a - 3. Let i(k) = -4*n(k) + 5*v(k). Let d(z) = -z**2 - 5*z - 4. Let r be d(-6). What is the remainder when 4 is divided by i(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 2*s + 1. Let n be q(2). Let k(z) = z - 7. Let c be k(6). Let b = c - n. Calculate the greatest common factor of b and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h - 3433 = -508. Which is smaller: -49 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -224?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(576) - (sqrt(576) + -1*sqrt(576)*1))\/(sqrt(48)*5))**2.\nAnswer: 4*sqrt(3)\/5 + 37\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/44 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 64 = 2*x, 4*f = 5*x + 181 - 89 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 7:22 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 (base 8) in base 5?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00117083 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 3*j + 3. Let n(d) = 27*d - 8 + 30*d - 11*d**2 - 49*d. Let c be 0 + 3*3 - 1. What is c*h(y) + 3*n(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74960.1671 + -74953. Round b to two dps.\nAnswer: 7.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 1.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 2*m**2 + 12*m - 3. Let h(k) = -k**3 - k**2 + 2*k - 1. Determine -6*h(v) + z(v).\nAnswer: 8*v**3 + 4*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.2 + 6. Let n = d + 0.4. Let u = 0.2058 - n. Round u to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 11) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87644 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 1, j: 2, t: 2, h: 2}. What is prob of sequence hth?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**6\/6 - h**5\/5 + h**4\/4 + h**3\/3 + 49. Suppose q(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17097945611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -4, -10, -16?\n\"Answer: -6*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 736 - 568. What is the tens digit of (w\/140)\/((-3)\/(-1940))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 30*y**3 + 2429*y**2 - 73*y + 561. Calculate j(-81).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04395 and -0.4.\nAnswer: 0.01758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*k - 9. Let a(n) = 7*n - 8. Let g(z) = -28*z + 33. Let m(x) = 26*a(x) + 6*g(x). Is 8 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -11*b + 8*b. Let g = -40 - b. What is the second derivative of -g*o**3 + 1472*o - 1451*o + 3*o**3 wrt o?\nAnswer: -240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-5)\/(10 + -6)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 164 = -96 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*b + 2328*b**3 + 6*b - 56*b.\nAnswer: 2328*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -5 (c) 554 (d) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f. Let s(g) = 0*g - 2*g - 2*g + g. Give d(s(j)).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 28. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*g**2 - 6*g**2 + 57*g + 102 - g**2 - 15*g**2.\nAnswer: 3*(g + 2)*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 15) in base 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 10*d**2 + 15*d + 284. Calculate the remainder when 1195 is divided by a(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73786774 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*((-5*sqrt(300)*1)**2 + (-3 + sqrt(300))**2 + -2).\nAnswer: -600*sqrt(3) + 78070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*f**4 + 24 + 116*f**4 - 36)*(-1 + 3 - 4).\nAnswer: -48*f**4 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3493 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(5\/4)\/u)\/u*u**(-2\/11)\/u*(u**(1\/4))**(-46))\/(((u\/(u**(-7)*u))\/u**(-6))\/(u**4\/(u**(-8\/5)*u))) assuming u is positive.\nAnswer: u**(-4583\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -30. Let g(a) = a - 25. Let v(t) = 6*g(t) - 5*y(t). Let i(j) = -2*j + j - j. Calculate v(i(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzcnmcacanbznb. What is prob of sequence ba?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8479195339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrrn when four letters picked without replacement from {r: 7, n: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-6)*20\/75.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 880040775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**2*x**2 + o**2*x + 127*o*x**3 - 168*x**3 wrt o.\nAnswer: 2*o*x**2 + 2*o*x + 127*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 153008*-0.1\nAnswer: -15300.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 54 = 13*z. Let f = -2951\/2 + 1449. Let i = z - f. Which is the nearest to 2? (a) -1\/10 (b) i (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v + 6, 310 = 2*t - 5*v. Which is smaller: 1269\/8 or t?\nAnswer: 1269\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/10 + (-147)\/180 and 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108622185311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 278523925 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-2766839.\nAnswer: 19367873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2. Let w(f) = -3*f**2 - 2. Let j(c) = c**2 + 1. Let z(v) = 2*j(v) + w(v). What is b(z(d))?\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40133 is divided by 232?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2530 (b) -0.3 (c) 2\/11 (d) 1\/4 (e) 3 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3 - 1 + 2*s + 0*s. Let a(b) = b - 5. Let n be a(5). Suppose n = 5*q - 88 + 78. What is k(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 - 2*s**2 + 176*s\/3 - 968\/9.\nAnswer: -2*(s - 11)*(s - 2)*(s + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/4 - 827835*f**2\/4 + 11383474*f - 11176515 = 0.\nAnswer: -827890, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5 - 7. What is the greatest common divisor of 24 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2212 by -553.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4*n - 5*n)*(-129 - 63 - 95 - 28).\nAnswer: 1260*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 404*n - 824.\nAnswer: 4*(n - 2)*(n + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -201003113?\nAnswer: 201003103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -1) + (6 - 0) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2. Suppose 4*m - 7 + 3 = 0. Let j be 4\/16 + (-23)\/(-4) + m. Let k(t) = -6*t + 4*t - 13*t - j*t. Calculate k(w(q)).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(600)*-4)\/(sqrt(8) + (sqrt(8) - sqrt(96)\/sqrt(12)*1)))**2.\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 2. Let s be g(3). Suppose -38*f - 68 = -4*a - 34*f, 0 = 3*a + f - 31. Suppose -s*v - a = -10*v. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 45*a - 5. Let m(h) = -h - 7. Let n be m(-13). Suppose 3*g + n = 12. Is x(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*x**3 + 753359*x - 753359*x + 111*x**3 + 120*x**3.\nAnswer: 159*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4062, -8098, -12144, -16206, -20290, -24402, -28548, -32734?\nAnswer: -36966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45331031 (base 6) in base 3?\nAnswer: -2121010122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -31 (b) 13\/2 (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/30)\/((83\/(-1245))\/(((-4)\/(-78))\/(-2)))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7663039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5782 + 11225 + 8*g**2 - 5691 + g + (5*g - 4*g + 0*g)*(g + 1 - 1) in the form v*g + q + d*g**2 and give q.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724118.6ug to grams.\nAnswer: 0.7241186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*a + 3, 3*a - 4*a = 5*k + 15. Let r be (3*k\/36)\/((-1)\/8). Factor -4*i + 5\/2*i**2 - r.\nAnswer: (i - 2)*(5*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4030*v + 4033*v + 4 = i, 2*i = -3*v + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/850 and ((-30)\/(-7))\/(48\/(-32)).\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = o, -7*d - 10 = -5*d. Calculate the remainder when 26 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2779 + 1294. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/4991887?\nAnswer: 2\/4991887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195 - 171. What is the smallest common multiple of v and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.9. Let y = -71 + 75. Put -4, y, u in descending order.\nAnswer: y, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000036465 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 0.44. Let j = -431.9735 - 0.0265. Let s = j - -431. What is the closest to s in 0.2, 0.02, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + t. Let o(k) = -7*k**2 + 4*k + 8. Let p(s) = o(s) + 5*w(s). Let d be p(5). Solve 25 = -5*j + g, -5*j - d*g + 3 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13184, -13296, -13408, -13520?\nAnswer: -13632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 521216548 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*s - 46, 2*s - 4*w - 48 = 8. What is the second derivative of s*g**4 - 9*g - 3*g - 7*g**4 wrt g?\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8893050 and 3201498?\nAnswer: 80037450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630712 is divided by 630619.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5 - 186*q**4 - 8828*q**3 - 16184*q**2 + 35328*q + 67712 = 0.\nAnswer: -92, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 + 8*t**2 - 9. Let k be w(-7). Let u = -2899 + k. Let c = -316455 + u. Round c to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 11) to base 9\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-39) + (-4)\/26)\/((-60)\/60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -16. Suppose s - 4*k - 12 = -b*k, 2*k = s - 37. What is the lowest common multiple of s and 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65674060?\nAnswer: 2, 5, 17, 419, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -121. Suppose m + 284 = 5*m. Suppose m - 18 = v. What is the remainder when v is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 + i**2 + 279 - 282 - i**3 in the form t*i**3 + c*i**2 + q*i + a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100000110 + 101?\nAnswer: 11110100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184*v**3*w - 2*v**3 - v**2*w + 5*v**2 - 3*v*w + 14*w wrt v.\nAnswer: -1104*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102926487 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 10*p - 15*p. Suppose 12 = -4*g, -p = -z + 4*g - 1. Suppose -2*m = -4*j + 24, z*j + 5*m = 8*m + 26. Solve -2*l = -j*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*p + 83 = -0*r, 5 = p. Suppose -r = -2*q + 2*c, -q + 6*c + 31 = 3*c. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 38*n**2 + 43*n - 6. Let o be l(18). Let a be (5 + -2)\/(o\/(-16) + 9). Solve 0 = c - a - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 + 0 = 0. Let a be (-8)\/f*(-60)\/80. Solve -4 + 13 = -3*s + a*q, 3*q - 5 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qilifzioiqioqiflio. Give prob of sequence oiz.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2. Let a(r) = -2*r + 24. Let l be a(3). Let m(g) = -l*g**2 - 5*g - 5238 + 5238 + 3*g. Calculate q(m(f)).\nAnswer: -972*f**4 - 216*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -9\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**2)**(-2\/41))**17)**43 assuming d is positive.\nAnswer: d**(-2924\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101000 + 1110?\nAnswer: 100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000244527 to seven dps.\nAnswer: 0.0002445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -2)*(6 + -3 - 5). Let n(j) = -j**2 - 8*j - 7. Let x be n(-6). Sort -1, x, f in descending order.\nAnswer: x, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.3 + 22.4. Let y = 8 + -11. Which is the nearest to j? (a) y (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11524 >= -33\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*p + 14, 3*p = -3*n + 9 - 3. Let z be (p + 1)\/(15\/195). Let v = z + 57. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 945 - 232. Let k = -321 + x. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -928*b - 62*b - 259*b - 17486 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 226212231 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2695.\nAnswer: 3\/2695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 8*b + 14. Let p be a(10). Let t be p\/(-5)*25\/15. Is (t\/8*-254)\/(3\/(-42)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 - 530\/3. Which is the second smallest value? (a) -2\/15 (b) 1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 + 1516*g + 1512 = 0.\nAnswer: -378, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 - 179. What is the highest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)\/(l**(3\/2)*l))\/((l*l**(-11))\/(l**(-3\/13)*l)) assuming l is positive.\nAnswer: l**(-45\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-78)\/65)\/((-3)\/37005). What are the prime factors of (-1)\/(-4) - (-5 - w\/24)?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 91. Sort -3, m, 54 in decreasing order.\nAnswer: 54, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6592 and 1236?\nAnswer: 19776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 14*q**2 - 2*q + 7. Let n be r(2). Let t be (-2)\/(-4) - 142\/(-4). Let y = n - t. What is the highest common divisor of 184 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 104 = 5*y, -4*d = -0*y + y - 30. Suppose 8 - 26 = -3*o. What is the remainder when y is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {c: 1, m: 4, s: 9, g: 3, f: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-1) - (-59 + -21). Let r = y + -24. What is the highest common divisor of r and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2687 = 4*y - 365. Let s(f) = -10*f + 91. Let v be s(-14). Suppose 7*b - y = -v. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -6 (c) 7 (d) -4\/7 (e) -2102 (f) -5 (g) 36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:15 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2130*a**3 + 1662*a**3 - 5443*a**3.\nAnswer: -5911*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419144 (base 10) to base 6.\nAnswer: 12552252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 398, 397?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or 16?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11304.15 litres to millilitres.\nAnswer: 11304150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 9, 39, 75, 117, 165?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -430\/1773 + 4\/197. Which is the nearest to -2? (a) q (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, j: 5, f: 2}. Give prob of sequence jfj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186 and 779402?\nAnswer: 2338206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.2, -5, -1, -16\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -518*b**2 + 516*b + 1. Determine x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 45599505 and 45599505 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*s = -3*j + 550, -3*j - s + 1682 = 0. List the prime factors of j.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -10*y**3\/3 - y**2\/2 + 25*y. Find the first derivative of f(b) wrt b.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(539) - (0 + sqrt(539)) - sqrt(539)) + 1)**2.\nAnswer: -56*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-276)\/(-80))*24\/9?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 449 + -176231?\nAnswer: -175782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 19573*q - 36. Let g(m) = 4895*m - 8. Calculate 18*g(a) - 4*v(a).\nAnswer: 9818*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -6. Let i(r) = 2*r**3 + 13*r**2 - 15*r - 51. Let p be i(-7). Solve -m = 5*o + p, -m + 3 = -o + d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - -7.5. Let f = r - 3.1. What is the nearest to 2\/9 in -4, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*y**3 - 5*y**3 + 5*y - y - 3*y - 98*y**2 - y**4 + 87*y**2 in the form p*y**4 + i*y**2 + c*y + t + b*y**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 - 1 + 1 + (5*n**2 + 0*n**2 - 3*n**2)*(5*n - 4*n + 2*n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 89151 = -j, -138*v + 137*v - 2*j = -89144. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54543*y = 4*s + 54539*y - 24, 0 = -3*s - y + 38 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.6 - 21. Let g = p - 1.9. Let o be 5\/6*168\/630. Which is the second smallest value? (a) g (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 10*m + 3. Let t be w(7). Suppose f + 7 = y, -15 = -5*y + f + t. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 135\/(-2)*((-239382)\/65)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -227, 0, -5 in descending order.\nAnswer: 0, -1, -5, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10*h + 7. Calculate the remainder when s(-3) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5520.805 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 4:03 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 + 8*p - 82. Let x be w(3). What is the second biggest value in -1\/4, x, -373.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*q + 36 + 93 - 33*q - 2 in the form z + h*q and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -8, -33, -78, -149?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 507.98 - 508.38. Suppose 0*k = 3*k. Suppose 4*y = 0, 4*j = -k*j + y. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5012, 5011, 5010?\nAnswer: 5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 - 2*r**4)*(-3*r + 5*r - 4*r + 4*r + 4*r - 3*r + (0 + 0 - 1)*(-r + 2*r - 2*r) - r + 0*r - r + 0 + 2 + r + 1).\nAnswer: -6*r**5 - 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-7) - (-2)\/7. Let q be 5\/(-3) - (l + 1). Let s = -3 + 3.5. Which is the second smallest value? (a) -2 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(130) - -1*(sqrt(130) + sqrt(130)*4)))\/(-2*4*sqrt(160))*-3.\nAnswer: -9*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/((w\/(w\/(w*w**5))*w)\/w)))\/w)\/(w\/(((w**24\/w)\/w)\/w*w)))\/(((w*w\/(w*w*w**9)*w*w)\/w)\/w**16) assuming w is positive.\nAnswer: w**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163173911 and 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjmsilnsn. Give prob of sequence isj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:20 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -35?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**4 + n**3 - 19430*n - 251830?\nAnswer: -4*n**3 + 3*n**2 - 19430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17485 - 10.42\nAnswer: -17495.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0012 + 0.0112. What is the closest to -1 in -4, b, 3, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20945 = -5*g, 0 = 6*c - 4*c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16671616.\nAnswer: 2, 13, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94 and 49344.\nAnswer: -4638336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, 4, 24, 62, 124, 216?\n\"Answer: s**3 + s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*l**2 + 15*l**2 + 1182 - 986*l + 423*l - 616*l.\nAnswer: -3*(l - 1)*(l + 394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 334.94 + -332. Let w = 0.1 + 2.9. Let z = w - j. Which is the nearest to 2\/7? (a) 0 (b) -3\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 8*j + 2. Let m be d(4). Suppose v + 24 = 5*v. What is the greatest common factor of m and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2223 and 5175252?\nAnswer: 1278287244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.0613757.\nAnswer: 0.03068785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + 28. Let s be 20\/(-25)*x\/6. What is the units digit of 73 + ((-4)\/s)\/((-1)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 - (-2)\/6. Let w be 20\/(-15) - 25\/(-3). Suppose -6*l + w = 1. Solve l = s - 2*y - y, k = 4*s - 2*y - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mzmcbzz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 2*v**2 - 5*v**2)*(2*v - 2*v**3 - 2*v) + 200*v**3 - 17*v**5 - 200*v**3.\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -555431 + -2104?\nAnswer: -1001535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 302480499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.427.\nAnswer: -0.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 220997700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*i - i - 106 = 68318*k - 68309*k, i + 19 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -542, -4065, -13460, -31613, -61410, -105737, -167480, -249525?\n\"Answer: -481*j**3 - 50*j**2 - 6*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8287.578m?\nAnswer: 8287578000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.5 + 2.5. Let r be -3 + 1 - (-64)\/34. Put 1\/11, r, g in descending order.\nAnswer: 1\/11, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001 - -101?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 736, 743, 756, 775, 800, 831?\n\"Answer: 3*y**2 - 2*y + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -76*v - 2895. Let z be x(-39). Calculate the greatest common divisor of 276 and z.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from herehtqrhzhr. What is prob of picking 1 r, 1 t, and 2 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -692020, -691973, -691926?\nAnswer: -691879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 56*x**3\/9 + 86*x**2\/9 - 340*x\/9 + 22 = 0.\nAnswer: -99\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 - -121. Solve -b*o + 5 = 0, o + 15 = -4*z - 0*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42058402609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**42*(c*c**5\/c)\/c**7)\/((c**(-8)*c*c**4)\/(((c*c**(-4\/9)\/c)\/c)\/(c**4\/c))) assuming c is positive.\nAnswer: c**(-220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 26.7, 2, -3, -1.5, -4 in decreasing order.\nAnswer: 26.7, 2, -1.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134 - -115 - (-1 - -2 - 41).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, g: 4}. What is prob of sequence gg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 15*d - 4*d - 4*d + 3*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:01 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + t**3 - 5*t**3 + (3*t**3 - t**3 - t**3)*(1 + 1 - 1) - 2*t**3 + 4*t**2 - 4*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3933 and 2829.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13)*o**0\/o*o*o)\/(o\/((o\/(o\/(o**(-1\/4)\/o)))\/o))**(-1\/3) assuming o is positive.\nAnswer: o**(301\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1986*g - 841*g - 32 - 995*g.\nAnswer: 150*g - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + h**3 + 2)*((0*h + 3*h - 4*h)*(h + 2*h - 5*h) - 19*h**2 + h**2 + h**2) + h**5 - 1 + 1.\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 8*o - 7. Suppose -2 = 2*g - 5*s, 2*s + 15 + 7 = -3*g. Let a(x) = -14*x**2 + 23*x + 20. Determine g*a(d) - 17*r(d).\nAnswer: -d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5390, 5398, 5406?\nAnswer: 5414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + (sqrt(605) - (-1 + sqrt(605))) + sqrt(605) - sqrt(605) - (sqrt(605)*3 + 1)))**2.\nAnswer: -264*sqrt(5) + 5461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215 and 14362.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 431*x**3 + x**2 + 10*x + 8. Determine c(-1).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - -3 - 6) + 36 + (-400 - -393)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3633646 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*m - 25*m**3 - 12*m**4 + 25*m**3 wrt m.\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28208456.\nAnswer: 2, 3526057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*q + 12 = -2, p = q + 7. Let w(v) = p*v**2 + 4*v**2 - v**2. Let l be w(1). Solve l*d = 3*r - 23, 0*r = 2*r + d + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007102272 rounded to 7 decimal places?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c**2 - 24*c + 6. Let i(d) = -8*d**2 + 11*d - 4. Let y(j) = -4*a(j) - 10*i(j). Let t(r) = -3*r**2 - 2. Let l(z) = 5*t(z) + y(z). Determine l(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1266268 + 8864020\/7. Factor 2\/7*b**4 + s - 18\/7*b**3 + 4\/7*b**2 + 24*b.\nAnswer: 2*(b - 6)**2*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 10:34 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27984195 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(-5 + sqrt(320) + 3*sqrt(320) + -2 + -5) + -4)**2 + 2.\nAnswer: -26112*sqrt(5) + 188946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5118315173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -17, -1, 4, -218 in ascending order.\nAnswer: -218, -17, -1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9460 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -274 + 270. Let w(j) = 2*j + 6. Determine w(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -187953174 and 0.07.\nAnswer: -187953173.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6636 by 4.\nAnswer: -1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 3. Let m(a) = 14*a - 8. Let c(w) = 8*l(w) + 3*m(w). Let z be c(2). Suppose -3*o + 15 = 5*f, 2*o - 12 = o - z*f. Solve o = p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16596 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 202567847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030381 rounded to 6 decimal places?\nAnswer: -0.000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = -17*j + 2520. Calculate the smallest common multiple of j and 66.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-9)\/(-27)*3\/(-1). Let y(f) = 28*f + 20. Let z(v) = 4*v + 3. Give h*y(j) + 20*z(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 2. Let j(f) = f - 1. Let p(w) = -j(w) - 5*u(w). Let o(y) = -2*y - 5. Calculate 5*o(h) + 2*p(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, 5, 0.\nAnswer: 0, 5, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 59\/5 of a kilogram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/11)*n*n*n**6\/n*(n**(-1))**(-2\/13) assuming n is positive.\nAnswer: n**(1010\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1 = 4*n - 3*g, n - 8 = -2*g. Suppose 3 + n = 5*a. What is the least common multiple of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003304904 rounded to seven decimal places?\nAnswer: -0.0003305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61217 or -61493?\nAnswer: -61217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 556608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34863*i**3 - 3784*i**2?\nAnswer: 209178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.302 - 2.468. What is g rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990437?\nAnswer: 7, 17, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1049424 by 3.\nAnswer: -349808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151565400 and 1317960.\nAnswer: 151565400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*x**2 - 7155 + 7155 to o*x + l + k*x**2 and give k.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3057*p. Let v(i) = 5*i**2 + 2. Let j(b) = -63*b**2 - 24. Let h(k) = -j(k) - 12*v(k). What is h(f(d))?\nAnswer: 28035747*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 12*v**2 + v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -15323.3146 to 0 decimal places.\nAnswer: -15323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -x - 4*k, -4*x - 1 - 1 = -5*k. Solve x*u + 8 = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 12, -3*j - 5*k - 1 = -88. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -39 (c) -6 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18840536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7600065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -539.1 + 564. Let n = g - 24.854. Round n to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, a: 3, z: 7, r: 3}. Give prob of sequence rrza.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101100110000101000010 (base 2) to base 8.\nAnswer: 15460502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/72 - 254\/(-42) - 5)*-3?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -13*a - 11. Let k be q(-7). Suppose 181 = 3*y - f, 0 = 58*f - 59*f - 1. Calculate the greatest common divisor of k and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 - 3*s**2 + 0*s**2)*(-2*s + 0*s + 4*s)*(-92 + 74 + 52) + 0*s**3 + 27*s**3 + 49*s**3 to z*s**2 + k + j*s + b*s**3 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 30 = 3*f. Let w(p) = 10*p**2 + 33*p. Let c(g) = 39*g**2 + 132*g. Let o(t) = f*c(t) - 21*w(t). Find the second derivative of o(l) wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4704091 is divided by 1483?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*k = -3*s + 83, -s + 5*k + 52 = 0. Suppose -2*i = -5*x + 40, -4*i + s - 7 = x. Calculate the common denominator of 25\/14 and 18\/x*27\/(-12).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251961 or 251951?\nAnswer: 251951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = -f + 17*r + 1678, -3*r + 1670 = f. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83114 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76816499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -451207.75365 take away 14?\nAnswer: -451221.75365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 2*z**2 + 7*z + 1. Let j be c(5). Let l = j - -104. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 7*w - 19 + (w - w + w)*(3 + 2 - 6) + (1 - 6 + 6)*(w - 1 + 1))*(45 + 27 - 15).\nAnswer: 399*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3040315 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666487139.\nAnswer: 2381, 279919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49068839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6981 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35059376.\nAnswer: 2, 11, 29, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12636, -25272, -37908?\nAnswer: -50544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -0.04. Let j = -33355 + 33350. What is the closest to n in j, 0.3, 5, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 2, y: 7, z: 1, m: 1, v: 1}. Give prob of picking 1 m, 1 y, and 1 z.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 6. Let z be m(0). Let j be (-3 + 4)*z\/6. Let i be j - ((-4 - 0) + 3). Solve -1 = i*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91310 divided by -18262?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 4*y - 2*y + 3*y. Let j(q) = 15*q. Give t(j(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269663441.\nAnswer: 397, 691, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/43)\/(i**(-12\/5)*i)*(i**44\/i)\/(i*i\/((i\/(i*i\/i**26*i)*i)\/i)*i) assuming i is positive.\nAnswer: i**(14051\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6528 + 1432. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3\/4 (c) -1\/3 (d) 3 (e) 0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 18*m**2 - 18*m - 4. Let d(i) = 2*i**3 - 19*i**2 - 19*i - 4. Let z(f) = 3*d(f) - 4*h(f). What is the least common multiple of z(-6) and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 + 91. Let h be r\/55 - 4\/22. Suppose -2*b + h*c - 9 = c, -2*c = -2*b - 4. Solve -3 = 2*u + b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 115880\/35 + 17\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 948 + -423. Let n(a) = 130*a**2 - 2*a - 1. Let x be n(-3). Let v = x + y. What is v rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 4 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -76. Suppose -p + 93 = 4*o. Put -0.2, o, -4, -1 in decreasing order.\nAnswer: o, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527569256.\nAnswer: 2, 3, 113, 563263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1955 - -1972. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 5*a - 4. Let l(w) = -2*w**2 + 8*w + 20. Let m be l(-2). Let c(h) = -3 + 12*h + 9 - h + 2*h**2. Let s be c(m). Calculate n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -8. Let i = -0.23 + -0.27. Let y be 0\/(1*(3 - 2)). Put i, y, h in descending order.\nAnswer: y, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -12. Let d be 512\/14 + (-57)\/(-133). Let p = d - m. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + -3 + -3 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 4.39\nAnswer: 4.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31950 divided by 2?\nAnswer: -15975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + z = 2*o - 185, z = 4*o - 245. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 + 193.9. Let d = 9.9 - s. Let m = -4 - -4.4. Which is the closest to 0.1? (a) 4 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*r**4 + 3527*r**3 + 142*r**2 + 27122414*r?\nAnswer: 312*r**2 + 21162*r + 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 8 - x**2 + 12 - 8*x + 10 + 7*x + 6*x**3. Let n = -1 + 0. What is k(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 (base 10) in base 5?\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*a, a + 3*l - 3 = 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 1:40 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -118 and -1926.\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0388316 and -5.\nAnswer: -4.9611684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2811 - 1424?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*s + s**3 + s**3 + 346*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -31. Solve 5*w - 6*d = -d - 5, -2*d = -q*w - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 + 2496*f - 61 + 209 + 2*f**2)*(-4*f + 2*f + 0*f).\nAnswer: -4*f**3 - 4992*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 856*x + 1606. Let b(c) = -431*c - 802. Let w(i) = -7*b(i) - 3*d(i). Differentiate w(r) wrt r.\nAnswer: 449","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 3*u**2 + 7*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.7? (a) 135 (b) -4 (c) -1 (d) 68 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 + -3 + -1 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 19*x - 1. Let a = 5 + -4. Calculate the remainder when 35 is divided by u(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9458061 to the nearest integer?\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 2*z - 3. Let u be s(2). What is the second derivative of 28*w**2 - 2*w + w**u - 28*w**2 wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g. Let a be u(0). Suppose a = 2*s + 5*m - 349, 5*s - m - 176 = 737. Calculate the highest common divisor of s and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 16, 29 in increasing order.\nAnswer: -8, 16, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -30030 and -1111128\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/31)*v**4)**50 assuming v is positive.\nAnswer: v**(6100\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 25 = 3*t. Suppose t*o - 70 = -5*z, -4*o - o + 30 = z. What is the highest common factor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + j**2 + 6*j**2 + (0*j + 4*j - 5*j)*(-3 - 2*j + 3) to the form g*j + c*j**2 + z and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 34 - 26. Let y be (3 - (-3)\/(-3))\/((-4)\/w). What is the common denominator of (-1170)\/(-18)*(-1)\/y and -31\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*x = 6, 3*x + 1 = 5*w - 12. Let s be (w - -5)*(6 + -8). Put -2, s, -1, 3 in decreasing order.\nAnswer: 3, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 67, 97, 127, 157, 187?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {b: 1, o: 1, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.39 - 201.61. Let z = d - -210. What is the closest to 0 in 1, -6, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/1195, 1 in descending order.\nAnswer: 1, -2\/1195, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 9. Let h be z(5). Let v be 24\/14 - (-2)\/7. Is 460\/h*(-1 + v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.836895 take away 0.0076?\nAnswer: -135.844495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/11 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 12. Let r be ((-56)\/(-7))\/(h + 2). Solve 5*w = -15, -r*q + 2*w = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 1, j: 3, a: 3, i: 1, e: 6}. What is prob of sequence za?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*m**5 - 28*m + 6*m - 4*m - 13*m**5 wrt m.\nAnswer: -500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 15*t**2 - 2*t - 16. What is u(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 89*a + 39. List the prime factors of j(46).\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 - 7.17. Let l = 8 + y. Let h = l + 8.2. Round h to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 13*d**6\/120 + d**5\/60 - d**4\/24 - d**3\/3 + d**2. Let o be s(2). What is the highest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from {p: 7, f: 12}?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q. Let a(p) = -3*p**2 + 0*p - 6*p + 6*p. Calculate f(a(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35811\/1730)\/((-13)\/(1040\/(-96))).\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 726704316?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*s + 71, 4*v - s + 83 + 32 = 0. Let w = -10 - v. Suppose 4 + 16*l - 5*l**2 + 2*l**2 + l**2 - w*l = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3938 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10209 and 8024274.\nAnswer: 8024274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 815.02278 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-10) + 1 - (-52)\/8. Let i be -1*j - ((4 - 10) + -350999). Round i to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 319? (a) -4\/5 (b) -1\/8 (c) -3 (d) -1 (e) -0.019\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = -28*v - 240. Sort -0.2, 68, v, 1.\nAnswer: v, -0.2, 1, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42285)\/(-35) + (-3)\/21. Suppose -2*g - 4*u + 590 = -h, 2*g = 3*u + 1784. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60737297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from kgkkkgkiikikkkki?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*m**2 - 2445357*m + 2445357*m.\nAnswer: 619*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 382128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/785 and -71\/1570.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7952, 15939, 23932, 31931, 39936, 47947, 55964?\n\"Answer: 3*h**2 + 7978*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 312 - 115. Let a = w + -193. Let u(x) = x**2 - 2*x + 1. Let p be u(1). Solve -a = 4*f - p*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*w + 2*w + 18*w)*(-12 - 11*w - 5 + 2) as b + f*w**2 + j*w and give j.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5806a (base 11) to base 6.\nAnswer: 1444321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a097 - 1153?\nAnswer: 38b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 350, 826, 1502, 2378, 3454, 4730?\nAnswer: 6206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:38 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/12240 and 61\/41616.\nAnswer: 208080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 25*d - 1. Let h be s(6). Calculate the remainder when h\/28 + (-81)\/(-4) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -655415 rounded to the nearest one thousand?\nAnswer: -655000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34018 or 2\/3?\nAnswer: -34018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48a8 - -1?\nAnswer: 48a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2. Let g = -2 - -4. Let f(s) = s**2 + s**2 + s**g. Determine f(d(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050787471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 7*t**3\/6 + 3*t**2 - t - 28. Calculate f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3370 * -12629\nAnswer: 42559730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n + 2*q + 8, -3*n = 2*q + 7. Calculate the lowest common multiple of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c*c**7*c)\/(c**(-2)*c*c**(-1\/2)) assuming c is positive.\nAnswer: c**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 4:33 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.8 - -10.8. What is the closest to -2 in 0, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 16. Let s be m(-5). Let t be s\/14 - (-27)\/2. Calculate the highest common factor of t and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -970004, -970012, -970020, -970028, -970036?\nAnswer: -970044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1655 + -5?\nAnswer: -1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 1.94. Let z = -1285\/6 - -1001\/6. Let w = z + 1852\/39. Which is the nearest to -2? (a) 5 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 1099790*d**2 - 7585*d - 325 = 0.\nAnswer: -1\/71, 65\/3098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -63, -2, 1\/52?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135400842221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51, -129, -237, -375, -543, -741, -969?\n\"Answer: -15*q**2 - 33*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 1:54 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 471001171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356245\/28 or 12722?\nAnswer: 12722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/16 and 91\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1524 and -143\/111252.\nAnswer: 111252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:44 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -40794.\nAnswer: 11\/40794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 10*f - 7. Let d be g(-9). Let s be -1 + (10\/d - (1 - -2)). Solve 0 = j - 2*j - s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161905379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10720*v**4 - 43004.\nAnswer: 42880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 146000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -987.9 + -2.1. Is i >= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.6 - 1.6. What is the closest to -2\/9 in 4\/9, 61, k?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g. Let n(v) = 268*v. Give j(n(f)).\nAnswer: -1608*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23851 and -0.185?\nAnswer: 0.04412435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 - w**4 - 5*w**2 + 19 - 21 + 7*w**2 to p*w + m*w**3 + z*w**2 + r*w**4 + i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -887 - -957. What is the greatest common divisor of 126 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, m: 5, h: 2}. What is prob of picking 3 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 68 = -n - n, 2*s - 68 = 2*n. Let z = -16 - n. Is (z\/1)\/2 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -34a5?\nAnswer: 34a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -61. Suppose -4*z - z - 4*n - 559 = 0, -5*n = q*z + 210. What is the remainder when -2 + (z + -2)\/(-3) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -553.3 + -154.9. Let h = j - -708. Let x = -2 - -1. Which is the nearest to 3\/7? (a) x (b) h (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 205026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.04 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 + 5)*(-4738 - 28*c + 4738)*(-2 + 1 - 1)*(4 - 7 + 4) to the form l*c + j and give l.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(0*x + 3*x - 4*x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354\/17 + -1821\/85. Let j be 5 + 0 + 2\/(-2). What is the nearest to 3 in -1, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5 - 5173*o**4 + 524262*o**3 - 15994778*o**2 + 129722443*o + 146246655 = 0. Calculate o.\nAnswer: -5273, -1, 15, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6*3)\/(27\/(-18))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15698 = -5*k - 543. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 3*z - 9, -25702*z - 3321 = -369*x - 25705*z for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 9. Suppose 18 = -d + m. Solve -8*t + d*t + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555511 is divided by 1340?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -88*d - 3\/35*d**7 - 71\/10*d**5 - 144\/5*d**3 + 108\/5*d**2 + 0 + 31\/25*d**6 + 201\/10*d**4. What is y in p(y) = 0?\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 - 6*t + 1. Let n be b(6). Let c be (n + -10)*-1*1. Find the common denominator of 5\/7 and (-158)\/48 - (-6)\/c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -51. Suppose -3*r - 5*p + 0*p + 7 = 0, -a = -3*r + p. Let f(g) be the second derivative of -g**4\/12 + g**3\/3 - 2*g**2 - 3*g. Calculate f(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 9*h**2 + 8*h + 3. Let q be a(-8). Suppose 5*c - 2 = q. Solve 0 = -3*f - 4 + c, 0 = w + 5*f + 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372493.\nAnswer: 11, 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40186 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: What is -1025 divided by -12?\nAnswer: 1025\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -56304 (base 9) in base 5?\nAnswer: -2144201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + 0 + -482 + 487 + (2 - 16).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7620 + -1880. Does 70 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*u - 4*u. Solve 70*y**3 + 600*y**3 - 150*y**2 + 7*y - 288*y**u + 8 - 39*y - 208*y**4 = 0.\nAnswer: -2, -2\/9, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 4*o - 4*q, -o + 18 = -5*q - 97. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 5*q + 5. Let l be k(-7). Let z be 2\/l - (-228)\/54. Solve 8*g - z*g = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872776.1 centuries in years?\nAnswer: 87277610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 5647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - 19. Suppose 37 = 3*i - v. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(32)*3) + -4.\nAnswer: -4 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -27*-1*(-16)\/(-3). Suppose w = 7*g - g. What is the third derivative of -18*v**3 + 3*v**3 + g*v**2 - 7*v**2 - 5*v**3 wrt v?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1))**(-21))**7 assuming j is positive.\nAnswer: j**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/(392\/(-2454900)*-167)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 b when four letters picked without replacement from bbbbbbbbsbbbbbbbbbbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2254328 rounded to the nearest 10000?\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*s - 10 = 0, -s = 4*y + s + 40. List the prime factors of 7\/(-2 + y\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -3 (c) -64 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(891) + sqrt(891) + 1 + -1)**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115 + 28 + 152*a - 160*a to the form t*a + y and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/5046620 and 26\/255?\nAnswer: 15139860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 13 - 0) + 76 + -7 + -65?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -32*r + 3737. Determine t(117).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 + 165. Suppose -a*k + 3240 = -38*k. 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: Let l(j) = j**2 - 116*j - 10990. Determine l(164).\nAnswer: -3118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5*g + 221270, -3*g - 46291 + 223272 = 4*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 m when three letters picked without replacement from pmwpvmj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1286, -1288, -1310, -1364, -1462, -1616?\n\"Answer: -2*b**3 + 2*b**2 + 6*b - 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75863.06 micrograms in nanograms?\nAnswer: 75863060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 29. Let 0 + 2\/5*l**2 - 1\/5*l - 1\/5*l**c = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162.3 + 151. Let x = 11 + d. Which is the closest to -1? (a) 1\/3 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (5\/(90\/(-207)) - -7). Let c(o) be the first derivative of 0*o + p*o**2 + 5 - 8\/3*o**3. Find the second derivative of c(i) wrt i.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -423, 1\/26 in descending order.\nAnswer: 1\/26, -4, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*k**2 - 6 + 2*k**3 + 1 in the form i*k**3 + u + w*k**2 + d*k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62308 is divided by 2947.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h + 22*h + 7*h to r*h + n and give r.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 3*f - 18. Calculate the remainder when 46 is divided by k(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 21. Calculate the lowest common multiple of p and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -255\/4. Which is the closest to 2? (a) 5 (b) 1\/8 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 2*w - 11. Let y be (-240)\/100 + (-186)\/(-15). Let m(i) = i**2 - i - 6. Determine y*m(d) - 6*f(d).\nAnswer: -2*d**2 + 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30732595 or -30732593?\nAnswer: -30732593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/243 and -22\/9?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128\/5 or 1?\nAnswer: 128\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 119147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 3. Let f(p) = 2*p + 5. Let a(k) = 5*d(k) + 3*f(k). Let x(t) = -t. What is -a(m) - 5*x(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6537\/2 - -2988. Let q = 326 + d. What is the common denominator of -51\/20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6116 and 652.\nAnswer: 996908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 368 + 29384?\nAnswer: 29741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*q**2 - 5*q**2 - q**2 - 2*q to the form b*q + m + d*q**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 5*t - 198235 + 198218, 6*c + 4*t = 62 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l. Let g(s) = 3*s + 4713 - 4713 + s. What is t(g(h))?\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f73 + -5?\nAnswer: 3f6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 4 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-1\/11)\/((w\/w**(-2)*w*w*w)\/w**5) assuming w is positive.\nAnswer: w**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230616?\nAnswer: 2, 3, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -111367, -111371, -111377, -111385, -111395, -111407, -111421?\n\"Answer: -q**2 - q - 111365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 + i - 1. Let f be c(-2). Suppose -f*r = 5*b - 45, 2*r + 2 = 6*b - 3*b. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/65075 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103235 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 233\/3402282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*u + 5*t = -339, -4*u + 320*t = 316*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*z = -260*z + 58*z - 52520 for z.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -96*t + 101. Let x = 29 + -8. Let k(u) = -10 + 5 + 19*u - x + 6. Let h(v) = 11*k(v) + 2*s(v). What is the derivative of h(a) wrt a?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.88 + -10.26. Let v = z - -15. Let a = -0.14068 - v. What is a rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 403288904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3 - 6. Let d = v + -4. Solve 10*p + d = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, 19\/31, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94365658652.99999871 - -94365659268. Let c = u + -615. Round c to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63651 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5895405, -5895403, -5895401, -5895399?\nAnswer: -5895397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 169 - -5?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -531.4 times -0.5?\nAnswer: 265.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3 = -3*k - 3*f, 3*f + 9 = k. Solve k = o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6125512159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 5. Let p be q(7). Suppose 2*o + 6*i = 2*i - p, 2*o + 3*i = 0. Solve -3*n + 0 = o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -12. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*g = n - 26, 2*n = 53*g - 51*g + 26 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -0.479.\nAnswer: 4.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p + 63*p = 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.95 + 2.26. Let r = 160.79 + u. Let o = 163.99999879 - r. Round o to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 2*l**2 + 2. Let h(k) = -15*k**3 + 33*k**2 - 33. Let v be -4 - -10 - (5 - 1). Determine v*h(m) + 33*b(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0*b**3 + 9 + 0*b**3 - 2*b**3 - 4*b as t*b**3 + l + d*b**2 + q*b and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 1 + sqrt(1008))**2*6.\nAnswer: 288*sqrt(7) + 24198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1747\/10 + -868\/5. Let p = 3\/5 - h. Which is the second smallest value? (a) 4\/7 (b) 0.25 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -0.13. Let x = u - -4.1. Put x, 0, 5 in increasing order.\nAnswer: 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -332*w + 3313. Calculate t(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-1968)\/(-200) - -1)\/((-6)\/(-5)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8031671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -576.0611865 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlj when three letters picked without replacement from lllllllllljlllllllj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 544553336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (39 + -15 - 46).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -40. Let s(z) = 12*z - 5. Let i(g) = 3*g - 1. Determine v*i(l) - 2*s(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -114. Let v = -830.8 - -831. Which is the nearest to 4? (a) n (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -14 - (-42 + 62)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(0*z - 6*z + 4*z)*(-4591 + 175 - 548)*(-5 + 3 + 0) in the form u*z + l and give u.\nAnswer: 39712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + 12*b - 10. Let j(v) = -v + 3 - 4 + 2*v. What is 12*j(m) - o(m)?\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 4*q**5 - 6*q**5 + 1034 - 1088 + (-4 + 22*q**2 + 4)*((-1 + 4 - 5)*(2*q**2 - 3*q**3 - 2*q**2) - 1 + 1 + q**3).\nAnswer: 152*q**5 - q**3 - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012658.\nAnswer: 2, 506329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2420\/(26400\/(-120)))\/(1 + (0\/2 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403 - -13?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3 + 29072*f**2 - 58150*f + 29076 = 0.\nAnswer: -14538, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s. Let x(u) = -60*u**2 - 75*u. Calculate 75*b(k) + x(k).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 4*q**2 - 3*q**2 - 5*q**2 - 2*q**3 - 10 to o*q**3 + m + b*q**2 + w*q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758608867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.629? (a) 17 (b) 0.496 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1018863 and -0.1.\nAnswer: 0.0018863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10*(5 + 0). Suppose -4*l + 9*l + 4*r - 47 = 0, 5*l - 41 = -2*r. Suppose 5*i - 160 = -l*k + m*k, -4*i + 131 = k. 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 -0.29731 rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -2*d**6\/15 - d**5 - 4*d**4\/3 + 119*d - 1. Factor q(t).\nAnswer: -4*t**2*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*o**2 - 2*o - 28*o**2 - 3*o + 3*o**4 wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -2, -466\/3 in decreasing order.\nAnswer: 0.12, -2, -466\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29541, 29505, 29469, 29433?\nAnswer: 29397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -161*u + 166*u + 6, -5*u - 3 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2170218, 4340432, 6510646?\n\"Answer: 2170214*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 2*p + 3*p)*(-p**3 - p**3 + 0*p**3) + 203*p**3 - 2 - 203*p**3 - 68*p**4 as i + x*p**2 + n*p + v*p**4 + c*p**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000058174982 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (4 + 1)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -p + 12, 2*k - k + 3 = -4*p. Suppose 0 = 4*s - p*s - 876. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95311404 is divided by 3583?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ops when three letters picked without replacement from {p: 2, s: 5, o: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - w - 15, -3*w = 3*r - 15196 + 15181 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 9) to base 13\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 40788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -4 (c) -138 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3610 or 0?\nAnswer: -3\/3610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365, -1060, -2077, -3410, -5053, -7000?\nAnswer: -9245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-1))\/(-2) - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 8.7.\nAnswer: 4.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**27)**7\/(z**(2\/7)\/(z**(-2\/11)*z))**(-47) assuming z is positive.\nAnswer: z**(12626\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 8. Let z(k) = 2*k**2 + k - 8. Let d(u) = -4*s(u) - 3*z(u). What is the smallest common multiple of 22 and d(4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 295 and 0.03.\nAnswer: 8.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*b + 2 = 0, -28 = 5*u + 719*b - 720*b for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072502537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eexxyeeaagxfgxxggxxx. Give prob of sequence yfyf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u = -32*u - 960. Which is the closest to 2\/5? (a) u (b) -0.4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -398, -1097, -2144, -3551, -5330, -7493?\nAnswer: -10052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(32) + sqrt(512))*-1)**2.\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/65? (a) -7 (b) -5 (c) 2\/7 (d) 3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0.6. Let w be 2\/2 - (-271)\/15. Let m = 56\/3 - w. What is the nearest to m in 1, -1\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-7)*g**3*g**12 assuming g is positive.\nAnswer: g**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 14*d + 26 = -15*d, 0 = -5*m + d + 62. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5192 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -453, -684, -919, -1158, -1401?\nAnswer: -1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 1:31 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2 + sqrt(162) + -1)*2)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 56*i - 248. Suppose c - 3*k = 20, 3*c - k - 66 = 2*k. Calculate the remainder when u(-62) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 253133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6*6\/(-8). Let p be ((-21)\/(-42))\/(15\/(-18) + (-2)\/(-4)). Put -2\/7, 4, b, p in ascending order.\nAnswer: p, -2\/7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8208 and 2522934.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:05 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -740, 4, -5, 2, 3, 36, 38 in descending order.\nAnswer: 38, 36, 4, 3, 2, -5, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187994.9395782946 + -0.9340117054. Let h = -188085.87359173 - y. Let q = h - -90. What is q rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:47 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x**4 + 0 + 0*x - 47*x**2 + 1\/60*x**5 - 11\/6*x**3. Let u(c) = -5. Calculate -3*l(a) + 7*u(a).\nAnswer: -3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3102552 + 4?\nAnswer: -3102544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 2340, 7959, 18904, 36951, 63876?\nAnswer: 101455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*44*27\/154440.\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*x - 253 - 214 = 0, -200 = 2*h - 5*x. Let y be 2\/7 - h\/35. What is the second derivative of b**2 + 3*b + 0*b**5 - y*b**5 - b**2 wrt b?\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*h. What is the second smallest value in -2\/9, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54948901 - 0.01?\nAnswer: -54948901.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3712\/(-145))\/(1\/(-5)). What is the greatest common divisor of 176 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 17*s + 124. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4) - 8\/16) + -1. Let w(p) = p - 1. Let m(v) = v**2 + 6*v - 4. Determine g*m(c) + 4*w(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39315*s + 40763*s - 80081*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5192 divide 2445467693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*m + 6*m. Let x(z) = -7*z**3 - 4*z - 10*z**3 + 18*z**3 + m. Give x(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/7720 and 1\/9760.\nAnswer: 1883680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnunnu. Give prob of picking 1 u and 1 n.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2251 (base 6) to base 13.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 292679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 780, 1723, 3032, 4701, 6724, 9095?\nAnswer: 11808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 34. Suppose 4*b - 107 = -k - 11, 0 = -3*b - t*k + 72. Suppose 18 - 2 = j + 3*h, 0 = 3*j + h - b. Which is bigger: j or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7*v - 66 = -2*v, -3*o - 34 = -4*v. Let a = o - -31. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-3) - -3 - -3. Let l(h) = 4*h - 1. Give l(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 7. Let g(t) = -5*t + 13. Let y(w) = 4*g(w) - 7*l(w). Suppose 111 = 6*c - 7*c. Let o = -117 - c. Give y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -60 - -39) + (-11 - -20 - 3).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3666 = -168. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1539) + sqrt(228)\/(sqrt(96)\/sqrt(8)))**2.\nAnswer: -60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0.3, -2\/15, -0.17, 5, 0, 72?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2453329, 4906617, 7359907, 9813199?\nAnswer: 12266493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*a + 115*a - 114 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 3*r + 4. Let y = -52 + 54. Suppose -y = -2*c + 4. Give j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -337\/4 + 3715\/44. Let b = 476 - 480. What is the second biggest value in v, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5676 - -3090. Let v = -1003 - c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - (-6)\/(-15). Let i(b) = 2*b - 3*b + f*b. Let c(j) = j**2. Calculate c(i(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**3\/3 - 19*r**2\/2 - r - 857. Let k(d) = -2*d + 1. Give h(k(i)).\nAnswer: 4*i - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2982962371?\nAnswer: 107, 27878153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 7*i**2\/2 + 198. Let z(s) = -4*s. Suppose 2*r - 4*r = -10. What is r*z(x) + 3*u(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Let t(g) = 4. Let w(f) = 2 - 2 + 5. Let y(v) = 6*t(v) - 5*w(v). Let c(x) = 12*x - 33. Let m(r) = -2*c(r) + 66*y(r). Give m(s(o)).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:41 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in -11\/5, 1, 0.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/9 and 13\/17?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 217*i**2 - 1752*i + 10544\/3.\nAnswer: (i - 4)**2*(i + 659)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98 - 3149?\nAnswer: -3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 564 + -6677\/12. Calculate the common denominator of 213\/22 + -2 - 6 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/((-2)\/(-30)). Let w = -6 - -12. Let -3*v**g - 2*v**5 + w*v**5 = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*566352\/(-18468)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 177 = 3*w, 36*w - 41*w = 5*a - 435. What is the highest common divisor of a and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697256291 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 467683281*f*z**2 - 122*z**2 - 432261 wrt f?\nAnswer: 467683281*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1116*g**6 + 4*g**5 + 21*g**2 + 95 wrt g.\nAnswer: -133920*g**3 + 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 649, 1421, 2501, 3889?\nAnswer: 5585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/5 (b) 3648 (c) -0.1 (d) 2\/3 (e) -1\/31 (f) 4 (g) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25237\/3 or -8413?\nAnswer: -8413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*m + 14*m = 19*m - 773536. List the prime factors of m.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12\/13, 5, -1, -1\/4, 4\/3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:11 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c - 69. What is m(-3)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6 + 2. Suppose -u*n + 8*n = 432. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 178683904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t - 4 = 0. Suppose 2*p - 7 = p - a, 17 = p + 3*a. Let y be (-1 - (-2)\/8*p)*8. Sort y, 14, t in descending order.\nAnswer: 14, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180575898.9 - -1?\nAnswer: 3180575899.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1684*f = -1474*f + 4410 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 466, 3, 1\/3, -12, 0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 17. Let z(b) = 5*b - 2. Does 16 divide z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -151. Let n = 64 + -60. Let z be u\/(-9)*n\/2. Solve 4*r = -2*b - 12, 3*r + r + z = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -90\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2 - 2*j + 3. Let p be r(4). Suppose -p = -2*a - 3*a. Let h(m) = -5*m - 6. What is the remainder when h(-7) is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 11 (c) 1\/3 (d) -0.1 (e) -9 (f) -121\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 545b - 6?\nAnswer: 5455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.205 + 0.795. What is the second smallest value in -4, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*h + 40 = 0, 0 = -3*h + 11 - 2. Let g be (-3 + 7 - v) + 1*2. Let l be 2*g + -12 + 8. What is the greatest common divisor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412.3034 centuries to millennia.\nAnswer: 41.23034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104\/21 + 14\/3. Sort r, 4, 1, -3 in descending order.\nAnswer: 4, 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1713520*c**4 + 16088*c**2 + 59*c?\nAnswer: -41124480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306393 divided by 47.\nAnswer: -6519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -84977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + j - 140 = 0, h - 11*j + 8*j = -42. Let r be 3*6\/h*(-3)\/1. Solve -g - 15 = 4*n - r*g, 40 = -4*n - 4*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6712854, -6713185, -6713518, -6713853, -6714190, -6714529, -6714870?\nAnswer: -6715213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*f = 707*f - 1402*f + 217 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -191*f**2 + 9930*f + 54. Give s(52).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53405 (base 6) to base 4.\nAnswer: 1301231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184934.\nAnswer: 2, 92467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -256133, -255982, -255831, -255680?\n\"Answer: 151*v - 256284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (762\/(-4))\/(17\/(-34)). Let i = -199 + p. List the prime factors of i.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*x + 500*x + 39200 = -108*x for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*m + 3240 + 2\/5*m**2 = 0 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from {b: 1, y: 3, u: 3, g: 1, a: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/46211 + -3650409\/6007430. Find the common denominator of 103\/40 and b.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**4 - 1830*b**3 - 171065*b**2 - 662460*b - 655220 = 0.\nAnswer: -181, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588 a factor of 2508227684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/4)\/((-2)\/(-8)). Let r = 10 - s. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(-6 - 8 + 1) + (-3*u - 2*u + 3*u)*(0 + 3 - 4).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15\/44 (b) -4\/5 (c) 9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Suppose -6*n + 16 = c*f - 2*n, n + 16 = 3*f. Suppose 0 = f*y - 65 + 20. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515749 is divided by 7317.\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 42. Calculate the remainder when 63\/h*2\/(-3) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4668 or -4669?\nAnswer: -4668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-14\/3))**(-4\/7)*u**(-2\/25)\/(u**(9\/7)\/u) assuming u is positive.\nAnswer: u**(1208\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.247 and -27.\nAnswer: -26.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 6:58 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05842, 0, -89.8.\nAnswer: -89.8, 0, 0.05842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -995 - -995. Suppose -4*q = -b - 6821, 3*q + 2*b - 4*b - 5112 = o. List the prime factors of q.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 17, s: 3}. Give prob of sequence iiis.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + 1 + sqrt(72) + (sqrt(72) - (sqrt(72) + sqrt(72)*-1)*5 - sqrt(72)) + sqrt(72) + 1*(-1 + 1*sqrt(72))*-1)**2.\nAnswer: 24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) 13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85212 and 720?\nAnswer: 1704240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12120 divided by -2.\nAnswer: 6060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1471505845 to three decimal places.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283832 is divided by 306.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -555.412756 rounded to two dps?\nAnswer: -555.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2693269 and 35037?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1568*o + 1568*o - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47172, 47335, 47578, 47895, 48280, 48727, 49230?\n\"Answer: -t**3 + 46*t**2 + 32*t + 47095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2 - 0. What is the units digit of (-5)\/(-2)*4\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o. Let f(s) = s + 2. Let a be f(o). Suppose a*x + x = 48. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = -13*q - 64 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93603?\nAnswer: 3, 41, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 265 - 501 - 544 + 301.\nAnswer: 2*d**3 - 1009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 145081*h - 145081*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 13, 12*v = 13*v - 3*m - 39 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 18*k + 38*k**3 - 54*k**2 + 4*k**4 + 105*k**2 - k**4 - 51*k**2 wrt k?\nAnswer: 36*k**2 + 228*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13575 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7544130*c**2. Let u(r) = r. Determine u(h(k)).\nAnswer: 7544130*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960939 is divided by 480406?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*i**3\/5 - 28401*i**2 - 166452*i\/5 + 46644 = 0.\nAnswer: -598, -2, 65\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 1 = n, 124*b - 120*b - 22 = 3*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 617918, 617974, 618030, 618086, 618142, 618198?\n\"Answer: 56*j + 617862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 11866*r**3 - 80.\nAnswer: 11866*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011 - 11?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-81) - (2 - 3\/((-108)\/512))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92, -185, -278, -371?\n\"Answer: -93*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -337*f**2. Let w(k) = 14*k + 3. What is d(w(u))?\nAnswer: -66052*u**2 - 28308*u - 3033","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4695 and 657630.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vve. What is prob of sequence vev?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7288 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 + (-40)\/(-12). Let w(c) = 76*c + 38. Let t be w(z). Suppose 5*o = t + 13. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122110201010 - -1?\nAnswer: -10122110201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + c - 90 + 79)*(-5*c**2 + c**2 + c**2) to the form d + p*c**2 + a*c**3 + t*c and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-75)\/(-5)*(-1 - -2). Let f(k) = -k**3 + 14*k**2 + 20*k - 15. Does 5 divide f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0 + (1 + 0 - 2)*(5 - 2 - 4) + 0 + 3 - 6 + 5 - 4 - 2)*(1 - 2 + 3)*(9 + 5 - 2)*(-2 - 4*z + 2) in the form j + k*z and give k.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(4\/((-76)\/(-19)))*-1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 149504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8847029 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(117) - (sqrt(117) + (sqrt(117) - (sqrt(117) - (sqrt(117) - (sqrt(117) - sqrt(117)*5))*-5))))*-2)\/(5*sqrt(27)\/(sqrt(33)\/sqrt(11))) + 5).\nAnswer: -10*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 5*g - 2. Let k be ((-6 - 3) + 3)*1. What is o(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 7 + 5 - 6. Let f be k(-3). Suppose f = -4*s - 0 + 8. Solve s*g = -3*o + 2, 4*o = -5*g + 2 + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 11*g + 20. Does 4 divide s(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 5*m + 3*m. Let o(c) be the second derivative of -c**3\/6 - c. Determine o(h(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaxxxl. What is prob of sequence xl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*c**2 + 163*c - 335*c + 158*c)*(0*c - 4*c - 4*c).\nAnswer: 160*c**3 + 112*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 957, -9 in descending order.\nAnswer: 957, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -17 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102544414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s - 10 + 4 + 7*s + 3*s**2 + s. What are the prime factors of f(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**3*w**3 - 339*c**3*y - c**2*w**3*y + 2*c**2*w**3 - 3*c**2*y - 3*c**2 + 2*w**2 wrt c?\nAnswer: 36*w**3 - 2034*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18837 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 442?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 28*n + 32. Let q be s(0). Solve 5*u = o + 19, 2*u + q*o - 33*o - 7 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -3\/5, -4, -2\/5, 0.0073, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-32)\/s)\/s**(-48) assuming s is positive.\nAnswer: s**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -561203*t. Let i(h) = h**2. Determine i(r(s)).\nAnswer: 314948807209*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-42)*s**(-2\/9)*s**1*(s**1)**(-4)\/((s*s**8)\/((s*s**(-7))\/s)) assuming s is positive.\nAnswer: s**(583\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.687 + -0.313. Let i = g - -33. Put -1\/5, i, -0.4 in descending order.\nAnswer: i, -1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104585832 divided by -400712\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 t when three letters picked without replacement from {j: 2, k: 4, t: 8}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 0.6949, -6\/31 in increasing order.\nAnswer: -6\/31, 0.6949, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 0.12, 15, 8, 4, 36, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 440*q + 2062. What is the tens digit of d(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3632*k = -3624*k - 192. What is the greatest common divisor of 1416 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 = 15. Let v(k) = k + 22. Let l be v(0). Let g = n + l. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25946980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1541 divided by -66884\nAnswer: -67\/2908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21333 + 14585. What is the units digit of ((u\/8)\/7*-2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-336157*i**2 - 3674*i**3 + 336157*i**2)*(-3*i + i + 0*i) to w + h*i + a*i**2 + n*i**3 + d*i**4 and give d.\nAnswer: 7348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4274 = 4*v + 5*m - 12863, 0 = -5*v + 4*m + 21452. What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:14 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 5, k: 3}. What is prob of sequence rky?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**7\/84 - l**6\/20 + 2*l**5\/15 + l**4 + 4*l**3\/3 - 4*l**2 + l. Determine z, given that x(z) = 0.\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010010000011 (base 2) to base 11\nAnswer: 3a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:54 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2224055*n + 11120292. Calculate a(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.3 (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 7*s**2 - 8*s + 2. Let i be (8\/5)\/(2\/(-10)). Let p be c(i). Suppose -p*r - r + 93 = 0. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.2. Let v = 585 - 1226. Let d = -674 - v. What is the third biggest value in d, f, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54755633 is divided by 360?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1081336 and -101\/4.\nAnswer: 1081336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, 4, 1\/2, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59552759663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 5857956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(52)*-3 + (5 + -1 + sqrt(13) - ((sqrt(52)\/sqrt(2))\/sqrt(2) - sqrt(13))) + 3*(0 + sqrt(13) + 3 + -2)*-5)**2.\nAnswer: 440*sqrt(13) + 5321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:47 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/5 + 30778*i**3 + 923286*i**2\/5 + 1384902*i\/5.\nAnswer: 2*i*(i + 3)**2*(i + 76939)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 88\/(-11) - 11. Let t be (-32)\/(-40)*w\/(-14). What is a in 676\/7 + 104\/7*a + t*a**2 = 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -80 + -3440?\nAnswer: -3510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019336041 to 5 dps.\nAnswer: -0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*m**3 - 9\/5*m - 1\/5*m**2 + 9\/5.\nAnswer: (m - 3)*(m - 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p. Let k(i) = i**2 - 2*i**2 + 2*i**2 + 0*i**2. What is k(g(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/5 and -137\/9798.\nAnswer: 48990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -471874 or -471877?\nAnswer: -471874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191 - 191 - 3*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*y + 28, -300*q - y - 35 = -305*q. Calculate the remainder when (5\/2 + 2)*2 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 330011?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0 + 0)*(-2*x**3 + 6*x**3 - 3*x**3) - 367*x**4 + 9143*x**3 - 9143*x**3.\nAnswer: -366*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*w - 4 - 176*w + 5)*(1474*w + 14*w**3 - 1474*w).\nAnswer: 28*w**4 + 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4970252l in millilitres?\nAnswer: 497.0252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-79 - -68) + 10 - (-1 + -2 + -25)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 266 = 66. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -f. Suppose 2*v - x = 40, -v + 4*x = f*v - 88. Let z = -6 + 8. Solve -s - g = -6*g + v, 0 = -z*g + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657631937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14293754 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70223 is divided by 709?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(300)*-2*-5)**2 - (sqrt(300) + 1 + -4 + sqrt(300) + -2 + 1 + sqrt(300))**2) + 5 + 4.\nAnswer: 240*sqrt(3) + 27289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48554290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*sqrt(176) + -1) + 3*3*sqrt(176) + 1*(sqrt(176) - (sqrt(176) + 1))**2.\nAnswer: -2 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.45036 rounded to 2 decimal places?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406130445?\nAnswer: 3, 5, 7, 1289303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*c**3 + 22*c - 22*c + (-2*c - 2 + 2)*(3*c**2 - 4*c**2 + 2*c**2) + 4*c**3 + 0*c + c - 5*c**3.\nAnswer: 91*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 29999*q + 14998*q + q**2 + 15001*q.\nAnswer: q**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 4. Suppose 3*o + 2*m = o + 4, -2*o + u*m = 14. Is o greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -54*q + 71*q - 238 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 13*t**2 + 11*t + 11. Let w be b(12). What is the biggest value in w, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1615370 and 496470?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d + 36. Give g(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.3 + 6. Let o = -2.5 + 3.2. Let a = b - o. Which is smaller: 2\/7 or a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f\/(f*f**7)))\/f*f)\/(f*f**1)*f**(1\/2)\/f**2)\/((f**(2\/5)\/(f\/(f\/f**(5\/4))*f))\/(((f\/(f*f**(1\/2)*f*f*f))\/f)\/f*f**(5\/2))) assuming f is positive.\nAnswer: f**(87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -4*k + 1409. What are the prime factors of k?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(26 - (-31794)\/(-1239)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12854005, 25708013, 38562021, 51416029, 64270037, 77124045?\n\"Answer: 12854008*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.9 + -24. Which is the closest to o? (a) 0.5 (b) -0.3 (c) 4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255 + 322. What is the remainder when 466 is divided by t?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3889170?\nAnswer: 2, 3, 5, 79, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -366, -864, -1562, -2460, -3558, -4856?\nAnswer: -6354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238733 is divided by 7460.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r + 6. Let v(z) = z**3 + 4*z**2 + 3*z. Let i be v(r). Suppose i*f = f - 6. Let b(y) = -y**3 - 5*y**2 + 6*y + 5. Calculate b(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1800.852 and 43.\nAnswer: 1843.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/74 - -319\/1406. What is the nearest to 2\/7 in a, 0.4, -0.15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 71. Let j be ((-2)\/(-4))\/(5\/w). Is j\/7 - (-5814)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396384215 to the power of 1\/3, to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*c = 250226 - 91341, -2*g + c = -63567. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/22 (b) 0.189 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.9. Let x = -0.13916 + 0.13916. What is the nearest to 1 in -8, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -439 - 117. Let c = -10567\/19 - g. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3921\/7? (a) -3\/2 (b) -4 (c) 7 (d) 1 (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hebnhbhhbhheenb. Give prob of sequence bnb.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -188478477, -188478470, -188478463, -188478456?\n\"Answer: 7*j - 188478484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 + 12490*g**4 - 12469*g**4 - g**5 + 31*g**2 wrt g.\nAnswer: 60*g**2 + 504*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 - 300. Let v be (4\/y)\/((-16)\/264). Solve v = -2*i + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 32 = -k + 13, 3*k + z = -1. Which is the smallest value? (a) -4 (b) k (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-637)\/52 - -17).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(78)\/sqrt(486) + 2 + -3)**2.\nAnswer: -311\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303, -323, -377, -483, -659, -923, -1293?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0194, 10178, -7\/3, -0.2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8ec4d (base 16) in base 11?\nAnswer: -36a39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1296)\/567 + (-1 - -3))\/(1960\/49735)\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 6, c: 3, v: 7}. What is prob of sequence cpp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60, 128, 198, 264, 320, 360, 378, 368?\n\"Answer: -s**3 + 7*s**2 + 54*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00580283729 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 divided by -9?\nAnswer: -446\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = -3*l. Let y(v) = 2*v**2 + 4*v - 1. Let g be y(-3). Let n be (-15)\/6*(-6)\/g. Is l <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 12*w - 10*w. Suppose -d = -w + 6. Solve -d*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = q + 15, -6 = 3*c - q + 9. Put 5, c, 1, -4 in increasing order.\nAnswer: c, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.5. Let t = -397.1 - -397. Which is the biggest value? (a) t (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -71, -67, -63, -59, -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30973, -61950, -92925, -123898, -154869?\nAnswer: -185838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 20 = -d, -3*d + 0*x = -2*x - 55. Let o be ((-10)\/15)\/((-1)\/(-108)). Let m be 2 + 2 + o\/d. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 5*f + 6*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0) + -57 + 47 + 12 - (1 - -53)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 79 (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - d - 18. What is c(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1401\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -17, 0, 1028, 7 in decreasing order.\nAnswer: 1028, 7, 0, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 29*l**2 + 23*l + 22*l.\nAnswer: -29*l**2 + 57*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 111000000010 (base 2) to base 8\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -13505?\nAnswer: 13500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.4 (c) -294 (d) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -189*v - 1. Let x(m) = 7*m**2. Calculate x(g(c)).\nAnswer: 250047*c**2 + 2646*c + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:34 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/29))**(-20) assuming c is positive.\nAnswer: c**(20\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13523302 (base 6) in base 14?\nAnswer: c05b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26a95 (base 12) to base 7.\nAnswer: -311444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -20)*8\/6. Let n(x) = -11 + 2*x**2 + 0*x**2 + 0*x**2 + 28*x. What is the units digit of n(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 17*n - 21. Let k(w) = -w**3 - 36*w**2 - 69*w - 20. Let s be k(-34). Determine z(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 70 = q, -2*q = 2*l + 3*q - 75. Suppose 0 = -4*h - 0*h - t + l, -19 = -3*h - t. Suppose 5*i - h = -2*c, 75 - 6 = 5*c - i. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35535052 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: -185 + -0.5\nAnswer: -185.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:43 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-318)\/53*2\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u. Let i(m) = -3*m. Let r(q) = -2*q - 4. Let k be r(0). Determine k*b(g) - 14*i(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 1\/7 (c) 284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 times 0.4?\nAnswer: 427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*k + 16*k**2 - 14*k**2 + 99*k**3 - 38*k wrt k.\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**3\/3 - 414. Let o(d) be the first derivative of -5*d**2\/2 - 1. What is o(v(m))?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687*u**3 - 697*u**3 + 2782*u**3 - 697*u**3 - 699*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -2*g**5 - 14*g**2. Let t(n) = -1326 - 4*n + 3*n + 1326. Determine t(o(s)).\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 16.3. Is c equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-147) - (-15315)\/63. Let j be 9\/10*108\/h. Are -315 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5 + 3. Let i(h) = h**2 - 4*h + 2. Let w be i(4). Suppose -w*o + 25 = 3*o. Put o, u, -5 in descending order.\nAnswer: o, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2107*f**5 + 47*f**3*h**3 - 4*f**2*h**3 + 1061*f**2*h**2 - f**2 - 2*f*h - h**2 wrt f.\nAnswer: -126420*f**2 + 282*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77413200, -77413209, -77413218, -77413227?\nAnswer: -77413236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.025 - -0.125. Is b bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 7*g**2 - 233*g - 92. Give x(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 573 = 5*p - 1342, -2*o + 1546 = 4*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2745 + 21448. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 36.90331 kilometers?\nAnswer: 3690331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Let j be (3 - 4)*-10*z*1. Let q = 120 - j. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35326714 and 11659.\nAnswer: 35338373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 719*l**4 + 18090*l**3 + 6495*l - 2022 wrt l?\nAnswer: 8628*l**2 + 108540*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 35*k**3\/6 + k**2 - 10*k + 23. Let y(u) be the first derivative of i(u). Differentiate y(r) wrt r.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -8, 3 in descending order.\nAnswer: 35, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 27*d**2 + 98*d + 177. What is u(-30)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -74\/11471 (c) -0.9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 31*h - 30*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -31088 less than -32214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9837 + -9829. Calculate the highest common divisor of q and 4088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**3 - 190*p**2 - 94*p + 79. Let k be v(-29). Calculate the highest common divisor of 71 and k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157611*h**3*k**4 - 259*h**3*k + 110392065*h**3 wrt k.\nAnswer: -630444*h**3*k**3 - 259*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 7. Suppose 5*h + 25 = -4*n, -n - 3*n + 4*h + 20 = 0. What is q(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 33495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 91*u**4\/6 - 257*u - 2. Let f(b) = -5*b**2. Give t(f(l)).\nAnswer: 4550*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340636389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 6. Let h be g(4). List the prime factors of 17\/2 + (-3)\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 2. Let i(k) be the third derivative of -k**4\/24 - k**3\/6 + 18*k**2. What is i(d) + l(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2498?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12)*(y\/(y*y*y**(1\/3)*y*y)*y)\/y assuming y is positive.\nAnswer: y**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Suppose -j - 2*j + 111 = 4*p, -4*j + 3*p + 173 = 0. Let o = 15 + j. Let d(v) = 26*v**2 - 56*v + o*v. Determine d(q(l)).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*48\/(-36) - (-2091)\/(-255)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*g**2 - 89*g**2 + 27*g**3.\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 198 = 54. What is the lowest common multiple of 9 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 207 = -27. Suppose 2*x = -2*x + 56. Calculate the least common multiple of h and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 - 2*n**2 + 2. Let r be p(-1). Suppose 5*u + 4*z = -3 + 22, 0 = r*u - 5*z - 10. Solve u*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1653, 150, -3 in increasing order.\nAnswer: -1653, -3, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 5 (c) 3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 843 divide 132978028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {k: 5, l: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3061 + -468337\/153. What is the common denominator of -99\/136 and d?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 5*l**2 - 7. Let m be h(-2). Determine p so that -4*p - 500 + 12*p**2 + 500 - 12*p**4 + 9*p**5 - m*p**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let u(c) be the second derivative of -3\/2*c**2 + 1\/3*c**3 - 1 - 3*c + 1\/12*c**4. Give u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 180 = -11*j. Let d = -90 + j. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.94 - 10. Let c = o - -0.06004. What is c rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 36\/133297?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000091468 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*y - 748340*y**2 + 748358*y**2 + 59*y.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-20*t**4 + 193*t - 193*t) + 15*t**4 - 19*t**4 + 18*t**4 + (2 + t - 2)*(-t**3 - 3*t**3 + 2*t**3).\nAnswer: 52*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -136*t**2 - 2*t + 89. Let s(a) = 409*a**2 + 7*a - 269. Let v(y) = 7*j(y) + 2*s(y). What is the first derivative of v(n) wrt n?\nAnswer: -268*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/140960 and 59\/40?\nAnswer: 140960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 403627136498036\/22035 + -18317546476. Let d = 1\/8814 - v. Find the common denominator of 28\/55 and d.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -1) + 5 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**3 - 96*s**2 + 104*s + 57. Calculate t(-17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 25*b = -3420. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 412.79 * 0.06.\nAnswer: 24.7674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 986?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -4\/3*f**3 + 6*f - 1\/4*f**4 + 7\/2*f**2 + 2. Let p(d) = -d**2 + 9*d + 5. Let z be p(10). Give m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r**3 - 70*r**2 + 8*r**2 - 48*r - 21*r**4 - 13*r**2 - 12 - 3*r**5 - 7*r**3 = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 + 44*f**2)*(-324*f**2 - 338*f**2 + 808*f**2).\nAnswer: 6424*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/60 and ((-254)\/(-14))\/((-31)\/((-868)\/(-120)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let r = b + -10. Let t(g) = 39*g + 79. Let v be t(-2). Is v != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2345 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8838, 6, 4 in ascending order.\nAnswer: -8838, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8428216 days to nanoseconds.\nAnswer: 72819786240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 31\/2*p**2 + 20 - 2*p. What is the first derivative of c(s) wrt s?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 98 + 88 = 0, -5*l + 3*y = 5. Solve 5*b - 6 = l*k + 18, 0 = -3*b - k + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 9*r**2 - 13*r + 12. Let c be s(-7). Solve c = q - 6*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -375*x**4 + 9*x**2 + 5*x + 169. Let s(a) = -187*a**4 + 5*a**2 + 3*a + 84. Let h(m) = 3*o(m) - 5*s(m). Find the third derivative of h(r) wrt r.\nAnswer: -4560*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 33*q**3 - q**2 - q + 1. Let z be s(1). Let h be 208\/6 + z\/24. Calculate the greatest common divisor of h and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -34.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 4*g**4 - 2*g**5)*(-203 + 52 - 166).\nAnswer: 634*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9461641, 18923267, 28384893, 37846519, 47308145?\n\"Answer: 9461626*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*p + 102*p - 191*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 9*w = 5*r - 16, -5*w - 3 = -2*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*b + 102*b - 19*q - 390 = -102*b - 12*q, -4*b + 276 = -5*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1085, 2153, 3221?\nAnswer: 4289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 3*w - 25, 4*w - 18 = g. Let p = g + 18. Put p, 3, -1 in increasing order.\nAnswer: -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110100100 - 11110?\nAnswer: 10101110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/34040 and -101\/644.\nAnswer: 238280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0*(-22)\/220)\/8. Put -1, -264, l in descending order.\nAnswer: l, -1, -264","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 53956.27 centuries?\nAnswer: 5395.627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) 0.5 (b) 2\/11 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9101 is divided by 118.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 261*a = 183*a + 7048 - 496 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 22. Suppose x*q + 9 = -17. Let h be (-20)\/(-50) - q\/5. Solve 3*n = 2*k + 7, h*k - 4*n + 3*n = -7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeneeeneeeeeep. What is prob of sequence npen?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79 and 346318225?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 5. Let x be o(2). Suppose -4*c = -v - 10, v - x = -2*c + 7. Suppose 3*k = -3*d + 318, -2*d + d - 302 = -c*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/12)\/(8\/32)*-36. What is the highest common divisor of 216 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32201320 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 8}. What is prob of sequence ccc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*c*t**4 - 2*c*t**2 + 18*c + 2*t**4 wrt t.\nAnswer: -408*c*t + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 28*h + 7. Let g(i) = i**2 - 14*i + 3. What is 5*g(p) - 2*m(p)?\nAnswer: p**2 - 14*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 2*d + 7. Let t(q) = q**2 + 9*q - 27. Let c be t(-11). Let a(x) = x**2 + x. Let u(o) = c*a(o) - f(o). Is u(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9*k - 4590 = 10*k, -h - k = 922. Let f = h + 919. Let p = -3.9 + -1.1. What is the smallest value in 1, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 66\/251?\nAnswer: 66\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*o + a, 5*o - 3*a = 18 + 17. What is the remainder when 19 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 - 26. Let p = -145.9999903 + k. What is p rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 26 = 216. Suppose 2*q = -k + 50. Calculate the remainder when 27 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*d + 3, 2*d - 2*p = -6 - 0. Suppose -4*z - 12 = d, k = -2*k + 5*z + 24. Suppose 3*h = -k*l + 6, -2*l + 2 = h - 2. Solve x + l*x + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.2 + 0.124?\nAnswer: -45.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -0.06 (b) 0 (c) -3\/2 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (34\/(-102))\/(1 + (-93)\/90). Does 46 divide (-1665)\/18*(-116)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.307 * -0.5.\nAnswer: -0.1535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(sqrt(3) + 1) + -5.\nAnswer: -8 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -299358 divided by -5?\nAnswer: 299358\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**3 + 3*z**3 + 2*z**2 - 39*z**4 + 44*z**4 + z - 2 as l*z + i*z**4 + a*z**2 + w*z**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -36 (c) 1\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001001011101 - -110000111?\nAnswer: 111001111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/13 - 4262*a**3\/13 - 2041020*a**2\/13 + 858324600*a\/13 + 630845874000\/13.\nAnswer: -2*(a - 479)*(a + 870)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 70*z**2 + 5. Is y(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -4, 1, 173, -7 in decreasing order.\nAnswer: 173, 1, 0, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a + 33?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*s - 61*f*s + f - 2137*s wrt f.\nAnswer: -2*f*s - 61*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, 109, 3 in descending order.\nAnswer: 109, 3, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -61.65?\nAnswer: -61.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*l - 18 = -109*l. Let o be 2\/1 + -9 + 2. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.53 - 3.7. Let w = a + 1.19. What is w rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 185 = 3*i, 3*i = -2*o - 18 - 35. Suppose 0 = -4*k + 272 + 12. Let y = o + k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g = 50*g - 2000000. Round g to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 51 = f - u, f = -2*u + 43. Let d(j) = 35 - 121 + 44 + f + j. Suppose -2*v - 3 = -15. What is d(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:27 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -80*s - 984. Calculate j(-14).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgg when three letters picked without replacement from {g: 5, l: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -96. Suppose z*t - 22*t - 48 = 0. Suppose 2*v = 3*v - 20. What is the remainder when v is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v\/(v\/(v\/v**1)))*v)**22*v**13\/(v*v**(-1\/3)\/v) assuming v is positive.\nAnswer: v**(304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 + 0)*(-3339*b**3 - 2465*b**4 + 3339*b**3) in the form x + w*b + z*b**2 + h*b**3 + o*b**4 and give o.\nAnswer: 14790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 3*o + 15, -74*j + 32 = -69*j + 2*o for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24989, -49981, -74973, -99965?\nAnswer: -124957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (sqrt(72) - (2*sqrt(72)*-6 - sqrt(72))) + sqrt(72) + -5) + 4)**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 496672 by 748.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 96*y**4 - 30118473*y**3 + 3149731551798*y**2 - 109797738932689260*y + 10293510341776968 = 0. Calculate y.\nAnswer: 3\/32, 104578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10249049 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 6*m + 11. Let c be b(6). Which is smaller: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 3, 708, 46, -5 in descending order.\nAnswer: 708, 46, 3, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/3 - (-74)\/(-18) and 60\/225 + 293\/45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 64214?\nAnswer: -64207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, -118762, 2 in descending order.\nAnswer: 6, 2, 0.1, -118762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 12*i**2 + 12*i + 13. Let l be v(13). Suppose -10*x + 9*x + 90 = l. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 4*g**2 - 8 + 3*g**3 - g**3 to the form y*g**2 + w + h*g**3 + i*g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199928 divided by 299982?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 15 = p, 5*y - 5*p = -1200. Let o = 2587\/11 + y. Put o, 4, -0.2 in descending order.\nAnswer: 4, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69351.69 centuries in months?\nAnswer: 83222028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2941 divide 146739174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28192937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 1 - 1 + (2*z - 5*z + 4*z)*(-3 + 4 + 1) + z - z - z + (-z - 2*z + 0*z)*(-3 + 7 + 1) + 24*z - 51*z + 25*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = 3*x. Suppose x*h = 3 - 0. Let t(r) = 3 - 3*r - h + 4 - 3. What is t(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - 1 - 1316\/6. Let q be ((-4)\/10)\/(0 - (-4)\/d). What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5752 + -5751. Let u = 8\/11 + -29\/55. Put 0.03, y, u in descending order.\nAnswer: y, u, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 26 = 2*f, 7*j - 39 + 67 = 0 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -3. Suppose -3*j - 10 + 5 = -5*b, 0 = -b - 4*j - 22. Let f = b + r. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -15, 7, 14\/3?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/5)*b**(-6)*(b*b**(1\/4))\/((b\/b**(-1\/3))\/b))**(-3) assuming b is positive.\nAnswer: b**(221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86, -93, -100?\n\"Answer: -7*u - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*i - 317*i = 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/135, -40, -2\/5?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111931*p*z + 2*p - 22*z - 962 wrt p.\nAnswer: -111931*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3783920221.\nAnswer: 71, 1279, 41669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/24 and -109\/3978?\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**3\/3 + 2*c**2 + 3*c - 13. Let u be f(4). Let s(b) = -b**3 + 4*b - 3. Calculate s(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epeepepeeee. Give prob of picking 2 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/(-49)*1 + -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*p = 4*m + 61*p - 4, -4*m + 4 = -3*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = 3*q + q, -4*q = -2*k + 30. Let d be (-1)\/1 - (-6)\/2. Let y = k - d. Solve -x = -y*n + x + 10, -4*x - 18 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/5 - (-1 - 40\/(-25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6425225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*k + 4, 3 = 3*k - 6. Let a be 5\/(-5) + (-61)\/(-54). Let t = 172\/27 + a. Which is greater: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(252) + -3)**2 + -1).\nAnswer: -1040 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 8*y + 925 = -6*y, -3*i - 3*y = -927. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -20. Let c(a) = -a**2 - a + 3*a + 4 - 2*a**2 - a**3 - 2*a**2. Does 14 divide c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*w - 19 - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*q + 4, -3*c - 2*q = -c + 16. Let z be (-10)\/4 + (-2)\/c. Let g(l) be the first derivative of l**4\/2 + l**3 - 1. What is g(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(128) + -2 + (-1 + sqrt(128) + sqrt(128))*5 + 5 + -1*(sqrt(128) + -2))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 7, 1\/13, -2\/3 in decreasing order.\nAnswer: 7, 0.3, 1\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18953 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 22\/3, 2\/7, -49, 3, 65?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 + 145*h**2 - 400*h + 260 = 0.\nAnswer: 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = 2*w, 0*w - 3*t = -3*w + 12. Solve -w*q - 34 = 5*l + 7, -4*l - 4*q - 36 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -21, 1\/7 in decreasing order.\nAnswer: 1\/7, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-9) + (-78792)\/(-189)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31066\/69941 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -132, -1\/4, 2, 3 in descending order.\nAnswer: 3, 2, -1\/4, -1, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 10022?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -11*j**8\/14 + 59*j**4\/12 + 2*j - 7. Find the third derivative of n(v) wrt v.\nAnswer: -5280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 16*r**2 - 46*r - 18. What is l(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*w**2 + 282*w**2 - 543*w**2.\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 8502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 q when three letters picked without replacement from qqsqssqsqqqqsqqqqsq?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286*k + 4221*k = -702*k - 3154*k - 225849 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 3 (c) -27 (d) 2 (e) 118 (f) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -80c68 (base 15) in base 11?\nAnswer: -259426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0, 11165, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 164*c**2 - 1755*c - 10530. Give f(152).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*x + 5*z, 3*x - 27*z = -26*z + 11. Solve -i - r = -15 + 21, 0 = 3*i + x*r + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 27*l + 24. What is s(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:49 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lillllwllwllll. What is prob of picking 1 w and 1 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {s: 2, c: 1, w: 8, q: 6, o: 2, b: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.5713 times 0.0263\nAnswer: -0.04132519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 4*q. Let b be v(-4). Let g = 4 - b. Solve i - 3*y = 4*i + 6, -2*i = -g*y + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212211 (base 5) in base 15?\nAnswer: 21db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 589583431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10891163 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 93137.57kg?\nAnswer: 93137570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 6091a52?\nAnswer: 6091a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187493896*y**3 + 6643*y + 15122.\nAnswer: 1124963376*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512, 2055, 4602, 8147, 12684, 18207, 24710, 32187?\nAnswer: 40632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -7)\/(-12) - (2 + -18373) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623\/801 - 4\/6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h + 12. Let s be k(-6). Let p = s + -200\/3. Which is the closest to 0? (a) 1\/7 (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*q = -4 - 15, -2*t + 2 = -2*q. Is (t - -6)*(-12981)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101111101111 - 101?\nAnswer: -10111101111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.65 + -178.35. Put 3, -5, l, 0.2 in descending order.\nAnswer: 3, 0.2, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 616*x**3 - 5*x - 10. Let m(k) = -21560*k**3 + 176*k + 352. Determine 176*d(h) + 5*m(h).\nAnswer: 616*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -198472 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 352387, 353345, 354941, 357175, 360047, 363557?\n\"Answer: 319*j**2 + j + 352067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5, -5*k + 0*f = -2*f + 87. Let a(r) = -8*r + 58. What are the prime factors of a(k)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 163\/((-90139)\/158)*(-7)\/(-4)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from qiibiiqaqiqiiq?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8624.2 to the nearest one hundred.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/2)\/y**11 assuming y is positive.\nAnswer: y**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19c6 (base 15) to base 3.\nAnswer: 21122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*m + 116 = 446 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(sqrt(612) + 2 - sqrt(612)))**2 + sqrt(612) + (-2*sqrt(612)*-4 - sqrt(612))).\nAnswer: 64 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**4 + k**3 - k**2. Let l(y) = 4*y**4 - 5*y**3 + 5*y**2 + y. Let j(g) = 3*l(g) + 15*u(g). Find the second derivative of j(o) wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**2 + 4*r + 4. Let h(q) = -18*q - 9. Calculate the smallest common multiple of h(-6) and t(-3).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 9*t - 4. Let x be t*3\/(-2) + 16 + -15. Let o = 67 - x. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/3 and 25\/90*(-6)\/15*-87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y = -71*y - 105 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 613393*c + 1764260 wrt c.\nAnswer: 613393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*o - 3*o. Suppose u + 0*u = -4*s - o, -3*u = -s - 10. Let p = s + 4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**4 + 3*s**4 + 3*s**4 + (-3*s**4 + 5*s**4 + s**4)*(-1 + 5 - 1) to the form x*s**3 + l*s + i*s**2 + a + k*s**4 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964.9 rounded to the nearest integer?\nAnswer: -1965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-59225)\/2994 + 6 + (-4)\/1. Let q = 26\/499 - g. Find the common denominator of q and 254\/(-30) + (-3)\/(-18).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1739 + 0.09692. Round u to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 40 - (6 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 7*p - 30. Suppose p*u = 3 + 17. Solve u*q + q = -15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146 (base 14) to base 10\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/99*10\/(-8)*16\/16.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*8*36\/(-24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x\/(x*x*x**(-3)))\/x)\/x*x*(x\/x**(-1\/6))\/x*(x*x**0)\/(x*x**8))\/(((x*(x\/x**(-2\/5))\/x*x*x)\/x)**(-2\/19)\/(x**(2\/5))**(2\/9)) assuming x is positive.\nAnswer: x**(-7681\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1069631*b**3 - 1241787*b?\nAnswer: 6417786*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 70657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 2*m + 4. Let u(r) = -13*r**2 - 9*r - 17. Suppose 10*s = 13*s + 27. Calculate s*z(k) - 2*u(k).\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -69. Let u = 29 + o. What is the closest to -1\/4 in u, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 943104467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17883, -17887, -17881, -17859, -17815, -17743, -17637?\n\"Answer: q**3 - q**2 - 8*q - 17875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*x + 10887, h - 4*x - 5422 = -1777. What are the prime factors of h?\nAnswer: 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-45) - (-28)\/15. Suppose -k*p + 4*i + 45 = -91, p = -i + 80. Let r = p + -62. Solve -w - 2 = b - 1, -5*w - r = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12521 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14171, -28437, -42799, -57257, -71811?\nAnswer: -86461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 280704*p + 4924670976.\nAnswer: 4*(p - 35088)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*f = -11, -20 = -0*d + 2*d - 2*f. Let h = 10 + d. Calculate the least common multiple of (2\/(h + 2))\/(-2) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 11*o**2 + 17*o - 12*o.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 120c3 + 3554?\nAnswer: 15647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 1574 - 3756 = 0. What is the lowest common multiple of 164 and c?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 6*w**2 - 2*w + 3. Let b be j(-6). Suppose 5 = 5*u - b. Suppose -100 = -u*h + 4*l, 2*h - 45 + 2 = -5*l. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 6267. Let g(j) be the second derivative of j**3\/6 + 12356*j. Give i(g(r)).\nAnswer: -2*r + 6267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13145, 2\/7, 0.042?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:10 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(((-4)\/(-2))\/(-2)). Suppose -7 = -2*b + 4*l + l, 3*b - w = -4*l. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 2*r = -a + 18, 4*r - 108 = -6*a + 8*r for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*b*r**2*y**2 + 7*b*r - 2*b*y**2 + b*y + 43*r**2 wrt y?\nAnswer: 196*b*r**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (-302)\/(-6)*(-43 + 46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45a + -15?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(11\/4))**(2\/65)*((z**(-7\/5)*z*z)\/z)**26 assuming z is positive.\nAnswer: z**(-1341\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/33 and 61\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6885 is divided by 1376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let p = -147349\/2 + 73676. Which is the biggest value? (a) u (b) p (c) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g - 2. Let n be (0 - -3)*6\/(-45). Which is bigger: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 - -478139?\nAnswer: 47817c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 4, 1716, -5 in ascending order.\nAnswer: -5, -3, 3, 4, 1716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -4 (c) 2\/20249 (d) -0.3 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6664266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12 - d - 30 + 17. Let h(v) = -4*v - 4. Determine 2*h(y) - 9*q(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 36 + 118*l**2 - 153 - 126*l**2. Let b(p) = 5*p - p - 3*p. Give b(g(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2 + 8. Suppose -3*u - 2*i + 1 = -v, 3*u + i = 11. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-52)*-8*(-4)\/40.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/(-3) - (-2)\/3) + 6. Let u be ((-18)\/(-8))\/(c - (-52)\/(-16)). Is (-18)\/8 + u\/(-36) - -126 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 28 = 4*x, -2*s + 16 = 2*s. Let w = x - -19. Suppose u + 15 = 4*u. What is the remainder when w is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 4078 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {s: 1, n: 7, b: 10}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffhwwhfmwfff. What is prob of picking 3 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 + 227 + 24*y**3.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-274)\/21*434\/(-124).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (61\/(-2))\/((-1)\/2). Suppose 16*n - 248 = 448 + 248. Are n and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.0305 + -0.0305. Which is the third biggest value? (a) 5\/3 (b) -0.028 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 255649, 255648, 255647, 255646, 255645?\n\"Answer: -y + 255650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -391 - -528. Calculate the remainder when b is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 12*z + 9*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 341860 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 + 4*x - 1. Let y be (-3 - -10) + -2 - (4 - 2). Let r(l) = l. Determine y*r(f) - v(f).\nAnswer: 5*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.6 - 1. Let z = -6 - j. Round z to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 0*z**2 + 3*z**2. Let k(r) = -2*r**2. Give k(j(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*d**3\/11 + 200790*d**2\/11 - 1679959728*d\/11 + 1679758944\/11 = 0. Calculate d.\nAnswer: 1, 16732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*6\/(-3) - -25. Suppose -3*o + 0*f - h = -f, -8 = -4*f. Is o\/21 + (-133)\/(-3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -q. Let a(c) be the third derivative of 0*c + 1\/90*c**5 + q*c**3 + 0 + 1\/36*c**4 - 2*c**2. Factor a(u).\nAnswer: 2*u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*z + 3*v - 47, -2*z - 3*v + 29 = 0. Let q = 106 + -76. What is the highest common divisor of q and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -15, -33, -59?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 3\/((-6)\/465016). Suppose s + 2*y = y + 46503, -5*s - 2*y = -o. Let p be (s\/(-18))\/((-2)\/2400). Round p to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-9)\/2)\/(-9))\/((-3)\/18). What is the second biggest value in -12, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**2 - 7. Let u(s) = 3*s. What is u(m(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*g = 35, 22*t - 20*t = 5*g + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*h + 182 - 3132 = 2718 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c - 2562 = 45*c. Suppose 0 = 251*n - 258*n + c. Calculate the remainder when n is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (510 - 513 - (1 + -10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 916, 2034, 3600?\nAnswer: 5614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1656192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (189\/(-54))\/((-2)\/4). Let t(s) = s**3 - 11*s**2 - 4*s**2 - 15*s + 0 + 24 - a*s. What are the prime factors of t(17)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 22*v**2 + 24*v + 11. Let r be g(-23). Let i be ((-3)\/(r\/(-62)))\/(-2) + 1. Factor -i + 5\/4*k**2 + 15\/2*k.\nAnswer: 5*(k - 1)*(k + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/12)*p*(p\/p**(-1\/8)*p)\/p)\/(p**(-3\/4)*p*p**(-15)\/p) assuming p is positive.\nAnswer: p**(431\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(sqrt(63) - (sqrt(6300) + sqrt(6300) + 2*sqrt(6300) + sqrt(6300)))\/sqrt(9) + -1*((sqrt(63) + (sqrt(63) - sqrt(378)\/sqrt(6)))*-5)\/sqrt(9) + -1.\nAnswer: -240*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + m**3 + 0*m**3)*(-28 + 7 - 17)*(3*m + m + m).\nAnswer: 380*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/4 - 2*h**3\/3 + h**2 + 10*h. What is the tens digit of c(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 260 + -263. Put -16, f, -0.1, -1\/2 in ascending order.\nAnswer: -16, f, -1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -129, -281, -451, -633, -821, -1009, -1191, -1361?\n\"Answer: l**3 - 15*l**2 - 114*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 15) in base 11?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26210*z**2 + 24642*z.\nAnswer: 52420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from qqqqqqyyyqyy?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14072914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 4. Let f be y(-4). Suppose -7 = -2*n - 2*o + 3, f = 3*n + o - 11. Solve -4*u - 21 + 9 = 0, 2*j + n = -u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79099118 a multiple of 3437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 + 20*x**2 - 11*x**2 - 6*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493476, -492980, -492484?\nAnswer: -491988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1943 + -1942.5. Let r be (-2)\/(0 + (-16)\/6). Put r, -2, y, -0.06 in descending order.\nAnswer: r, y, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 16161*o**2 + 29*o + 153. Is p(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214425 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqeneeeeepe. Give prob of sequence ee.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 165, 56, -117, -348, -631?\n\"Answer: z**3 - 38*z**2 - 2*z + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwd when three letters picked without replacement from wwddddwdddwdwd?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (23722\/(-12))\/(-1) - ((-105)\/90 - -1) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 45. Does 20 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) -12 (d) -0.11 (e) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 11) in base 5?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396191051?\nAnswer: 396191051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16908*w**2 - 8967*w**2 + 2613*w**2.\nAnswer: -23262*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -20 + 1\/12*u**5 - 3*u**2 + 0*u**3 + 0*u**4 + 0*u. Let n(w) be the second derivative of q(w). Suppose n(f) = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27749 + 59?\nAnswer: -27690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11013 = -2*z - 3*d - 11016, 4*d - 2*d = 5*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -64*b**3 + 28*b + 28. Let u(j) = 7*j**3 - 3*j - 3. Let n = 463 + -491. Calculate n*u(t) - 3*k(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852758959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5954 + 0)*67\/134. Let k = x + -1028. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32611, -32305, -31999, -31693, -31387?\nAnswer: -31081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*d = 1806*d + 842*d - 7784 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k + 74581 = 126056 + 136485. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 18*u - 23*u - 18, -4*f = -3*u - 14. Find the second derivative of -135*x**2 - 3 - 43*x + 0 - 55*x**2 + 105*x**f wrt x.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcqbzbs. What is prob of sequence zcb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b. Let g(j) = -145883*j**2 - 7. Calculate n(g(i)).\nAnswer: 291766*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/(23\/(-120)) + 5. Is 68205\/x*5 - (-8)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430211585 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1599 - -42177. What are the prime factors of r?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5 + 15. Let j be a\/7 - 66\/(-14). Suppose -v = -5*c + c - 5, -j*c - 8 = -3*v. Solve 5 = 4*u + v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08873 from -446553035.\nAnswer: -446553034.91127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d - 5. Let q(c) be the second derivative of c**3\/6 - c**2\/2 + 60*c + 1. Give a(b) - 5*q(b).\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 583 or 294.17?\nAnswer: 294.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w + 25. Suppose 63*u + 3*n - 27 = 66*u, -5*n = 5*u - 5. Sort u, 1, w, -2 in ascending order.\nAnswer: u, -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.1, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 24*f + 10 = 0. What are the prime factors of (-4 + 5 - 2) + f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3*s**7\/7 + 11*s**3\/3 - 3. What is the third derivative of u(y) wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1859, -3, 225 in ascending order.\nAnswer: -3, 225, 1859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3343 divide 962757256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-1 + 3)\/2*((-912)\/(-120))\/(-38)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -11*q + 1312. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -29 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -27293407.\nAnswer: -2\/27293407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2919 + 0.0489. Let v = q - 0.34. What is v rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.72251 kilometers to micrometers.\nAnswer: 79722510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1970 and -115\/3546.\nAnswer: 17730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -627*x - 4344. What is r(-7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - b**2 + 0*b + b**2 + 1 + 8*b to the form a + x*b + q*b**2 + n*b**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 593754*z**2 + 10*z - 16. Let r be k(7). Round r to the nearest 100000.\nAnswer: 29100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2040 - -2046. Calculate the remainder when 1 + (0 + -2)*-31 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -139373, -139367, -139361, -139355, -139349, -139343?\n\"Answer: 6*x - 139379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/6 and -25\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17477*r**2 + 34931*r**2 - 17483*r**2.\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 78, 120, 162, 204?\n\"Answer: 42*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 17*c - 150. Suppose x - 4*f = 5, 5*x + 2*f = 3*f + 63. What is the remainder when c is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-4) - (-13)\/12 and (-69)\/33 + 1 + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -458629, -917254, -1375879?\n\"Answer: -458625*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**2 - 31*t**2 - 21*t**2 + 98*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-5)*(-25)\/5*870\/(-3625)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3348)\/(-2511)*((-3)\/3)\/((-3)\/99).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1233?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5689 divided by -9.\nAnswer: -5689\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 1865964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 4*z - 17. Let g(s) = -2*s**2 + 5*s + 16. What is -4*g(m) - 5*p(m)?\nAnswer: -2*m**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from llvnmvmlmvvv?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2611982974.\nAnswer: 2, 103, 12679529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002467 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -12, -19, -26, -33, -40?\n\"Answer: -7*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1107, -4919, -11443, -20679?\n\"Answer: -1356*i**2 + 256*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5 = -3*o, -162*h + 2*o - 8 = -157*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/(-10) - 6\/(-4). Suppose -13 = -m*b + 71. What is the least common multiple of (-5)\/(-30) - 53\/(-6) and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 + 256*r\/5 - 104.\nAnswer: 2*(r - 2)*(r + 130)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -91\/4274852 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((5*sqrt(2736) + 2)*-4)**2 - ((sqrt(513)*-6)\/(-6*sqrt(3)*-2))**2).\nAnswer: -13133055\/2 - 23040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 87323 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 10, 13, 7, -9, 2 in decreasing order.\nAnswer: 13, 10, 7, 4, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 + 2*v**2 - 3. Let s(u) = -1. Suppose -6*j + 8*j - 3*q = -27, -12*j = -2*q + 82. Determine j*s(k) + 2*n(k).\nAnswer: -6*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 11) in base 7?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*3 + 2 + sqrt(2) + 0.\nAnswer: 2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1043, -1040, -1037?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = p + 30, -p + 72 = 2*o + p. Suppose -3*l - 5*x = -0*l - o, -4*l + 44 = 2*x. 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 4791663 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -610.5 + 484. Let f = -2882 - -2790. Let q = r - f. What is q rounded to 0 dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4*w + 178*o**2*w**2 + 17*o - w**2 + 1 wrt o?\nAnswer: 12*o**2*w + 356*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 5:15 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 1832?\nAnswer: -1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15616899 to the power of 1\/2, to the nearest integer?\nAnswer: 3952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2*u**2 - 77*c**2 + 2*c - 24182*u**2 + 141 wrt u.\nAnswer: 4*c**2*u - 48364*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.390558 rounded to one dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175128 = 3413*s + 1532*s + 249512 + 222316 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29013*u**3 + 33919*u.\nAnswer: -174078*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 372 - 371. What is the smallest value in -0.2, n, -4.4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/(2\/(-12)). Suppose -c*t + 10 = -2*r - 1, 0 = -3*r + 3*t - 9. Let w be 1*3\/(-3)*-4. Sort 0, w, r in descending order.\nAnswer: w, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 8:32 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 8*w**2 + 3*w - 11. Let r be o(8). Let t(b) = -b**3 - 9*b**2 + 1. Let u be t(-9). Put -3, u, r in descending order.\nAnswer: r, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.1, -0.04, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 94990225 divided by -76175\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -25, 8, -766, 1, 2 in descending order.\nAnswer: 59, 8, 2, 1, -25, -766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 4 + ((-224)\/4)\/(-8). Let l(t) = 270*t - 119. Is l(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:38 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (101 - 95) + (-1 - -6 - -19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1024 + -954. What is the remainder when 419 is divided by s?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15451960194822522 - 15451961139885318.00000055. Let t = f + 945062773. Let q = t + 23. Round q to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -649*g**3 + 99*g**2 - 99*g - 99. Let m(y) = 26*y**3 - 4*y**2 + 4*y + 4. What is 4*c(i) + 99*m(i)?\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 387847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 234 + 192 = 6*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -28. Let u(r) = -101*r + 394. Let l be u(4). Which is the fourth smallest value? (a) l (b) 0.3 (c) y (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0)*(6\/(-9))\/(-2). Suppose o = -z + 9*z - 144. Calculate the smallest common multiple of z and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 1 - 2)*(1 - 3 + 1)*(2*x**2 - 7 + 7) - 3*x**2 - 2*x**2 + 4*x**2 as h + q*x + t*x**2 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 14. Let q be 4\/p + 9\/(-96). Let w = q + 3\/32. Which is the smallest value? (a) 2\/7 (b) 2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5713?\nAnswer: 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 872450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 6:21 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 7}. What is prob of sequence xpx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osoblsbsssoobsobbs. Give prob of picking 1 b, 2 s, and 1 l.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11814, 11818, 11824, 11832, 11842, 11854, 11868?\nAnswer: 11884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -18) + 5 + 52 + -4?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -26*d**3 + 11*d**2 + 9. Let q(a) = -5*a**3 + 2*a**2 + 2. What is -2*l(p) + 11*q(p)?\nAnswer: -3*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 215*b + 26. Let z(h) = -431*h - 57. Calculate -13*v(q) - 6*z(q).\nAnswer: -209*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/sqrt(9) + 0 + -3.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c. Let w(k) = 9*k. Let v(o) = 225*o. Let f(u) = -4*v(u) + 99*w(u). Calculate f(i(j)).\nAnswer: -54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10*2 + (-270)\/(-50). Solve s*z - 10 = -5*q, -5*z + 7*q - 40 = 2*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -367335 divided by 6\nAnswer: -122445\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8399 and 12099.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3781949?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -16\/58213 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 3993636.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 186 - -23 - 0\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**3 - 2 - i**2 - 5*i - 9*i - 5*i + 21*i as c*i + q + p*i**3 + z*i**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1310 - 1511.9. Let f = d + 190. Let x = 4.3 + f. What is x rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.4 + 12574.\nAnswer: 12504.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89773.0932 minus -2?\nAnswer: 89775.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gigi when four letters picked without replacement from iiiiigiiiiigi.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2180*-0.016.\nAnswer: 34.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531753869.\nAnswer: 317, 1677457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*m + 21. Solve m*x + 16 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iifq when four letters picked without replacement from fiqfiiifff?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7138 is divided by 229?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/336 and 71\/961552.\nAnswer: 20192592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*a - 2. Suppose a*l = l + 4. What is the derivative of -5 - 6*s + 4 + l*s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52214113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134747\/3 + 44313. Is -604 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 141*t**2 - 3339*t - 33016. Calculate o(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.316 rounded to the nearest 10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-21) + 22200\/2331)*(-3)\/12.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(720) + -4*(sqrt(5) + -2))**2.\nAnswer: -256*sqrt(5) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -99*z + 149. Let f(t) = 97*t - 152. Let m(l) = 5*f(l) + 4*u(l). What is the first derivative of m(v) wrt v?\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1. Let z(r) = r - 2. Let t(o) = -2*f(o) - z(o). Let q(j) = -7*j. Calculate t(q(n)).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.702 - -0.228. Let r = k - 0.03. Let b = r + 0.1. Which is greater: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:49 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*y + 7 = r, -4*r - 4*y + 12 = 0. Let n(m) be the first derivative of -r*m**2 + 2*m + 2\/3*m**3 + 1. Factor n(f).\nAnswer: 2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7243 by 1663.\nAnswer: -7243\/1663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 20 + 16. Suppose 2*m = 2*u - 24, -5*u + 3*m + 27 = -3*u. Let v = s - u. Solve 0 = -p - 3*l + 3, 4*p + v*l - 2 - 10 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12605, -50522, -113739, -202274, -316145?\nAnswer: -455370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhxhhhhhxxashzzxxx. Give prob of sequence shh.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + 5) - (2 - 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27447.357 months?\nAnswer: 228.727975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 501907 - 501907. Determine t, given that -1\/5*t**2 + x*t + 4\/5 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 6*a**2 + 3*a + 5. Suppose -4*r = 5 - 21. Suppose 0*t + 3*t - 15 = -2*q, r*t - 32 = -4*q. Calculate the remainder when n(-5) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**3 + 4. Let i(v) be the third derivative of -1\/60*v**5 + 7\/120*v**6 + 0*v - 189*v**2 + 0*v**4 + 5\/6*v**3 + 0. Calculate -4*i(s) + 5*k(s).\nAnswer: 2*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 51, -13\/2, -1?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 - 14751720*i + 13600827684900 = 0.\nAnswer: 1843965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 904, 2240, 3590, 4960, 6356, 7784, 9250, 10760?\n\"Answer: g**3 + g**2 + 1326*g - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/(h*h\/(h\/((h*h**(-2\/7))\/h)))*(h*h**2)**(-44))\/(h**(-2\/21)*h**(-2\/13))**10 assuming h is positive.\nAnswer: h**(-36916\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26304, -26621, -27186, -27999, -29060, -30369?\nAnswer: -31926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2469 is divided by 224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 10*r - 6. Let a be m(-7). Let w be a\/(-12) - 3\/(-12). Does 20 divide w*(-3 + (-47 - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-235)\/282)\/(1\/((-42)\/10))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 4:08 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*v - 285 = 0, 3*o + 97*v - 162 = 94*v. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.47742 times 4\nAnswer: -9.90968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 13*x + 15. Let v be g(-12). Suppose t + 67 = v*j, 5*t - 113 = -5*j + 32. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(1 - 6 + 2)*(-2*y**5 - 4*y**4 + 4*y**4).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39426173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -3.1 (c) 2\/5 (d) 3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -31018163?\nAnswer: 31018164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-405)\/(-345)) + 11 - (19 - 17)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8 - 26*s**3 - 25*s**3 + 3*s + 52*s**3 - 5*s**2. What is the units digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 7*h + 3. Let c = 21 + -15. Give n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(55)*6)\/(sqrt(11)*-3*2 + sqrt(11)).\nAnswer: -6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = a - 767, -4*a - 232 = -2*m - 3336. Suppose 8*n + 295 - a = 0. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35498 + -17575. List the prime factors of x.\nAnswer: 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002263740979 rounded to seven dps?\nAnswer: -0.0022637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 + 100 - 120 + 142 - 122.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 170653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48589650 rounded to the nearest 10000?\nAnswer: -48590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1162811 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k*k\/(k\/k**(-1)))\/k))**(1\/34) assuming k is positive.\nAnswer: k**(3\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -29. Let w = -44 - k. Does w = 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383 = -3*n + 5*r + 419, 4*n - 2418 = -r. Calculate the remainder when n\/16 - -2 - (-2)\/8 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39278997?\nAnswer: 3, 223, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -70. Let n = -32 - f. Let p = 7.1 + n. What is the nearest to 0.1 in 7\/5, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/129985 and 1\/30.\nAnswer: 779910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 2*v + 5. Suppose -2*z - 2 = y + 3*y, 5*y + 5*z = 0. Let w(m) = m + 1. Give y*k(l) + 4*w(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6638172 by 1659543.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.1174 (b) 147 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2679?\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21\/8 + 67\/24. Let r(o) be the second derivative of 0 - m*o**4 + 0*o**2 - o + 1\/3*o**3. Suppose r(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 79130\/579*((-114)\/(-15) + 2). Which is smaller: l or 1313?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 0.523?\nAnswer: 0.523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 7*o - 138 + 34*o + 31 + 40.\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -4 (c) -0.7 (d) -8 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 13*h**2 + 30)*(0 + 0 - h) in the form s*h**2 + p + x*h + q*h**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.55593 milligrams in tonnes?\nAnswer: 0.00000003755593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.7789 and 36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:43 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/9 + 1513*l**2\/3 - 309520*l\/3 + 48618172\/9.\nAnswer: -(l - 4327)*(l - 106)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:02 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/(((-30)\/24)\/(115\/(-2)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 242*z**2 - 12*z + 16. Suppose 3*d - 3*g - 6 = 6*d, 3*d = 4*g + 22. Does 80 divide o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76103.57637816+0\nAnswer: 76103.57637816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/40 + 3*u**4\/16 + u**3 - 19*u**2. Determine h, given that z(h) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2 + t**2 + 314*t + 0*t**2 - 311*t. Suppose 9 = c - 4*c. What is i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 3*i + 14*i + 13*i.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 - 22*l + 14. Is j(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 173 = 3*k, -133*l - 27*l = 4*k - 556 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626673?\nAnswer: 3, 208891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 + 47*c - 17*c**3 + 2*c**5 - 29*c = 0. What is c?\nAnswer: -3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3910*o**2 - 2697*o + 2697*o.\nAnswer: 3910*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b - 6*b - 3*c, 2*b + c + 14 = 0. Let i(u) = 2*u + 20. Let m be i(b). What is the first derivative of -w - 3 + 8 - m*w + 5*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-355)\/230 - 6\/(-4). What is the smallest value in -1\/5, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 356, 1232, 2924, 5702, 9836, 15596, 23252?\nAnswer: 33074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 - 15*o**3 + 16812*o**2 + 13*o - 16810*o**2 + 6*o to v*o**3 + l*o + j*o**4 + x + g*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 - j + 1. Let w(q) = 3*q**3 - 4*q**2 - 4*q + 9. Let t(i) = -21*i - 46. Let u be t(-2). Calculate u*p(z) + w(z).\nAnswer: -z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -9\/1822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - k + 0*k)*(-12 - 13 - 59) in the form d + b*k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*v**4 + 428*v**3 - 36*v**2 - v + 761 wrt v.\nAnswer: 960*v + 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005377011149 to 4 dps.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -14*g**5\/11 - 254*g**4\/11 + 508*g**3\/11 - 240*g**2\/11 = 0.\nAnswer: -20, 0, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*(j\/(j**(-1\/12)\/j))\/j)**(2\/23) assuming j is positive.\nAnswer: j**(13\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 194101, 387971, 581613, 775027?\n\"Answer: -114*g**2 + 194212*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*(sqrt(1216) + 1) - (-1 + sqrt(1216) + 5))*6 + (-5*(sqrt(1216) + 1) - (sqrt(1216) - (sqrt(1216) + (sqrt(1216)*2 + sqrt(1216))*2))) + 1)**2.\nAnswer: 5456*sqrt(19) + 148097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5921 - 59153\/10. What is the common denominator of 50\/9 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1859286052 by -35755501.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 123418 divided by 8\nAnswer: 61709\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, o: 11}. Give prob of sequence eeee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3151811\nAnswer: -3151811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.51 - -0.91. Let i(b) = b**3 - 4*b**2 + 3*b + 1. Let n be i(3). What is the nearest to n in -0.4, -8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 11:51 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 + 98. What is the remainder when 25 is divided by (-324)\/l + (-6)\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112326220 (base 7) in base 13?\nAnswer: -156c025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m + 64 = z, 3*z = -m + 16. Let w be ((-64)\/m)\/((-14)\/(-1)). Is w equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1 + 14*u - 32*u + 9*u + 4*u. Let r be z(-3). Let j = 24 - r. Do j and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/27 - (-2)\/(-18). Solve -5*g + 8 = -3*t, w*t + 3 = 4*g + t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 4)*((2 - 2 + r**2)*(-1 + r + 1) - 4*r**3 + 39*r**3 + 21*r**3).\nAnswer: 171*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + (35\/140)\/((-22)\/(-928)). Which is bigger: u or -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 3*u - 4*u)*((4 - 4 - 4)*(-1 - 2 + 2) + 3 - 1 - 1)*(0 + 2 - 1)*(-4*u**3 + 3*u**3 - u**3).\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 11 (c) 0.22 (d) 0.016 (e) -4 (f) 141\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**2\/2 + 10*q. Let r = -2206 - -2186. Let g(k) = 2*k + 4. Give r*o(i) - 5*g(i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -393, -377, -359, -339, -317?\n\"Answer: z**2 + 13*z - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/28*4\/402. Let a = -19119\/10318 - r. Find the common denominator of a and -23\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06953 + -0.23047. What is the nearest to 0 in 2\/5, 0, y, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 4 - 4)*(2*v - 2*v - 7*v**2) - 7*v**3 - 2*v**3 + 3*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1565*p**2 - 2783*p**2 + 1396*p**2 + (-4 + 2 + 1)*(4*p - 4*p - 2*p**2).\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/2364 and -31\/270.\nAnswer: 106380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1\/3 - (1 - -1). Let t be (-20)\/(-50) - 3026\/10*w. Let f = t - 133. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -13. Calculate the smallest common multiple of d and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 67*n**2 + 854*n - 10667. Calculate v(55).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3075561 tonnes to nanograms.\nAnswer: 307556100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1550, 3092, 4654, 6242, 7862, 9520?\nAnswer: 11222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357925 to the power of 1\/2, to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 2*v**3\/21 + 659*v**2\/7 - 2644*v\/7 + 7175. Factor c(j).\nAnswer: 2*(j - 2)*(j + 661)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 159069842 to the nearest ten thousand.\nAnswer: 159070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 29*j = -35. Let f = 4 + j. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 931 and 2128.\nAnswer: 14896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 18 + 20. What is the third derivative of -36*i**m + 28*i**2 + 19*i**3 - 32*i**2 - 33*i**2 wrt i?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**2 + 1972*q - 1758. Let u be z(-220). Determine g, given that 24\/5*g + 2\/5*g**u + 8 = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251504 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89 by -10465.\nAnswer: -89\/10465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-18))\/((-64)\/(-96))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 53*u + 301. Let o be k(-5). Solve 3*n = -3*i - o + 9, -i + 9 = -5*n for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, d: 1, c: 8, o: 1}. Give prob of sequence ocud.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92\/5 or -17?\nAnswer: -92\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-4*n + 4*n - n) + (4 - 4 + 2*n)*(-2 + 7 - 2).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 6, 3, 0, 43, 5.\nAnswer: 0, 1, 3, 4, 5, 6, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - 2*s**5 + 3*s**5 + 0*s**2 + 0*s**2 - 2*s**5 + (-3*s**3 + 5*s**3 - s**3)*(-s**2 + s - s) + 4*s**5 + s**5 - 6*s**5 + 5*s**2 - 5*s**2 + s**5.\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 169*x**3 - 8*x**2 - 35*x - 31. Is c(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 4*y**2 + 19*y**2 + (4 - 4 + 3*y)*(5*y + y - 4*y) + (5 + 1 - 4)*(-3*y**2 - 2*y**2 + 4*y**2))*(-3 + 3 + 1).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.8193*0.0532\nAnswer: 0.20318676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5436\/112 + (-4)\/14)*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 8*z**2 - 1. Suppose 0*r + 3*w = -3*r + 3, 5*w = 5*r - 5. What is l(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -39*a**2 - 1. Suppose -31*s = -200 - 79. Suppose 0 = -5*n + p + 6, 4*n = p + 4*p + s. Calculate y(n).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqm when four letters picked without replacement from {m: 5, q: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b44581 - -3?\nAnswer: -2b4457a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 327561036 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 3. Let h be t(8). Solve 0 = -j + 2*i + 7, 0 = j - 2*j - h*i - 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 2*j**2 - j - 2. Let m(u) = u**3 - 10*u**2 - u + 13. Let g be m(10). Does 14 divide s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/8 + (-12)\/(-16). Solve -z*p = -p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -23*s**3 + 5*s**2 - 5. Let n(b) = -35*b**3 + 8*b**2 - 8. Let h be 12*(-7)\/(-168) - (-11)\/(-2). Let i be 52\/6 + 4\/(-6). What is h*n(x) + i*z(x)?\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 5*s - 1. Let k be d(5). Let i(w) be the third derivative of 7*w**4\/12 + w**3\/6 + 78*w**2 - 26*w. Determine i(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:16 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2874 - -2873. Let r = 10 + -9.8. Which is the nearest to i? (a) r (b) 1.8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)*g**6)\/(g**(-23\/4)*g\/(g\/g**8*g)) assuming g is positive.\nAnswer: g**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*r**3 - 41*i*r**2 - 359*i*r + 5*r**3 + r**2 + 3*r - 1 wrt r.\nAnswer: -18*i*r - 82*i + 30*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37100*s**4 - 23063*s**2 wrt s?\nAnswer: 890400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1)\/m)**(-6) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (-1230)\/(-30) - ((0 - 2) + -12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 - 76 = -8*p. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 6*q + 6. Let y(k) be the third derivative of -k**6\/120 + 7*k**4\/24 + 7*k**3\/6 + 34*k**2. Suppose -2 + 23 = -3*h. Calculate h*t(m) + 6*y(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-36)\/54). Suppose -f + i = -2. Suppose 5*r + 21 = f*w + 96, -3*w = -r + 3. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 99*g**2. Let v(y) = -163*y**2 + 442*y**2 - 153*y**2 - 149*y**2. Calculate j(v(o)).\nAnswer: 52371*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(2\/(-4) - -2). Suppose o*s + 7 = 1. Let h be ((-465)\/s)\/(-3)*-40. Round h to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4 + 11504*f**3 - 1189224*f**2 + 29233984*f + 63316864 = 0.\nAnswer: -5854, -2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/2)\/o)\/o)\/((o**(1\/8)\/o*o*o)\/o))**(-1\/11)\/(o**(2\/21)*o*o**(-3))**(-33) assuming o is positive.\nAnswer: o**(-38573\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -367155159761407\/40810 + 8996695904. Let z = -320\/371 + h. Calculate the common denominator of z and 67\/6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19110, -19115, -19130, -19161, -19214, -19295?\n\"Answer: -d**3 + d**2 - d - 19109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2 - 24900*f - 155002500 = 0.\nAnswer: -12450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/213 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 659, 5356, 18107, 42938, 83875, 144944, 230171?\n\"Answer: 671*p**3 + p**2 - 3*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 3*u**2 - 3*u**3 + 2*u**3 + 153*u + 66*u.\nAnswer: -u**3 - 3*u**2 + 219*u + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.28485t to grams.\nAnswer: 62284850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = m - 5*w, 2*m = 5*m - 3*w + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2333 = -5*u + 763. Sort u, -1, -4 in descending order.\nAnswer: -1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - ((sqrt(99)*-2)**2 - sqrt(11))) + sqrt(99) + 4.\nAnswer: -392 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 88. Let p = 1.5 - 0.5. Which is the closest to p? (a) i (b) -6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 1*(0 - 2)*(-25 + 15)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*i - 10239 = -15*i - 3183 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770670 divided by 79162?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.8 (b) 0.6 (c) 1171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366 and 244?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96508 divided by 4196.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968585?\nAnswer: 5, 307, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76039 + -37526. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 11*l**2 - 2*l + 12. Let m(f) = f**2. Let y(d) = -4*m(d) - u(d). Calculate the remainder when 2 is divided by y(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-64)\/(-3))\/1)\/((-168)\/(-252)). Sort -2, d, 0, 5.\nAnswer: -2, 0, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/5940*5*1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -6) + -5 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21886197 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from {s: 1, l: 8, e: 1, x: 9}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/7 - 1940*c**2\/7 + 931125*c\/7 + 9506250\/7 = 0. What is c?\nAnswer: -10, 975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q*q)**(5\/4)\/((q\/(q*q*q**(-2\/3))*q)\/(q**(-2\/13)*q))*((q*q\/q**(-2\/7))**(-1\/10))**(-28) assuming q is positive.\nAnswer: q**(4157\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -172, -149, -116?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-18)*((-100)\/48)\/25.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8.35031 * -7\nAnswer: -58.45217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 350 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 26*o - 1600 + 1600 + 2*o**2 to the form q*o**2 + w*o + r and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 13, j: 2, e: 2, b: 3}. Give prob of sequence nb.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5303 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206 + -494. Round h to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82991?\nAnswer: 37, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c. Let j(f) = -16601*f - 2. What is s(j(m))?\nAnswer: 33202*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*j = 88*j - 2*w - 6, 3*j - w = 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 0.1, 3\/7 in increasing order.\nAnswer: -1.5, 0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -293585*v**2 - 7370*v + 27 wrt v.\nAnswer: -587170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-156))\/((-51)\/27 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/7, 1.1 in descending order.\nAnswer: 5, 1.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**2 - 11*c. Let l(y) = -13*y**2 - 16*y. What is 5*l(w) - 7*t(w)?\nAnswer: -2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 408, -1, -4.\nAnswer: -10, -4, -1, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d + 25. Let r(w) = -w. Calculate -o(v) - 15*r(v).\nAnswer: 5*v - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 111*a**3 + 7*a**2 - 2*a - 3. Let j(l) = -112*l**3 - 6*l**2 + l + 2. Let u(b) = 5*j(b) + 4*t(b). Is u(-1) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 20. Suppose 5*g - j = a, -3 = -4*g + 3*g. Calculate the least common multiple of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -9477aa?\nAnswer: -9477aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2014413834 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 4*h + 3, -506556*h = 4*s - 506553*h + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/(-14))\/((-9)\/168). Suppose 3*l - a = 12. Let z(c) = 11*c**2 - 1. Calculate the lowest common multiple of z(-1) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnoooy. What is prob of picking 2 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1*((-12)\/4)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 6*o + 1. Let r(h) = -4*h**2 - 13*h - 2. Let f(n) = -n**2 - 10*n + 2. Let m be f(-11). Give m*d(t) - 4*r(t).\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -153, -0.4, -15807?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*t + 2. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 892 = -t, -5*g + 2*t + 4478 = -2*t. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -1\/24*w**4 + 0*w - 1\/30*w**5 - 1\/30*w**3 - 1\/1680*w**8 - 6*w**2 - 1\/210*w**7 - 1\/60*w**6 + 0. Find r such that c(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 - -2) - 7) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03174486244 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880136?\nAnswer: 2, 110017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-15 + 2 + (-8 - -4) + -8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) 0.009 (c) 4\/5681\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6648 by 6.\nAnswer: -1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, y: 3}. Give prob of sequence eyy.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53627.79 millennia to decades.\nAnswer: 5362779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 23 = 2*b, 20*m - 46 - 52 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -184, -184, -182, -178, -172?\n\"Answer: v**2 - 3*v - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 2. Let h = -10 + 14. Let g be v(h). Let d be 0\/(g\/(-6)*-3). Let c(l) = l**2 - l + 5. Give c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h - 34. Is t(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20013000\/41 or 488122?\nAnswer: 20013000\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 1173?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u - u + 2*u)*(u**2 - 3*u**2 + u**2)*(158 + 184 + 117) to the form h*u + p*u**3 + c*u**2 + t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.799 times -3\nAnswer: 8.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f + 203*f - 89*f = -5*n + 15, -24 = -4*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -6*w + w - 6, 5*f - 10 = 0. Is 2\/8*2 + (-1105)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 + 40*p**2 - 42*p = 0. What is p?\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 10:47 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/3)\/((-20)\/24). Suppose 0*r + z*r + 134 = 4*p, 102 = 3*p - 2*r. What is the lowest common multiple of 10 and p?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 35*v**5 - 460*v**4 + 815*v**3 - 390*v**2.\nAnswer: 5*v**2*(v - 1)**2*(7*v - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 + 9 = 0. Let w be (-4)\/10 + (-52)\/20. Let p be w*((-2)\/(-6) + 0). Put p, -2, y in decreasing order.\nAnswer: y, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 2*i - 5*i)*(-15*i**3 + 10*i**2 + 11*i**2 - 23*i**2).\nAnswer: -15*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20\/6*(-5)\/(-50)*12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 73 = 163. Calculate the greatest common factor of o and 2110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/40*1*(-2)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2560?\nAnswer: -2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 24 = -r - 0*p, -r - 16 = 3*p. Suppose 4*g + 2*o - 8 = 0, 2538*g = 2533*g - o + 19. Sort 0.5, g, r, -5 in descending order.\nAnswer: g, 0.5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14061924 a multiple of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 72.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-2))\/(-3)*(-42)\/329. Is -1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i**3 - 5*i**3 + 9 - i**3 in the form b + m*i + s*i**3 + h*i**2 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-23))\/(w\/(w**(2\/9)\/w*w)) assuming w is positive.\nAnswer: w**(-196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2857909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(304))*-6.\nAnswer: 60 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 532, 664, 796?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 1053?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106986 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110)*3 - sqrt(110))) + sqrt(110))*-2*2)\/(sqrt(40)\/(3*sqrt(4) + sqrt(4))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3 + 4)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {r: 1, b: 1, d: 2, h: 1, s: 1, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41.46 and -2027610.4?\nAnswer: 2027568.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + k - 2*k**2 - k**2 + (0 - 2 + 4)*(5*k**2 - 5*k**2 - 2*k**2) + k**2 - k**2 + k**2.\nAnswer: -4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60269327 and 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (-2 - 0) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11998\/5 - -2400. Which is the nearest to 19? (a) -0.4 (b) 6 (c) p (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91941.1nm to kilometers.\nAnswer: 0.0000000919411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0. Let a = -102.3 + 96. Let w = a - -6.2. What is the closest to w in -2, -0.01, f?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791138903 a multiple of 2868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.834008l to millilitres.\nAnswer: 834.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012 + -101220011?\nAnswer: -102000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.8, 2\/3, -0.1.\nAnswer: -0.8, -0.3, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1595379850 rounded to the nearest 100000?\nAnswer: -1595400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/60 - 5*p**3\/6 + p**2 - 105*p. Let g(a) = -1. Let o(r) = f(r) - 5*g(r). Let u(q) = -12*q**2 + q. What is o(u(x))?\nAnswer: 144*x**4 - 24*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q**3 - q**2 - 18*q + 19. Give m(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403880 and 2750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11 (b) -0.5 (c) 2\/7 (d) -2\/23 (e) 0.11 (f) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 12 = -2*k, 30*k + 16 = 25*k - 3*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -2*c + 3*g, 2*g = -2*c + 22. Suppose 0 = -4*j - c + 29. Let v be -2*-3*(j - 0). Calculate the highest common divisor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 117, -102, -651, -1530, -2739, -4278?\n\"Answer: -165*s**2 + 276*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.14, 21\/4, -0.5, -1, -7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 0*h**2 + 3*h**2 + 0*h**2 + 4*h.\nAnswer: -2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211441343 (base 5) to base 2.\nAnswer: -10010010011000000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 1. Let m = 1077 - 938. What is the remainder when m is divided by x(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 67.9. Let k = 1.4 + -0.5. Let u = 0.94 - k. Which is the closest to y? (a) -1\/3 (b) u (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/25)\/(o**18*o*o)*(o*o\/(o\/(o**(1\/23)\/o)))**(2\/65))**(-27\/2) assuming o is positive.\nAnswer: o**(2026188\/7475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -729\/7. Let g = 12 + -20. Let w = g + 5. Which is the nearest to 0? (a) k (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.5 - -6.5. Let a = 28 + v. Let l = 21 - 24. What is the closest to -1 in a, l, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*y = -y + 23, 5*t = 5*y + 55. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2. Let y(r) be the third derivative of -r**5\/24 + 2*r**3\/3 + 4*r**2. Let t(a) be the first derivative of y(a). What is h(t(z))?\nAnswer: -75*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 3*z - 2*l, 4*l - 101 = 5*z + 61. Let q be z\/10*2\/(-6). Let d be 8\/(-4) - (q + -2). Sort d, 8, -5 in decreasing order.\nAnswer: 8, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3297234.\nAnswer: 2, 3, 23, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6232 + 6235. Let s be 44\/8 - (-1)\/(-2). Solve -b*x - 2*c = c - 3, s*c = -x + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 34 - 589 = -78*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**5 + 5*u**4\/4 - 7*u + 46. What is the first derivative of q(o) wrt o?\nAnswer: 20*o**3 + 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 7:28 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 58*v - 595. Let p be s(-9). Solve p*n + 16 = 24*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -15 - 1. Suppose -10 = x + 2*y, 8 = x - j*y - 2. Solve 2*b + 12 = -2*l, 5*l = 3*b - x + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l**4 - 7*l**4 - 4*l**4 - 6*l**3)*(-12 + 12 - 3*l).\nAnswer: -15*l**5 + 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -531a - 32?\nAnswer: -534c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7614b (base 14) in base 9?\nAnswer: 474736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 592920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 114987457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = -14. Let f be (-21)\/9 - p\/12. Let i = 1 + f. Solve 3*h - 3 - 3 = i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 - v - 2. Let k be ((0\/(-3))\/(-5))\/2. Let w be s(k). Is 1439*(w + (-6)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 652, 2599, 5844, 10387, 16228?\n\"Answer: 649*w**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1095*w**5 + 3*w**4 + 2375*w**3 - 268955*w**2 + 12*w - 2 wrt w?\nAnswer: -65700*w**2 + 72*w + 14250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154722.96 months to years.\nAnswer: 12893.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209572, -209578, -209580, -209572, -209548, -209502, -209428, -209320?\n\"Answer: w**3 - 4*w**2 - w - 209568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(704) - (-1 + sqrt(11) + -1*sqrt(11))))**2 + (sqrt(77) - (sqrt(77) - sqrt(77)*3)*-2)\/(sqrt(42)\/(-2*sqrt(6) + sqrt(6))).\nAnswer: -573*sqrt(11) + 25380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 329099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -30329170.54 to the nearest 1000.\nAnswer: -30329000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 0.3169080564?\nAnswer: -0.4169080564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2685, -15546, -50445, -118398, -230421, -397530?\n\"Answer: -1836*y**3 - 3*y**2 - 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.95 - 30. Let j = -23.95 + 23. Let w = v + j. What is the third biggest value in 1\/5, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55.99999977 + 56. What is s rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394233 is divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*i - 6*i - 13*i + (2*i + 2 - 2)*(2 + 1 - 1) + 2*i + 0*i - i as k + s*i and give s.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 158032, 157982, 157938, 157900, 157868, 157842, 157822?\n\"Answer: 3*l**2 - 59*l + 158088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*(0 - 8). Let t(s) = s**3 + 5*s**2 + 6*s + 4. Let w be t(q). Suppose 8 = 4*j - 6*j, 0 = -o + 2*j + 10. Put o, 1, w in decreasing order.\nAnswer: o, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, -0.3, 0.2, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 divided by 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(0 + sqrt(13)*4 + sqrt(13) + 0 + sqrt(13) + 4).\nAnswer: -36*sqrt(13) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5106)\/1221 - (-2 - (-20)\/11))\/(-2). Sort 0, 37, 1, n.\nAnswer: 0, 1, n, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u - 50*u + 21784 = -498*u for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67a75 - 42?\nAnswer: 67a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - 8*a. Are a and -1\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -101808*g. Let y(r) = 2*r. Determine y(x(p)).\nAnswer: -203616*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14337401 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*m - 1 + 255*m**2 + 10*m + 529*m - 258*m**2 to u*m + f*m**2 + l and give u.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - 11*u**2 - 77*u - 205. What is z(-5)?\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*k = -84*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2)*(-151 - -149). Suppose 4 = 5*y - y. Let t be (1 - 0)\/(y\/(-5)). Which is greater: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419.627ml to litres.\nAnswer: 0.419627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 12. Let n = m - 15. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-282)\/(-5358))\/((-10)\/38) - (-109)\/595?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6473*h + 704*h - 3602*h + 3101*h**2 + 1528*h**2 - 1002*h wrt h.\nAnswer: 9258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -2 + 3\/20*j**5 - j**3 + 0*j**2 - 1\/4*j**4 - 4*j. Let c(y) be the first derivative of m(y). Let c(a) = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:11 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 4, 0 in increasing order.\nAnswer: -9, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by 4814.\nAnswer: -110\/2407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/11 and -47\/3322.\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.933*-11.\nAnswer: 10.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(352)*1)\/sqrt(8).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + 3\/2. Let d be -2 + n + -1 + 1. Let s = -157\/5 - -31. Which is the closest to d? (a) -1\/5 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -186*l - 97. Is x(-13) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*m - 86*m - 3*w - 104711 = 0, 2*m = w + 104705. What is the ten thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22392*u**3 - 7*u - 22611*u**3 - 1 - 2*u**2 + 5*u in the form y*u + z*u**3 + v*u**2 + q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 85590 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 12*m - 13. Let o be b(-13). Does o = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b38 (base 16) to base 3.\nAnswer: -1101122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 268 + -278 - (-5 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7082 is divided by 719?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 204*a - 1. Let i = -6 + 7. Is w(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -85984.1517 and -55?\nAnswer: 85929.1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -101*x**2 + 7*x - 51. Let f(v) = 200*v**2 - 13*v + 104. Let m(b) = 7*d(b) + 4*f(b). Find the second derivative of m(l) wrt l.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 19, a: 1}. What is prob of picking 4 n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1958*k + 2272. Let a be m(-9). Calculate the greatest common divisor of 42 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -29.9951. What is n rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = -139*j - 553 + 103 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/24 and -151\/186?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 104\/(-32) - (-1 + -2). Which is greater: p or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a. Let y = -47 + 46. Is a < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 78\/(-18))*795\/(-1). Suppose -266*d + 784 = -c*d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 1 h when three letters picked without replacement from {c: 1, d: 2, m: 3, f: 3, q: 1, h: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*(4\/(-32))\/(6\/((-1584)\/21))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/15, 96, -1\/19, -1\/9, 3, 28\/9?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 7) to base 3.\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 397864 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2 + 2580423972*k + 554882322939354732 = 0.\nAnswer: -430070662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 104\/26775 and -113\/626220.\nAnswer: 53228700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -86650902 divided by -39351\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, r: 15}. Give prob of picking 3 r.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p, -18*d + 13*d - p + 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from prearre?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10703, -42912, -96607, -171782, -268431, -386548?\n\"Answer: p**3 - 10749*p**2 + 31*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 3601500.\nAnswer: 3601500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 71*u - 42. Let h be d(17). Solve -4*x + x + h = 4*y, 0 = -3*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2\/2 - 61379115*f + 122758227\/2 = 0.\nAnswer: 1, 40919409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - -1*sqrt(504))\/sqrt(8) + sqrt(63))\/(sqrt(36)\/sqrt(4)*-6).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6820419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 3*v + 2. Suppose 6 = -2*p - 0*p. Let o(t) = t**3 + 5*t**2 + 5*t + 2. Let x be o(p). Calculate r(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65931063 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -280?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 1 = -2*h - 5, 4*h = -q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k. Let f(z) = 8*z. Let t(c) = 2*f(c) - 5*w(c). Let n(b) = -10*b**2 - 15*b**2 - 4*b**2 - 34*b**2. Give n(t(m)).\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 - 4*p - 3. Let b(k) = 3*k**2 + 3*k + 2. Let t = -19 - -31. Suppose 4 + t = 2*s. Let l(z) = s*b(z) + 5*q(z). What is l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 26363392768\nAnswer: -26363392767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 15 = -3*y, 5*v = 62*y - 67*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3283080 is divided by 1036?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-2 + 2)) + 5 + -16 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/3 (b) -107 (c) 2\/3 (d) -33 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 c when four letters picked without replacement from jccccjccccccc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-6)*s*s**(2\/9)*(s**(4\/3)*s*s)\/(s*s**(-4\/7)*s*s*s*s) assuming s is positive.\nAnswer: s**(-307\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 0.12 (c) -2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -248894\/3185?\nAnswer: -248894\/3185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 17 (c) -1\/8 (d) 33 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 58, 74, 74, 52, 2?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 20, 27, 34?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -1b?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 9. Let i = m + 6. Sort 0, i, 2 in increasing order.\nAnswer: 0, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3916 = 2*v - 2*a, 2*v - 4*a = 3916. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583450?\nAnswer: 2, 5, 11, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-1)\/sqrt(8))\/(sqrt(28)*2) - ((sqrt(216) - (sqrt(216) - (sqrt(216) - 2*sqrt(216))))\/(sqrt(8) + sqrt(8)*2*3 + sqrt(8)))**2.\nAnswer: -sqrt(3)\/4 - 27\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 70064905?\nAnswer: -2\/70064905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64747838?\nAnswer: 2, 163, 198613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 9*t**2\/2 - 29*t + 25. Is 12 a factor of a(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**2 - 12*u**2 - 13*u**2 + 35*u**2.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:42 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45324, -362976, -1225286, -2904582, -5673192?\n\"Answer: -45388*y**3 - y**2 + 67*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*z - 27*z = 29*z + 180 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 0.264\nAnswer: 0.01056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 63*w**2 - 153*w - 7. What is the hundreds digit of u(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 6. Let a be (1\/(-1))\/(1\/6). Let o be w(a). Suppose -y = 4*d - 17, -5*y = -3*d - 22 + o. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 8. Let b(o) = -o**3 - 2*o**2 + 4*o - 1. Let p be b(-3). Let f be h(p). Suppose 4*n = -f*n. Solve g + 3*g + 16 = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 2135, 5600, 10441, 16664, 24275?\nAnswer: 33280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 3*l**2 - 3*l - 3. Let h be 1 - 4\/(-2 + -5 + 5). Let c(o) = -3*o**3 - 2*o**2 + 2*o + 2. Give h*c(g) + 2*s(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276530, 276531, 276532, 276533, 276534, 276535?\nAnswer: 276536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:32 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -4, -2\/7, -1.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 4. Let f(b) = -3*b**2 - 4*b + 1. Let o be f(-3). Let j = o + 35. Suppose -j + 5 = 4*z. What is r(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805364 is divided by 2065?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 2:16 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 330*v - 2144. Calculate i(-73).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -260*b - 82*b + 344394. Solve -11*k = b - 996 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 9:13 PM?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus 2877?\nAnswer: -2877.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = -18*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 3. Let q be 6\/(36\/(-8) - -3). Let s = 20 + q. Let p(m) = 6*m + 10 + 3*m + m. Calculate s*w(h) - 5*p(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*f = -65, p + 2*p = -f + 31. Calculate the greatest common factor of 121 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 3\/61 (b) 0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-3 + 2) - -71. Suppose -i + v = -35. Suppose -135 = -4*r + i. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2\/21, 3\/5, -86, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 3*j**3 + 0*j**3)*(-1 + 1 - 1) + (-2*j + 5*j - 2*j)*(-277*j**2 - 2176*j + 2176*j).\nAnswer: -278*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0317 + 0.1683. Suppose -v + 3 - 2 = -n, -2*n + 2 = -4*v. Let l be ((-19)\/(-10) + v)*6. Which is the third smallest value? (a) l (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000000000001001 - -100?\nAnswer: -100000000000000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 4*t + 23. Let l be c(-7). Solve l*y + y = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 12 + -7 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 3 + 4903\/(-11770). Let w = j + 4\/535. Find the common denominator of 71\/14 and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/2 + 2*i**2 - 6*i. Let a(k) = -4*k + 5. Calculate -4*a(v) + 5*w(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 3*t - 1642. Let g(d) = -d**2 - 4*d - 1642. Let u(f) = -7*g(f) + 6*o(f). Is u(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -20, 3*w - 6 + 27 = -3*o. Let j(x) = -x - 4. Let t(q) = -q - 3. Let z(u) = o*j(u) + 4*t(u). Let n(a) = -6*a**2. Determine z(n(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1817, -14938, -50261, -118886, -231913, -400442?\nAnswer: -635573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12981, -26742, -40503?\n\"Answer: -13761*z + 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 8. Let a be l(8). Let r be a - 2 - (861 + -13). Round r to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 3*a - 3*a)*(2*a - 2*a - 2*a**3) - a**5 + a**5 + a**5 + 2*a**5 - 3*a + 3*a.\nAnswer: 11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + -7. Let q be (-6)\/(-39) - ((-148)\/26)\/2. Suppose 0 = x + q*x - 5*k + 104, 5*x + 2*k + 97 = 0. Is x != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.222 (b) -45 (c) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129168979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - -1014?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from cssssgpssspgss?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4959 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 12*p + 2. Let t be r(-10). Let k = t + -14. Solve 20 = 2*f + 4*m, -4*m + k = -5*f + f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 14*w**2 + 100*w - 243. What is k(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -47*r + 191. Let m be u(4). Suppose m*f + 5 = 4*f, -h + 1240 = f. List the prime factors of h.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -301*b**3 - 4*b**2 - 4*b + 1. Let r(x) = 602*x**3 + 9*x**2 + 9*x - 2. Calculate 9*m(s) + 4*r(s).\nAnswer: -301*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5039?\nAnswer: 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 8 + -5 + -39 + 44\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 4636*s + 12276*s.\nAnswer: 7640*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 157777*l - 7. Let y be h(-9). What is y rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 7:09 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 278668068 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8836, -8859, -8898, -8953, -9024?\nAnswer: -9111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4\/161, 0.2, 0, 5\/4?\nAnswer: -4\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16 = -3*g, -2*k + 5*g = 0. Calculate the remainder when (-5)\/(-25) + 318\/k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a - -19841a5?\nAnswer: 1984176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5435 - -4?\nAnswer: 5439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19061247.\nAnswer: 3, 463, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2675487*w**2 + 669926.\nAnswer: 5350974*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109538 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 7*s**2 - s + 9. Give t(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2\/2 + 1120089*i\/2 - 7840917 = 0.\nAnswer: -373377, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 134, 11, -350, -943, -1762, -2801, -4054?\n\"Answer: y**3 - 125*y**2 + 245*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 12. What is t(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {u: 2, n: 1, a: 2, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 48*h - 1429. Let p be v(21). Solve -2*b + 17*c = p*c, -5*c - 10 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g + 2. Let u(o) = 3*o + 3 - o - 2*o**2 + 0*o. Suppose 1 - 26 = -5*a. Give a*t(s) - 3*u(s).\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.18 (c) 1\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 404273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqscsescnessjq. Give prob of sequence seqs.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/20)*v*v**48)**(1\/13))**(20\/3))**(-50) assuming v is positive.\nAnswer: v**(-48950\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 + 3. Let z = 0.3 - 0.4. Let o = z + w. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 - -3 - (774 + -680)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.2026.\nAnswer: 1.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*l - 16 + 6, -l - 5*r = -2. Suppose 0 = p + l + 3, -5*f + 40 = -4*p. Solve -3*k + 2*k + f = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 5 = -x. Let q = x + 25. Suppose 0 = -5*g + 5 - 0. Is g less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-726)\/(-6050))\/(27\/(-15))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 15 = 5*h - 2*j, 4*j = -3*h - 12. Let d be (0\/(-3))\/(-1) + 4. Suppose h = -d*m + w + 73, 3*m = 4*w + 6 + 39. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2529*t - 5137*t + 2604*t + 2014*t**2 in the form c*t**2 + q + l*t and give c.\nAnswer: 2014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1 - s - 6*s**2 + s. Suppose 0 = -2*i - 3*u - 17, 2*i + 22 = -4*u - 0. Determine q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(3) - (sqrt(27))**2)*-1.\nAnswer: -sqrt(3) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-21)\/(z**13*z))**48 assuming z is positive.\nAnswer: z**(-1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16176, -64710, -145600, -258846, -404448, -582406?\n\"Answer: -16178*c**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 19 = i, 4 = 5*i + c - 6. Let s(j) = 149*j**2 - 3*j + 2. Let l be s(i). Suppose 4*d - l - 712 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2007071 - -0.3?\nAnswer: 0.0992929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5658 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -15925918906?\nAnswer: 15925918909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-14)\/21*(-15)\/(-50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 3:19 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 431? (a) -3 (b) -2\/15 (c) 0.4 (d) -4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -73*t**2 - 1022*t + 3. Calculate l(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 - 5 = -5*y, d + 3*y = 12. Suppose 2*j = -3*j - 4*h - 75, -5*j - 80 = 3*h. Is (-1 + -2 + d)*(j + -2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8882, -8401, -7922, -7445, -6970, -6497, -6026?\nAnswer: -5557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/12*((-42)\/35 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -51, -113, -189, -273, -359, -441, -513?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 375833701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 + 2 + (6 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192036 and 3334?\nAnswer: 320124012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 110000111000?\nAnswer: -110000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*j**2*m**3 + j*m**3 - 129*m**3 wrt j.\nAnswer: -134*j*m**3 + m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*h = 0, 0 = o + 2*o + 3*h. Solve -3*x + o = -9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/146265 and 64\/229845.\nAnswer: 1608915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 5\/8, -7, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(171) - (-1*sqrt(171) + sqrt(171)))*-3)**2*1 + 0.\nAnswer: 36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 2*r + 2. What is the smallest common multiple of p(0) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:16 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1757668 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7455 + -3383. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154570.\nAnswer: 2, 5, 13, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {p: 2, u: 2, t: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4320957 and 61473.\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Suppose -5 = 2*w - 4*w + j, j = -5*w + 16. Let k(b) be the third derivative of 0*b**w + 1\/60*b**5 + 0*b**4 - 7*b**2 + 0*b + 0. What is k(r(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6230 and 11\/526880.\nAnswer: 3688160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5\/5 - 641*r**4\/5 - 31803*r**3\/5 - 61687*r**2\/5 - 30524*r\/5 = 0.\nAnswer: -587, -52, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/9*5*18\/30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2453 and 781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -16. Let v = -5 - t. What is the closest to v in -1\/5, -3, -2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186563791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 7:21 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 50*y = 48. Solve -3*t = -m - 2*m + 21, y*m + 6 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7652*u = 7485*u + 3340 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-5)*-1*790\/(-158).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 105 = -17*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. Let o(f) = -5*f + 1. Determine o(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -414 + 453. Let m = v - 43. What is the closest to -2 in 0.2, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20*(418\/(-440) - 1\/4). Solve -3*g - d + 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:56 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.479066 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 f, and 2 j when four letters picked without replacement from jzfjj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -0*s - 432. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 at most -90279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/7 - 16854*t\/7 - 134640\/7.\nAnswer: -3*(t + 8)*(t + 5610)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-18)*(-1386)\/48 and 25\/(-60)*(-114)\/(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-135) + (-59)\/(-5). Suppose v*u - 783 = 357. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {o: 7, l: 1, i: 1, c: 1, t: 2, q: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20210102 - -20?\nAnswer: 20210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -460 - 15126?\nAnswer: -15586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + (1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -133331201 (base 4) in base 14?\nAnswer: -359cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13892 - -13896. Solve -p + 7 = 4*f + 24, 0 = -n*f + 4*p - 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2575\/16202?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i**2*x*y**2 - 129*i**2*x*y + i*x*y - 2*i*y**2 - 3*x*y**2 + 328 wrt i?\nAnswer: -20*x*y**2 - 258*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -155*g**3 - 381*g**2 - 133*g + 15. Give z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8889994*b - 2. Let t(w) = -2*w. What is c(t(u))?\nAnswer: -17779988*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 115310 + (-63)\/9. Suppose 4*w - 5*t = q - 6277, 3 = -t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 10 = 4*o + 3*y, 0 = -4*o - y + 6. Let d(r) = 2 + 2*r**2 - 2*r**3 + 8 - 1 + r**3 + o*r**2. Determine d(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54559339.\nAnswer: 47, 1160837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 61943.\nAnswer: 867202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086462311?\nAnswer: 3, 695487437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10018537\/4 or -2504633?\nAnswer: -2504633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u. Let c(t) = -6*t - 4. Let k(v) = c(v) - 5*w(v). Let a be k(-6). Suppose 42 = 2*g + 3*d - d, -5*g + a*d + 112 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 382577902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*g**5*z**3 + g**2*z**3 + 5*g*z**3 - 7*g wrt g?\nAnswer: 940*g**3*z**3 + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*b**5\/3 - 66008*b**4\/3 + 487528*b**3\/3 - 540016*b**2\/3 - 39540*b + 79032 = 0. What is b?\nAnswer: -3\/5, 1, 6, 3293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, d: 3, m: 1, j: 4, x: 2}. Give prob of picking 2 f and 1 d.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, v: 2, w: 1, r: 1, o: 2}. Give prob of sequence rww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Let r = -4 + i. Suppose r*d - 2*d = -6. Solve -z - b = -3, d*b - 15 = -z - 2*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -955\/4 + 239. Suppose m - 4*z = 2*m + 16, 0 = -2*m - 3*z - 12. Which is the second biggest value? (a) 0.5 (b) m (c) f (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 14139552\nAnswer: 1\/883722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24774086873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 5:43 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2540 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47aab + -96?\nAnswer: 47a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14994*o**6 - o**2 + 124823 wrt o.\nAnswer: 1799280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (69\/(-24) + 3)*2. Let h = 158\/3 + -1255\/24. Factor -h*s**4 + a*s + 3\/8*s**2 + 0 - 1\/4*s**3.\nAnswer: -s*(s - 1)*(s + 1)*(3*s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 + 40 = 4*t. Let z = t - 41. Let u(k) = 0*k**2 + z*k**2 - 19*k**2 + 6*k**2. Let c(o) = -2*o**2. Determine u(c(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/3 + 35*y**2\/2 - 96*y - 95. Factor l(j).\nAnswer: -(j - 32)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.106 - 0.1. Let v = q + -0.006127. What is v rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 28*i**2 - 32*i - 50. Let w = 166 + -56. Calculate the remainder when w is divided by l(-13).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 366*a. Let x(z) = -76*z - 25. Calculate x(f(o)).\nAnswer: -27816*o - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*d**2*n*v - 26*d**2*n - 51*d**2*v - 4*d*n*v - 684 wrt n.\nAnswer: 6*d**2*v - 26*d**2 - 4*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -5 + -11 + -5 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*w + 36 = -135*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 342149 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8*y**2 - 1. Suppose -12 = -6*s + 6. Suppose -2 = 5*q + s. What is m(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 15*r**2 - 9*r - 5*r**2 + 9*r - 8*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:07 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -60\/109 (c) 4\/497 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 10:32 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.78*18\nAnswer: -14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305 and 1140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a - 134. Suppose -2*t - j = -339, 38 + 1171 = 7*t - j. What is the highest common factor of a and t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75.6 - 75. Let f = 3.6 - l. Let b = 8\/9 + -47\/63. What is the second biggest value in b, 0, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 3 + (-237)\/33. Let o = 18 + -19. Which is the biggest value? (a) o (b) 2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33231 + -33229. Suppose 5*x + 170 = 5*w, 5*w + 5*x = 90 + 80. Calculate the remainder when w is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(10 + 3 + -12). Which is the fourth smallest value? (a) q (b) 4 (c) -1.8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5289985 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**7\/((m**(-21)*m)\/m) assuming m is positive.\nAnswer: m**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d - 106. Let h be c(12). Sort 4, h, -4, -2 in increasing order.\nAnswer: -4, -2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**4 + 14*p**3 - 12*p**2 + 6*p + 10. Let x(q) = q**4 - q**3 + q**2 - q - 1. Let d(s) = w(s) + 10*x(s). Let d(l) = 0. Calculate l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 13 + 7*a + 3*a + 30 - 22 + 6*a + (-3 + 3 - 2*a)*(-1 - 1 + 0) - 2 + a + 2.\nAnswer: 21*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v = -31*v + 12*o + 14, -3*o = -5*v + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/12*g**4 + 3*g + 0*g**2 + 0*g**3 + 0. Let j(d) be the third derivative of -d**4\/3 + 5126*d**2. Determine j(f(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/3 - 2*u**3 + 4*u**2 + 14*u. Factor y(b).\nAnswer: 4*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6376751 - -27?\nAnswer: 6376778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 5*n**4 + 3*n**2 - 2*n + 12*n**4 - 8*n**4 to the form j + z*n + q*n**3 + b*n**4 + c*n**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15560)\/(-6*(-1)\/(-15)). What is g rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11 - 4*f**3 + 3*f**3 - 15*f + 10*f**2 + 6*f - 1. Is k(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2492 + 3026 - 5937)*(2*z**2 - z**3 - 2*z**2)*(-8 + 10 - 3*z + 7*z).\nAnswer: 1676*z**4 + 838*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0866098 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 530415583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -40*h**2. Let d(m) = -158*m**3 + 5*m**2 - 2. Let a be d(-1). Let s(i) = 51*i + 60*i + 56*i - a*i. Determine t(s(u)).\nAnswer: -1440*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56187.68 rounded to the nearest 100?\nAnswer: 56200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 6*b**7\/175 - 2*b**6\/15 - 23*b**5\/75 + b**4\/5 - b**2 + 46. Solve m(p) = 0.\nAnswer: -1, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31716, -63931, -96146, -128361, -160576, -192791?\nAnswer: -225006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -433\/28 + 63\/4. Let k = 1.7431 + 0.2569. Sort -5, m, k, -6 in ascending order.\nAnswer: -6, -5, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0224424 and -0.0436.\nAnswer: 0.00097848864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 328560 divided by -164280\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30786 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Let o(y) = -y**2 + 2*y + 7. Let d be o(h). Suppose 55 + 5 = -10*a. Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/30)\/(((-16)\/(-18))\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -462.663 + 463. Let m = f + 37.963. Round m to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -54*y**2 + 715*y - 4879. Give f(7).\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - sqrt(68)*-1)**2 + -4 + sqrt(153).\nAnswer: 3*sqrt(17) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2770.875 kilograms in micrograms?\nAnswer: 2770875000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -13*u - 36. Let j be r(-3). Solve 0 = -4*s + 4*o + 28, -j*s + 0 + 9 = 3*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u**2. Let l(c) = 65029*c**2. Determine n(l(k)).\nAnswer: -38058937569*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61534 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 10:50 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6961063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 590315 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/2 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69483248.\nAnswer: 2, 113, 38431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 6*d**2 - 7*d + 10. Let j(p) = -p + 15. Let c be j(8). What is the tens digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235920.976 less than -0.1?\nAnswer: 235920.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 2110?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -5\/2 (b) -2\/5 (c) 2\/11 (d) -8 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 31*q + 21*q - 64*q. Let y(p) be the first derivative of 0*p**2 - 1\/3*p**3 + 0*p + 1. Calculate i(y(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 - 23*u**2 + 23*u**2 - 8*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1026 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*q - 916 = 0, 0 = -6*v + 5*v - q + 921. Let z = 89 + v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1.4 (c) -2 (d) -3 (e) 0.4 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:40 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(1 - (-302)\/(-298)). What is z rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185 - -210. What is the second derivative of 23*h - 29*h + 65*h - r*h**4 wrt h?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*r + 4, 5*r - 9*n = -12*n - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-3572)\/(-4465))\/(4\/(-122))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72.51 and 1?\nAnswer: 73.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, f: 1, l: 2, n: 1, e: 1}. What is prob of sequence yeny?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25836 is divided by 6352?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996*b - 986*b = -30. Put -1, b, -26, 5, 0 in increasing order.\nAnswer: -26, b, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -25d (base 16) to base 13.\nAnswer: -377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 392. Let w be l(-21). Let h = w + 370. Which is the smallest value? (a) 2 (b) -0.01 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/((-792)\/32))\/(2\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -502, -498, -472, -430, -378?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6730164 and 2380.\nAnswer: 33650820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 divided by 12?\nAnswer: 143\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 326814\/89 (b) 3\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516117034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -174 in decreasing order.\nAnswer: 3, -5, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffaf when four letters picked without replacement from afaaffbffaa.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/76 and -14\/2489.\nAnswer: 9956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1 + 493*x**3 - 2*x - 998*x**3 + 496*x**3 - x**2. Suppose 6 = 3*q - 9, -3*b + 2*q - 16 = 0. Let z be 2\/((0 + 1)*b). Calculate o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {q: 8, g: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 4. Let r be n\/(-4)*(-36)\/54. Suppose g = -g + 6. What is the biggest value in -0.1, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, o: 1, s: 1, z: 2, b: 5}. Give prob of sequence oz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from dcciuyniuycy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 294292 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 94.50901um?\nAnswer: 0.09450901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 - 346. Suppose -w*o - 2*o + 3*b + 189 = 0, 5*b - 5 = 0. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*u = -188, s + 4*s = u - 978. Is 1\/2 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (48\/9)\/(2\/3) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 635\/(-508) - (-23)\/28.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 432415391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -45. Let y = -9 + 11.1. Let p = y - 2. Sort -1\/3, p, f in increasing order.\nAnswer: -1\/3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 18, 130*p + 129 = 5*c + 131*p. Calculate the remainder when 77 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -65, -94, -123?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 2*g - 78 = 0, -2*q - 2*g - 288 = -0*q + q - 306 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 + (-75)\/(-27). Suppose l*i - 8*i - 4*m = 146, m = -4. Let t = i + 45. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1538*f**3 - 233 + 221*f**3 + 388*f**3 - 209 - 1133*f**3 wrt f?\nAnswer: -6186*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888767*c - 12 + 15 - 3 + 888756*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39628 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 157*q**2 - 55*q + 4836. What is v(157)?\nAnswer: -3799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -20*m**3 + 149*m**2 - 11*m + 7. Calculate v(6).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*d - 7*m + 3*m, -3*d = -4*m + 17. Let k be -1 + (2 - d) - 0. Factor 1\/2*u**4 + k*u + 0*u**3 + 0 + 0*u**2.\nAnswer: u**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.003 + 0.036. Let h = -5.939 + u. Round h to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-11)*u*u*u**5*(((u*u**4*u)\/u*u)\/u)\/(u*u**(-4)) assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 36 = q, -4*q - 18*t = -14*t - 96. Solve 0 = q*o - 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**6\/24 + 3*l**5\/10 + l**4\/16 - 2*l**3 + 2*l**2 - 218. Factor f(o).\nAnswer: o*(o - 1)**2*(o + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76741615 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 3. Let s(v) = v**3 - 2. What is -2*o(g) - 3*s(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1246 or -1247?\nAnswer: -1247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -20*h + 17*h. Let 6\/5*a**4 - 6\/5*a**2 + 0 + 2\/5*a - 2\/5*a**h = 0. Calculate a.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -57 and -113 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/3)*z**(17\/5) assuming z is positive.\nAnswer: z**(71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n, -2*v + 3*n + 6 = v. Let a(o) = o**2 - o - 3. Let s be a(v). Factor 2*k + 4\/7 - 4\/7*k**2 - 2*k**s.\nAnswer: -2*(k - 1)*(k + 1)*(7*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 6:01 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 233950 and 175?\nAnswer: 1637650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*i - 7, -3*i + 8*i = -10. Let d(w) = -w**3 + 3*w**2 + 4*w. Let z be d(3). Let t = z + y. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 2\/7 (c) -1834.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -36.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(-3\/4)*f)\/f))\/(f*f**(-3))*(((f\/(f**(-1\/5)*f)*f)\/f)\/f*f)\/(f*f**5))\/(f**(-1\/5)\/(f*f*f\/(f*f\/(f\/(f*f**7*f)))))**(2\/41) assuming f is positive.\nAnswer: f**(-1953\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2296)\/32 - (-1)\/(-4). Let f be 4\/(-18) - 34\/n. Suppose -5*s - 2*p + 16 = 0, p - 6*p = -15. Which is the second biggest value? (a) f (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23 and 27\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 6*y**2 + 54*y - 125. Calculate m(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -2506146?\nAnswer: -2506152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -40, -48, -56, -64?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - sqrt(121)*-1*4)\/((sqrt(1331) - sqrt(1331)*2) + sqrt(11)) - ((sqrt(396) + 1 + -2*sqrt(396) + sqrt(396) + -2)**2 + -3).\nAnswer: -sqrt(11)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (12 + 0)) + (494 - 488)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 0*s + 996. Suppose r = 142 + s. Suppose -392 = -5*h + r. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v + 195*v + 127 + 953 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 7. Calculate the remainder when y(9) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 8. Let h be 6\/(-15) - (-54)\/10. Let f = -23 + 48. Solve s = -h*j - l + 25, -2*l = 5*j + 2*l - f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011111111000 + 1?\nAnswer: -10011111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {k: 1, b: 5, t: 1, o: 4, i: 1, m: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187780, -187748, -187716, -187684?\nAnswer: -187652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 96*y**2 + 5*y + 478. Let n be f(-96). Put n, 5, -4, 339 in decreasing order.\nAnswer: 339, 5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280475219.\nAnswer: 41, 751, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208823021.\nAnswer: 11, 47, 53, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169330*g**5 + 59929*g**2 wrt g.\nAnswer: -10159800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.243048 days to hours.\nAnswer: 5.833152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2 = -2*p, -87*d - 4 = -92*d - 3*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -8.724.\nAnswer: 2.6172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -81 (c) -1\/3 (d) -6 (e) 53319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Let j(a) = -3*a**2 + 4*a**2 - h*a**2. Let y(o) = -5 + 5 - 3*o. What is j(y(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5 - 0)\/(16\/(-34)) and 109\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -1)\/((-12)\/8). Suppose b + 5*q = 15, -4*b + 18 = -j*q + 2. Suppose 6*k = b*k + 11. Calculate the lowest common multiple of k and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((8 + -13)\/(-25))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**2 - 2*r - 2. Calculate f(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**6\/24 - r**5\/12 + 5*r**4\/12 - 59*r**2 - 95. Let t(z) be the second derivative of j(z). Find h, given that t(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16431647*o*v**5 + 3*o*v**4 + 4*o*v**2 - 46*o*v + 9*o + 17*v**2 + v - 22 wrt v.\nAnswer: -985898820*o*v**2 + 72*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22486 divided by 216\nAnswer: -11243\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 744*f - 740.\nAnswer: -4*(f - 185)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 1, -35744 in decreasing order.\nAnswer: 41, 1, -35744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnrelnnnnnlnrrsnsn. What is prob of sequence rl?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6606876610?\nAnswer: 2, 5, 97, 6811213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 429 (b) -3 (c) 28\/3 (d) 0.2 (e) -21 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -1\/6, 4, -271\/5, -0.2 in decreasing order.\nAnswer: 4, -1\/6, -0.2, -5\/6, -271\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/8)\/((-1)\/4). Let i be 36\/(-24) - 11\/(-2). Suppose i*b = -0*b + 28. Solve 0 = d*h - 8*h + 2*v - b, 3*v - 1 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5954293407 from 1.8.\nAnswer: 5954293408.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z = 60*z - 3492. Suppose b = -4*b + 5*c + 105, 4*b - 87 = 3*c. Calculate the least common multiple of b and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 49 - 5. Calculate the remainder when 107 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 8 + -35 - (20 - (-1 - -1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n + 23. Determine w(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-2 + -3) - -4 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 394 - -273. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2139 divided by -122112?\nAnswer: 713\/40704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-161)\/(-21) - (-8)\/12) + 4\/6. Let s(b) = -9*b + 86. What is s(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.4 (c) 29 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 608605*g*o**3 + 3*g*o**2*p**3 + 2*g*o**2*p - 42*g*o + 3*g + 907*o*p**3 wrt o?\nAnswer: 3651630*g*o + 6*g*p**3 + 4*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11564641 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 - -58.5. Let r = j + 62.5. Let b = -70.1 + r. What is the nearest to b in -2, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**2 + 7*s + 4. Let f be d(-4). Let m = f + -49. Calculate the greatest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 28 (c) -5 (d) 1\/5 (e) -0.0372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0*y**4 + 0*y + 0 - 1\/30*y**5 - 11*y**2 + 0*y**3. Let o(f) = -14*f. Give o(m(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 9*n**2 - n - 8. Let j be q(-9). Let d = 19 + j. Suppose -2*o + 0*o = -d. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02082023 rounded to 5 dps?\nAnswer: -0.02082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + u)*(1 - 2 + 2) - 1 + 2*u + 1 + (0 - 1 + 0)*(-6*u + u + 3*u) - 1 - 2*u - 2*u + u + 210*u - 642*u + 274*u in the form p + z*u and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 4*b = 428. Suppose -3 = -3*k, k + b = 4*f - 0*f. Suppose -162 = -3*u + f. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 4. Let r be c(-2). Suppose 0 = -7*x + r*x - 87. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51460 or 16\/3?\nAnswer: -51460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21*(-3)\/(3 + 0). Let m be (0 - -1) + 28\/l. Let a(z) = -z + 4. Let f be a(4). Are f and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 19*s + 4. Let k(n) = -n**3 - 5*n**2 - 2*n + 5. Let b be k(-5). What is the units digit of j(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20022 (base 3) to base 11\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -106, -177, -268, -385, -534, -721?\n\"Answer: -h**3 - h**2 - 47*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-164)\/(-4) + 0\/(-1). Let c = 66 - t. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*r**2 + 12*r**2 - 41*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629920 = -6*s - 136378. Let f = s - 14257. What is f rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**3 - 337*u**2 - 3237*u wrt u?\nAnswer: 24*u - 674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/1 + 13 + -11. Suppose 0 = -3*c - d + 9, -5*c + 10*c - 15 = -2*d. Let w = c + t. Calculate the least common multiple of w and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let u be (1 - 0) + -23 + -2. Let z be u\/(-11) + 2\/(-11). Let d(t) = t**z + 11*t - 11*t. What is d(c(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32667, -32659, -32651, -32643, -32635?\n\"Answer: 8*k - 32675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -365.1, 1\/6.\nAnswer: -365.1, -2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11854950 and -42490.\nAnswer: 11812460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1048*v**4 - v**2 + 25*v + 260167?\nAnswer: 4192*v**3 - 2*v + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 - 108*w - 66*w + 8*w**2 + 318*w - 79*w - 65*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271789 is divided by 638.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 101.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*n**2 + 3*n - 14*n**2 - 54*n**2.\nAnswer: -154*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43686705 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m**3 - 11*m**2 + 301*m - 289. Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1632.093 decades?\nAnswer: 195851.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 26*c**2 - 79*c - 54. What is the remainder when d(-23) is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Suppose -6 = c*z, 2*o + 7 + 0 = -z. Is o less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9831536 to the nearest integer?\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(11) + sqrt(11)*2*1) + 5.\nAnswer: sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.14, -253, 5, -3, 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11696 divided by 675.\nAnswer: 11696\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -378738, -1514936, -3408602, -6059736, -9468338, -13634408, -18557946?\n\"Answer: -378734*i**2 + 4*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**3 - s**2 - 5*s + 2. Let q be t(2). What is the units digit of 3590\/8 - (q\/(-16) + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 380*f**2. Let u(y) = 122*y**2 - y + 126*y**2 - 246*y**2 + y. Calculate r(u(x)).\nAnswer: 1520*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820692195 to the power of 1\/4, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 657323*m + 3943947\/2.\nAnswer: -(m - 1314649)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/20 + -5 - (-16)\/4. Let a(x) = -x**2 - 13*x - 6. Let o be a(-14). Is d bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1419 smaller than -61009\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-826)\/7 + 3*(-4)\/6. What is the tens digit of (-1718)\/(-8) - f\/(-160)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 75. Let g = f + 25. Let y = 58.0058 - g. What is y rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 not equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74538 is divided by 2009.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 6*p + 8*r + 18 = 16*p, -92 = 5*r - 102 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 7\/8, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3021005293?\nAnswer: 3571, 845983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 37*c + 2. Let g(n) = -n**3 - 7*n**2 + 7*n - 4. Let t be g(-8). Let o be y(t). Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)\/(v*v**9)*(v*v**(1\/3))**(-21) assuming v is positive.\nAnswer: v**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1393*k + 3589*k + 913*k - 1487*k + (k + 5 - 5)*(2 - 3 + 0) to the form b + z*k and give z.\nAnswer: 4407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 2\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3171141974 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/51474714 or -1?\nAnswer: -5\/51474714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t - 13. Let q(h) = h - 21. Suppose -5*z = -7*z + 30. Let w be q(z). Let c be i(w). Solve -2*b = -2*m + 16, 2*m + 10 = -c*b + m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -62. Let i be ((-18)\/h)\/((-1)\/(-10)). Find the second derivative of -17*f + 23*f**4 + 0*f**i + 0*f**4 wrt f.\nAnswer: 276*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -21*s**2 + 434*s + 1123. Determine j(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*v - 29*v = 720 + 216 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3)\/(-75)*-1*(-315)\/(-252)*-1.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1050032 (base 8) to base 12\nAnswer: 1176a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/((f*f\/(f**6*f)*f)\/f)*f**(-26\/5)\/f assuming f is positive.\nAnswer: f**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/770 and 29\/11969804.\nAnswer: 59849020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 5*u**2 + 3*u - 10. Let q be k(-6). Let s = -51 - q. Find the third derivative of 292 - s*o**2 + 18*o**4 - 292 wrt o.\nAnswer: 432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15830*n + 189842. Calculate i(12).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 2221121?\nAnswer: 2221114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -54726, -4, -32, -0.5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 - -249. Sort 0.3, -6, o in descending order.\nAnswer: o, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*q + 4, -5 = -2*k + 5*q - 3. Solve 5*i = k + 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -24.98.\nAnswer: -25.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(396) + -1) + 4)**2 + -3.\nAnswer: -720*sqrt(11) + 14353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 - 4*n**2\/3 - 22*n\/3 + 8.\nAnswer: 2*(n - 4)*(n - 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -25*f + 33. Let p be l(4). Let v = p - -68. Is 1\/117 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 188\/19 + -5 - 4\/(-38). What is the closest to 0.1 in -1, v, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*g - 12, -w - 12 = -3*g - 4*w. Suppose g = -u + 6 + 1. Put 3, 2\/3, u in descending order.\nAnswer: u, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 3. Let b be u(-3). Suppose 3*j + b*j = 42. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*2491.\nAnswer: 249.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-14 + -8) - 14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*b*j**2 + 64*b + 47*j**2 + 4*j - 4 wrt j.\nAnswer: 46*b + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1828811, -1828795, -1828765, -1828715, -1828639?\n\"Answer: h**3 + h**2 + 6*h - 1828819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424 - 42593*x**2 + 424.\nAnswer: -42593*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, and 1 d when three letters picked without replacement from {k: 1, n: 1, q: 1, h: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2 + 8 = -2*p, -4*p + 2*a + 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + n**2 + 45*n**3 - 2*n**4 + 42*n**3 - 84*n**3 + 2 as f*n + g + m*n**4 + o*n**3 + a*n**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100528\/11 + 9138. Which is the biggest value? (a) 1\/5 (b) -0.08 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 - 4607362*y + 4607362*y.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 3. Let a = -2 - -4. What is the least common multiple of f(a) and -161 + 155 - 17\/(2 + -3)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2 + 29 + 0*v + 1 + 219*v. List the prime factors of g(3).\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let y(q) be the third derivative of 17*q**5\/60 - 19*q**3\/6 + 7*q**2. Let s(m) be the first derivative of y(m). Give b(s(p)).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 2*v - 6. Let g = 28 - 45. Let i = g - -13. Determine a(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000286629253 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 829016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -423.9486 rounded to 1 decimal place?\nAnswer: -423.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33063, -32972, -32881, -32790, -32699, -32608?\n\"Answer: 91*i - 33154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {f: 5, c: 3, o: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.57 or 1\/12?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 84 = -6*l. Let p = l - -4. Let i be 24\/p*(-3)\/(-2). Is i greater than or equal to 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*s + 302 = -1512 - 2134 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 13*m + 13. Let i(u) = -33*u + 6. Let b be i(-14). Let p = b - 442. Let r(w) = -w**2 + 3*w - 3. Give p*r(a) + 6*l(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 5*p**2 + 0*p + 1\/60*p**5 + 1\/24*p**4 + 0 - 4\/3*p**3. Calculate r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjggjjj?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4691.53 weeks in days?\nAnswer: 32840.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 998777973 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, -0.3, 1164, 1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13668, -69846, -163476, -294558, -463092, -669078, -912516?\n\"Answer: -18726*x**2 + 5058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-714)\/98 - ((-20121)\/9884 - 7\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1765 - (2 - 9 - -3). Let j = 3456 + d. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5489 = -2*w + 1459, 5*w = -2*k + 17368. Is 28 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(55\/60) - 2. Is 5\/n + (-514)\/(-4) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1070, -4, 8, 1 in descending order.\nAnswer: 8, 1, -1, -4, -1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-196)\/91)\/(3 - 4). Let f be 1*1\/(3\/6). Suppose 5*p - 3*o = o - 23, 2 = -f*p - 2*o. What is the third smallest value in v, -0.5, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (0 - -4) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 283308870 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*t - 28*t - 588*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjx when three letters picked without replacement from {j: 2, x: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 43*o + 155769. What is p(-417)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (-11 - -3 - (-11 + -8 + 10)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a century in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -45, 0.5, 4, -5\/4, -1\/5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/23, -492, -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 + -4. Is r at most -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 182*i + 18930. Determine k(-104).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23215 - 23274. Put 16, 1, g in decreasing order.\nAnswer: 16, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5 + 3 + b - 7 + 4. Suppose z = h - 4, 2*z - 3*z = -5*h + 4. Determine x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.239669, 43\/7, 2\/9 in descending order.\nAnswer: 43\/7, 0.239669, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11065335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 860\/1075*50\/220\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1405?\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let z(o) = -4*o**2 - 3*o - 3. Let q(h) = 3*h**2 + 2*h + 2. Let w(m) = -m**2 - m + 4. Let x be w(0). Let u(n) = x*z(n) + 6*q(n). Determine u(f(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0527 * -7058.\nAnswer: 371.9566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 17. Let j(a) = 4*a + 3*a - 7*a - 14*a**2 - 18 - x*a. Let c(q) = -5*q**2 - 2*q - 6. Let f(l) = 17*c(l) - 6*j(l). What is f(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24*3469544\nAnswer: -832690.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -4, -51, 0, -35 in decreasing order.\nAnswer: 2, 0, -4, -8, -35, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t**3 + t**2 + 4*t - 3. Let i(k) = k**2 - 10*k - 126. Let m be i(17). Is d(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3\/3 - 1825804*n**2\/3 - 33475054*n - 32866452 = 0.\nAnswer: -54, -1, 912957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -30*c. Let f(p) = 416*p**2 + 97*p**2 - 270*p**2. Calculate s(f(m)).\nAnswer: -7290*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**5\/30 + 7*s**4\/24 + 2*s**3\/3 - 9*s**2. Let r be p(-3). Let k = 9 + -6. Solve -8 - r = k*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from dlllyyyalllvy.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 13. What is the lowest common multiple of (-4)\/6*(t + -18) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13538678 divided by -4.\nAnswer: -6769339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3997405*c**2*w**2 + c*w**2 + 1461523*w**2 + 1 with respect to c.\nAnswer: 7994810*c*w**2 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3509 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 98001.232 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**2 + 2*p + 1. Let i = 24 + -22. Suppose -43 = i*c - 41. Give b(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168283184?\nAnswer: 2, 10517699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 - t - 4. What is q(-3)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 + 6. Let l(r) be the first derivative of -9*r**2\/2 - 368. What is l(y(d))?\nAnswer: -45*d**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.96 to 1 decimal place.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 + 6*p**3 - 30*p**3.\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - i**3 - 3*i**3)*(-4 + 2 + 4) + (-19 + 26 + 24)*(-2*i**2 + i**2 + 2*i**2)*(-3 + 3 + 2*i).\nAnswer: 58*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 284*v**2 - 9*v. Let z(x) = -13*x + 2. Give z(f(a)).\nAnswer: -3692*a**2 + 117*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-3295331.\nAnswer: -988599.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 77, -1\/6, -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:16 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 + -5.89. Let i = k + 8.2. Let m = i + -2.56. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 90\/150*(-13)\/(-17) and -10\/187?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssa when four letters picked without replacement from saasaasaas?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 - 464*p + 159. Let b be m(77). Suppose -54 = -q - 2*q. Solve 0 = b*r + 7 + q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (20\/(-32) - -1). Let x = -1048 - -1048.4. Which is the nearest to -3? (a) x (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3220089, 3220127, 3220165, 3220203, 3220241?\nAnswer: 3220279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 8*t**3 + 4*t**3 + 3*t - 9*t in the form f*t + v + o*t**3 + h*t**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5676013 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16*263)\/((-1)\/(-6250)). What is t rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1488392569 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/5 + 3207*w\/5 = 0. What is w?\nAnswer: 0, 3207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -15. Let d = 12.57 - 12.07. What is the nearest to 2 in h, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*y**2 + 5*c**3*y + 103*c**3 - 2*c**2*y + c**2 - 4711*c*y**2 wrt y?\nAnswer: 4*c**3 - 9422*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1201 + 1206. Let n be (1\/1 + 0)*0. Suppose n = -p*y + 6 + 74. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: cd (base 15) to base 13\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5.3. Let n = -3 - -1.7. Let v = n - h. What is the nearest to 12 in -0.5, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11 - 144\/12 - 1\/(2\/(-5986))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 3*f**4\/4 - 5*f**2\/2 + 4*f. What is the first derivative of n(r) wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 812 divided by -2\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14885062 to the nearest integer?\nAnswer: 3858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389911590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -1. Let f(s) = s**3 - 6*s**2 + 8*s + 7. What are the prime factors of f(i)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/407848 and -55\/1325506.\nAnswer: 5302024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 25, -2*y = 4*b - 6*y - 8. Let k = 26 - 24. Suppose 5*m = 5*r - 40, k*m - b*m - 25 = -2*r. Solve -2*q - r = 5*x - 5*q, -2*x - 16 = -4*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*(20 - (-2009)\/(-98))\/(6\/4). Let n = 1.2 + -0.2. What is the closest to -1\/4 in l, 0.08, n?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -5. Let s be (2 + -1 - 40)*(-12)\/18. Is f*(-1)\/(-2)*s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156171*b**4 + 94023*b**2 wrt b?\nAnswer: -3748104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 1. Let p(l) = 33 - 69 + 39 - 5*l. What is 11*k(a) + 4*p(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 - 439*j**2 + 3388*j + 8563. What is o(138)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(5103) + -5) - (-4*sqrt(5103)*-1 - (sqrt(5103) + (2 + sqrt(5103))*2)))**2.\nAnswer: -540*sqrt(7) + 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4\/9, 74, 0.4.\nAnswer: 0.4, 4\/9, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*m - 211*m - 860 = 260 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21157718 and 794?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.08 + 0.08. Let f = y - -4.5. Which is the second biggest value? (a) -0.3 (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {y: 15, k: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**2)**(-39)*(v\/(v*(v**(-11)*v)\/v*v))**(2\/85) assuming v is positive.\nAnswer: v**(-1985\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/(-2)) - (-9730)\/15. Suppose 165 = 3*r - t. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 9*p**2 + 171*p - 1650. What is k(10)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-8)\/(-112))\/((-1)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 32758.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 134, 421, 978, 1895, 3262?\nAnswer: 5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16713 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.92965kg to nanograms.\nAnswer: 32929650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5\/226, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46535, -47757, -48979?\nAnswer: -50201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - b + 7. Let q be (1 + 0 + 9)\/2. What is the least common multiple of (-384)\/(-60) + 2\/(-5) - -3 and n(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4522040 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(329\/(-105) + 11\/33).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*i + 33414, -12*u + 15*u - 6*i - 100188 = 0. List the prime factors of u.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 458 - 672. Let c = 217 + k. Solve -c*x = w - 18, 2*x - 1 = w + 2*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1371 + -49366\/6855. Find the common denominator of r and 119\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/6, -12, -2\/23, 2\/3, -4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - -1) + (-2772)\/798. Are c and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2*r**3\/3 - 3*r**2\/2 + r - 2. Let d be y(2). Let x be 0\/(d + -3 + 2). What is the closest to 2\/5 in 1, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -146?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1269 and 33149241.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 210002221 (base 3) to base 8\nAnswer: 36034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.9, -1\/5, 5, -1 in decreasing order.\nAnswer: 5, -1\/5, -1, -9.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -37*r + 8. Let z be v(-6). Let b = 11269\/49 - z. Let s(d) = -132*d + 2904. Let p be s(22). Are p and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -6, 10, 28, 48, 70, 94?\n\"Answer: y**2 + 11*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 3) + 0 - (35 + -30). Suppose -3*t - 5*j + 9 + 58 = 0, -4*j = 2*t - 48. Solve c = -2*n + 5*l + t, 0*n - 5*n + 2*l - 7 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**6*v)**(8\/9)\/(v**(-6))**(-15))**19 assuming v is positive.\nAnswer: v**(-5282\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5716578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.71 (b) 0.2 (c) -5 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 - -233. Solve 4*u - 2*u = -m - 7, 5*m = f*u - 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 3*m**4\/2 - 2*m**3\/3 + m**2 - 10*m - 3. What is the tens digit of j(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/87234 and 37\/630?\nAnswer: 1308510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2021 - 1003033414?\nAnswer: -1003031343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*g = 251*g + 50*g - 26048. Which is smaller: 1818\/29 or g?\nAnswer: 1818\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 378, 735, 1078, 1407, 1722, 2023, 2310?\n\"Answer: -7*z**2 + 378*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/(36\/108918). Let z = -1394 - j. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = -2*i, i + 3*r + 1 = 7. Solve -36\/7*z**2 - 26\/7*z**4 - 2\/7 + 44\/7*z**i + 6\/7*z**5 + 2*z = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1021320?\nAnswer: 1021324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13*o + 1392 = 0. What are the prime factors of o?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f. Let p(v) = v. Suppose 0 = 10*k - 14*k + 12. Give k*p(w) - u(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27412 and 517132?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154086 divided by 25681.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**5 - 7234*y**3 - 2*y**2 - 14*y + 296?\nAnswer: -60*y**2 - 43404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1510*s**3 - 352 - 1487*s**3 + 176 - s + 176.\nAnswer: 23*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 515577465 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9790 - 9731.27. Let l = u - 58. Round l to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e9 - 74e00?\nAnswer: -74ee9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 836495.4us in milliseconds?\nAnswer: 836.4954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -314*w - 7*w - 317*w as p + f*w and give f.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 3292261360*d - 677436553909315600.\nAnswer: -4*(d - 411532670)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/48572 and 28\/11?\nAnswer: 534292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(325) + 1 + ((sqrt(91) - 3*sqrt(91))*3)\/sqrt(7))**2*5.\nAnswer: -260*sqrt(13) + 43945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:23 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728 a factor of 39666575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 2. Let d = -17 + 24. Let x be a(d). Solve 4*k = -0*f + f - 9, 0 = -x*f + 5*k + 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.044 - -0.044. Let y = o - -0.17. Let s = 0.16999998 - y. Round s to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92060313 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -10, -19, -32, -49, -70?\n\"Answer: -2*a**2 + a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -17*x + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5 + 1 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (6\/(-3) - -2). Suppose -9 = -u*h - 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-7 - 19) + 1 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*v + 42, 11*u - u - 2*v = 9*u - u - 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1490141.617 to the nearest one thousand.\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.016014651 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1003*r**3 + 119*r**2 + 119. Let u(q) = 17*q**3 - 2*q**2 - 2. Determine 119*u(z) + 2*v(z).\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170332*u**3 + 116512*u**3 - 597472*u**3.\nAnswer: -651292*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adqwqqqdabdddbqwwqd. What is prob of picking 1 w and 1 q?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/3*45\/20. Suppose l = q + 2*q. Factor 0*a**2 + 11*a + 8 + 2*a**q - 3*a.\nAnswer: 2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 24*z - 20. Calculate the remainder when 55 is divided by m(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1412431.63823 + 1396772.926. Let q = x - -15639.51222818. Let n = q + 19.2. What is n rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(2016\/(-520))*(-5 - -1). Which is bigger: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 14 = -5*v. Let t = 16 + -25. Let r = t - v. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1 + 2 + 6 + 3*n - 4. Let a be b(-5). Find the common denominator of (a\/(-45))\/(2\/12) and 47\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7712)\/(-2410)*(-50)\/8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 13 = 2*f, -5*f + f = 2*n - 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from krvrlrl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n + 2. Let y(k) = -16*k + 3. Let r(m) be the first derivative of -47*m**2\/2 + 8*m - 220. Let p(f) = 2*r(f) - 7*y(f). Determine 11*j(g) + 4*p(g).\nAnswer: 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19931, 39885, 59841, 79799, 99759, 119721?\n\"Answer: q**2 + 19951*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.4 + -21. What is the nearest to 2\/7 in 1, y, 13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8729028151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 833\/147. Suppose -5*i = j*s + 410, 4*i - 3*s = -350 - 13. Which is greater: i or -88?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -36, 391, 0, -4, -2\/5, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**2 - 112*d + 512 = 0. Calculate d.\nAnswer: -32, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 254015*w**3 - 503*w**2 - 1006*w + 1509. Let t(p) = 1512*p**3 - 3*p**2 - 6*p + 9. Calculate 1006*t(u) - 6*z(u).\nAnswer: -3018*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*k**5 - 6237*k**4 + 10068*k**3 - 4212*k**2 + 528*k = 0.\nAnswer: -44, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {s: 2, l: 1, o: 1, x: 1, j: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 6:36 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c. Let u = -122 + 124. Let g(d) = 6*d**2 + 34*d**2 - 43*d**u. What is g(m(q))?\nAnswer: -363*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:22 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101930 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -15. What is the remainder when (11\/(-2))\/((-1)\/2) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdddddddvdddvd. Give prob of sequence ddv.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 56, -10 in descending order.\nAnswer: 56, 4, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995005860?\nAnswer: 2, 3, 5, 331, 50101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s - 2*s - 3*s)*(s + 4*s - 4*s)*(-s - s - 10*s) - 3*s**3 + 0*s**2 - 3*s + 0*s**2 to k*s**3 + x*s**2 + l*s + u and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 5:48 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 1. Let d(k) be the third derivative of k**4\/24 + 10*k**2. What is -3*d(x) - n(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44609793, 89219586, 133829379?\n\"Answer: 44609793*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ttttktttkkktkt.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 15. Suppose 0 = r*h - 30 - 30. What is the greatest common factor of 8 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. What is the biggest value in 4, o, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -282, 3 in descending order.\nAnswer: 3, 1, 0, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/9 + -11 + 4\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*l - 8, -2*l + 11 = 5*n + 1. Let p = 18.5 - 18. What is the closest to l in -0.1, 6, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2576 and 91\/138.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -227, -211, -175, -113, -19, 113?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = -2. Let t = 0 - o. Solve 3*j - t*z + 6*z + 11 = 0, z + 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377\/(-290)*4\/(-26)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = 2*t + 2, 5*u - 5*t + 10 = 0. Let j(v) = -3000*v**2 + 8*v + 108 - 7*v - 107. Let b be j(u). What is b rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -119, -3.2, 77, 0.2?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*-5*(sqrt(200)\/sqrt(4) + sqrt(50)) + -3.\nAnswer: -50*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*w, -n + 9*w = 4*w - 28. Find the third derivative of -n*r**2 + r**6 + 4*r**6 + 11*r**2 wrt r.\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*18)\/((-588)\/294)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, 237, 714, 1191, 1668, 2145?\nAnswer: 2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 13) to base 16.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/3))**(-2\/47)\/(v**(1\/8)\/(v*((v*v*v\/(v**(1\/4)*v))\/v*v*v)\/v)))**25 assuming v is positive.\nAnswer: v**(72025\/1128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 16. What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 20*k**2 - 19*k + 2. Let a be t(19). Suppose -m - a*p = -79, -35 = -m + 4*p + 68. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {d: 1, m: 6, t: 5, f: 5}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 1158969?\nAnswer: 11589.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 169422 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002201 (base 3) in base 13?\nAnswer: -90a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37288945 is divided by 193.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 6*q + 9 = -5*l, 5*q + 3*l = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o + 2. Let d be f(6). Let h = d + 106. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 24. Let g(u) = -2*u - 1 + 3*u**2 - u - 4*u**2. Let x be g(-2). Put x, -2, a in descending order.\nAnswer: x, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*p, -127*s - 30 = -125*s - 3*p for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 4914 = 26*g. What is the remainder when g is divided by 74?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Is 3\/127 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/3))**(6\/5)\/(w**10\/w**(-3)))**(-12) assuming w is positive.\nAnswer: w**(684\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o. Let d(g) = -g - 1. Let n = 241 - 239. Let c(k) = 160*k + 2. Let s(u) = n*d(u) + c(u). Determine v(s(p)).\nAnswer: -316*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 - 5*h + 7. Let l = 64 + -69. Let i(z) = -2 + 2*z**2 - 2*z - 1 + 4*z. Suppose 28 = 19*k + 66. Determine k*w(b) + l*i(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2\/7 (b) -0.6 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(-76*w - 77*w + 157*w + 3*w + 0*w - 2*w + (5*w + 0*w - 3*w)*(1 + 0 + 1)) in the form x + k*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 158 = 28. What are the prime factors of v?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3*u**3 + 46*m**3*u**2 - m**3 - 323*m*u**3 + 5*m*u wrt m?\nAnswer: 12*m*u**3 + 276*m*u**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-348)\/16 + 2\/(-8)). Let z = -48 - u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 6*f + 84. Suppose 0 = 5*m + 10, -5*g - 1 = 2*m - f. Solve 3 = g*h + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27100 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - sqrt(343)*-2)**2 - (sqrt(7) + -1 + 4)**2.\nAnswer: -6*sqrt(7) + 3071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251.26 rounded to zero decimal places?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*k - k = 19, -4*k = 5*n + 10. Solve -4*u + n = -u - t, 0 = 5*u + 4*t - 26 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/4 - 6*l**3 + 183*l**2\/4 - 115*l + 75 = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from ypdyyydoyyodaa?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110293600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -t - 2*b, -5*b + 8 = t - 2*t. Suppose 3*h - 2*h + 486 = 3*w, 0 = t*w + 3*h - 313. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26264589.\nAnswer: 3, 13, 673451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87368 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22755, 22756, 22759, 22764, 22771, 22780?\nAnswer: 22791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 - c**2 - 15. Let n = 619 - 621. Let q(d) = 2*d**3 + 7. Give n*l(o) - 5*q(o).\nAnswer: -2*o**3 + 2*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 - 20*o**2 - 102*o - 117. Determine u(-4).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - 103. Put 8, 1, d, -1 in increasing order.\nAnswer: -1, d, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.056 (c) 3\/5 (d) -0.5 (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(4 - -4)\/4. Let z(s) = 5*s - 24. Is z(a) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddzzzzzzzzzzz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00057267419 rounded to 7 decimal places?\nAnswer: 0.0005727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.1, -0.3, -15, -18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32720391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 - 248*h - 2068. Calculate w(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 58. Is n\/(567\/18) + 7607\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246042.8 rounded to the nearest 100?\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 7}. What is prob of sequence ggg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (-3 + 4)) + (30 - 41 - -3)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {z: 2, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(-2421*s + 8260*s + 2547*s)*(-2*s**3 - s**3 + 5*s**3) to the form d*s**3 + k + x*s**2 + a*s + j*s**4 and give j.\nAnswer: 33544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1166 divided by 109\nAnswer: -1166\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1103704 + -1337?\nAnswer: 1102345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 10*j**2 - 8*j - 4. Let w be c(9). Suppose 0 + w = n, 4*x = -2*n + 78. Calculate the greatest common divisor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39.7 - 40. Sort 3\/4, a, 0.4, -1\/10 in decreasing order.\nAnswer: 3\/4, 0.4, -1\/10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/((-704)\/(-48))*1\/1*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/14 + (-91161)\/(-98))*26 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 11. Let a be v(-4). What is the greatest common factor of a and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -20. Suppose l = -d - q*d + 249, 2*d + 2*l = 98. Is d greater than or equal to 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-14 + 8) - (0 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*-23479.5.\nAnswer: 1197454.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1309.\nAnswer: -4\/1309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8434\/15 - 562. Let i = 1523 - 1521. Factor 0*u**i + x + 2\/5*u - 2\/15*u**3.\nAnswer: -2*(u - 2)*(u + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142002 to the power of 1\/2, to the nearest integer?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-6))\/(15\/45) - 0. Suppose -7*z + 14 = -l. Let s be 21\/9 - 4\/(-6). Solve 0 = s*c - 3*d - 8 + 2, -4 = z*c - d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + (sqrt(34)\/(sqrt(4)\/sqrt(2)))**2 + sqrt(17) + 4*(sqrt(17) + -2) + (3*(sqrt(102)\/(sqrt(12)\/sqrt(2) + sqrt(6)) + 5*sqrt(68)))**2.\nAnswer: 6*sqrt(17) + 67509\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 f, and 1 m when four letters picked without replacement from fmfaffanffamn.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-1)*-48*(-28)\/5376.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10116 + -2333?\nAnswer: -12451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 - 4*i - 10. Let s be (-3 + 2\/(-2))*(-6)\/4. Calculate r(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -152c?\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 - 1. Let j(o) = 3*o**3 - 4*o**2 - 6*o + 4. Determine j(h) + 4*n(h).\nAnswer: -h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/7 - 202*j\/7 - 29 = 0.\nAnswer: -1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 4\/5487 (c) 87 (d) 5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.05 (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -m + 5*m. Let i be 1196\/m + 2\/6. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcyd when four letters picked without replacement from ycccoocccdycccdyccy?\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.676869 + 0.673. Round j to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24056310 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.8 - -0.04122.\nAnswer: 5.84122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 + 2*j**3 - 6*j**2 + 1 - j**4 + 377*j - 371*j in the form z*j + u + m*j**3 + q*j**2 + k*j**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q - 8. Let y(b) = -4*b - 6. Let f(c) = 3*x(c) - 4*y(c). Let k(t) = 65*t. What is f(k(v))?\nAnswer: 65*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/2 + 4 - 3)*-1. What is the biggest value in -0.2, 2\/13, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45581321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 99163*p + 99952. Calculate c(-1).\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 12*l**2 + 11*l - 19. Let g be h(-13). Suppose -5*n + g + 28 = 0. Is n at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 16*g**2 - 7*g + 15. Is z(-16) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26809.\nAnswer: 17, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1996, 0.5, 0.0595 in descending order.\nAnswer: 0.5, 0.0595, -0.1996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100012110110212 (base 3) to base 16\nAnswer: -4a9f6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108327301 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 10 + 1\/3*w**3 - 107*w**2 + 5*w. Find the first derivative of t(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:12 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11437 = -17*p + 11420 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 353*d - 337*d. Put -5\/7, -0.2, 4, d, -0.3 in decreasing order.\nAnswer: 4, -0.2, -0.3, -5\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 a when four letters picked without replacement from quqnuqluagn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**5))**25 assuming r is positive.\nAnswer: r**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006623 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2870 and -43\/30?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1781 and 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43139 and 358?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117811 or -118012?\nAnswer: -118012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37153.83 days to hours.\nAnswer: 891691.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -3\/11 (c) -7\/6 (d) -0.2 (e) 2\/15 (f) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -64. Let c be (-2)\/6*8*(-3)\/i. Suppose -2*f + c*f - 344 = 0. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 98*b. Let v(t) = 432*t + 99. Determine v(q(g)).\nAnswer: 42336*g + 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22171, -3\/2, -1, 0, 4 in increasing order.\nAnswer: -22171, -3\/2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018266 to 6 decimal places.\nAnswer: -0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.21*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/10112865 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/12 and -125\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**3 - 172*h**2 + 51*h - 91. What are the prime factors of n(31)?\nAnswer: 2, 3, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/19 + 6*q\/19 + 8\/19 = 0. Calculate q.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t**2. Let s = -6372 + 14320. Let h(u) = -s + 3*u + 7948. Give g(h(r)).\nAnswer: 126*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from edudvesceeeeuve.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 67446 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 4 + -6 + -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2129.2644 minutes to hours.\nAnswer: 35.48774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4569690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32824.3 - -32823.88558265. Let y = n + 0.1144178. Let z = -0.3 - y. What is z rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(152)\/(sqrt(8) - (-6*sqrt(288) + sqrt(8))).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5*r - 22, -5*w + 4*r - 22 = -57. Let s = w - 0. Let d = -12 - -15. Solve d*g + 9 = i, s*i - 13 = g + g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4, -4*u = -3*b + 7*b + 8. Let s(o) = o**2 + 5*o - 4. What are the prime factors of s(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 15 = 0, 2*o + 4*s - 525 = 3*o. Let u = o - -763. Suppose 65 = c + 3*n, -c - u = -5*c + 5*n. What are the prime factors of c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)*f**(5\/6)*f*f)**16*(f**(-1\/27)*f**(-2\/21)*f)**13 assuming f is positive.\nAnswer: f**(-25588\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/7))**15 assuming f is positive.\nAnswer: f**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v*v**(1\/20)))\/v)\/v*v\/((v*v**(-16))\/v) assuming v is positive.\nAnswer: v**(339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/17, 22, 5, 1\/6, -0.4, 0.5, 0.002?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7118417770?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(304))*1 + 4*(sqrt(304) - -1*sqrt(304)))*-2.\nAnswer: -360*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5 - 12)*(0*y + 3*y - 2*y) as c*y + z and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 + 1138*d + 7478. What is r(234)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let b(t) = 5*t - 2. Let r(s) = 2743*s - 1688. Let k(h) = 844*b(h) - r(h). Determine d(k(l)).\nAnswer: -2954*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (360\/8)\/5*34047\/(-3159)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 398244*s**2 - 9*s + 9. Let q be (-4)\/6 + 11\/3. Let t be m(q). Suppose -5*k - 1465819 = 3*j + t, 3*k = 4*j - 3030004. Round k to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i**3 - 2*i - i**2 + 22*i**3 + 12*i**3 + 3*i**4 = 0 for i.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 25*f - 25*f + 4*f**4 + 3*f**2 + (0*f**4 + 5*f**4 - 3*f**4)*(-5 + 3 + 4).\nAnswer: 8*f**4 + 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j = 121*j - 240*j - 1197 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -66.9. Put 5, c, -5 in descending order.\nAnswer: 5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 16, -12*s - 14 = 2*u - 15*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127251 = 1187*f + 612*f + 54*f - 282*f for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 140\/7 + 6*4\/6. Suppose 2 - 17 = -5*i. Suppose 2*c - 600 = -i*c. Calculate the highest common divisor of c and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 134*b - 4462. What is f(-60)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 31*g - 6*g**2 + 0*g**2 - 34*g. Let h(p) = -p**2 - p. Let a(s) = -3*h(s) + t(s). Let z(r) = -3*r. What is a(z(b))?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 16)*(35\/(-5) - -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231792.\nAnswer: 2, 167, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.19 and 75?\nAnswer: 74.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43994 * 0.3\nAnswer: -13198.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 6*f + 3. Let t(z) = -3*z - 9. Let a be t(-5). Suppose a*o = o - 15. What is m(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2194474, 4388880, 6583286, 8777692?\nAnswer: 10972098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216113229 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 9*c**2 + 10*c - 1. Let j be o(8). Let y = j + 4. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, z: 3, r: 4, l: 1}. What is prob of picking 2 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 133*c**4\/2 + 5*c**3 + c**2\/2 + 281. What is the third derivative of j(y) wrt y?\nAnswer: 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + v + 54, -18 = -l - 5*v. Let a = l - 30. Let t be (-2)\/a + 55800003\/(-18). Round t to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**2. Suppose 86*m - 91*m + 1155 = 0. Let r(a) = -233*a**2 + 0 + m*a**2 + 0. Give r(n(x)).\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b - 323. Let d be s(25). Solve -d*y = -l - 1, -5*l - 16 + 4 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 94 = -5*j. Suppose -j*n = -10*n - 2654. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + ((-77)\/4)\/((-1245)\/(-332)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1006246 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 670872 - 259128. Suppose -9*y = -6*y - t. Round y to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*f - 4*f - 2, 5*f = -4*p + 23. Suppose -3*s = 12, -5*s + 42 = 3*u - p*s. Suppose -5*x + u = -4*x. Solve -5*w - 2 - x = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 490.92.\nAnswer: 49.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27710661378.00000061 + 27710661492. Let j = 114 - r. What is j rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, j: 6}. Give prob of picking 1 w and 1 j.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21360 and 36.\nAnswer: 64080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -111 + 115 + 6*j**3 + j**2 - 3*j**3 + 3*j**2 + 4*j. Let c(i) = -4*i**3 - 5*i**2 - 5*i - 5. Determine -4*c(q) - 5*l(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -5\/4 (b) -2 (c) 0.08 (d) -4 (e) -161\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1 + (-80)\/(-16). Let s(o) = 10*o - n*o - 3*o - 3*o. Let r(x) = -4*x**2. Give s(r(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -18813939+-533798\nAnswer: -19347737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24730, -199374, -673848, -1598068, -3121950, -5395410, -8568364, -12790728?\nAnswer: -18212418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/50 and 129\/140?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232572 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, 10, 512, 1216?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/(sqrt(42)\/sqrt(6)))**2 + 2*sqrt(931) + sqrt(931))*-3.\nAnswer: -63*sqrt(19) - 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -599.5 rounded to 0 dps?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:54 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/14116380 and 51\/5.\nAnswer: 14116380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 23.82765 years?\nAnswer: 0.02382765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5346*y**2 - 775*y**3 - 5346*y**2)*(-4*y + 5*y + 2 - 2*y).\nAnswer: 775*y**4 - 1550*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f = 94*f - 24*f - 920 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/5 - 8*l + 42\/5 = 0?\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/13))**(-6)\/(i**14\/i**(1\/39)))**(-5) assuming i is positive.\nAnswer: i**(2905\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*d - 5 - 11*d + 5 in the form q*d + u and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5\/((-225)\/(-130))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let z(w) = 4*w - 1. Let a(s) = 3*b(s) - z(s). Let m(j) = j - 1. Let p = 6 + -7. Give p*a(n) - 3*m(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1760 or -1757?\nAnswer: -1757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0, -0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5\/5 + 6*x**4 - 30*x**3 + 58*x**2 - 48*x + 72\/5.\nAnswer: -2*(x - 6)**2*(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -26*(-7*5\/(-14) - (-2 - -1)). Is y bigger than -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-6) - 4)*3. Let v(q) = -6*q - 3. Let w be v(r). Let x = w - 40. Which is the smallest value? (a) 2\/9 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 6 - 8 = 4*m - 1 + 12, 0*m = 3*u - 5*m - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -29. Which is bigger: m or 0.05?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1387*d**5 + 799*d.\nAnswer: 27740*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 827268 and 7020?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 5*a**3 + 0*a**4 + 50*a**3 + 7*a**4 + 3*a**2 + 54*a**3 - 117*a**3 in the form v*a + x*a**3 + o + i*a**4 + l*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -345*r + 341*r + 497716, 497718 = 4*r + 5*y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 (base 7) in base 10?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**4\/12 - q**2. Let t be -7 - -7 - (-1 + -104). Let i(o) = t + 3*o - 105. Give i(f(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1 + (-3 - 4 + 3)*(-2 + 0 + 3))*((5 - 3 + 4)*(2*u**3 + 3*u**2 - 3*u**2) + 9*u**3 - 2*u**2 + 2*u**2 + (5*u**2 - 3*u**2 - u**2)*(-4*u + u + 4*u)).\nAnswer: -132*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, u: 5, a: 6, p: 4}. What is prob of picking 1 a and 2 u?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97439, 194869, 292301, 389735?\nAnswer: 487171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(1 + -1) - -11. Suppose 0 = 5*k - 35 + 5. Suppose m*u - 720 = k*u. Calculate the greatest common factor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49981 + 4*l + 49981.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(270*x + 158*x + 51*x)*(0 - x + 0) + (2*x + 5 - 5)*(2*x + 4*x - 5*x) to q*x**2 + o + b*x and give q.\nAnswer: -1435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 689.7052 micrograms in grams?\nAnswer: 0.0006897052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a**3 - 6*a**2 + 21*a - 41. Give b(3).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.8485 and 0.07289529.\nAnswer: -1.77560471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 + 7*o - 15. Let g be t(7). Calculate the common denominator of -2\/9 and (g\/2 - -3)\/(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16\/7 and 3\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 28. Suppose -2*l + h = l. Find the first derivative of -l + 17 + 3*r**4 - 17 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014672186 to six decimal places.\nAnswer: -0.014672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14756694*c*r + c - 131*r - 221449 wrt c.\nAnswer: 14756694*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 4724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -84*n - 5. What is the tens digit of m(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 46 - (1 - 1)) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.223801396\nAnswer: 0.0447602792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2 - 2 + (-4 - 1 + 3)*(3*p + 0 + 0))*(84*p**2 - 635*p**2 - 1056*p**2).\nAnswer: 8035*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3 = i + 4, 2*i = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110256652?\nAnswer: 2, 11, 107, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-24)\/(108\/(-9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 2. Let b be k(2). Let g be b + -2 - (-6)\/1. Solve -r - 4*q + 18 = g*r, -q = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - -2.55. Let o = 0.25 - x. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (350 - 645 - 2545)*(2*w + 7*w + 5*w - w) to the form j*w + i and give j.\nAnswer: -36920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46080)\/(-1280)*10\/(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -815 by 5.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14261*c**4*u - 5*c**3*u + 25*c**2*u - 433*c*u + c - 49 wrt c.\nAnswer: -171132*c**2*u - 30*c*u + 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/(-6)*(-36)\/3. Let n = 54 + b. Suppose -n = h - 6*h. What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q + 42215 = 43295 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*u - 0*u. Suppose -u*i + g + 350 = 0, -3*i - 5*g + 362 = -i. Suppose s = -10*s + i. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -222 + 205. Let n(g) = g + 74. What are the prime factors of n(f)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1106, 4357, 9840, 17555?\n\"Answer: 1116*k**2 - 97*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 20*j**2 + 1\/8*j**4 - 1\/3*j**3 + 0*j + 1\/20*j**5 - 1\/120*j**6 + 0. Calculate q(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28105343.\nAnswer: 7, 4015049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642900 rounded to the nearest ten thousand?\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 7*t - 6. Let u be f(8). Let i be 3\/(((-3)\/(-4))\/1). Determine b so that 2*b**5 - 2*b**u - 2*b + 3*b**4 - 4*b**4 + 5*b**i - 2*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 6. Let d(m) be the second derivative of m**3\/6 + 3*m**2 - 42*m. Let j be ((-2)\/2)\/((-1)\/3). Let t(y) = j*c(y) - 4*d(y). Calculate t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 4*r - 8. Suppose 0*k = r*k - 22. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 50 - -33 - -23\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3022 - -6381. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516706141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9151414.\nAnswer: 2, 29, 83, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 26*m - 269. Let x be r(8). Put -193, 5, x in descending order.\nAnswer: 5, x, -193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 13*g**2 - 16*g + 9. Suppose -4*v - 16 - 37 = h, 5*h + 85 = -5*v. What is the units digit of r(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86476.45 to the nearest 100.\nAnswer: -86500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t**2 - 262916308*t + 131458156 = 0. Calculate t.\nAnswer: -32864539, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44716 divided by -1597\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73bd - 41d?\nAnswer: 6fa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 24*l**2. Let u(n) = -7*n. What is v(u(w))?\nAnswer: 1176*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 9.27.\nAnswer: -342.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 685.\nAnswer: -7\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0208636 and 2.\nAnswer: 0.0417272","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2443, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/26)\/((-19)\/(-29887)*-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -407643.\nAnswer: -2038215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(117) + -4 + sqrt(117))**2 + (sqrt(117) - (sqrt(117) - -2*-1*sqrt(117)))**2 + (-6*(sqrt(117) + sqrt(117) + -1))**2)*1.\nAnswer: -624*sqrt(13) + 19293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1548 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221 - -122101?\nAnswer: 221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 11. Suppose -2*t = 3*t. Let v be q(t). Let o = -2 + 13. Calculate the highest common divisor of o and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -5) + 2 - (19 + -52 + 43).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q + 0*q - 3*q. Let v(i) be the third derivative of -i**7\/840 + i**4\/6 - i**2. Let k(g) be the second derivative of v(g). Determine n(k(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8995 divided by 1799?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - 2*sqrt(567))*-6 + (sqrt(567) - sqrt(567)*-2*-1) - -6*(6*-1*sqrt(567) - sqrt(567)))**2 + 1.\nAnswer: 776224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**7\/945 + g**6\/135 + g**5\/90 - g**4\/27 - 4*g**3\/27 + 14*g**2 + 4*g. Factor h(f).\nAnswer: 2*(f - 1)*(f + 1)*(f + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millisecond in microseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2442*p - 14648. Let f be k(6). Let u(w) be the first derivative of -w**4\/4 + 5*w**3\/3 - 2*w**2 - 4*w + 9. Determine u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 45*b - 26. What is c(-45)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-12)*(645 + -491).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1806\/2567 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130425310 and 3432245?\nAnswer: 130425310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171214933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -32672.7 to the nearest one hundred.\nAnswer: -32700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 7*i + 10. Let k be 5733\/(-936) - 2\/(-16). What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9128 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 356309, -2449.\nAnswer: -2449, -1, 356309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3008 + 2120638\/705. Let h = 4796\/705 + z. Calculate the common denominator of -16\/5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2160 + 4235. Suppose -7*t + m = -4*t - 4*b, 3*t + 2*b - 2063 = 0. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -5.\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.4 (c) 151.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272*d - 241.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 56.41. Let a = d - -1.7. Let b = a + -0.11071. Round b to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.1. Let l = -3.03 + 0.03. Which is the biggest value? (a) l (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1\/4 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 492172.\nAnswer: 1476516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -177386, -177388, -177392, -177398?\n\"Answer: -z**2 + z - 177386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -315471.79 to the nearest one hundred.\nAnswer: -315500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-8 - 5)) + (-2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/513 (b) -2\/5 (c) 178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 18*w - 239. Suppose 2*m - 6*m + 20 = 0. What is the remainder when m is divided by x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + m = 24, 96 = 3*a - 0*a - 3*m. What is the greatest common divisor of a and 1085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/44 + (-2)\/(-11). Let t(g) = 18*g + 212. Let c be t(-12). Sort -1, f, 5, c in decreasing order.\nAnswer: 5, f, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**6)\/v**(-11) assuming v is positive.\nAnswer: v**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-129)\/(-903)*(0 + 2). Sort 0.3, -5, 6, d.\nAnswer: -5, d, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/40 and 45\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*l - 233*l + 758 = -4699 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - u**4 - 15 + 9 = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.6 + 40.6. Which is the second biggest value? (a) 2\/23 (b) 0.02 (c) 2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -92537.\nAnswer: 1\/92537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-8)*(-182)\/(-1001)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 30118.\nAnswer: -13\/30118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4251, 4255, 4261, 4269, 4279?\n\"Answer: u**2 + u + 4249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*f + 51, 3*l + 3*f - 32 + 2 = 0. Let g(w) = l*w - 12*w + 14 + 6. Let j be g(14). Let y(m) = -m**3 + 7*m**2 - 5*m - 8. Determine y(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6327, -6325, -6323?\nAnswer: -6321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/30*(-863630)\/14179?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 8*p - 5. Suppose -4*k = -5*b - 23, -4*b - 9 = -5*k + 4. Let d be o(b). Calculate the smallest common multiple of 6 and 12 + 1\/d*-6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 95 = 2*b, 3*r = 7*b - 2*b - 160. Let a = -34 + b. Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*d*k*w**3 + 14*d*w**3 + 323*d*w**2 + 3*d + 4*k*w**3 + k*w - 72*k + 15*w**3 - w**2 + 2 wrt w?\nAnswer: 72*d*k + 84*d + 24*k + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 792.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:24 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8*n - 1. Let k be t(-2). Suppose 0 = -2*s - 3*s + k. What is the third derivative of -3*m**3 + m**2 + 2*m**4 + s*m**3 wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(0 - 1\/(-3)). Solve m*g - 2*g + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 271006 (b) 9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - f - 2*f)*(-3731*f - 897*f - 628*f - 5411*f) to the form b*f**2 + h + z*f and give b.\nAnswer: -21334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.09768 to 2 dps.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let g = 94.4 + -98.4. Which is the third smallest value? (a) j (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 694 + -154?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**1\/a))**(-5\/3))**(1\/15) assuming a is positive.\nAnswer: a**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -49774.\nAnswer: 1\/24887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and 0.691.\nAnswer: -17.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138950?\nAnswer: 2, 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/7 + 141*q**2\/7 + 3*q\/7 - 141\/7.\nAnswer: -3*(q - 47)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2613*h**2 - 2613*h**2 - 2*h**3 + h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26592250 is divided by 6648062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -5, -2\/7, -1600, 0.3.\nAnswer: -1600, -5, -4, -2\/7, 0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5\/42, -3, 0.5, -5.\nAnswer: -5, -3, -5\/42, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 595623983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/2 + 40*j + 1881\/2 = 0.\nAnswer: -19, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2570177522 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.05\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1598.\nAnswer: 159.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3255377?\nAnswer: 3255377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 261959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -14*g - 36. Suppose x - g + 4 = 0. Suppose -2*k + 60 = -x*z - 145, -z + 421 = 4*k. What is the greatest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/60 + 7*m**4\/24 + m**3\/2 + 5*m**2. Let w be l(7). Find the second derivative of 14*f**5 - w*f - 8*f**5 + 0*f wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150.8577 - -0.673.\nAnswer: -150.1847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.213 + -0.113. What is the closest to g in 3, 1\/6, -44?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 + 1 = 0. Suppose 46*i = 51*i - 10. Solve v + m - i = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 - -0.04. Let h be 2 + 0\/1 + -7. Let g be (3*-2)\/(-3) + h. Which is the second smallest value? (a) j (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 978 - 963. Suppose 0 = 2*b - 50 - 98. What is the remainder when b is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39450 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: Differentiate -777*a**3*p + 2*p + 73 wrt a.\nAnswer: -2331*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -7*o - 7542*v + 7538*v, -28 = -4*o - 4*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 272.96618 and -2?\nAnswer: -545.93236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -47*l**3 + 4*l**2 + l + 3. Let y be q(-3). Suppose -y = -5*j - 5*c, -j - 5*c = -3*j + 508. Let t = j + -104. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 26*l**2 + 7*l - 33. What are the prime factors of r(25)?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1256 (base 9) to base 16.\nAnswer: 3ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 436 = 521 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.25 + -17.36. Let y = 10.79 - 11. Let w = y - q. Which is the nearest to w? (a) 1 (b) 0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4578.\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9 - 3.8. Which is the nearest to s? (a) 1 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 182*w**3 + 16*w**2 - 136*w - 6. Let o(a) = -36*a**3 - 3*a**2 + 27*a + 1. Let u(q) = 3*m(q) + 16*o(q). Find the second derivative of u(j) wrt j.\nAnswer: -180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o + 141*o = 0. Let g(d) be the third derivative of o*d + 1\/30*d**6 + 1\/3*d**4 + 0*d**3 + 0 - 1\/5*d**5 + 12*d**2. Factor g(j).\nAnswer: 4*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 158 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*q + 16 = -3*k, -5*q = 5*k + 20. Let m = -0.7 - -1.2. Sort m, -5, k, 0.1 in descending order.\nAnswer: m, 0.1, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153 + -24 - 55 - 29.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 17*u**5\/4 - u**4\/4 + 4*u**3 - 79*u. What is the third derivative of z(b) wrt b?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290625 - 425*x + 581613 - 290988.\nAnswer: -425*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405813853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1560*4.\nAnswer: -6240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 5*h**4\/12 + 2*h**3\/3 + 9*h**2\/2 - 7*h. List the prime factors of l(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2779 or 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1397 + 1400. Let v(h) be the first derivative of 9*h + 4 + 11\/4*h**4 + 0*h**2 + 0*h**z. Differentiate v(k) wrt k.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2.10093, 2, 1\/7 in ascending order.\nAnswer: 0, 1\/7, 2, 2.10093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 10, 5 in ascending order.\nAnswer: 1, 5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6380 + 1060 = -14*g. Suppose 375*w + 8560 = g*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 + l. Let o be d(1). Suppose -4*q - 3 = w, 2*q = -2*q + o*w - 33. Let b = 14 + -44\/3. Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103072 = -2782*i - 27682 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 7. Let h(s) = s + 14. Let f be h(-9). Let q be v(f). What is l in 0 + 1\/2*l**q + 0*l - 1\/2*l**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2707314 by -2707314.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(1260\/24)*(-10)\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(180)*2 + -3 + sqrt(180) + 1 + -2 + sqrt(180))*-2)**2*-5.\nAnswer: -2085120 + 138240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = -k - 17*w, -3*k - 27*w + 33*w + 240 = -6*k - 0*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w - 25. Suppose 15 = 3*f - 5*c, w*f - 38 = c + 9. Suppose 0 = 216*s - 222*s. Solve 0 + f = 3*n - q, s = 5*n - 5*q - 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 7. Let c = i - 0.99941. Round c to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3*j - 2*j - 25 + 32 - 3*j**2 to r + k*j + d*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4 + 4. Let f be n\/4 - 205\/(-10). Let l = f + -10. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 6*v**2 + 0*v**2 + (-2*v + 1 - 1)*(3*v + 0*v - 5*v) - 2*v**2 + 7*v**2 - 3*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h**(6\/5)*h)))**23*(h\/(h*h**22)*h)\/h*h**(-1\/4) assuming h is positive.\nAnswer: h**(1027\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15994.86 - 82832.37\nAnswer: -98827.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 539\/231*243\/(-2835).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - g + 2*g**2 + 3 + 2*g. Let x(p) = -2*p**2 - p - 2. Let a be -1 + 2 - (36 + -39). Calculate a*x(w) + 3*c(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-3 + 2 + sqrt(891))**2 + (4*sqrt(110)*1)\/sqrt(10).\nAnswer: -68*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*v**3 + 88423*v**2 - 6485089*v + 1 wrt v?\nAnswer: -204*v + 176846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4883879 divided by 533\nAnswer: 9163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.068773 * -0.119.\nAnswer: -0.008183987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3, -338, 3 in decreasing order.\nAnswer: 3, -3, -23, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 347 + -351 - (-2 + 4 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -323 + 18*k + 639 + 4*k - 6*k**3 - 315 + 3*k**3 to the form x + p*k + w*k**3 + r*k**2 and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 24. Suppose -n + 3*n = 14. What is the remainder when q(11) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -78884?\nAnswer: 78878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + -1504712?\nAnswer: -1504701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6160*l - 105. Let w(a) = -1027*a - 18. What is -6*p(r) + 35*w(r)?\nAnswer: 1015*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42916, 81164, 119412, 157660, 195908?\nAnswer: 234156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:06 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to 3590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*k*l - 1010*k*q - 2*k - l*q**3 wrt q.\nAnswer: -1010*k - 3*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 5*z**2 + z + 2. Let l be v(-4). Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 10 = 5*a. Suppose 4*r - 4*z = 3*r + 20, 4*r - a*z - 10 = 0. Solve r = m - 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 44. What is the second smallest value in -1, 4, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*i = 424*i - 12048 + 20958 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**2 + 44*y + 5735. Let q(v) = -4*v**2 - 50*v - 5736. Let g(u) = -6*d(u) - 5*q(u). What is the derivative of g(x) wrt x?\nAnswer: -8*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -1.5, 4, -9650 in descending order.\nAnswer: 4, 0.01, -1.5, -9650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1536163940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4138*d - 7. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l + 9. Let m(j) = 2*j**2 + 6*j + 17. Let d(f) = -5*f - 26. Let c be d(-3). Let q(u) = c*i(u) + 6*m(u). Determine q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 10 - 482*g + 0 - 2*g**2 - 2 - 1 to j + m*g**2 + h*g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 2*c**2 - 1\/3*c**3 - 5\/3*c.\nAnswer: -(c - 4)*(c - 3)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + u - 1. Let n be o(0). Calculate the remainder when 201 is divided by (-11 + n)*51\/(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7838999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p + 7 - 40 + 2*p + 2 as a + d*p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2409730 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 57?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5302457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3 - 5*y + 2*y - 13*y**2 + 6*y - 2*y - 3*y. Let v(r) = 52*r**2 + 9*r + 13. Calculate -9*a(d) - 2*v(d).\nAnswer: 13*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224b8 (base 13) in base 16?\nAnswer: 11f29e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -16) + (-11 - -11 - -5 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(0 + 4*v + 0) + 3*v + v - 3*v)*(v**2 + 5*v**2 - 5*v**2).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:05 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 9:33 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.0631506.\nAnswer: -0.1894518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*m - 85, 83*m - 78*m - 5*w - 140 = 0. Calculate the remainder when 97 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22998701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3111 divided by 183\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3828*q**2 + 27496*q + 4900.\nAnswer: 4*(q + 7)*(957*q + 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*c - c - 36 = 0, -5*y = -4*c - 66. Let g = 1 + 9. Calculate the smallest common multiple of g and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 11. Let a be m(9). Let z = -2 - a. Suppose -67 = -z*o - 3*s, 2*s - 68 = o - 6*o. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/8)\/j**(-1\/3) assuming j is positive.\nAnswer: j**(-1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 < 489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + 2 + (155 - 196)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -4, -7, 0, 0.219?\nAnswer: 0.219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 21*z + 4. Let t(j) = 42*j + 9. Give -9*q(m) + 4*t(m).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5924 + -5909. Calculate the remainder when 927 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*i + 55 = 0, 7*i - 4*i - 25 = 5*h. Let q(n) = -n**3 + 14*n**2 - 43*n - 14. Let j be q(9). What is the hundreds digit of h\/(-16) + 658\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16390*i**3 + 13157*i**2.\nAnswer: -98340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/h**(5\/4))**(-11) assuming h is positive.\nAnswer: h**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrmrmrmrrr. Give prob of sequence mmr.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unoyonykooyyonky. What is prob of sequence ky?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and -6*6\/(-4) - (2 - 1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.4, 1\/30, -4, 21.\nAnswer: -4, -1.4, 1\/30, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 67868 times 0.3?\nAnswer: 20360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3632.2 + -3632. Put 2, o, -96, -5 in decreasing order.\nAnswer: 2, o, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29270652 - 5?\nAnswer: -29270657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x - 43*x = 268. Let d be 2\/(4\/118 - 0). Let g = x - d. Solve 0*y = 3*w - 2*y + g, 5*w + 18 = y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/116673508 and -81\/4432.\nAnswer: 466694032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1305330*n**2. Let q(g) = -g**2. Determine q(x(y)).\nAnswer: -1703886408900*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/(-1 + (-6)\/10) and 4\/(3168\/3836) + (-2)\/(-18)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -381 and -213.1?\nAnswer: 81191.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263 (base 7) to base 13.\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5572490087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 247, -21, -5 in descending order.\nAnswer: 247, 0, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 50, 89, 128, 167, 206?\n\"Answer: 39*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**2 + 155*s + 153. Give i(29).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(0 - -1 - 2). Let s be (-72)\/108*819\/(-26). What is the highest common factor of p and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + 17\/5. Suppose g*j - 2*j = 17. Let f(n) = 119*n. Let t be f(1). What is the greatest common factor of j and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 779, 1047, 1315, 1583, 1851?\nAnswer: 2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 162096 = -4*c, 2*n - 4*c - 33305 = -6261. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002713 rounded to four decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 889316 - 0.5?\nAnswer: 889315.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 1, e: 4, s: 1, w: 4, x: 2}. Give prob of sequence sx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24236*c**2 + 24568*c**2 - 48303*c**2.\nAnswer: 501*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 4. Suppose 17 = -6*p + 5. Let d(j) = -5 + 9 + 5 - 3*j**2. Let t(f) = p*d(f) - 5*b(f). Find the first derivative of t(n) wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115490211 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.08, -2, -2\/107, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 64.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 427, 1455, 3455, 6751?\nAnswer: 11667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-4*r**5 - 3*r**5 + 3*r**5).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118233 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41552, -41363, -41174, -40985?\nAnswer: -40796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -26*m - 8 + 37*m + 8. Let v(n) = 4*n. What is i(v(u))?\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*w + 972*w + 21084 = 654*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 670 = 4*d - 923, 6 = 2*o. List the prime factors of d.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - ae1a?\nAnswer: -ae1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -11. Let y be 4\/26 - 24\/q. Suppose y*b - 3*p - 23 = 0, -39 = -b - 0*p - 4*p. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 44 = -2*t, -3*k + 0*t = t - 33. What is the greatest common factor of k and 570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1759 - -1049. Let n = 1603 + a. List the prime factors of n.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3431 - 1718 - 1713 + 25*u.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 340186.\nAnswer: 2721488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/5 of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = -21*o + 14 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -22 (c) -0.08 (d) 7\/316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 47*a - 28. Solve a + 0 = -2*w - 5*z, 2*z = -w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 - 14 = 0. Let s(b) = 2*b - 14. Let l be s(5). Let g(o) = -o**2 - o + 1. Let i(w) = -3*w**2 - 3. Let d(c) = l*g(c) + i(c). Determine d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634680 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 10. Let w be f(8). Calculate the remainder when 38 is divided by -1*(w - 22\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5175748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 + 205 - 101 + 4*b**2 to a*b + m + s*b**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162571 is divided by 716?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -44.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4232, 8574, 12926, 17294, 21684?\n\"Answer: d**3 - d**2 + 4338*d - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 7b5?\nAnswer: -7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + 15*r**2 + 0*r**2. List the prime factors of l(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17507.\nAnswer: 7, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15326 is divided by 987?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hetpjmh. What is prob of picking 1 e, 1 p, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.10125 + -0.24825. What is n rounded to one decimal place?\nAnswer: 23.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 130*u**2 + 525*u + 8. Determine z(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 5*s**2 - 4. Let q(f) = -2*f**3 - 5*f**2 + 3. What is 4*q(l) + 3*v(l)?\nAnswer: -5*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.74. What is b rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -997*x + 880*x - 1 + 1074*x + 751*x.\nAnswer: 1708*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 + 7*d + 12. Let x be b(-5). Solve -x*m - 5 = 4*n + 1, 27 = -4*n + 5*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -32649 (b) 2\/5 (c) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -566680 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/24 and 25\/984.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) -39 (c) 2\/11 (d) 3 (e) -0.5 (f) -2316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142737 is divided by 825.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8760 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 944*t**3\/3 - t**2\/2 + 563*t + 2650. Differentiate n(q) wrt q.\nAnswer: 1888*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237256 - 118615 - 118641 + 30*v**2.\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 9. Suppose 5 = -d - o - 0, -4*o = -d. Put d, a, 3 in ascending order.\nAnswer: d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 111?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-4)*(-2)\/(-3). Find the second derivative of -2*a**2 + 2*a**l + 77*a - 64*a + a**3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33984 divided by 472?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 884004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101335 (base 7) to base 16\nAnswer: 43ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + a. Let x be y(1). Suppose i = 4*r + 2, 6 = -4*r + 3*r + 3*i. Suppose -k - 1 = -4*u, 2*k + x*u - 4 - 5 = r. Solve -1 = -v + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a. Let u(z) = -58*z - 3 + 3 + 59*z. Determine u(s(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(363) - (sqrt(363)*2 - sqrt(363)))\/sqrt(11) - (sqrt(33) - -4*(sqrt(33) + sqrt(33)*-1)))*-5)\/(-2*(sqrt(27) + 1*sqrt(27) - 1*sqrt(243))).\nAnswer: -5 + 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -5. Let o be 2\/(((-1)\/(-4))\/y). Let r(h) = 15*h - 490. Let t be r(33). Sort 4, t, -5, o in descending order.\nAnswer: t, 4, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -0.3, 2\/7, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077*a**2 + 804*a**2 - 124*a**2.\nAnswer: 1757*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 5)*838942\/84. Let i = 59069\/3 + u. Let z = -283 - i. Which is greater: z or -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/25 + 116*i\/25 - 380256\/25.\nAnswer: 2*(i - 408)*(i + 466)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x - 142. Let b(v) = 3 + 5*v - 3. What is the least common multiple of b(1) and g(-25)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 40*g**2 - 40*g - 43. Let l be m(-19). Let t(p) = p**2 + 10*p + 11. Give t(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, 29, 43, 75, 131, 217, 339?\n\"Answer: g**3 - 5*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 559937517918578*o**2\/3 - 133858136*o\/3 + 8\/3.\nAnswer: 2*(16732267*o - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34031003 (base 5) in base 14?\nAnswer: 7acc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2122 + -4?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/6 - 34\/51. Let v be (2\/(-1))\/((-2)\/l). Suppose v*g = 3*o - 272, -32 + 383 = 4*o - 3*g. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 153 - -2161?\nAnswer: 22b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 - -197. Suppose 7*v = 3*v - 2*z + 8, -2*v = m*z - 16. Solve v = 2*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304 + 309. Suppose -4 = d + 4*v - 7, -z*d = 2*v - 15. Solve -2*w = d*a + 16, 3 + 2 = -w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 44. Let u = z + -44. Let x = u + -28.00078. Round x to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 - 2*p - 4. Let w(j) = -13*j**2 - 4*j - 7. Let v(q) = -5*f(q) + 3*w(q). Let i be 1\/(-2) + 1\/(-2). Determine v(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus 0.155?\nAnswer: -16.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9940 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/c**(14\/5) assuming c is positive.\nAnswer: c**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8383349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 596)*-1 - (-1 - 2). Let t be y\/25*(-26)\/(-8). Suppose t = 7*j - 27. Solve v + 2*v + j = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3819 - -15181\/4. Find the common denominator of t and -25\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3252983 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h - 146 = 100 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 40*n**2 + 1. Let r(a) = 18*a. Let k(y) = 2*y. Let c(i) = -12*k(i) + r(i). Determine c(f(g)).\nAnswer: -240*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 95896?\nAnswer: 767168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w**2 - 364*w + 10*w**2 + 348*w - 8. Give x(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6)*38 + -2. Suppose 5*k - c = d + 3, 5*k = 3*d + 10. Suppose -4*a - t = t, 0 = -k*a + t. Let l(x) = x - 10. Determine l(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1243 + -101?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109695 to the power of 1\/2, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqqqqqqqqqeq. What is prob of picking 2 q?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(88\/(-4)))\/((-2)\/(-1)*(-218)\/(-16)).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -208*b**3 - 12*b**2 - 5461*b - 24. Let g(c) = -2*c**3 - c**2 - c - 2. Let w(o) = -12*g(o) + j(o). What is the second derivative of w(n) wrt n?\nAnswer: -1104*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 2*z**2 - z. Let d(w) = -2*w**3 + 11*w**2 - 5*w - 2. Let x be d(5). Give y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121\/24 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*f + w + 3*w, -f - 5*w - 2 = 0. What is the hundreds digit of f - -5 - (684\/(-4) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - 3. Let k = 8 + h. Suppose 6 = 4*x - 10*x. What is the third biggest value in k, 3, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 551297892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.4. Let i = -6.1 - -1.1. Which is the closest to -1? (a) u (b) i (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*p = n - 306*p - 2, -3*n + 5*p - 50 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 = 2*p. Let d be 326\/248*(p - -1). Let i = d - 4\/31. Calculate the common denominator of i and -25\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*o**2 - 486*o**2 - 487*o**2 - 488*o**2 - 494*o**2 + 2449*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*h + 3*y, 5*y = -h + 23 - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/56580 and -137\/5497690?\nAnswer: 32986140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 48 (b) -40\/9 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -303221013 (base 4) in base 6?\nAnswer: -4311143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 - p**4 + p**4 - 2 + (-2*p**5 + 3*p**5 - 2*p**5)*(4 + 3 - 1).\nAnswer: -8*p**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (2 - (10 - 2)). Let h(o) be the first derivative of 4*o - 1\/2*o**2 - 11. Calculate h(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 2 - 4458235*t**3 + 2*t**2 + 4458234*t**3 + 6*t**4 + 95*t to the form s*t**2 + o*t**3 + g*t**4 + z + h*t and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28349 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: Let u(q) = -q**3 + 11*q**2 + 13*q - 8. Let k be (-390)\/(-33) + (-2)\/(-11). Let y be u(k). What is the second derivative of -23*l + 20*l + y*l**2 + 3*l**2 wrt l?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 9:58 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 5 - 21)*(0*w - 3*w + 2*w) - w + 0*w + 3*w - 2*w + 6 + 0 - 2 + 3 - 3 - 2*w + (2*w - 3*w - w)*(-6 + 4 + 3) in the form x + i*w and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by 23.\nAnswer: 131\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*y - 132*y - 35*y)*(4*y - 4*y - 3*y) + (3 - 3 - 2*y)*(2*y - 2*y - y).\nAnswer: 611*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/147 and -19\/6048021.\nAnswer: 6048021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/6003 and 83\/2346?\nAnswer: 204102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49498 + -52269.3. Round o to the nearest ten.\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -46*o**2 - o - 1. Let a(s) = 45*s**2. Let c(j) = 5*a(j) + 4*b(j). Let t be c(-1). Let l = t - 37. Solve -16 = l*y, -3*f - 4*y + 20 = -6*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.033, -1\/486, -3\/22, 0.3, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 8, -4*u - 4*p = u - 173. Let j = -35 + u. Let k be 2\/(j*(-3)\/(-36)). Which is smaller: k or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 693 - 660. What is the highest common factor of 2937 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 399, 358, 319, 282, 247?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-62)\/(-4) - 6\/(-12). Let d = -15 + y. List the prime factors of 1*(46 - 0)*d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/((-4)\/(-48)). Let z be -4*2*(-4)\/y. Suppose -4*a + 0*a - 3*m = -110, -8 = z*m. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3)*(-17)\/85\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -19 + 8*s + 19 - 9*s. Let x(i) = 0*i - i - i. Give o(x(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 2232 + 10414 = -11138. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:37 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -22*g**2. Let c(p) = -7*p - 455. Let f be c(-65). Let t(s) be the second derivative of f*s**2 + 0 + 16*s + 1\/3*s**3. Calculate y(t(o)).\nAnswer: -88*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 22942091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -4*m - 26. Let x = -15 - m. Solve 3*d + 2 = -x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -67*f + 514. What is the least common multiple of a(4) and 34?\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 9*d**2 + 14*d + 1. Let s be v(7). Let u be 2*s\/1*1. Find the third derivative of -43*n**6 - 3*n**u + 98*n**6 - 36*n**6 wrt n.\nAnswer: 2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 976 - 977. What is the smallest value in 10, s, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -277*h**4 + 3*h**3 - 41*h**2 + 6. Let t(w) = -w**3 - w**2 + w - 2. Let v(y) = f(y) + 3*t(y). Find the third derivative of v(i) wrt i.\nAnswer: -6648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4542510, 4542511, 4542512, 4542513, 4542514?\nAnswer: 4542515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1682 + b + 2*b + 840 + 842. Let p(f) be the second derivative of f**4\/2 - 2*f. Give p(a(c)).\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p)**(10\/11))**(1\/2)*(p\/p**0*p)**(-2\/83)*((p\/(p*p**(-2)\/p))\/p*p)\/p**(-2\/7) assuming p is positive.\nAnswer: p**(11976\/6391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 1664*w\/11 - 346112\/11.\nAnswer: -2*(w - 416)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1.4, -374.2, 1 in descending order.\nAnswer: 5, 1, -1.4, -374.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -76\/3*b**3 + 13*b**4 + 0*b**2 - 15 + 0*b. What is the third derivative of d(q) wrt q?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1584) + 6*(sqrt(1584) + 3 + sqrt(1584) + sqrt(1584)))*-5*2)**2.\nAnswer: 1641600*sqrt(11) + 114429600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + -a368?\nAnswer: -a386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -38*n**3 + 19*n**2 + 48*n - 69. Let g(m) = 60*m**3 - 28*m**2 - 72*m + 104. Let d(o) = -5*g(o) - 8*l(o). Factor d(k).\nAnswer: 4*(k - 4)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 73\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.3035 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 31202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -83245 <= -83245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 550 = -4*c, 4*h - 93 = -c + 22. Let t = c - 287\/2. Is t at least -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5232383004.800000109 + -5232383009. Let x = a + 4.2. Round x to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -225\/8, 0.1, 2\/9, -287?\nAnswer: -225\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, m: 3, i: 1, d: 4, k: 2}. What is prob of picking 1 i, 1 m, 1 k, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**4 + 5*v**3 - 24*v**2 - 24*v. Let n(i) = 5*i**4 + 5*i**3 - 23*i**2 - 23*i. Let m(a) = -3*f(a) + 4*n(a). Determine u so that m(u) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9546, 9555, 9578, 9621, 9690, 9791?\n\"Answer: t**3 + t**2 - t + 9545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/3589619 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 2393659*a\/3 + 1595774.\nAnswer: -(a - 2)*(a + 2393661)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 5 - 2*j - j**4 + 2*j**2 + 0*j + 3*j**4 in the form c*j + d + w*j**3 + g*j**4 + m*j**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/16848593 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66 and -18.66.\nAnswer: 1231.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19986, 19988, 19990, 19992, 19994?\nAnswer: 19996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + 2 + sqrt(125)) + (4 + sqrt(125) + 2 + 2)**2.\nAnswer: 219 + 105*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**3*s**2 - 18195*c**3*s - 474*c**2*s**2 wrt s?\nAnswer: -14*c**3 - 948*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 7. Determine g(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s**5 - 6732*s**4 + 37272*s**3 - 66344*s**2 + 47700*s - 11916 = 0 for s.\nAnswer: 3\/5, 1, 3, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 5*m + 6 - 13 as j*m + a and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, j: 3}. Give prob of sequence jww.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 114*p**4 + 5*p**3 + 5*p**2 + 52. Let m(x) = 114*x**4 + 6*x**3 + 6*x**2 + 53. Let t(g) = -6*d(g) + 5*m(g). Differentiate t(u) with respect to u.\nAnswer: -456*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004583077 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 178*q**3 + 10*q**3.\nAnswer: -173*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + (sqrt(720) - (sqrt(720) + (sqrt(720) - (sqrt(720) + 2)))))*6 - sqrt(720)) + 1 + sqrt(720) + -4 + 3 + -1)**2.\nAnswer: 1584*sqrt(5) + 26041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204.105115 + 0.277885. Let j = 205.4 - z. Round j to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3228 - -2848.17.\nAnswer: -379.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 - 2*h + 3. Determine z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3754.\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + (sqrt(11)*5*-3 - (sqrt(1584) + sqrt(44))))*1.\nAnswer: -29*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/9)*a)\/(a\/a**(-3)))\/(a**(1\/17)*a**9) assuming a is positive.\nAnswer: a**(-1913\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a. Let y be z(6). Suppose 28 - y = 4*d. Solve 3*c - 5*b + 18 = 4*c, -b + 12 = -d*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - m**3 + 4*m**4 - 7 + 0*m**3 wrt m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*w + 145 = -0, 5 = -5*w. Differentiate -4 - 5*c**2 - 50*c + q*c wrt c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(2128\/4448))\/(1\/(-7)*-2)?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1656 = 4*d, 4*i - 1383 = 5*d - 9. What is the greatest common divisor of i and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314558984.\nAnswer: 2, 19, 31, 241, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 - 3. Let d(p) = 2*p**3 - p**2 + 6. Let s = -3 - -1. Let l(n) = s*d(n) - 5*y(n). List the prime factors of l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18984)\/132 + 2\/(-11). Which is smaller: -147 or z?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -267113?\nAnswer: 267112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18208, 36388, 54634, 72946?\nAnswer: 91324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-55))\/((-18)\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 + 9. Does 49 divide n(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2924 or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -891*g**3 + 1383*g + 287*g**3 - 1383*g + 121*g**2 + 161*g**2 wrt g?\nAnswer: -3624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089266872?\nAnswer: 2, 73, 1289, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 31, 96, 193, 322, 483?\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513886*b**2 - 5 - 2 - 49901*b**2 + 3.\nAnswer: 463985*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*p + 10 = 0, 4*p - 112262 = -112270 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.6 - 33. Let r(z) = z**3 - z**2 - z. Let y be r(2). Suppose 0 = y*t + 12 - 4. Which is the second smallest value? (a) t (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 2*k = -600. Calculate the highest common divisor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18842 is divided by 856?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 19, 9, -5, -23?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**3 - a**3 - 3*a**3)*(a + 10 - 26 - 6).\nAnswer: 3*a**4 - 66*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*f + 21 - 105 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -6*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Let f = -5 - -14. Suppose i = 22 - f. Solve -7 = -r*w + i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209697 = -2480*g - 13503 for g.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -19*q**4\/24 + 100*q**3\/3 - 262*q**2 - 5*q. Give m(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*15*1\/3. Let s = -100 + 108. Let l be -2 - -3 - 9\/s. Put -6, y, -0.3, l in descending order.\nAnswer: l, -0.3, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**2 - 7. Let l(a) = -3*a**2 - 4. Let i(m) = -9*l(m) + 4*w(m). Differentiate i(g) with respect to g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m + 3*u = 3, -4*m = 2*u - 2. Suppose 5*f + 30 = 5*o, -4*f + 18 = 2*o - m*o. Let t be o\/(189\/114) - 0\/(-1). Are 5 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5 + (sqrt(22)\/sqrt(11) + 0)*-5)**2 + -2) + 4.\nAnswer: -50*sqrt(2) - 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 22*l + 47. Give u(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -20, -5, -1, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*22\/55)\/((-21)\/10).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 12*t**2 + 14*t + 19. What is p(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3 + 14898*y**2 - 198273*y - 20374068 = 0.\nAnswer: -4979, -31, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 175 + 185 = 0. Let v = 13 + -7. Let y = o + v. What is the least common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517774601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108 + -12. Suppose -5*l + 19 = -y. Calculate the greatest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1. Let l(o) = 5*o + 20. Let u(q) = l(q) - 15*y(q). Determine u(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - m - 1. Let t be h(2). Suppose 0*l + 5*l - 615 = t*k, -4*k = -2*l + 256. Calculate the remainder when l is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5104 = x + 6*h - 11*h, -2*x - 3*h = -10169. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + 0*g)*(3*g**3 - 38*g**2 + 25*g**2 + 26*g**2) + 12*g**4 + 4*g**2 - 4*g**2.\nAnswer: 15*g**4 + 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 72 + 3 - 65.\nAnswer: -b**3 - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:46 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 504 + -458 + (-69 - 7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-1791*4\/(-6) - 2). Suppose z + 1327 = d. Round d to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y - 34. Suppose m - 5*b = -m + 2, -4*b - 4 = -m. Let d be z(m). What is the third biggest value in d, 0.4, 298?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 0*k + 422 - 2*k + k.\nAnswer: -k + 369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**4)**41)**(-1\/42))**(2\/11) assuming f is positive.\nAnswer: f**(-164\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2631596 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.056 - -22.256. Which is the closest to 2\/5? (a) -2\/19 (b) 1\/411 (c) -0.04 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**4 + 8*o**4 + 5*o**4)*(2 + 2 - 2)*(91*o + 74*o - 35*o).\nAnswer: 4160*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*w = -5*j - 601*w - 10, 81*w - 31 = -2*j + 84*w for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 87*g - 5630. Let y be c(66). Solve 13*i = 29*i - y for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-314)\/7 + (-16)\/112. Is -45 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-363)\/(-6) - (-2 + 9\/6). Solve 5 = y*r - 60*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1539) - sqrt(1539)*2)*-5 + 0 + 3 + (2 + (sqrt(1539) + sqrt(1539)*2 - sqrt(1539)))*3*-1)**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1924)\/(-156)*3 - (-1 + -15)\/2. Solve 134*d = 149*d + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujwrjjwvwwwrauvwu. Give prob of picking 1 r, 1 a, and 2 v.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 2 - sqrt(11)) + sqrt(11) + sqrt(11) + -2)**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, 54, 314, 808, 1614, 2810?\nAnswer: 4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - v - 3100. Suppose -5*d = -s, -5*s - 3*d = 2*d. Let r be o(s). Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35867444320624 and -0.5.\nAnswer: 35867444320623.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771467911 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.53 (b) 17 (c) -5 (d) -0.5 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216131.\nAnswer: 3, 7, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216 - -140. Let v = 84 + x. Let f = 13 + v. Calculate the remainder when 60 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 84.7 (b) 297 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-654)\/(-1417)*(-377)\/(-3)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -27. Let x = i - 38. Suppose m + 5*f - 12 - 5 = 0, 5*m - 114 = x*f. What is the remainder when 62 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4\/9 + 334*w**3\/3 - 24604*w**2\/9 - 52488*w + 115024 = 0.\nAnswer: -14, 2, 39, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3288 and 2192?\nAnswer: 6576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1903.9 times 1.2?\nAnswer: -2284.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36707 is divided by 276.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41634 (base 7) to base 6.\nAnswer: -115310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**37*(s*s**3\/s)\/s*s**(2\/7)\/s*(s**(1\/8)\/s**2)\/((s*(s**2\/s)\/s)\/(s*s**(-4)*s)) assuming s is positive.\nAnswer: s**(-201\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 2\/4 + 81\/18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946656 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 1)*(57 + 17 + 6)*(6*p**2 + 8*p**2 - 7*p**2)*(-3*p + 12*p + 2*p) to h*p**3 + m*p**2 + b*p + g and give h.\nAnswer: -6160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 + 32*a**2\/3 - 58*a\/3 + 28\/3.\nAnswer: -2*(a - 14)*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*s + 15, 14 = -4*s - 6. Let z(b) = -3*b - 6. Let d be z(q). Suppose 19 = p + d. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + -9. Let w = -444 + 415. Which is bigger: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.12 minus 0.573?\nAnswer: 469.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*r**3 + 786*r - 14498.\nAnswer: 30*r**2 + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 0*t**2 + 9*t**2 + 3*t + 6*t**2 - t**2 - 3*t**2 + (0*t + 0*t + 2*t)*(t + 3 - 3) to the form w*t + d*t**2 + g and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 5*z + 24 = 0. Let b be 0 + -1 + z\/(-8). Suppose -3*a - 13750 - 18650 = b. What is a rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1895\/379)\/((-55)\/(-836)*16)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6716, -26763, -60168, -106931, -167052?\nAnswer: -240531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y**(2\/37)\/y))\/y*y)\/((y*y**17)\/y)*(y\/(y**(-20)*y))\/(y*(((y\/y**(3\/5))\/y)\/y)\/y*y) assuming y is positive.\nAnswer: y**(1211\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/4 + (-2)\/8. Suppose 2*d + 4 = -p. What is the third biggest value in d, 0.5, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 22 = -3*q, 4*q - 6*q + z = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 868576*r**3 - 232117*r**2 - 7*r wrt r?\nAnswer: 5211456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 + 84 - (1 + -1). Let t = -29 + a. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 15*f - 68 + 43, 0 = -4*b - 3*f - 23. Put 6, b, -27 in descending order.\nAnswer: 6, b, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 105 = m. Calculate the remainder when 40 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/19, -0.76, -2\/3.\nAnswer: -0.76, -2\/3, 10\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12) + 4\/24. Suppose -5*k + b - 4*b - 6 = 0, p = -4*k - 5*b - 10. Suppose -4*m + 12 = -k*m. Solve 0 = -m*s + 5 - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.535509 plus 5175016?\nAnswer: 5174993.464491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = 7. Suppose -4*d + 5 = 3*c + y, 0 = -3*d - 6. Suppose u + 711 = c*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -13*b - 13 - 9 + 17*b**2 + 20 - 11. Suppose -5*a - m = 131, 2*a + 4*m + 57 = -m. Let r(w) = -4*w**2 + 3*w + 3. Give a*r(n) - 6*h(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3.3, 1\/14, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:36 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 857 + -495. Suppose -j + 3*t - 84 = -261, 4*t + s = 2*j. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose 2*y = 5*p + 4, p = -y + 6 - 4. What is the remainder when y is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25138851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.7 + 6.70000006. What is k rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432*m - 172 + 52 + 370*m - 750*m.\nAnswer: 52*m - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.726 + -0.726. Which is the second biggest value? (a) 1 (b) -3 (c) -0.72 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-8)\/48)\/((-7)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -14065142.\nAnswer: -1\/7032571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d. Let f(a) = 105*a + 91. Let k(s) = 7*s + 6. Let h(u) = -6*f(u) + 91*k(u). What is h(y(r))?\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(2 - 1) + 41 + -27. Suppose f*u - 13808 = 7643. What are the prime factors of u?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {q: 1, n: 1, f: 9, c: 2}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63014562.\nAnswer: 2, 3, 13, 53, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/11600145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4 = -5*y - 14, 124*y = 126*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 0.4, -0.3, 213, 0, -120\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 7. Is 2 a factor of s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*y = -58*y - 2130 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 6*z + 1. Let h be a(-4). Suppose -v = 5*l - h - 29, 4*l - 19 = 3*v. Solve -2 = k - l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311072 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/210)\/((-6)\/(-27))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6\/7, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (-4 + -3 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 479, 492, 519, 566, 639?\n\"Answer: v**3 + v**2 + 3*v + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/(-20)*(2 + (-16)\/6). Let d(j) = -j**2 - 6*j - 6. Let g be d(m). Put -1\/4, 6, g in increasing order.\nAnswer: -1\/4, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 6. Let r be -8 + 3*(-6)\/(-9). Let m(c) = c + 7. Give r*m(n) + 7*k(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*f + r, -4*r = -5*f - 1. Suppose -a + f*a - 138 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*y - 242 = 286. Let c(t) = -9*t**2 + 2*t + 3. Let w(m) = -8*m**2 + m + 2. Give y*c(b) - 5*w(b).\nAnswer: 4*b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365289773.\nAnswer: 43, 199, 42689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11)*k*k**(1\/35))\/(k\/k**(-20)*(k*k**(-10\/11))\/k))**15 assuming k is positive.\nAnswer: k**(-34722\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/13 + (-52)\/338. Suppose 979*t + 18 = 959*t + 98. Determine m, given that -16\/9*m**2 + 1\/9*m**5 + 4\/9*m**t + d*m**3 - 16\/9*m + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b (base 15) in base 16?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, o: 3, u: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtljllllll. What is prob of picking 1 l and 2 j?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 5*m**3 + 2*m**3)*(m + 5*m**2 + 15*m**2 - 11*m**2).\nAnswer: -18*m**5 - 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 25 + 45 = 4*v + 24, 2*r = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16043306 to the power of 1\/2, to the nearest integer?\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g - 160. Calculate a(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 148 = 3*i. Let o be i\/5 + 16\/(-40). Find the common denominator of (-6)\/o + 2*-1 and 14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564442741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 621 times 3?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346664?\nAnswer: 2, 3, 11, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 8) in base 11?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73741 is divided by 159?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16232731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*n + 21*n + 13*n**2)*(2*n**2 - 2 + 2) as j*n**2 + m*n + w*n**3 + v + p*n**4 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7610112 by -864.\nAnswer: -8808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 13. Let s be d(11). Suppose -13 = -s*n + 9. Calculate the least common multiple of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) + 626\/14. Let p be (-3 - 3) + 3 + 3. Suppose 4*w - 9*w + r = p. Calculate the remainder when 26 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-9)*(5\/(-6))\/((-3)\/(-9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.13, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1058 divided by -1058.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49352 and 5342752.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 77*q**6\/3 + q**3\/3 + 1199*q**2\/2 - 1273*q. What is the second derivative of h(d) wrt d?\nAnswer: 9240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*x**5 + 154*x**5 + 12330*x**2 + 675*x**5 - 12324*x**2 - 177*x wrt x.\nAnswer: 54660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 11:43 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.003 + -0.103. Let v = -126 + 128. Sort 5, m, v, 7\/2 in decreasing order.\nAnswer: 5, 7\/2, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-3 + -1)*32\/48.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10965 - 10963. Suppose -4*g + 29 + 3 = 0. Sort g, -5, u, 1 in descending order.\nAnswer: g, u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 18, -5 in descending order.\nAnswer: 18, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1510077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -984, -3907, -8774, -15585, -24340, -35039, -47682?\n\"Answer: -972*m**2 - 7*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117688 is divided by 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:44 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -362*m - 2532. Let k be o(-7). Let q(t) be the second derivative of -1\/15*t**3 - 1\/50*t**5 + 0*t**k + 1\/15*t**4 + 0 + 9*t. Factor q(z).\nAnswer: -2*z*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2209e + 5?\nAnswer: -22099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.039 and -5?\nAnswer: 7.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 20*m - 56 = -218 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*w + 174*w - 33 = -4*h, -4*h + 13 = -w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 - 103*w\/6 + 214\/3.\nAnswer: -(w - 4)*(w + 107)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11046 + 4?\nAnswer: -11042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 26*w - 25*w + 87*w - 2*w + 3*w.\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 43. Let o(z) = z + 11. Calculate the remainder when 93 is divided by o(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**6\/360 - q**5\/24 - 2*q**3 + 7. Let w(n) be the third derivative of b(n). Find the second derivative of w(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1614, 3279, 4944, 6609, 8274?\n\"Answer: 1665*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-14))\/(1560\/245700))\/2?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/30*(-25)\/(-3150)*21*10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1b86 (base 14) to base 3\nAnswer: 20212212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23220 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50056 at most 951048\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 900749 and 667.\nAnswer: 26121721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-7*18\/(-84))\/((-2310)\/(-88))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -590, -664, -786, -956, -1174, -1440?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 33*s + 54.\nAnswer: 3*(s - 9)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 u when three letters picked without replacement from fmunmuinfnnmunbnbff?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18122 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16\/13 + 209\/117. Is 2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Is (35 - s)*(-15)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/12 - 5*u**3\/6 + 4*u**2 - 2*u. Let o be b(-6). Differentiate 0 - 1 + o + 3*g + 0*g wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = -0*j, -5*j = 5*s. Solve -s = -2*m, 5*b - m = 3*b + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*g**3*z - 2*g*z**2 + 1278*z**2 wrt g?\nAnswer: -30*g**2*z - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 5*s**2 - 10*s - 9. Let c be r(-6). Let o(q) = -1 + c*q**2 + 8*q**2 + 2 - q - 5*q**2. List the prime factors of o(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -502e?\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*((-2)\/7)\/((-264)\/(-77) - 4). What is the third biggest value in 2, c, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.2563544 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is abd2 + -3930?\nAnswer: 72a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(128)*5)**2 + -5 + -1*sqrt(128).\nAnswer: -8*sqrt(2) + 51195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/12 - z**3\/3 - z**2\/2 - z. Let c be p(3). Find the common denominator of 85\/8 and (-4)\/c*327\/(-132).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00096935 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(3\/((-13296)\/44)). Let o = -91829\/154 + l. What is the common denominator of -139\/12 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 26*w + 166. Give p(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/9)\/(-10))\/(201\/(-18))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z**3 + 73*z**2 + 210*z + 136. Let m(t) = -21*t**3 + 74*t**2 + 209*t + 134. Let x(u) = -8*m(u) + 10*y(u). Determine k, given that x(k) = 0.\nAnswer: -2, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171646703.\nAnswer: 19, 9034037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 2524, 8287, 19338, 37393, 64168, 101379, 150742?\nAnswer: 213973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 193 = 196. Solve 4*g + 11 = -c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3382924?\nAnswer: 2, 109, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 s when four letters picked without replacement from {s: 2, x: 3, o: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-146)\/(-292))\/(2\/4))\/((-2)\/36).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(57\/(-6) - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**6\/120 - j**5\/15 + j**4\/8 + 2*j**3\/3 + 25*j**2\/2 - 3. Let h(m) be the second derivative of k(m). Give h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2437 - 2114 + 4165 = 204*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 + 1)*(3 - 3 + 1)*(0*a**2 + 2*a**2 + 2*a**2) in the form l*a**2 + r*a + x and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 217, 323, 429, 535?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -120*c - 2646. Let g be k(-22). Let q(f) = -86*f**3 - 17. Let v(s) = 29*s**3 + 6. Calculate g*q(z) - 17*v(z).\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 70 + 94 = 0, 2*q - 7 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8270\/3 (b) -3\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17350373 (base 9) in base 16?\nAnswer: 84f465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 21 - (9 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - p + 3*p - 5*p + 0*p - 7*p + 11 - 11 + (2*p - p + 0*p)*(2 + 1 - 4).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t - 44. Does 20 divide c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1. Let m(z) = -2. Let u(p) = -h(p) - m(p). Let y(r) = 6*r**2 - 1. Let x be y(-1). Let s(k) = -k + 4. What is x*u(f) - s(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/57)*h*h**(-2)*h*(h*h\/(h\/(h*h**(3\/8)))*h)**(-2\/11) assuming h is positive.\nAnswer: h**(881\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*n - 36, 2*m - 3*m = -5*n + 16. Let d = m - 1. What is the first derivative of r**d - r**3 + 1 + r**4 wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99382 divided by 37.\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Let y = 173\/6 - 29. Let r(s) = 2*s + 12. Let j be r(-8). What is the second smallest value in y, j, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iueixoxyueuy. What is prob of sequence uixi?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.7 + 10.7. Let h = -6.2 - -5. Let k = 0.2 + h. Which is the closest to k? (a) i (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4)\/v*v)\/v*v*v**(2\/3)*(v**1\/v)\/((v**(-3)*v)\/v))\/(v**(1\/3)\/((v*v**(-2\/15)*v*v*v)\/v)*v**(-6)) assuming v is positive.\nAnswer: v**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hurr when four letters picked without replacement from rmcmmhmxcmrcrumxrh?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2. Let k(j) be the second derivative of -307*j**5\/60 - 84*j**2 + 5*j + 6. Let f(q) be the first derivative of k(q). Determine f(p(z)).\nAnswer: -307*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1*n)**(-1\/12))**44 assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 9*y + 4. Let p be s(9). Let o = -225 + 227.94. Let x = 0.06 + o. Which is the nearest to 1? (a) p (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310098055 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/(((-504)\/(-16))\/(-21)*-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*i**2*y + 18*d**2*i**2*y - d**2*y - d*y + d - 9*i**2 - 2*i*y + 14*y wrt d.\nAnswer: -18*d*i**2*y + 36*i**2*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 326\/18 + 11\/(-99). Calculate the greatest common factor of o and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165637 and 5183.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10494455 divided by 6\nAnswer: -10494455\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 7}. What is prob of sequence vv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f**2 - 18*f + 11. Let y = -44 - -38. Let z(r) = -9*r + 1 + 4*r**2 - 1 + 5. Let b(c) = y*d(c) + 14*z(c). Factor b(q).\nAnswer: 2*(q - 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-15) - (-14)\/35. Factor -2*o**2 - 4*o**2 - o**s - 6*o**3 - o.\nAnswer: -o*(o + 1)*(6*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.22919 (b) -1 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = 5*g - 13, f = -5*g + 28. Suppose 0 = -2*s + f*z + 53, 2*s = s + 3*z + 25. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-3)\/114). Suppose -c = -0*c - t. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-561)\/(1\/(-2 + 0)). Let p = -421 + i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(1\/(-6)). Let u = j + -1. Let p be (1460\/(-300) + 5)*(1 - 6)*-9. Solve -5 = u*k + b, 4*b + p = -3*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*f = -16 - 25, v + 5*f = -17. Let r be (-69)\/(-161) + (-109)\/v. Solve a = 5*a + r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 7 = -f + 4, -8*z - 4161 + 4120 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 43. Let d(c) = 10*c**2 + c + 1. Let s = -3 - -2. Let k be d(s). Solve l = -3*f + 3*h, -5*f = 2*h - 5*h + k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v. Let d(s) be the third derivative of -s**5\/60 + s**4\/6 - s**3\/6 - 4*s**2. Let k be d(3). Let y(h) = 2*h - 3*h - 2*h + k*h. What is y(l(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.67446 centuries in millennia?\nAnswer: 1.467446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 3*w + 4. Let d be v(-2). Differentiate -d - 9*p**3 - 3 + 0 wrt p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-50) + (-1)\/(-2). Which is the biggest value? (a) w (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*t + 70, 5*t + 4*d + 65 = -6. Is 12 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -7 - 2) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1164 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 10 + 4 = 0. Let l(d) = -d**3 + d**2 - 26*d + 2. Let y be l(0). Solve 0*b + a*b = -y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*j + 34*j + 28446 + 3189 = 0 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 7*j**4\/16 + 13*j**3\/6 + 13*j**2\/8 - 3*j\/2 - 9. What is u in z(u) = 0?\nAnswer: -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.848 - 0.348. Let i = 1\/110 + 87\/110. What is the biggest value in 24, 0.1, a, i?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -62, -267, -500, -773, -1098, -1487, -1952, -2505?\n\"Answer: -2*c**3 - 2*c**2 - 185*c + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**4\/4 - 10*u**3\/3 + 6*u**2 + 15*u + 1. Let o be j(-11). Suppose 2 = -t + 1. What is the biggest value in t, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -4, -129, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1101*p + 5492. Calculate i(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, 429, -0.5, 12.85.\nAnswer: -16, -3, -0.5, 12.85, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/20 + b**5\/20 - b**4\/6 + b**3\/6 - 4*b**2. Let f be k(3). Suppose 74 = 4*g - f. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485952, -485949, -485946, -485943, -485940?\nAnswer: -485937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 2, 6044*k - 6040*k = -4*w - 32 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 31*z = 0. What is z?\nAnswer: 0, 31\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12\/25, 0.09 in descending order.\nAnswer: 3, 0.09, -12\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + 143. 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: Let v be 2\/(-3 - 9\/(-15)). Let u = -0.1 + -1.9. Which is the closest to -1? (a) 1 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2089781?\nAnswer: 2089781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 7. Let f = 37 + -20. Suppose -69 = -4*z - f. Suppose 0 = 2*p + 4*b - z + 1, 4*p + b = 10. Let d(i) = -i + 3. Calculate p*g(v) - 5*d(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1653 - 1652.93. Let i = 57 - 74. What is the second smallest value in i, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 42 - 34 = -c, c + 109 = 3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let w(y) = 32*y**2. Calculate u(w(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 5*b**4 - b**4)*(-2 + 3 + 1) - b**4 - 4*b**4 + 3*b**4 - 70*b**2 + 8*b**4 + 70*b**2 + (-2*b - 2*b + 5*b)*(2*b**3 - 2*b**3 + 2*b**3).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 18 - 6 = 0. Suppose 0 = -n*k + 115 + 41. Let j(o) = o**3 - 19*o**2 + 22*o - 7. Let a be j(18). What is the highest common factor of k and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) 0.2 (b) -2 (c) 5 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13*g**(-3\/2))\/((g*g*g\/((g\/(g\/(g\/(g**(-3\/5)*g))))\/g))\/(g\/((g*g**(-2\/13)\/g*g)\/g))) assuming g is positive.\nAnswer: g**(1203\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1160501*r**3 - r**2 + 12302909*r wrt r?\nAnswer: 6963006*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3509, -13664, 2\/9?\nAnswer: 3509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -249443671 less than -0.1?\nAnswer: 249443670.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 968.0579 centuries in decades?\nAnswer: 9680.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(125) + (sqrt(125) - -4*sqrt(125))*6 + sqrt(125) + sqrt(125) + 2 + -3))**2.\nAnswer: -11880*sqrt(5) + 4900536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 3) to base 9\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1672 and 45875918?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1 + 3 = 0. Let f be 2\/((a + 2)\/1). What is the second derivative of 3*i**2 + 0*i**f + 2*i**2 - i**2 - 4*i wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*3\/(27\/150). Let u be (-4)\/(-10) + (-54)\/(-15). Suppose -u*s + p = s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*m - 3433 = 0, m = -3*y + 3*m + 2060. Suppose -66*u = -73*u + y. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q**2 - q - 1. Let a(o) = 3*o**3 + 7*o**2 - 5*o - 7. Let s(p) = -a(p) - 2*y(p). Let r be s(-6). Solve -2 = 2*i - r*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252*f*p**2*x + 813*f*p**2 - 10*f*p*x + 16*f*x - 223*f + 9*p**2*x - 3*p**2 - p*x + 2*p - 2 wrt p?\nAnswer: -504*f*x + 1626*f + 18*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*f*k**2 + 64735395*f*k*n**3 + 2*f*k*n**2 + 2*f*n - 488*f + 3*k**2*n**3 - 91*k*n**2 wrt n?\nAnswer: 388412370*f*k + 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188433862?\nAnswer: 2, 94216931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220055 is divided by 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*l = -0*n - 56, -l = 2*n - 112. Let w(u) = u**2 + 254*u + 1490. Let v be w(-6). Solve 46 = v*f + n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -569*m - 44022 = 435*m + 514*m for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 8:29 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 + -71. Let b = 103 - t. Let l = 14 - 14. Is l at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10362 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44445*k**5 - 53*k**4 + 5900*k + 43 wrt k?\nAnswer: -888900*k**3 - 636*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.435 to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 236640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 203334? (a) -1 (b) -2\/15 (c) 41\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628, -3581, -8856, -16453, -26372?\nAnswer: -38613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139.69 - -139. Let k = 0.31 - m. What is the third biggest value in k, 2\/11, 7, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - j = -4*l + 188, -2*j + 112 = 2*l. Let t = -30 + l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 24\/629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13712175 by 5.\nAnswer: -2742435","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74086*f - 23839*f + 74566*f.\nAnswer: 124813*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -82 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**4 - 5*t**3 - 9*t**2 - 5*t + 2. Suppose 22 = 4*z + 6. Let v(l) = -l**4 - 2*l**3 - 4*l**2 - 2*l + 1. Let r(p) = z*y(p) - 10*v(p). Factor r(x).\nAnswer: -2*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 833 + -831. Solve -7 = -z + 5*x - s*x, -5*x - 5 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-452)\/10 + -2)\/(16\/(-1120)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8*h\/((h**(3\/10)*h)\/h) assuming h is positive.\nAnswer: h**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 1359773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, o: 11, h: 2}. What is prob of picking 2 x and 2 h?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 85\/(-10)*(-1 - -13). Is (k\/(-8))\/((-6)\/(-16)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1474 and -75\/134.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*s - 28, 5*s - 4*s + 20 = v. What is the greatest common divisor of 85 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2 + 83256*l - 4742343 = 0.\nAnswer: 57, 83199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 45*t - 80. Let s(h) = -3*h**3 + h**2 + h + 1. What is the lowest common multiple of k(2) and s(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 98*r - 107. What is h(48)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149801 and 3640926?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -869 - -1640874.\nAnswer: 1640005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211371?\nAnswer: 3, 70457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3301208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*h + 4*i = -58*h - 4, h - 16 = -4*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -0.8\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, -0.3, 24?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + -7. Let i = d - -67.9635. What is i rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 48.67. Let l = 0.97 + z. Which is the nearest to 0? (a) 1\/6 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 13*n**5\/4 + 2*n**3\/3 - 4082*n. Let c(k) = 131*k**3 + 9*k. What is 4*c(q) - 9*u(q)?\nAnswer: -61*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(13\/5)\/(y**(12\/5)*y**6\/y*y) assuming y is positive.\nAnswer: y**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 207*r + 11 - 2243. Solve -15*g - 31 = -r*g - 4*i, -2*g = 2*i + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916.534 centuries in months?\nAnswer: 4699840.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 612 (b) -5 (c) 5 (d) 0 (e) 15 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*z - 24 = 0, 5*z = -5*n + 3*n - 14. Calculate the remainder when 60 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 244 + 25*o**2 - 2*o + 221 + 9*o**3 as l*o**2 + h*o**3 + q*o + m and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (15 - 8) + 21 + (-15 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.32 + -319984.\nAnswer: -319986.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**2 - 40*p - 10. Determine i(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20555 + -12475. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 44. Let g(d) = 12*d + 105. Let f(o) = -9*b(o) - 3*g(o). Calculate f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22051, 43968, 65889, 87814, 109743?\nAnswer: 131676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -108. Calculate the smallest common multiple of n and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001616 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - i + 32114 = 0, -2*g - 204*i + 205*i + 64237 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 31627*u. Let f(g) = 24*g - 2. Determine f(s(m)).\nAnswer: 759048*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1*2\/(-1). What is the remainder when 82 is divided by (3 + -5)*l - -19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 302*a - 3745. Calculate v(15).\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + z. Let k(v) = v**2 + v - 6. Let w be k(-3). Let p be c(w). Solve p = -g + 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1242 and 20240.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*a**3*l*z**3 - 3435*a**3*z - a**2*z**3 - 2711*a*l*z**3 + 2*a*z**3 + 2*z**3 wrt l?\nAnswer: 14*a**3*z**3 - 2711*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79, 164, 249, 334, 419?\n\"Answer: 85*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -8*l + 1. Let h(a) = a - 1. Let w(c) = -c - 2. Let g be w(-3). Let b(q) = 4*q - 7. Calculate g*b(n) + l*h(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191000 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s + 4 = 0. Suppose 24 = -7*z + 4*z. Let n(h) = 6*h**2 - 8*h - 8. Let x(l) = l**2 - l - 1. Give s*n(v) + z*x(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 3. Let v(m) = -1 - 3 + m + m. Let u = -4 - -8. Suppose -k - 4*f = 16, -5*k + u*f = -3*k - 4. Determine k*g(n) + 3*v(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-8)*(-400)\/60?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**4\/13 + 6*d**3\/13 - 2*d**2 - 102*d\/13 - 72\/13 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -212 - 2a?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142745015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1040 + -0.3\nAnswer: -1040.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 54. Let j be (-4)\/p + (-2)\/72. Let s be (-19)\/35 - 94\/(-658). Which is the third biggest value? (a) 4 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 8*n = -55*v - 9*n + 499, 5*v - 132*n = -133*n + 43 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5\/2 - 90*j**4 - 430446*j**3 - 430263*j**2 + 860889*j\/2 + 430353 = 0. Calculate j.\nAnswer: -506, -1, 1, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 * -0.0164.\nAnswer: -0.005576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -3)\/(5 + -5 + -1). Suppose -2\/3*c**3 + q + 0*c - 2\/3*c**2 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70967 less than or equal to 70998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(168\/80)*2*(-3)\/12. Sort t, 51, -3, 2 in ascending order.\nAnswer: t, -3, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6\/5 (b) 17\/5 (c) -0.18 (d) 0.3 (e) -3\/4 (f) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 660 divide 3111900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 213*-1*(-28)\/(-56)*2328\/(-3492).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j + 28. Let g be q(-9). Let p = 4126\/33 + g. Suppose 4*u = -5*v - 8, 0 = -4*v + 3*u - 4 + 10. Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, -0.4, -45\/67, 2, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9257267 rounded to three dps?\nAnswer: 4.926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 5. Let o = -15.3 - x. Let v = -1.547 - -1.647. Sort 0, v, o in descending order.\nAnswer: v, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*p**3 + b**2*p - 108*b**2 - 88*b*p**4 wrt p.\nAnswer: 6*b**2*p - 1056*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 11*a - 8 = -s - 23*a, -4*a = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92491 less than 0.18?\nAnswer: -92490.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (14 + 8 + -35 - 10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 10867.\nAnswer: -336877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let u(y) = -3*y**3 + y**2 + y. Let n be u(-1). Let l(m) = -m + n*m**2 - 4*m**2 + 9*m - 2*m**2. Calculate -6*f(g) + l(g).\nAnswer: -3*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - -0.43. Let t(p) = 2*p**3 - 42*p**2 - 50*p + 97. Let s be t(22). Let h be s\/(-45)*18\/21. Which is the nearest to -4\/11? (a) i (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = -12. Let q(j) = -j + z + 2*j - 5 + j**2. Does 4 divide q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 974, -44954, 3\/8 in increasing order.\nAnswer: -44954, 3\/8, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 536, 482, 428, 374?\n\"Answer: -54*p + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -35857678?\nAnswer: -35857680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2 (c) -1 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.0209?\nAnswer: 0.5209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113000845 is divided by 10272802.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 4*v - 1. Calculate the least common multiple of b(1) and 236.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70559 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 24*s**2 + 24*s - 29. What is j(-25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/((-9360)\/135))\/9.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2297 plus 0.5?\nAnswer: 2.7297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d - 1. Let m(x) = 33*x + 9. Let u(r) = -5*a(r) - m(r). Let z be 2\/4*(2 + -2). Let b(t) = -3*t + 0 + z + 1 - 2. Determine -18*b(l) + 4*u(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6107.\nAnswer: 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -34074\/13 at most -2620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = -s. Let l be 4 - 0\/((-4)\/s). Solve l*h - 19 - 10 = -3*j, 4 = 2*h - 2*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -536 + 523 - (-51 - -1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1261, -1334, -1447, -1594, -1769, -1966, -2179?\n\"Answer: k**3 - 26*k**2 - 2*k - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277376775 by 1.\nAnswer: 277376775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/7 - (-4 + (-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**2 - 583 + 338*v**4 + 9810*v - 9812*v - 688 wrt v?\nAnswer: 4056*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.19 and 20085368.1977.\nAnswer: 20085368.0077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 5934782?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3220?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -241\/27, 4, -4\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**2 - 2*b - 2. Let p(a) = 36*a**2 - 9*a - 9. Calculate 2*p(v) - 9*x(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 2*f. Suppose -f*a + 15 = -0*a. Suppose n - 2*n + a = -3*h, -4*n + 52 = -2*h. Solve -2*q - n = -0*q + 5*o, 0 = 3*q - 2*o - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*y + 4 - 92. Put 5\/4, -9, -2\/17, y in decreasing order.\nAnswer: 5\/4, -2\/17, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 3, a: 10, t: 1}. Give prob of sequence aww.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 20*d + 4. Let r be h(-9). Suppose 31*x = r*x + 216. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4226277*q**4 + 31341*q + 24?\nAnswer: 50715324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, v: 8, n: 7}. Give prob of picking 2 v and 2 z.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 316500000 = -5*k. Suppose -k = 4*f + f. What is f rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.737753 less than 9016?\nAnswer: 9051.737753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5 - 13. Which is greater: -7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.2 (c) -5 (d) -36 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 94*r - 256*r.\nAnswer: -350*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 90940888 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, n: 5, o: 1, r: 4}. What is prob of sequence wnnn?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -289 + 381.9. Let g = 88 - h. Let w = -4.6 - g. Put 1, -2, 0.6, w in ascending order.\nAnswer: -2, w, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 28. Suppose -5*b - 3 = s - 38, i = 3*s + b - 175. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-407 - -409) + (2 - (3 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let t = -14 + 16. Suppose 3*q - q - t = 0, -249 = -5*j - 4*q. Let g be 6\/14 + 224\/j. Determine k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orraobnbnnoroobo. What is prob of picking 2 r and 2 n?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*h, 2*a = -2*a + 4*h + 8. Suppose m = 5*m + 8. Let u(x) = x**2 - 2*x - 3. Let l be u(m). Solve 2*g - l = -a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/13)\/(268\/3484)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70.5 - 9.5. Let q = c - 60.9973. Round q to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429496903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4546 + 4545.5. Suppose -4 - 1 = -5*s. What is the biggest value in p, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55488)\/411264 - 1\/18.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 42. Let k be l(23). Solve -2*o = -k*s + 10, 4*s - 4*o - 16 = -0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - ((-54 - -33) + 93).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 + 161. Let n = -148 + 143. Put 8, -4, r, n in descending order.\nAnswer: 8, r, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 - 2?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 6*c + n - 23, -8*n + 20 = 5*c + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 8:36 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) 0.5 (b) 8 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -859751 - 25740249. What is k rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 30. Let t = 16 + -64. Calculate the common denominator of m(0) and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a + 1?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j**2*m**2 + 14*j**2 + 1284*m**2 wrt j.\nAnswer: 14*j*m**2 + 28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 4*s + 1, 16 = -5*s + 4*m. Solve s = -16*d + 64 - 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -18. Suppose -b - b + 232 = w. Suppose -37 = -3*h + b. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**2 + 603*t - 483425. Calculate s(211).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 11*t - 18. Does 0.1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 7:36 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2)*(-2 - -1). Suppose x = 5*c - 2 - 18. Suppose 0*z - c*u = 2*z + 72, 0 = z - 3*u + 61. Round z to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2894254 and 1086580.\nAnswer: 9878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 11*k**2 - k - 4. Let h be v(-11). Solve h - 3 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -594, 17426, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/7, 93.451, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -71, -99, -109, -95, -51, 29, 151?\n\"Answer: l**3 - 47*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 1. Let z(n) = n**2 + 5*n - 7. Let c be z(-7). Let r = c - -6. Let f = 10 - r. Let b(q) = 2*q - 1. Determine f*j(h) - 4*b(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5)\/t)\/(t\/t**6)*(t\/t**(-5)*t)\/(((t\/t**(4\/5)*t)\/t)\/t*t))\/(((t\/(t\/(t*t**3\/t)*t))\/t)\/t**(2\/9)*(t\/t**2*t)**(4\/31)) assuming t is positive.\nAnswer: t**(442\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -15 - 24 + c**2 - 8*c - 5 + 53 - 11*c. Calculate n(14).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j - 60. Let x be j\/(-15) + -2 + 1. Let k(c) = -c**2 + 2*c + 3. What is k(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -477893781, -477893778, -477893773, -477893766, -477893757, -477893746?\n\"Answer: z**2 - 477893782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248, 1247, 1246, 1245, 1244?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000)*1 - sqrt(30))\/(sqrt(6)\/sqrt(108)))\/(sqrt(192)*3 - sqrt(192) - sqrt(18)\/sqrt(384)).\nAnswer: 432*sqrt(5)\/127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/10 - 139*i**4\/6 - 269*i**3 - 1197*i**2 - 1817*i. Factor m(b).\nAnswer: -2*(b + 3)**2*(b + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*i - 0. Solve -i*n + 3 = 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 14196*s**2. Let r be h(1). Let q = 9750 + 25752. Suppose -2*g - r = -4*g - 4*w, -5*g + 2*w = -q. Round g to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25247.538 to the nearest one hundred.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 12846493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902113 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 256971683?\nAnswer: 2569716830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*o**3 - 63*o**3 - 62*o**3 - 62*o**3 + 242*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(-3*(sqrt(448) + 0) + -1 - (3 + 5*sqrt(448)*-3)))**2.\nAnswer: -6144*sqrt(7) + 516224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 17300 = 12*h. Suppose 29*o - 4*o = h. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urur when four letters picked without replacement from {u: 4, r: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 + -7 - (-3 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 114 = -123. Suppose 6*t - 36 = x*t - 3*d, -5*t + 66 = 3*d. Solve -z + 5*n = -0*n + t, -3*n + 22 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14215 + 398067\/28. Let m = 10\/7 - v. Put 0.2, 0.06, m in decreasing order.\nAnswer: 0.2, 0.06, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z**2 + 5*z - 5. Let q(r) = 39*r**2 + 18*r - 18. Let j = -212 - -207. Let g = 46 + -28. Calculate g*p(b) + j*q(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/17 - 1180*c\/17.\nAnswer: 2*c*(c - 590)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1 - 3. Let t(b) = -b**3 + 2*b**2 + b + 4. Let c be t(3). What is the second biggest value in c, d, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12689, -12678, -12667, -12656, -12645?\n\"Answer: 11*a - 12700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 + 20152*i - 304577328.\nAnswer: -(i - 30228)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44443006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + l**2 - l - 1. Let j be s(-1). Suppose j*q + 2*u + 34 = q, -3*q + 106 = -4*u. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 2. Let b(k) be the third derivative of -k**3\/6 + 31*k**2 + k. Let h = 0 + -1. What is h*z(c) - b(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c - 0 - 7. Is -18\/11 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 35*m**3 - 7. Let z(x) = x**3 - 2*x - 19. Let n(i) = 22*i**3 - 10*i - 98. Let w(j) = n(j) - 5*z(j). What is -4*o(f) + 9*w(f)?\nAnswer: 13*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**5*b*b*b*b**(2\/9)*b*b*b**(8\/7)\/b*b**(-2\/25))**(17\/5))**(-44) assuming b is positive.\nAnswer: b**(-1513952\/7875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.3 - 14.5. Let o = l + -20.89. Round o to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11. Let t = 4 + -8. Let l be (-2)\/4 + (-22)\/t. Solve p = h - 2 + l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.156 + 0.056. Do p and 783 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -0.551.\nAnswer: -22.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 80850 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 2 + -3)\/1. Let d(w) = a + 0 - 4*w**2. Let n(y) = 2*y**2 + 0*y + 0*y. What is d(n(i))?\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000690476407 to seven dps.\nAnswer: 0.0006905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4271 + 0.0271. Let s = 31 + 23. Let n = 86 - s. What is the third biggest value in n, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -278, -341, -456, -641, -914, -1293?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 20\/83, -0.4, -0.2?\nAnswer: 20\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 12. Suppose z - l*z + 51 = 0. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/5 (b) -9.2 (c) 0 (d) -31 (e) -41 (f) -2\/7 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.68 (b) -5 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/7 - 30*p**3\/7 - 6*p**2\/7 + 86*p\/7 + 60\/7 = 0.\nAnswer: -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -184, 438.\nAnswer: -184, -17, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48782.63 nanograms in milligrams?\nAnswer: 0.04878263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13455*z - 13415*z - 13444*z + 40311*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 985392.\nAnswer: 1\/328464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(132) - (1*sqrt(132)*-5 - sqrt(132)))*3)\/((1*sqrt(432)*-4 - sqrt(432))*-2).\nAnswer: 21*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8210 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 + 218*c**3 - 634*c**2 - 218*c + 636 = 0. Calculate c.\nAnswer: -1, 1, 3, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1.866\nAnswer: 0.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - -42 - 68) + 12.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((1\/3)\/(3060\/1836))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**4\/3 - 25*a**3\/9 + 82*a**2\/9 - 41*a\/9 - 4\/9 = 0.\nAnswer: -4, -1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/9 - 16314406*x**2\/9 - 33269988548806*x\/9 - 33269972234402\/9 = 0. What is x?\nAnswer: -4078601, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121200231 (base 4) to base 13.\nAnswer: cab5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 23*u**2 - 244*u + 28. Let t be j(-8). Put -1, -125, 0, 1, t in decreasing order.\nAnswer: 1, 0, -1, t, -125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3340.7 to the nearest ten.\nAnswer: -3340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**4\/12 + m**3\/6 - 3*m**2. Let s(y) = -y - 8. Let l be s(-11). What is z(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29546968, -59093942, -88640916, -118187890, -147734864?\n\"Answer: -29546974*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.55532 to 2 decimal places.\nAnswer: 36.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -1\/12*f**4 - f**2 - f - 1\/30*f**5 + 0*f**3 + 0. Let z(s) be the first derivative of b(s). Factor z(d).\nAnswer: -2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose -4*m + 14 = -y*m. Suppose m + 26 = 3*q. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 4*h - h + (-h - h + 3*h)*(6 - 2 - 3) - 3*h + h + 0*h - 44 - 5*h + 44.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20 + (0 - (1 + 0)). Suppose 3*z = w - 15, -4*z - k = -0*w - w. Let t(u) = -u**3 + 3*u**2 - u + 4. What is t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/(-24) - (-9)\/(-6). Which is the closest to -3\/2? (a) -1\/4 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -156, -194, 2, 552, 1576, 3194?\n\"Answer: 20*v**3 - 3*v**2 - 169*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -16*v - 22. Let s be l(3). Suppose 79*m + 120 = -117. Put 5, s, m in ascending order.\nAnswer: s, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.03904 millennia in years?\nAnswer: 71039.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -17 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l. Suppose 0 = -4*u + m + 9 - 4, -5 = m. Let v(a) be the first derivative of 0*a + 2\/3*a**3 + 2 + u*a**2. What is v(d(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 1. Let z = 577 + -575. Let n(g) = 2*g**3 - 12*g**2 + 17*g - 1. Let s be n(z). Let b(y) = 2*y**3 - y**2 + 6. Calculate s*b(t) - 4*f(t).\nAnswer: 2*t**3 + 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6659 is divided by 53?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/9)*h*h)**5 assuming h is positive.\nAnswer: h**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -36 (b) 0.2 (c) 0.7 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2801479071 to the power of 1\/2, to the nearest integer?\nAnswer: 52929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 11 + 4. Let r(v) = v - 6*v**2 + 0*v - 1 - 5*v**3 + 6*v**o. Let w be r(6). Solve -5 = w*q - 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)*(m*m**(-2\/5))\/m*(m**(2\/9))**(-10) assuming m is positive.\nAnswer: m**(-478\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*p - 3*p + 26, -4*q - 5*p + 50 = 0. Let b = q - 6. Let r(v) = -v**3 + 2*v**2 + 11*v + 8. Let a be r(0). Solve a + 0 = b*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8211 and 6601?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 + 9*t**2 - 5*t + 8. Let p be d(4). Suppose 0 = 2*w + 4*i - 24, -4*w + 5*i = -10 + 1. Solve 2*s - w*s - p = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -39. Let s be (w\/6 - -3)*246. Suppose -2*u = -3*v - 116, -3*u = -4*v - 50 - s. What is the remainder when u is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v - 19*v + 23 = -40*v - 9*n, 4 = -4*n for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-99)\/6)*65\/(4875\/6).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 10*z - 4. Let h be t(-4). Let c = h + -24. What is the common denominator of 25\/12 and ((-2)\/c)\/(7\/322)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -2 (c) 1.35 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74751343 + 4?\nAnswer: 74751347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107063901802 - 4122.\nAnswer: -107063905924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*j**2 - 157*j**2 + 407*j**2 + (0*j**2 - 2*j**2 + 4*j**2)*(-1 + 1 + 2) in the form m*j + n*j**2 + x and give n.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*g - 3*g - 26, 0 = 3*a - 6. What is the least common multiple of g and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 43*p - 21.\nAnswer: -(p + 21)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 814883, 1629449, 2444003, 3258539, 4073051?\n\"Answer: -m**3 + 814573*m + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 464812 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y - 2 + 13 + 5*y**2 + 5*y**2. Let o(h) = h**2 - h + 1. Let b(a) = -22*o(a) + 2*p(a). Let f(n) = -n. Calculate f(b(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 3*l**5\/20 - 40*l**4 + 6237*l**3\/2 + 19683*l**2 - 5558*l. Determine v so that t(v) = 0.\nAnswer: -2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8036412, -16072825, -24109238?\n\"Answer: -8036413*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-93)\/15 + (-8)\/10. Let q = 6 + o. Let a(w) = -3*w**3 + w + 2. Let r be a(q). Solve 10 = -r*i - i, 0 = 3*l - 2*i + 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.7 and 30?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06374 * 13.\nAnswer: 0.82862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5348 or -5349?\nAnswer: -5349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-56)\/80*2. Sort h, 7, -4, 0.2.\nAnswer: -4, 0.2, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(171) - (-1*sqrt(171))**2) + 2).\nAnswer: -507 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 9*g + 14*g = 15, 5*g = -3*z + 13. Solve 3*m - 3*v = -5*v, -v = m + z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15954*s + 15954*s + 2*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 4*o - 5. Let z = -9 - -4. Let l(k) = 7*k - 3. Let f(d) = 4*d - 2. Let i(j) = -5*f(j) + 3*l(j). Let c(u) = z*i(u) - n(u). Solve c(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3 - 3*d**2\/2 + 2. What are the prime factors of a(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284.9737 + -285. What is m rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2197 + 9.54\nAnswer: 10.7597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16540200 (base 9) to base 4.\nAnswer: -133220232102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/5 - 6*r**3\/5 + 11*r**2\/5 - 6*r\/5 = 0. What is r?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 6. Let i be t(6). Suppose i = 5*u - 2*u. Let z = 3 + u. Sort z, 2, 0 in decreasing order.\nAnswer: z, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 316416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82727 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -5 + 4)*-5.\nAnswer: -40*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*-22 - (1400\/32 - 33)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-17)\/1700*8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**4\/24 + 2*p**3\/3 - 5*p**2. Let w be i(10). Round w to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5458981, 5458973, 5458967, 5458963, 5458961, 5458961, 5458963?\n\"Answer: c**2 - 11*c + 5458991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 562, 1741, 3966, 7573, 12898?\nAnswer: 20277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = w - 17, 5*v + 11 + 22 = 4*w. Let y(q) = 3 - w*q**2 - 3 - 1. Determine y(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 3\/(-3)*0. Solve 3*y + p = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1fd6a1 (base 16) to base 5.\nAnswer: -1013232221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26418928 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -774 + 774. Solve n = -3*q - 3*f + 6, 38 - 45 = -3*q - 4*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 278 + 227 - 505.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Suppose 4528 = -14*j + 18*j - c*v, j - 1132 = 3*v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1833 and 1349.\nAnswer: -2472717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3 + 498742*h**2 + 3990032*h + 7980128 = 0.\nAnswer: -4, 249379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 37*k - 10514. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 46*n - 2432 = 21*n + 24*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27403 and 9407.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8160)\/(-1008) + 20*(-2)\/28\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -2\/3*w**3 + 0 + 0*w - 1\/4*w**4 - 192*w**2. Determine u(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 16*j + 5*n, 2*n - 18913 = -18855 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54.67983831 - -54.68. Round b to six decimal places.\nAnswer: 0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1381 divided by -271.\nAnswer: -1381\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -15*h**4 + 8706*h**3 - 1549572*h**2 + 79911000*h - 567000000 = 0.\nAnswer: 42\/5, 72, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28857074 rounded to the nearest one hundred thousand?\nAnswer: -28900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(4*sqrt(6)))\/(sqrt(54)\/sqrt(3))*-2.\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 12*t - t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 24*l**2 - 96*l - 54. Let v be b(28). Let r = v - 384. Solve 9*w - r = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 78, 75, 68?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36820000 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 4*o - 6. Let h(p) be the third derivative of -p**4\/24 - p**3\/6 - 10*p**2. Give c(g) - 6*h(g).\nAnswer: -g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997204926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**5\/30 - d**4\/4 - 2*d**3\/3 + d**2 - 1. Let k(p) be the second derivative of q(p). What is r in k(r) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179758 is divided by 7811?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 7c6?\nAnswer: -7bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607281 is divided by 129?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/7 - 5934*l\/7 - 5932\/7 = 0.\nAnswer: -2966, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(-108 + 21 + 51) + 6 - 10 - 3)*(-h + 3*h + h + 2 + 2*h + 3 - 3 + (-4 + 2 + 0)*(0*h + 0*h - 2*h) - 2*h + 3*h - 3*h).\nAnswer: -553*h - 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2138 - -688. What is the units digit of s\/45 - (-1)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11696 - 2169. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5825 = -5*s + 2*o, -14*s - 4*o - 4648 = -18*s. List the prime factors of s.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 3}. What is prob of picking 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 - (7 - 10). Suppose 2*h - b - 133 = -g*h, 4*b + 19 = h. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 - 492*y - 484*y + 978*y + 281.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101667 (base 13) to base 14\nAnswer: -9a725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 1.6. Let c = -0.0429 - -5.0629. Let v = 0.02 - c. Do t and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, m: 10, t: 4}. Give prob of picking 2 i and 1 t.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 14. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 5*j + 6*j**2 + j**2 - 2*j**2. Let s be 4 - (0 - -2)*(-88)\/(-1). Let u = 168 + s. Give r(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2920 + -2640. Calculate the highest common factor of 160 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2064\/61 - 72473\/1830. Let g = -27927\/6490 + 76\/295. Find the common denominator of h and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 759\/592 + -7\/74. Suppose -3*p + 3 = 0, -4*n - 79 = -0*p + 5*p. What is the common denominator of (-5)\/30 + 85\/n and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**2*d*i*s - 339*c**2*d*i + c**2*d*s - 2*c - d - 2735*i*s wrt c?\nAnswer: 10*d*i*s - 678*d*i + 2*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7161.4 - 7161. What is the fourth smallest value in l, 2\/9, -32, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/56)\/((-48)\/(-8))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**6\/30 - j**4\/6 + 3*j - 3. Let g(c) be the first derivative of i(c). What is the third derivative of g(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15452 < -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49958818 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 10*r + 8. Let m be b(9). Let x = -27208.51 - -27207. What is the nearest to x in -4, m, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 226800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**5\/20 + l**4\/3 - 5*l**3\/2 - 9*l**2\/2 + 5*l. Calculate the remainder when c(-6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -26*r + 6. Let j be b(1). Let y be j\/25*-1*30. Calculate the highest common divisor of 96 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-1)\/1 - -3. Suppose 3*q = 5*p - 13 + 5, -q = 4*p - 20. Suppose -k + 4*i = -18, i + i + q = -j*k. Solve -k*g = g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + 4 - 0) + (7 - 1) + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -10 - (1 - 3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2. Let i(v) = -7*v**2 - 5*v + 2. Let u(z) = -2*i(z) - 18*m(z). Solve u(l) = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 76 = 3*j - 156, 2*j - 7*u + 158 = 564 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let r = 118 + -130.4. Let i = -9.4 - r. What is the fourth biggest value in i, 4, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 7*t + 100*t - 515 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -293569 and -0.2.\nAnswer: -293569.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -236 - -265?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 224021 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -1527097 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:34 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 482 + 7421. Calculate the remainder when c is divided by 155.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*g = 6490, 5*p - 6490 = -19*g + 24*g. Suppose l + 399 = -0*l. Let d = p + l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -20*i - 1. List the prime factors of l(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/18 (b) -1\/6 (c) 0 (d) -0.4 (e) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + k + 0 + (-1 + 6 - 4)*(8*k - 6 + 6) to the form c + f*k and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 4140 = 49*a. Suppose 35*r = 15*r + a. Solve -2*f + 4*f = 3*g - 5, r*f = -g + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2255\/(-22))\/5*(-45 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -27. What are the prime factors of -4 + 2 - k\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 16) to base 3\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19 - -6 - 12) + -8. Let -8*b - 5\/4*b**s - 69\/2*b**3 + 47\/4*b**4 + 32*b**2 + 0 = 0. Calculate b.\nAnswer: 0, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(8\/9)*n)\/n)**(1\/8)*n*n*n**(2\/5)*n*(n**24\/n)\/n*n assuming n is positive.\nAnswer: n**(9589\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1575)*3.\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2 + 798*z + 4824 = 0.\nAnswer: -6, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -273\/4 (b) 2 (c) -2950\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m**38)\/m)**(-12)\/(m**(-2\/113))**44 assuming m is positive.\nAnswer: m**(-54152\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*y + 5*y. Let o be ((-9)\/y - 0)\/(3\/8). Let c be (0 - (-316)\/8) + 1\/o. Calculate the highest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-6)*(-8)\/(-72)*9\/10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41990 divided by -5257\nAnswer: -41990\/5257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)\/(f\/f**(-2\/13)))**(-33)\/((f\/f**(-2\/5))**(-11))**43 assuming f is positive.\nAnswer: f**(8932\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 10*y + 17. Let z(s) = 4*s**2 - 12*s + 19. Determine 7*g(j) - 6*z(j).\nAnswer: -3*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529 = -4*y - 0*y + 465 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27438 divided by 37\nAnswer: 27438\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 50*q**2 - 7*q + 2. Let j(i) = -100*i**2 + 16*i - 5. Calculate -3*j(k) - 7*w(k).\nAnswer: -50*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/11 - 31080420*h\/11 + 31080421\/11.\nAnswer: -(h - 1)*(h + 31080421)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 12*l**2 + 7*l - 7. Let z be a(-4). Solve -5*q - 4 = -z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -413*d + 37066. Let v(f) = -5*f. Determine o(v(l)).\nAnswer: 2065*l + 37066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1449, -1385, -1239, -969, -533?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 + 69*c + 93. What is i(18)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvllllrlulcxc. Give prob of picking 2 l.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 489376 and 489378 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -721509*c**2. Let t(s) = -63*s**2. Give o(t(f)).\nAnswer: -2863669221*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16702, 33434, 50182, 66946?\nAnswer: 83726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (8 - 5) - -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91775976 and 245664.\nAnswer: 1101311712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 120 - ((4 - (15 - 1)) + 15)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17461 = -4*u + 5*r, -475*u = -473*u + 5*r - 8663. Calculate the highest common factor of 154 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 39.99876. Round u to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2578\/642 - 4)\/((-7)\/(-10) - 336\/(-2520))?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.676574059344 + 94.715612934244. Let q = r + -2.0390372849. Let k = 91 - q. Round k to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245617?\nAnswer: 23, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12401645.39 to the nearest 1000.\nAnswer: 12402000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*f**2 + f**3 - 256*f**2 + f**3 to i*f + z*f**2 + v + x*f**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1066 equal to -11662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 a factor of 560470140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/66 - (-48)\/22. Suppose 5 = a + t. Suppose 2*n + 3*z = 6*n - 10, -4*n = a*z + 2. Solve 5*b = -4*f + 7 - n, -2*b + 3*f = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/2*-3. Let b be (8 + -4)*n\/2. Let d be (b\/(-5))\/((-26)\/10). Are 1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 140453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h - 60560 + 34926 - 68923 = 0. Solve 6 = h*j - 2202*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/242136 and 77\/2736.\nAnswer: 484272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -900\/1699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2091, -4180, -6271, -8364, -10459?\n\"Answer: -u**2 - 2086*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82441*c + 11072 = 82614*c for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42856902 to the power of 1\/2, to the nearest integer?\nAnswer: 6547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + (21 - 3) + 3 + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1968 = 2*t, 3*d + 2*t = -0*t + 2967. What is the derivative of 988*s**2 + d*s**2 + 56 - 1975*s**2 - 38*s**3 wrt s?\nAnswer: -114*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 0.05. Which is the closest to 0? (a) -3 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 17)\/(9\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 62*o**3 + 3*o - 2. Let z be w(1). Suppose -25 = 58*q - z*q. Let t = 0.045 - 0.255. Put t, q, 4 in decreasing order.\nAnswer: q, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnrertqn. What is prob of sequence ce?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 7*x - 11. Let a(q) = q**2 - 7*q + 10. Let g(z) = -5*a(z) - 4*u(z). Let b be g(7). Let t = b - -11. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -39*f - 276. Let j be q(-7). Let w(o) = o**3 + 16*o**2 - 4. Let k be w(-16). Which is the closest to -7? (a) j (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(130) + (sqrt(130) - (sqrt(130) - (sqrt(130) - 1*sqrt(130))))*5)\/(sqrt(10) + (sqrt(1000)*-2 - sqrt(1000))))**2.\nAnswer: 325\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126307 (base 9) to base 11.\nAnswer: 52774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 275*t - 448. Let a be q(90). Factor -2\/5*w**3 + 0 + 0*w + 2\/5*w**5 + 0*w**a + 0*w**4.\nAnswer: 2*w**3*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*o + 8656 - 2157 = -58*o for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -s - 12, g = -4*s - 5 + 22. Suppose v - 5*v + 62 = 3*c, 24 = 2*v + g*c. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 + (58 - (52 - 8) - (-4 - -18))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7)**(-2\/51)*(h*h**(-15))\/(h**(-17)\/h) assuming h is positive.\nAnswer: h**(190\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37bb86 (base 12) in base 11?\nAnswer: 573502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15177 + 0.2.\nAnswer: 15177.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 903890 divided by 20?\nAnswer: 90389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-35) + 5340\/(-623)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 78*o - 1793. Let s be a(23). Is 15\/143 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(1248\/(-296)) - (-1 + -2). What is the fourth biggest value in -8, 1\/4, a, -1\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*((-3)\/30 - -1)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-134)\/8)\/((-7085)\/(-5668)) - ((-9)\/3 + -9)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 12214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 510000 and 7777500?\nAnswer: 31110000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2021185623\/130 + 15547662. Let o = r - 1188\/13. Find the common denominator of 105\/22 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**2 + 5*j - 32. Let v be a(4). Let u = v + -116. What is the fourth biggest value in -1, u, 3, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11630973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -117, -116, -105, -78, -29, 48, 159, 310?\n\"Answer: m**3 - m**2 - 3*m - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/52)\/(564\/(-4512)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -1\/3*h**3 + 0 - 4*h + 1\/10*h**5 - 2*h**2 + 1\/3*h**4. What is c in z(c) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3506.01 and 0.1?\nAnswer: -350.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17440)\/(-177888))\/(5\/(-2))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -3*x - 118. Let o = 161 - x. Put -1, 4, o, 5 in descending order.\nAnswer: 5, 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, p: 3, g: 2, b: 7, r: 1}. Give prob of picking 1 r and 3 n.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 20, -d = 5*o + d - 27. Suppose 1156 = o*c + 183. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and -1 - 3 - ((-18)\/(-4))\/(5\/(-3550))?\nAnswer: 15955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 35*q - 2279. What is z(-68)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 4*c - 1405 = -811 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46107915127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -167? (a) -0.5 (b) -1.1 (c) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*j = 141*j + 168. What is the highest common divisor of j and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4234*a**2 + 16934*a + 5. Give z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 - 4*w - 2. Let a(f) = -7*f**2 + 59*f + 4. Determine -6*a(h) - 13*x(h).\nAnswer: -10*h**2 - 302*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/16)\/((-2)\/(-8)). Let t = 149 + -153. Which is the fourth smallest value? (a) z (b) -1\/2 (c) 3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -362 + 362. Let g be 0 + 5 - (14 - j). Sort 0.4, 0.5, 5, g.\nAnswer: g, 0.4, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23212110 (base 4) to base 13\nAnswer: 18816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25837 + 25838. Put 4, -0.3, s, 3\/2, -41\/2 in decreasing order.\nAnswer: 4, 3\/2, s, -0.3, -41\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20186, 80796, 181816, 323246, 505086, 727336?\nAnswer: 989996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7097 + 19734. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0 + 0*l**5 + 7\/60*l**6 + 0*l + 17\/24*l**4 + 0*l**3 + 18*l**2. Find the second derivative of v(i) wrt i.\nAnswer: 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032221 (base 4) in base 10?\nAnswer: -5033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*f**3 - 288678*f**2 - f - 155323670?\nAnswer: -24*f**2 - 577356*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 4:53 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14708 is divided by 241.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + v + 6*v + (1 + 1 - 4)*(-v - 3*v + 6*v) + (-2 - 1 + 4)*(-v - 4*v + 7*v) + 83 - 17*v - 83 - 2*v + 5*v - 2*v + 3*v - 2 + 0*v - v.\nAnswer: -11*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354576847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 96. Suppose -4*s - 9 = m*h, 5*s = s + h + 21. Solve 2 = -3*t - s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -410 and 27.\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = m. Let w = 40 + -49. Let p be ((-3)\/w)\/(m\/48). Solve -2*u = j + p, -2*u + j = -j + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2042*y - 509*y - 199*y + 2480*y.\nAnswer: 3814*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5334 - 5331. Which is the fourth biggest value? (a) y (b) -0.4 (c) 1\/4 (d) -3 (e) -16\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 7. Calculate the highest common divisor of y and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 4*-1*sqrt(19)*-6)*-2)**2.\nAnswer: -960*sqrt(19) + 43876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -5*z**4\/6 - 27*z + 10. Let n(u) = 2*u**2 + 363. Give n(x(w)).\nAnswer: 200*w**4 + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3 = 0, 18*z = -4*v + 16*z - 99 + 17 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -7, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * 6.55\nAnswer: 0.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 24*v**2 - 134*v + 98. Let q be f(16). Solve 4*x**3 + 76\/3*x**q - 272\/3*x + 48 = 0 for x.\nAnswer: -9, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 50. Let o be ((-16)\/(-40))\/(g\/5). Solve 4*m - 13 = 5*h - 0, -o*h + 5 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1) + 14\/10. Let s = 13 - 11. What is o in -h*o**s + 2\/5 + 0*o = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278680 is divided by 1356?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:13 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2081 divided by 47474\nAnswer: 2081\/47474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/80 + c**4\/4 + 33*c**3\/8 - 11*c**2 - 4*c. Determine f, given that z(f) = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.89208 micrometers in millimeters?\nAnswer: 0.09489208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*w - 1147753 + 1147333 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, s: 4, l: 8, j: 6}. Give prob of picking 1 s and 1 i.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 4*b**3 + 2*b**3 + 0*b**4 + b - 4*b**2 - b**4 in the form u*b + a*b**4 + h*b**2 + w + x*b**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = -7*y. Suppose 3*v - 3 - 3 = y. Are v and -0.06 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8745000 rounded to the nearest 100000?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 275957 and -0.1.\nAnswer: -27595.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 66625?\nAnswer: 5396625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183370.\nAnswer: 2, 5, 17, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2 - 10*g - 17. What is the hundreds digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3856007 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2627 is divided by 188?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 11. Let t(n) = n**2 + n. Let l be t(m). Find the third derivative of 3*c**5 + c**2 - l*c**5 + 2*c**2 wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 335 = -35*s. Solve 35 - s = 4*q + 3*y, -3*y + 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*y**3*z**3 - 6*y**3*z**2 - y**2*z + 2*y*z**3 - z**2 wrt y.\nAnswer: 960*z**3 - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -57*o + 61*o. Suppose -2*j = -2, -o*k + 5*k + 3*j = -672. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1732, 3298, 4708, 5962, 7060, 8002, 8788?\n\"Answer: -78*z**2 + 1800*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-94)\/(-4) + (-162)\/108 and (14\/(-5))\/(2\/(-10)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 3*f - 75, 2*t + 80 = 3*f. Find the common denominator of f and 105\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 2*g - 16, -g + 3*x = 7. Suppose 4*t - g*a = 90 + 10, -5*t + 4*a = -125. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 1290*i + 9128.\nAnswer: -2*(i - 652)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 4\/45*b**5 - 1\/27*b**6 + 52 - 1\/18*b**4 + 0*b + 0*b**2 + 0*b**3. Let z(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 3:44 AM?\nAnswer: 695","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-14)*(-130)\/39\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.7383359 and 0.3.\nAnswer: 5.02150077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -9\/28*b**8 - b**4 + 0*b**7 + 0*b**5 + 0*b**6 + 0 - 6*b + 0*b**3 + 0*b**2. Find the third derivative of r(d) wrt d.\nAnswer: -2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 6*h + 12. Let j be o(6). Suppose 0 = -2*r - 4*r + j. Calculate the lowest common multiple of 18 and r.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 52075499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from hhsll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 - 184. Let s = h + 89. Let g be ((-40)\/s)\/((-2)\/32). Calculate the highest common factor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:38 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {s: 2, d: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -3, -1\/5, -9.\nAnswer: -9, -3, -1\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c + 1386 - 1378 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - ((15 - (25 - 6)) + (-9 - -4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -y - 132, -5*x + 2*x + 5*y + 396 = 0. Solve 31*o - x = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2 - 8 = -2*o, -3*o = c - 26. Let j = 8 - o. Suppose j = 2*s - 5*s + 24. What is the remainder when 13 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 + 14 = 0. Suppose 0 = -4*x + g - 56, -61 - 9 = 5*x - 4*g. List the prime factors of f\/20*(-2 - x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011990894 to 6 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*g**2 - 654 + 654 + (-13*g + 10*g - 17*g + (1 + 8 - 3)*(2*g + 0 + 0))*(-3*g + 3*g - 2*g).\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06218, 13\/9, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -144*j**3 - 5116*j**2 + 2440*j - 288 = 0.\nAnswer: -36, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 75 + 102 - 98 + 46. Determine m(37).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46441 - 22925. Let l = -517257\/22 + r. Let s = 735 + -11743\/16. What is the common denominator of s and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(q + 2*q - 6*q)*(-3*q + 8*q + 3*q).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 21 = a, -1830615*p = -1830614*p - 21*a + 57 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447, 3512, 11815, 27978, 54623, 94372, 149847, 223670?\nAnswer: 318463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 3.586, -5994, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 4\/7 (b) 2190 (c) 1\/7 (d) 31\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 49\/2 (c) -1\/3 (d) 5 (e) 1280\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8693963, -34775794, -78245513, -139103120, -217348615?\n\"Answer: -8693944*z**2 + z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 2, -63 in descending order.\nAnswer: 2, -2, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10108820 to the power of 1\/2, to the nearest integer?\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p - 1061. Let f be u(76). Suppose -13 = -2*c - 4*x - 43, -5*c + 5*x = 30. Let l = -7 - c. Solve -l*q = 7 + f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-9)*1\/(-8)*-8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/144 + 0 - (-43)\/(-186). Sort -5, -1, 5\/4, z in decreasing order.\nAnswer: 5\/4, z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l)*(-3 - 4*l - 3 + 7).\nAnswer: -4*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544 (base 8) to base 6.\nAnswer: -1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3311\/20960 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 4*w**4 - 2*w**4 + (0 + 0 - 2*w**4)*(-2 + 0 + 0) - w**4 + w**4 + 3*w**4 - 3*w**4 + w**4 + w**4 + 69*w - 34*w**4 - 69*w.\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311 - 310. Let k = -17 + 152\/9. Let i = -11\/2 + 6. Put 4, i, k, r in decreasing order.\nAnswer: 4, r, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220120 (base 3) in base 13?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b13 + 5?\nAnswer: 14b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.235+4\nAnswer: 4.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 33\/20*a**5 + 0*a**4 + 13*a + 0 + 0*a**2 - 1\/6*a**3. Is s(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16739339, -16739369, -16739399?\n\"Answer: -30*a - 16739309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 321 = -8*z + 313, 0 = -13*z - 5*y - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, -0.1, -3, 6\/11, 152, 0, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.028 - 4.628. Let s = f + 7.3. Let c = -3 + s. What is the nearest to -1 in -0.5, c, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2082*w - 2082*w + 126*w**2)*(-4 + 0 + 2) to the form l*w + i + o*w**2 and give o.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-326)\/978)\/((-3)\/((-189)\/(-15)))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5649.12396 - 0.12396. Let o = q - 5648.86972. Let k = -0.13 + o. Round k to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15 - (-4)\/(-35).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -35*u**4 - 3175*u**3 + 7420*u**2 - 1860*u = 0.\nAnswer: -93, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6397*i - 15116 + 30237 - 15121 in the form b + v*i and give v.\nAnswer: -6397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f + 4*d - 4, d = 0. Solve 3 = -n + f*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 2a69b?\nAnswer: 2a6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4807456 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12890790, -12890764, -12890738, -12890712, -12890686?\nAnswer: -12890660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 + -2)*(-4)\/8. Calculate the remainder when (2 + (-4)\/3)*3 is divided by n\/(15\/2)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8037 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 116? (a) -0.3 (b) 0 (c) 225 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(11))*3 - (sqrt(275)*-1 + 4).\nAnswer: -16 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 107779?\nAnswer: -1\/15397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -208 and 9.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 271*d**3 + 1935*d**2 - 3053*d + 1390.\nAnswer: -(d - 5)*(d - 1)**2*(d + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*a**3 + 1 + (-8*a + 0*a + 2*a)*(-6*a**2 + 9*a**2 - 4*a**2) - a**3 + 2*a**3 - 3*a**3 to the form f*a**2 + w + x*a + y*a**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1728))\/sqrt(4)*-2)\/(sqrt(2646)\/sqrt(9) + sqrt(96) + ((3*sqrt(96) + sqrt(96) - sqrt(96)) + sqrt(96) - sqrt(96))))**2*6.\nAnswer: 1728\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6725 = 55*j + 7055 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, 221, 753, 1379, 2129, 3033, 4121?\nAnswer: 5423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 2*n**2 + 7*n - 2*n - 3*n - 4*n**3 in the form i + s*n**2 + p*n**3 + l*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1353, 0.3, -2, 0.5.\nAnswer: -2, -0.1353, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 4, w: 1}. What is prob of picking 1 w and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 262 = -639 + 281 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 21*u**3 + 143*u**2 + 1265*u + 9053. Calculate m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + -12)*(-1)\/(-3)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 5*o + 5*o - 3*o + 2*o.\nAnswer: -o + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(152)*-1)\/((sqrt(648) + (sqrt(648) + (sqrt(648) - (sqrt(648) - 3*sqrt(648))) - sqrt(648)))*-5 - sqrt(648)).\nAnswer: -4*sqrt(19)\/189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1401434*-3\nAnswer: -4204302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 t when three letters picked without replacement from ypypeeppt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1843, 1845, 1849, 1855, 1863, 1873?\nAnswer: 1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (284 - 284 + 26*d)*(-3*d + 4*d - 3 + 0*d).\nAnswer: 26*d**2 - 78*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10986?\nAnswer: 2, 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3733, 14867, 33385, 59263, 92477, 133003, 180817, 235895?\nAnswer: 298213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*f**2 + 86*f**2 - 259*f**2 + 84*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -913, -3766, -8547, -15250, -23869, -34398, -46831?\nAnswer: -61162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 1. Let h be v(-3). Let i(t) = 97*t**3 + t**2 - 1. Let f be i(1). Suppose -4*n - f = -5*l - 7*n, h*l = n + 81. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12772?\nAnswer: 2, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1. Let p(a) = 2*a - 10. Let f be p(7). Let b(h) = -2 + 3*h**2 + h**f - 3*h**2. Let j(s) = 4*b(s) + 9*r(s). Find the first derivative of j(u) wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021102 - -12?\nAnswer: -2021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 - 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 53. Let c be 0\/36 - (102 - 1). Let a = -68 - c. Calculate the remainder when a is divided by z(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 4\/6*-3. Suppose -3*a = 5*g - g - 40, -2*g - 10 = -a. Let i be ((-3)\/(-2))\/(9\/a). Sort i, -1, -11, z.\nAnswer: -11, -1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 + 0.03. Let n = -2.4 - -2.6. Let u = 154\/3 + -464\/9. Which is the closest to r? (a) n (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248 - -0.1.\nAnswer: -247.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13715598*o + 4571882*o + 4571837*o + 4571881*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/70)\/((-20)\/(-14))*5. Factor -a*r**2 + 0*r + 3*r + r + 2 - 4.\nAnswer: -2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 58 = 4*d + 65, -3*d + p + 3 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -23. Which is bigger: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.313 - -1.687. Which is the nearest to -0.26? (a) 1 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.8 take away -1.46?\nAnswer: 105.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/((((h*h\/h**4)\/h)\/h)\/h)*h\/((h*h**(-13)*h)\/h*h)*h*(h**(-8))**(-18\/7) assuming h is positive.\nAnswer: h**(284\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 + -71. 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: Let f(a) be the first derivative of -2*a**3\/3 - 7*a**2\/2 - 4. Let y(k) = -19*k**2 - 21*k**2 - 16*k**2 + 57*k**2. Calculate y(f(b)).\nAnswer: 4*b**4 + 28*b**3 + 49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 166, 195, 224?\n\"Answer: 29*f + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-3 - 105\/(-20)). Let s = -0.1 + 0.1. Sort s, y, -3.\nAnswer: -3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*v - 84 = 0, -4*p + 2*v = -0*v - 106. What is the highest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 202. Let x(l) be the second derivative of l**4\/12 + 37*l + 2. Calculate g(x(t)).\nAnswer: 2*t**2 - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 11 = -2*c + 9*x, -37 = -4*c - 5*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16653.90613 - -16654. What is o rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d + 209. Let y be t(26). Is -43*(-1)\/(-2)*-32*y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -17750*c + 35499*c - 17742*c. Let f = -13 + 16. Let u(h) = 0*h**2 + h**2 + f*h**2. Give j(u(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x + 9. Let j = x + 14. Suppose -9*p = -j*p - 104. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 11 - 129. Let d be 17\/4 + 5\/v. Suppose -2*s - d*y - 1 = -s, 5*s + y - 52 = 0. What is the highest common factor of s and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-3) - 0\/(-2). Let r = t - -5. Find the third derivative of 7*p**2 - r*p**2 - 2*p**5 + 0*p**5 - 2*p**2 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3944?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r**2 + 2*r + 15. Let w be t(0). Let b be 0 - (0 + -5 + 2). Solve -2*d = b*d + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 1768 = -1714 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2 - 7*d - 38. Give i(-6).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 688269928*h**2 - 670*h - 95941 wrt h?\nAnswer: 1376539856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8735, -8668, -8539, -8342, -8071, -7720, -7283?\nAnswer: -6754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -16, -2 in decreasing order.\nAnswer: 2, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917068?\nAnswer: 2, 229267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120100 + 1?\nAnswer: 11120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-20)*b)\/b))\/((b*b*b\/(b\/(b\/b**(9\/7))))\/b*b) assuming b is positive.\nAnswer: b**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 218 from -0.16.\nAnswer: -218.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 18*v**2 - 32*v - 8. Give x(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2922 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17647, 17646, 17645?\n\"Answer: -c + 17648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6599429692 - 3.\nAnswer: -6599429695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/(-30))\/(3\/10). Calculate the remainder when 33 is divided by (15\/6 + u)*-8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 25*u**3 - 36*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10934?\nAnswer: 2, 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 930*n**3 - 12820*n**2 - 930*n + 12825 = 0. Calculate n.\nAnswer: -1, 1, 15, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364*z + 603*z - 5802 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/2676779 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*j + 2274 = 667 - 486 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 8}. Give prob of picking 4 n.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 12*r - 3. Let s(m) = -m + 1. Let h be s(-2). Suppose -4*o = 5*f - 91, -h*f + 4*f + 1 = 4*o. What is the remainder when g(8) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1941.7741 + -1942. Let w = 0.3532 + i. Let b = w - 0.126731. What is b rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.812809859 - 2.1\nAnswer: -32.912809859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4199792 or -4199764?\nAnswer: -4199764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 22 = w - 13, -4*w + 2*l + 134 = 0. What is the greatest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445 - 400 + 69*s - 32*s - 39*s.\nAnswer: -2*s - 845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let h(b) = 12*b. Let v(d) = -3*d + 6*d - 2*d. Let t be 2*(-3)\/12*-2. Let a(z) = t*h(z) - 16*v(z). Calculate y(a(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1279*g**5 - 220*g**4 - 2*g**3 + 22*g**2 + 48946*g - 2 wrt g.\nAnswer: 76740*g**2 - 5280*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 6:22 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -23 + 113. Solve -c = 5*n + 12 + 13, -3*n - l = 3*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1275\/68*(-4)\/10*(-88)\/(-55).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -4a?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 - 5*g**2 - 19*g**2 + (4 - 2 - 14)*(-2*g**2 - g**2 + 4*g**2) + (14*g + 3*g - 5*g)*(-1 - g + 1) as w + l*g + u*g**2 and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) + (-48)\/(-21). Solve 0 = -l - 1 - s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 - 9.4. Let y = 6.900033 + s. Round y to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1099 - -1153. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2760\/450*30)\/(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 206 = 2*g, 3*b - 4*g + 142 = -0*b. Let m = 84 + b. Suppose -3*c = -r + m, 0*r - 3*c + 12 = r. Calculate the remainder when 61 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.9298um to kilometers.\nAnswer: 0.0000000759298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krrc when four letters picked without replacement from {s: 2, r: 8, c: 3, k: 6}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 + -0.4. Let f = 32.49 + -0.49. Let a = f - 30. What is the nearest to 1\/8 in a, m, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2058 to 3 dps.\nAnswer: -0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*y - 18540, 0 = 4*h + 4*y + 3257 + 11559. Which is smaller: 1\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/5, 2\/9, -172?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 28. Let f be (-20)\/(-6) + (-2)\/(-3). Solve 3 = -f*m - r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1104 times 0.3\nAnswer: -331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 7*m + 24. Suppose 0 = -o - o + 8. Let s = o + m. Is -1\/4 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67\/4 + 327\/20. Let t be (-15)\/(-50)*4\/3. Is t smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**0)\/z)\/z)\/z)**(2\/19)*(((z**(-1\/3)*z)\/z)\/z)**10*(z**10\/(z*z\/(z*z**2)*z))**(-12\/5) assuming z is positive.\nAnswer: z**(-2140\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (19 - -2) + -10.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 24 + 3 = 0. Suppose 2 = s - p. Let f(a) = a**3 + 17*a**2 + a + 22. Calculate the smallest common multiple of s and f(-17).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (10 - (11 + -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 3*i - 2*i - 7*i + 2*i + 3*i + 0*i + 0*i - i + 1 - 1 + 2*i - 2*i + 1 - 1 + (1 - 1 + 1)*(i + i - 3*i) + 0 + 0 - i - i + 2 - 2 + 3*i - i - 4 + 6.\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(-190)\/19. Which is the nearest to -0.1? (a) -4 (b) d (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 15 = 5. Suppose 3 = 2*i - 1. Let r = i - u. What is the greatest common factor of r and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192906 divided by -3\nAnswer: 64302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - i**2 - i - 1. Let d be q(-1). Suppose -21 = -3*b - d. Suppose b*x - 9 = 4*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 2. Let q(b) = -b - 1. Determine 2*q(r) + 2*x(r).\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220443, -440810, -661177?\nAnswer: -881544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3866 + -1663. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 6. Let v(k) = -5*k - 14. Let x(y) = -7*a(y) - 3*v(y). Let n(u) = -5*u. Determine 6*n(c) + 26*x(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/360 and 111\/200?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 58, 83, 108, 133, 158?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4503 - 581 + 7169)*(-4*r**3 + r - r + 2*r + 1 - 2*r**2) in the form s*r + z + v*r**3 + k*r**2 and give s.\nAnswer: 22182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004748 rounded to 6 dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -284580987\/13 bigger than -21890845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*-1*sqrt(27))\/sqrt(9).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -14*k + 4*k - 10*k + 12*k**2 - 5 + 28. What is the first derivative of g(y) wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24*5\/(-210))\/(16\/(-4))*17\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 12*l + 1. Let g be x(-12). Factor -3*h + 15*h - h - 4 - g - 2*h**2.\nAnswer: -(h - 5)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = j - 59. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3011, 4006, 4999, 5990, 6979?\nAnswer: 7966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 11) + -1390 + 1366.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2153 + 3590. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 315, 622, 925, 1224, 1519, 1810?\n\"Answer: -2*c**2 + 313*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Let s = -4 + 2. Let q(r) = -10*r - 13. Let l(d) = s*q(d) + 22*a(d). Give l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + 16\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/17264 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 divided by -202?\nAnswer: -1205\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -40931 at most as big as -40938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 411.5 and -0.06.\nAnswer: -24.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - 3*r - 4. Let g be u(4). Let n be (g\/(-5))\/((-2)\/(-500)). Round n to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 820, 828, 842, 862, 888?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1267 and 11257.8?\nAnswer: -1426.36326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381.2 + -386.2. Which is the smallest value? (a) n (b) 0.5 (c) 33\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 58624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 - -230. Suppose -h = -z + w, 4*z - 79 - 17 = 5*w. What is the least common multiple of z and 6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1956675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x - 28. Let u(i) = -15*i + 85. Give -7*o(b) - 2*u(b).\nAnswer: -5*b + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d**3. Let f(b) = -91*b**3. What is -3*f(i) - 28*y(i)?\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(32)*-6 - (2*(0 + sqrt(2)) - sqrt(2))) - ((-1 + sqrt(128))**2 - sqrt(128) - (-3 + sqrt(242) - sqrt(242))**2).\nAnswer: -120 - 76*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2, -0.06, -0.4, 13, -1\/4, -35\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59525, 59526, 59527, 59528?\nAnswer: 59529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a + 2. Let c be f(-3). Let n = -27 - c. Let b(l) = 16*l + 7. What is the tens digit of b(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1328450.999978 + -1328462. Let q = h + 11. Round q to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*w + 785 - 904 = 0, 64*w = 2*n - 406 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from gtttggggggtt.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/5 (c) -606\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5\/6)\/((j\/j**(-2\/41))\/j) assuming j is positive.\nAnswer: j**(-217\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*j + 2661411 + 2068170 = 0. What are the prime factors of j?\nAnswer: 18121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 141, 314, 557, 870?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 3*t**2 - 3 + t - 2*t + 2*t**3. Let y be o(-3). Solve y = -5*i + 3*c - 34, -c = -3*i + 8*i + 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*d - 11, -5*d - 2*p + 41 = -0*p. Suppose -d*j = -3*j - 24. Suppose -j*s + 100 = -s. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = -4*n. Let z(c) = -c**3 - 2*c**2 + c + 2. What is z(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -1c6?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 14*k**2 + 10*k - 11. Let x be s(-13). Let a(b) = 7 + x*b + b**2 - 12*b - 12*b. Calculate a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*y = -9, 0 = 5*o - 4*y + 5 + 10. Let w(i) = -i**3 - 2*i**2 + 3*i - 1. Let c be w(o). Sort -2, 1, c in ascending order.\nAnswer: -2, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -939*o**3 - 345 - 4*o + 6*o - o**4 + 941*o**3 as q*o**2 + w*o**4 + y*o**3 + h + n*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 128950181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 6 - 4 = -2*l, 5*l = 4*a - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231710998 divided by -5.\nAnswer: 231710998\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-315) + (-248)\/(-42). Let d be 5 - 3 - (-7 + u + 3). Solve -2\/7 + d*x + 2\/7*x**2 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154 + (-77 - 67) + 65?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22828)\/(-4823) + -1*5. Let d = p - 1\/53. Put -2, 4, d, 0.1 in descending order.\nAnswer: 4, 0.1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38439089 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201\/7 - 6\/(-21) is divided by (0 + 5 + (-4)\/1)*(7 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -63, -69, -89, -129?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10352 - 41?\nAnswer: 10311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -121*t**7\/1260 + 11*t**6\/18 - 13*t**5\/15 - 10*t**4\/9 - 4*t**3\/9 - 66*t**2. Find o such that k(o) = 0.\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-3) + (188 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 77*n - 42. Suppose 3*j + h = -128, 0*j - 3*h = -5*j - 204. Let o(g) = g - 1. Give j*o(z) + p(z).\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(2*sqrt(99)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67, -283, -659, -1207, -1939, -2867, -4003?\n\"Answer: -2*d**3 - 68*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 9*y**2 - y - 8. Let u be j(-9). Let t(k) = -k**3 + 8*k**2 - k - 1. Let g be t(8). Is u\/((-3)\/g) - -12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 6654 + 3331 + 3273 = z, 2*z + 3*j = -40 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y - 5*s - 5, -5*y + 4*s + 2 = 0. Let g(v) = -v**2 - v + 2. Let l be g(y). Suppose l = 13*j - 3088 + 176. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 14934.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1768 + -393. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from acacc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -119.9 and 60695.6.\nAnswer: 60575.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, i: 7}. What is prob of sequence oiio?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4)\/3 - (-31486)\/3633?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 - 32*j - 25. Let h be s(9). What is the greatest common divisor of h and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10191?\nAnswer: 3, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-18) + (-11600)\/(-7200).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 11*o**2 - 16*o + 11. Let n be v(7). Suppose n*r - 99*r = 178800000. What is r rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -17. Let z(l) = 12*l + 4 + 10*l + 8*l - 21*l. Calculate the remainder when 146 is divided by z(n).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4376368 - 19?\nAnswer: 4376349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2, 2*h = -2*t + 5*h - 54. Let v = 28 + t. Solve -4*p + v*b + 1 = 17, b = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 - 82 - 81 - -97.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 4) to base 7.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 4*w - w)*(-3 + 1 + 1)*(-1 - 8 - 1) as d + c*w and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1331) + -1 + sqrt(1331) - (sqrt(539) - (0 + sqrt(539))**2) - (1 + sqrt(539))*-5).\nAnswer: -2715 - 250*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 700, 756, 834, 946, 1104, 1320, 1606, 1974?\n\"Answer: 2*a**3 - a**2 + 45*a + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -2*v**3\/3 + 208. Let x(r) = r**2 - 23*r. Determine x(k(o)).\nAnswer: 4*o**4 + 46*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4379, 4380, 4381, 4382, 4383?\n\"Answer: n + 4378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -801 + c?\nAnswer: -7c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22112211000110 + -1022?\nAnswer: 22112210222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5268734354 to 5 decimal places.\nAnswer: -0.52687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84572078.\nAnswer: 2, 19, 2225581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 1. Let n be s(1). Suppose g = -4*j + 675, -2*g + 2742 = 2*g - n*j. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - d**2)*(4*d**3 + 2*d**3 - 3*d**3 + (d - 3*d + 3*d)*(3 - 3 + 2*d**2)).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = l - 6*l + 21, 3*f = 2*l - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15827 - 14669. Sort 0, g, -1.\nAnswer: -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-17))\/y**(-6\/19))\/((y**(-1\/3)\/y)\/y*y\/(y\/(y**18*y*y*y)*y)) assuming y is positive.\nAnswer: y**(-1901\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14644*i**3 - 29988*i**3 + 15032*i**3.\nAnswer: -312*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -504.2 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -57504*a + 2127531. What is m(37)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a**2 - a - 11. Give g(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -184504?\nAnswer: -1476032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.419 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486908605 a multiple of 9461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000270126 to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7. Let l = -32 - -354\/11. Put 5, l, i in decreasing order.\nAnswer: 5, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 4:42 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - r - 212 = 179. Let c(h) = -2*h + 13. Determine c(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*o**2 - 128*o**2 + 259*o**2 - 4*o**3 + 0*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 998428 + -1006540.22. Let s = k - -8307.3132. Let m = s + -195. Round m to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 68892559.\nAnswer: 68892559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 1\/48 (c) -9 (d) 1 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2223)\/(-36))\/(-13) - (-1 - 3). Which is the biggest value? (a) n (b) 2 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + -7)\/(-30))\/(4\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/3 - 8)*1. Is 2 - (448\/r + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than -7.3442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -17*h**3\/6 + 2609*h. Let y(p) = -3*p - 24. Give y(j(z)).\nAnswer: 51*z - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27126 and 1422060?\nAnswer: 46927980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5666?\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**4 - 4371*z**3 + 10887*z**2 + 2196*z - 13068 = 0. What is z?\nAnswer: -1, 3\/2, 2, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 145?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/4 + 64. Let a(m) = m. Suppose -5*v + 6 = -4. Suppose v*g - 8 = 5*r, -5*g + r = 7 - 4. Give g*b(t) - 3*a(t).\nAnswer: -t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hef when three letters picked without replacement from {u: 1, e: 2, x: 1, f: 2, p: 1, h: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(60\/(-5))*(-9)\/378.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2 - 20*w - 53. Let q(y) = 6*y**2 + 20*y + 54. Let s = 34 - 31. Let o(i) = s*q(i) + 4*d(i). Factor o(b).\nAnswer: -2*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lul when three letters picked without replacement from {x: 4, u: 3, l: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - 15.7. Let q = r - -14. Let j = 3 + -1. Which is bigger: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5919450?\nAnswer: 2, 3, 5, 19, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 86005?\nAnswer: -26\/86005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6216.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 7*d + 2. Let j be n(7). Suppose 5*c - 3 = j. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.57 from -2335.9.\nAnswer: -2332.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59938 by -215.\nAnswer: -59938\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(3224\/78))\/(-2*2\/(-64))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.01032 + -0.01032. Which is bigger: -10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 1820 - j**3 + 2927 - j**3 - j**2 + 0*j**2 as m*j**2 + h + x*j**3 + f*j and give h.\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 21*u - 76 + 686 - 46 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -674*j**3 - 999*j**3 + 514*j**3.\nAnswer: -1159*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2805 = 6*b - b. Suppose 2*x - x = b. Suppose 3*i = 4*s - 0*i - 559, -4*s + 5*i + x = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 * -50\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6358 + -6360. Which is the third biggest value? (a) 1 (b) -16 (c) y (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -966 - -974. What is the least common multiple of z and 92?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k + 123*k + 637 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 7*o**3\/6 - 7*o**2\/2 + 35*o. Let q(c) = -6*c + 6. Give -4*i(w) - 5*q(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 18*r**2 - 26*r - 109. Let a be c(16). Let m be ((-54)\/2)\/((-3)\/2). Let p = a + m. Is p >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 21*l + 62. Let w be a(-2). Solve -w = -3*y - 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 90aa83?\nAnswer: 90aa85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1. Let s(m) be the first derivative of -25*m**2\/2 + 25*m + 1788. Give -s(n) + 25*u(n).\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10538*x - 480 = 10778*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 1498?\nAnswer: 10486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -1\/60*i**5 - 5\/6*i**3 + 0 + 0*i - 1\/4*i**4 - 13*i**2. What is b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 1754?\nAnswer: 15786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (5 - (5 + -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 14*h + 7. Let n be s(14). Let m = 9 - n. Suppose m = a + 1. Solve -3 = 4*b + a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 865767 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000393394 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032 less than -40365?\nAnswer: -40365.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4\/4 + 4*m**3\/3 + 15*m**2\/2 - 13*m - 2377. What is x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4 - 4158*l**3 + 2150316*l**2 - 491378370*l + 41822080209 = 0.\nAnswer: 273, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 5*o - 11. Let f be c(-7). Suppose 3*k + h = 8 - 2, 4*k + 5*h + f = 0. Suppose 2*t - 10 = 0, -4*t = s - k*s + 68. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*s - 8295, -2*y + 3835 = 4*s + 525. Let a(m) = -13*m**3 - 6*m**2 + 4*m - 2. Let c be a(4). Let f = y + c. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 738 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**6\/12 - l**5\/4 + 5*l**4\/2 - 35*l**3\/6 + 25*l**2\/4 - 92*l. Factor m(a).\nAnswer: -5*(a - 1)**3*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34761 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9021 + 278?\nAnswer: 9299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40220 is divided by 54.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -2. Calculate the remainder when 80 is divided by (f - -42)\/(9\/6)*1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29469\/4 or -7368?\nAnswer: -29469\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -43. Let x(j) = -j**3 + 17*j**2 + 3*j - 33. Calculate the remainder when x(b) is divided by 54\/10 - 4\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 n, and 2 y when four letters picked without replacement from yqnyniqqeeqoqqe.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-6) + 1)*(-714)\/238\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 683*a - 549*a - 139*a - 190. Let s(o) = -3*o**2. Determine s(j(t)).\nAnswer: -75*t**2 - 5700*t - 108300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2701423518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127225176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-5)\/10 + 2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/4 - 159*a\/4 - 149\/2.\nAnswer: -(a + 2)*(5*a + 149)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-11\/5) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 31.5. Sort -5, l, -3\/8, 0 in ascending order.\nAnswer: -5, -3\/8, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25281 and -5?\nAnswer: 126405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from kqlrilikivikilk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from pnbvtppppvbppppbvcn.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 3*m - 9. Let l be h(-3). Let b be -1 + -3 + 8 + l. Let g(v) = -v**2 - 2*v - 3. Calculate g(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2320 and 9200.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 + 8*v**2 + 2*v + 12. What is z(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 3. Let u(g) = g**2 + 2*g - 141. Calculate u(q(s)).\nAnswer: 4*s**2 + 8*s - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*(-6)\/(-4). Let r(k) = j + 10*k + 0 + k**2 - 1. Let l be 10*-2*(-5)\/(-40)*(4 + 0). Give r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08516 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:54 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11525544 (base 7) to base 3.\nAnswer: 1221102200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 50098?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 19. What is y(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/5*-55*(28\/(-8))\/7\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 v when three letters picked without replacement from {v: 9, r: 9}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2858 (b) -0.2 (c) -6528 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-330) + 916\/330 + -3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1918*g - 2 + 70*g**2 - 1918*g - 78*g**2.\nAnswer: -8*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 29024280 to the nearest 1000.\nAnswer: 29024000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.3409509.\nAnswer: 5.3409509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 18*q + 58. Let z(i) = -105 - 131 + 177 - 18*i. Let r(x) = 2*y(x) + 3*z(x). What is the units digit of r(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**3 + 9627*k**2\/7 - 465399*k\/7 - 735075\/7.\nAnswer: -(k - 99)**2*(49*k + 75)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*c**2 + 200*c**2 - 143*c**2.\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*a - 6 = 0, 4*y - 4*a - 14 = 7*y. What is the biggest value in y, -3, 6\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v. Suppose 9*m - 183 - 114 = 0. Suppose 5*a + 3 = -2*g, 5*g = 5*a - m + 8. Give f(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:47 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w + 8. Let k be (3 - w)*12\/10. What is the second derivative of 3*z**3 + 6 - k - z wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207292239 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -108644?\nAnswer: -8691.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -59417002 > -59417001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006268 rounded to 7 dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - m**4)*((4 - 4 + 2*m)*(-2 + 5 - 2) - m + m + m + (-2 - 2 + 3)*(221 - 21*m - 221)*(-3 + 5 + 1)).\nAnswer: -66*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7373915 and 0.\nAnswer: -7373915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/10 and 22\/1715?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 27*f + 279. Determine a(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -283.8 + 283.86. Let k(h) = -21*h + 1. Let q be k(-1). Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(108)*2)\/sqrt(4))\/(3*sqrt(1296) + sqrt(720)\/sqrt(5)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 887135 to the power of 1\/2, to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*r**2 + 3*r - 12*r - 44 + 9*r wrt r?\nAnswer: -38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (144\/(-720))\/((-1)\/2). What is the smallest value in -1, -76, z?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m = 1145. Let d be (m - -7) + 0 + 0. Suppose -4*f = 2*t + d, 4*f + 228 = 2*t - 16. What is f rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/6)\/(7336\/(-6288)) + (-2974)\/186.\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11133 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from {u: 8, t: 2, o: 2, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -10658\/7*x + 0 - 292\/7*x**2 - 2\/7*x**3 = 0?\nAnswer: -73, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 2*k - 1. Let b be a(-1). Suppose -4*c - 4 = -8. Does b = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31500067889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 5*p**2 + 13*p**2)*(p - p + 2*p**2).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(-6*w**2 - 27 + 33 - 3*w**2) + 4*w + 2*w**2 + 4 - 4*w as p*w + b + g*w**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.99708 + -0.13412. Let f = -38.1323 - n. Let i = 11 + f. What is i rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15533056*x**4 - 126*x**2 + 2*x + 8398 wrt x.\nAnswer: -372793344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/175 and 161\/30.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i**3 - 46*i**3 + 11*i**3)*(i**2 + 0*i**2 + i**2) + (-1 + i**3 + 1)*(i**2 - 2*i**2 + 2*i**2).\nAnswer: -39*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-1 + -3) + 4. What is the third derivative of 14*y**o + 23*y**2 - 14*y**2 + 8*y**3 - 8*y**3 wrt y?\nAnswer: 840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 87*c + 9. Suppose 0 = -h - 4*f + 8, -h + 13 = 2*h + f. Let a be l(h). Suppose -5*s - 5*r = -r - a, 3*s - 5*r - 192 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185732591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*(221164\/(-5))\/((-480)\/(-1200)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 0*t**3 - 3*t**3)*(-4 - t**2 + 0 - 1 + 3*t).\nAnswer: 2*t**5 - 6*t**4 + 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -121001110012?\nAnswer: -121001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 8:58 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 - 245*s**2 + 20 + 2*s**4 - 16 + 270*s**2 as l*s**2 + b*s + z*s**4 + t*s**3 + x and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4464, -4463, -4462, -4461?\n\"Answer: v - 4465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 31382650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383066723?\nAnswer: 13, 113, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*i + 43, 2*i - 26 = v + v. Suppose -12*p**3 - 3 - i*p - 4 - 1 + 16*p**3 = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1518 at most -651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*m + 705 = 0, 5*f - 4*m - 949 = 226. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 n, and 1 l when four letters picked without replacement from lnnnlppp.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(6\/11)*c**(-2)*c\/c**9*(c\/(c\/(c**(-6)\/c)*c*c))\/c*c**(1\/7)*c*c\/(c\/c**(-1\/3))*c**(1\/3)*c*c*c**(-6) assuming c is positive.\nAnswer: c**(-1718\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 14*j + 16. Let n = 21 + -28. Let h be a(n). Calculate the highest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 34, 62217.\nAnswer: -5, 34, 62217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -239281 equal to -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 11*x - 319. What is z(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -2\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*-6*((3 + (sqrt(162)*-2 - sqrt(162)))**2 - (-5 + sqrt(162) + -1 + sqrt(162)))*-6*-6.\nAnswer: -233280*sqrt(2) + 1909008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:02 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 43*d**2 + 190*d - 101. Let i be x(47). Let v(p) = -p - 6. Let j be v(-6). Put i, j, 1, -3 in ascending order.\nAnswer: i, -3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 less than 7587482802?\nAnswer: 7587482802.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Let i(r) = 2*r**3 - 6*r + 3. Let u be i(h). What is u rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k. Let h(r) = -r + 3. Let n be h(4). Let i be t(n). Let f = i - -11. Which is the second smallest value? (a) 3 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 6*b**2 + 5*b - 5. Let x be o(9). Let a = -103 - x. What is a rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 1:32 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -25*f**3\/3 - 2. Suppose h + 13 = 4*g + 18, -3*h = -3*g - 6. Let p(x) = 1 - 2*x - 6 + 4 + h. What is p(j(s))?\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 0.03. Let g = -0.08 - t. Which is the nearest to -1? (a) -0.4 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 4*l**2 + 12*l + 1. What is the smallest common multiple of 10 and y(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5026286 - -22?\nAnswer: 50262a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12459 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 292*o**5 - 52*o + 32. Let q(y) = 45*y**5 - 8*y + 5. Let c(k) = 32*q(k) - 5*s(k). What is the second derivative of c(t) wrt t?\nAnswer: -400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 1855, 4176, 7425, 11602?\nAnswer: 16707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19441, 19437, 19433, 19429, 19425, 19421?\n\"Answer: -4*k + 19445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438679689.\nAnswer: 83, 29381683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = s - 127, -3*x - 3*s = -4*s - 183. Suppose a = 3 + x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124476*m**3 + m + 25558 wrt m.\nAnswer: 746856*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 1, g: 1, t: 2, v: 2, p: 1}. What is prob of sequence tgq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 829 = -814. Let p be 8 + (2 - 4) + 4. Solve -p*q + 11*q = k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393624 and 29820?\nAnswer: 1968120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**6*x - 14922*a**5*x**2 + 16*a**2*x**2 + 1809*a**2*x wrt a?\nAnswer: -720*a**3*x - 895320*a**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 6*k + 51 - 60 = 5*k, -190*w = -194*w - 3*k - 29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28683, 57306, 85929, 114552, 143175, 171798?\n\"Answer: 28623*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 797.6 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, 4.\nAnswer: -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1012 and 33224213?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -39. Suppose 33*k**4 - y*k - 8 - 3*k**4 + 52*k**3 + 6*k**2 + 0 - 5*k = 0. What is k?\nAnswer: -1, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {f: 7, l: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 = 1. Let k(t) = t + 1. Let h(m) = m + 2. Let v(y) = q*k(y) - 3*h(y). Let z = -47 + 45. Determine v(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -7*w - 34. Solve -w = t + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 a, and 1 p when three letters picked without replacement from dlaandptndpapnddd?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*z**3 + j**2*z + 6*j*z**2 - 12*z**3 - 3*z**2 with respect to j.\nAnswer: 2*j*z**3 + 2*j*z + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from pppxdxdpppdpx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + 222\/(-36))\/(150\/(-18) - -6). What is the closest to 5 in l, -8\/3, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2882, -5698, -8492, -11252, -13966, -16622?\nAnswer: -19208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) 0.1 (b) -0.1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -3 - 36 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {k: 1, r: 1, t: 3, q: 6, z: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 472*h**5\/15 - 845*h**4\/24 + 48*h**2 + 9*h. What is the second derivative of a(c) wrt c?\nAnswer: 3776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*p**2 + 19 - 17 + 27*p**5 - 171*p**2 + 8 + 17*p wrt p?\nAnswer: 540*p**3 - 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 + 0.5. Let k = m - -1.6. Sort 0.4, 0.5, k in ascending order.\nAnswer: k, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**3\/3 + 7*w + 27. Let r be a(0). Solve 0 = r*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/50*(-10)\/(-2). Let m be (2\/3)\/(x\/(-30)). Solve 5*n + m + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/201216 and 61\/66?\nAnswer: 2213376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -343014243 (base 5) in base 14?\nAnswer: -2bc688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8*2*0. Suppose -4*j + 5*c + 25 = l, -c + 0*c - 5 = -3*j. Suppose j = w - 5. Solve 9 = -w*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**5*r**(-4\/7)\/r)\/(r**(1\/3)\/(r*r**(2\/13))))**(-2\/19) assuming r is positive.\nAnswer: r**(-2866\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * -20.03\nAnswer: -4.2063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**5\/60 - i**3\/3 - 466*i**2. Determine a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 take away -14792289909?\nAnswer: 14792289908.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2 + 78*q + 440 = 0 for q.\nAnswer: -5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*d = 24, -290 = -5*k + 3*d - 318 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-209)\/30 + 4 - -4 and 31\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 + 72 + 25 + 91?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101011111 (base 2) to base 14.\nAnswer: -1899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmccyam. What is prob of sequence cwy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/39 or -1312\/125?\nAnswer: -1312\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18592.9 and 36.3674775?\nAnswer: 18556.5325225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z + 10. Let n be t(1). Find the third derivative of -11*a**2 + 25*a**n - 15*a**2 - 87*a**4 + 16 wrt a.\nAnswer: -2088*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 - c + 160. Let v(s) = 3*s + 17103. Determine v(m(d)).\nAnswer: -9*d**2 - 3*d + 17583","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3103*i - 1554*i - 48 = 1553*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1156028 rounded to 2 dps?\nAnswer: 3.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006953?\nAnswer: 13, 263, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*j**2 - 11*j + 11*j + 87*j**2 - 199*j**2.\nAnswer: -351*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) -0.3 (c) -66 (d) -2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135d (base 14) to base 16.\nAnswer: d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2*z + 0*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-195)*(-21)\/28?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-one fifths of a microsecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -4\/5, -2\/7, -6\/19, 4\/3 in decreasing order.\nAnswer: 4\/3, -0.08, -2\/7, -6\/19, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -7*c**4\/3 - 13*c. Let o = -29 - -29. Let s(w) = -4*w**2 + 5*w**2 + o*w**2. What is d(s(g))?\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89)\/63 + ((-2)\/(-10))\/((-385)\/275).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1213283*a**3*q**2 + 258*a**3*q + 16*a**2 - 2*a*q wrt q.\nAnswer: 2426566*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*w + 100. Let p = w - 25. What is the highest common factor of 95 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 + 323*v + 113. What is o(-40)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6844281 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, l: 7}. What is prob of sequence llll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*a = -20, 6*o - 2*o + 5*a + 12 = 0. Let g = -1 + o. Solve -g - 1 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15266050?\nAnswer: 2, 5, 503, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -32051 greater than -32046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 69*y**4\/4 + 49*y**3\/3 - 20. Find the third derivative of u(n) wrt n.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-20484)\/(-1134) - (1 - 4)\/(-3)?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 + 276. Suppose r + 2949 + v = 2*a, a - 1519 = 4*r. List the prime factors of a.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-14) - (3 + (-5 - 0)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3 - 8*q**3 + 2*q - q - 3*q**2 + 4*q**3. Let p(k) = -k**2 + 2*k**3 - 1 + 0 - 3*k**3 + 0*k**2. Let m(o) = -3*p(o) + u(o). Factor m(f).\nAnswer: -f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 - -0.31. Let q = 0.13 + -0.06. Let c = -0.23 - q. What is the third biggest value in -1, t, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1912940 and 4304115?\nAnswer: 17216460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2. Let i(z) = -21*z - 28. Let f(t) = t + 2. Let p(v) = 14*f(v) + i(v). Give r(p(l)).\nAnswer: -245*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) 0.3 (c) -17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.483244 * 0.5.\nAnswer: 0.241622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*d**2 - 527*d**2 + 162*d**2 + 173*d**2.\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1965 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - 23*j**2 + 12*j + 19. Let x be d(9). Suppose 16*n - x = -147. Sort n, 4, 2, 0 in descending order.\nAnswer: n, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6448\/(-91))\/(-2) + -8)*56\/16?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 8) + 2*(-15)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -141, -5, -69, -1 in descending order.\nAnswer: 1, -1, -5, -69, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 113, 107, 99?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302129610 divided by 1313607?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 3*q**3 - 51*q + 17*q - 3*q**2 + 3*q**2.\nAnswer: -5*q**3 - 34*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5508 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 407225113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -817106 or -817108?\nAnswer: -817106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -223, -219?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 11 = -137. Suppose 5*o - v = 68. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*h - 0 + 26, -2*w = -5*h. Which is the nearest to -0.017? (a) w (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17671? (a) -2 (b) -0.4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -8, -40, -94, -176?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 20*c + 3 = 0. Let v = 168 - 168. Let k be c - v - (0 + -4). Solve -2*f + 1 = k, -2*z - 3*f + 5 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x = -9. What is the third derivative of -4*j**6 - 24*j**3 + 4*j**2 + 24*j**x wrt j?\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7297223 hours to days.\nAnswer: 0.0720717625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 14 - 20)*(167 - 167 + 133*k) in the form j*k + o and give j.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -23*u**3 + 25 - 22 + 22*u**3 - 7*u**2 + 3*u. Give z(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u**3 + 24*u**2 - 9*u + 3. Let a(m) = 4*m**3 - 12*m**2 + 4*m - 1. Give -5*a(k) - 2*d(k).\nAnswer: -2*k**3 + 12*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 22 - 3)*(-2 + 0 + 1)*(-x - 2*x + 2*x + (250 + 231 - 264)*(-3*x + 5*x - 4*x)).\nAnswer: 6960*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 12*a = 25, 5*r = 5*a + 2245. Suppose w - r = -v, 0*v - 436 = -v - 5*w. Does 46 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (122 - 54) + (-16 - -40) + -11\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + (6 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:39 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:31 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 19*f + 127, -f - 300 = -3*o - 281 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106339 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259363.\nAnswer: 7, 179909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -59. Let h = -1125\/746 + 3\/373. What is the closest to q in h, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.54 - 0.56. Let k = v - -9.4. What is the closest to -0.1 in -3, k, -7\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**3 - 2*d**2 + 2*d - 1. Let p be j(1). Calculate the lowest common multiple of (-6 + -3)*1\/(-1) and ((-28)\/p)\/(1 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7801 is divided by 2583?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, v: 1, m: 7, l: 3, z: 2}. Give prob of sequence lv.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -517 - -517. Determine c so that 4\/7*c + o - 2\/7*c**2 - 2\/7*c**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/5377 - -306789\/537700. Calculate the common denominator of 79\/30 and c.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 170, 465, 1.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -12.44516\nAnswer: -13.689676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 + -276.\nAnswer: -275.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 26.9 - -4.259\nAnswer: 31.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 55390.\nAnswer: 6\/5539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*p + p. Let h be -238 - -257 - (0 + (-1)\/(-1)*-1). Solve p*q - 7*q + h = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - g**3 - 10 + 8*g**2 - 1 + 1. Let u(r) = -8*r. Let k be u(-1). Is y(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37058740 to the nearest integer?\nAnswer: 6088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1677 divided by 15\nAnswer: 559\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 8)*(-3 - 25*l + 42*l - 21*l) + 2*l - 3*l + 0*l.\nAnswer: 23*l + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 96.768 and 0.1?\nAnswer: 96.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-3))\/(4\/(-36)). Suppose -j + 76 = 4*d, -o*j + 48 = 4*d - d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.04901518 to 3 dps.\nAnswer: 38.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2977, 3006, 3049, 3106, 3177?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(2 - 3 + 0)*(r**2 + 22870*r - 22921*r + r**3 - 3*r**3) in the form q + n*r + m*r**2 + k*r**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 5*u - 31 + 3*u - 2*u**2 + 2 to the form y*u**2 + p*u + r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*z\/(z**(-9)\/z)))\/z))\/((z\/z**(1\/10))\/z*z))**(1\/5) assuming z is positive.\nAnswer: z**(121\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3046804 + 1523382 - 2*q**2 + 1523422 - 17*q.\nAnswer: -2*q**2 - 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**(2\/19))\/m)*m**(4\/3))\/(m*m\/m**4*m*m*m*m**(-5)))\/((m**(-1\/3))**(-8\/11)*(m**0)**16) assuming m is positive.\nAnswer: m**(1295\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 6.7\nAnswer: 2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.51 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/7519538 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3800*i**3 + 3797*i**3 - 7579*i**3 - i in the form s + l*i**3 + p*i + x*i**2 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 357113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3355 - 3357. Let g = -32.3 - -32. What is the nearest to m in 4\/5, -23, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4584 - 4586 - 77*p + 158*p - 80*p. Let k(d) = -2*d + 5. What is -4*k(z) - 9*q(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1945*t**5 + t**3 - 2*t**2 - 177?\nAnswer: 116700*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 1. Let r be a(-1). Let k(b) = -6*b - 16. Let t(u) = -u + u - 3 - 6*u + 5*u. Let h(g) = r*k(g) + 11*t(g). Differentiate h(s) with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -200 + 0?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7724*p**6 - 7*p**2 + 543.\nAnswer: 926880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*p - 148*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -37 + g**2 - 11*g + g**2 - 2*g. Is o(26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5 = 7. Let p = v + 16. Solve -5*h + 2*b + p = -2*b, -2*h + 18 = 5*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {f: 1, d: 6, l: 2, s: 2, t: 3, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095630?\nAnswer: 2, 5, 209563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyyk when four letters picked without replacement from {a: 6, k: 5, y: 5, b: 1}?\nAnswer: 5\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28560\/(-135))\/16 + 18\/81.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 5:27 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -226*q + 14 + 6 + 224*q - 3 + 4. What is l(-13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -15.1. Let r = -3.9 + c. Let o = -0.01 + 1.01. Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/(-4))\/(8\/(-144)). Let v be 2400\/z + 2\/9. Differentiate v*s**2 - 7 + 10*s**2 - 38*s**2 with respect to s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066924088 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/55, -4\/5, 4, 2, 5 in ascending order.\nAnswer: -4\/5, 2\/55, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*j + 147*j = 24. Which is the third smallest value? (a) j (b) -6 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50373042.\nAnswer: 2, 3, 109, 77023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggprppgrppprrgrgpp. What is prob of sequence rgg?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3424? (a) -9 (b) -1 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 8, 10, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 12. Calculate z(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6888051187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 32375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/11 (b) 0.2 (c) 2\/11 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -477640 minus 10804643?\nAnswer: -11282283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113898 by -1389.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by 1494.\nAnswer: -115\/1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539 divided by -27?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 bigger than 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1154048 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.36 or 5820?\nAnswer: 2.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 l when three letters picked without replacement from wnlrlhlrfhlh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -15. Suppose 0*b - 10 = -i*b. Suppose 14 = 3*l - g - g, 6 = b*l - 2*g. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43401 + 43404. Which is the fourth smallest value? (a) -2\/11 (b) 1 (c) 19 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 9. Let v be s(17). Let u be (-10)\/40 - 114\/v. Suppose -m = 3*o - u, -o = 2*m + 2 - 20. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -136, -3, 3, -235, 4 in descending order.\nAnswer: 4, 3, 2, -3, -136, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(4)*4)\/((sqrt(108)\/sqrt(9))\/sqrt(6))*5.\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (-1 + 1*sqrt(1584)))*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.758 + 1.8. Let i = -3.042 + u. Which is the fourth smallest value? (a) -0.1 (b) i (c) -1\/2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-6)\/8)\/(41 - (-118040)\/(-2880)). Solve 0 = d*u - 34*u + 112 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*z = -0*u + 26, -u + 5*z - 10 = 0. Let y be 250\/(-20)*6\/u. Solve 4*l = -5*n - l - y, 5*n + 7 = -4*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**3 + 1\/3*b**4 + 0 + 0*b + 20*b**2. Let h be m(-2). Sort 2, -3, h in descending order.\nAnswer: 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1137848?\nAnswer: 227569.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 328 in 4\/3, 0, 0.08, -3\/19?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cb8 (base 14) in base 15?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 2*w - 1. Let s be z(1). Put -2, 5, s in ascending order.\nAnswer: -2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39104224 is divided by 81.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*a - 11*a + 3097659 - 3097657.\nAnswer: 36*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + d - 1. Let p(l) = l**3 - 8*l**2 + 4*l - 5. Let m(j) = 6*j - 100. Let v be m(16). Determine v*c(i) + p(i).\nAnswer: i**3 - 4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 85 - 1325605*t**2 - 83 + 250 + 1325603*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 1635a83?\nAnswer: -1635a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2905.59826 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (1 - 8) + -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850 divided by 50?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 11:35 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0020996 + -0.111327\nAnswer: -0.1134266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/9 - (-1 - (-21)\/(-27)). Find the third derivative of -18*o**2 - 3*o**2 + 3*o**x - 23*o**6 wrt o.\nAnswer: -2760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d - 12. Let y(a) = -a**3 - 3*a**2 + 3. Give y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*b + 10 - 2, -5*b - 10 = 0. Let s(p) = -l + 2*p - 13*p**2 + 2*p - 8*p. Let x be s(-2). Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132028620 by -6.\nAnswer: 22004770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 62. Let w be c\/(-11) - (-6 + 9). Is w less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13068)\/(-1760) - 255\/(-3400). Factor -3\/2*s**4 - 21*s + 18*s**2 + t - 3*s**3.\nAnswer: -3*(s - 1)**3*(s + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 2313*x - 32268. Determine g(-14).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 6*b - 15. Let p be w(-8). Let r(j) = -11*j**3 - 2*j + 1. Give r(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14480077 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66.655 - 67. Let b = z - -0.46. Let n = b + -0.114891. Round n to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 11*z + 12. Let p be s(-10). Sort 6, p, -1, -2.\nAnswer: -2, -1, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*i + 40*i + 13. Let v be 2\/2*2\/6. What is the closest to 1 in i, -2, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/30 - 97*k**4\/6 - 9409*k**3\/3 - 22*k**2. Factor u(d).\nAnswer: -2*(d + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*((3*(-1*sqrt(16) - sqrt(16)))\/(sqrt(128)\/sqrt(4)) + 1))**2.\nAnswer: -648*sqrt(2) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 7. Let q(r) = -r**3 + 11*r**2 - r + 9. Let t be q(c). Let b be (t - -5) + (0 - -1). Solve 4*k - b = -3*w, -4 = k - 0*k + 2*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**4 - 13*k**2 + 1389*k + 1265085 wrt k?\nAnswer: -4*k**3 - 26*k + 1389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 18. Let w be b(-9). Suppose 4*m - 3*m = w. Suppose -3*p + j - 80 = m, 0 = -5*p + 5*j - 19 - 101. Find the common denominator of -16\/7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 492 = -358*n + 359*n, k = 5*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 518, 589, 782, 1157, 1774, 2693, 3974, 5677?\nAnswer: 7862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m**4 + 14*m. Let r(x) = -x**4 + x. Let f(n) = h(n) - r(n). What is the second derivative of f(c) wrt c?\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 929*h - 6451. What is w(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -21. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, b: 4, o: 1, q: 4, g: 1, d: 5}. What is prob of sequence qbo?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (132\/(-16))\/((-2)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 11523900?\nAnswer: 11523900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2051628 and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 14*k - 14. What is the remainder when 27 is divided by c(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-30)*366\/(-488)*-10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2240229688 to the nearest integer?\nAnswer: 47331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -9. Let k be f\/(-2)*(-2)\/(-1). Let a(b) = -201*b - 2. Is a(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 - 28*t. Let n(w) = -2*w**2 - 21*w. Let b(l) = 3*j(l) - 4*n(l). Let h(s) = 52*s. Give h(b(k)).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 1, r: 1, t: 4, x: 3, j: 4}. What is prob of picking 1 x, 1 j, 1 h, and 1 t?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10794)\/3598)\/((-6)\/(-46)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 35*k - 248 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 19455730 - 19455730.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32033020 (base 4) in base 12?\nAnswer: 298b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9269054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 9*i**2 - 13*i + 39. Is h(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 0.09, 317.1, 3 in decreasing order.\nAnswer: 317.1, 8, 5, 3, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81282?\nAnswer: 2, 3, 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3253681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37104 and 437760?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2\/9, -3\/5, -561 in descending order.\nAnswer: 6, 2\/9, -3\/5, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + a = -0*a. Suppose a = 2*q + 3*t - 26, 0 = 3*t - 8*t. Solve 4*g = -q - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 19. Let t(z) = -7*z + 1. Give t(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -113. Suppose 3*o = -2*i - 515, 3*i + 116 = -o - 51. Let l = 187 + o. What is the least common multiple of g and l?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 432 + -446.56. Let p = -12.3 - w. Let l = 0.26 - p. What is the closest to -1 in -0.3, l, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7056 = -548*w + 539*w. Is w a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.73 + -0.07. Let u = i - -2.7999946. What is u rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 364\/(-70)*-1*35. Let n = z + -164. Calculate the greatest common factor of 42 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(18)\/(sqrt(384)*-1).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 11*v + 5*k = -22, -22 = 5*v + k. Let c(p) = 5*p. Let t be c(1). Suppose -t*m + 6 = -s, -s = -3*m + 5 - 3. Put 26, m, -3, v in decreasing order.\nAnswer: 26, m, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299971009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n - 10. Let s be i(3). Let y = 27 - s. Let k be 2\/y + 19\/7. What is the highest common factor of k and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 15)*-2 - 51\/(-13)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t = -25 + 1915 - 168 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + -5 - sqrt(28)\/(sqrt(12)\/sqrt(3)).\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*y + 2 - 40*y**2 - 32 - 1457*y**3 - 1458*y**3 + 2910*y**3.\nAnswer: -5*(y + 1)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z. Let v(f) = 2*f. Let a = -23 + 21. Let y(s) = 2*s. Let i(k) = a*v(k) + y(k). Calculate u(i(h)).\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - l + 37 = 2*u, 0 = l + 40*u - 39*u - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 7*g - 12. Suppose -4*z - 26 = -3*u, 5*z = 2*u + 7 - 29. What is the third derivative of m**u - m**2 + g*m**2 + m**6 wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 107.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 27*m - 4. Let i be t(4). Let c = 93 - i. Solve 5*r + 8 - 1 = 4*y, -c*y = -4*r - 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 413, 442, 471?\n\"Answer: 29*r + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*a - 24, -9*i + 21 = 5*a - 8*i. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 611280 and 19440?\nAnswer: 5501520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -40. Suppose -3*n = n + o. Let q be n\/(-8)*4\/46. Is -1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 2, s: 1, h: 1, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 140 - 137 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-50)\/200 + (-1146)\/(-4616))*-25 and -133\/6.\nAnswer: 3462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46.4 or -53.4668?\nAnswer: -53.4668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*q**2 - 120*q**2 - 128*q**2 + (-2*q - q - 2*q)*(-1 + 1 - 2*q))*(-5*q + 5*q + q**3).\nAnswer: -199*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 4*t**2 + 11*t**4 - 12*t**4 + 2*t**2 in the form h + d*t**4 + j*t + b*t**3 + l*t**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 >= 308\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23255 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 - 61.\nAnswer: -61.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/17, -5, 1.401 in ascending order.\nAnswer: -5, 8\/17, 1.401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 13*c + 14. Let a be j(12). Solve -3 = -a*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.41529t to kilograms.\nAnswer: 17415.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 3 - -6) + (3 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, -2, -1 in descending order.\nAnswer: 37, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 4. Let u(t) = -t**2. What is m(b) + 5*u(b)?\nAnswer: -4*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 + 103*n**2 + 164*n - 281. What is r(53)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139027581*k**3 - 77947616*k.\nAnswer: 834165486*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5638 is divided by 282?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - q = 5*a - 1, -3*a = -4*q + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ureuruyrknruueurk. What is prob of sequence un?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28148*b**3*c - b**2*c**3 - 6*b*c**2 - 14*c**3 - 7*c**2 - 4 wrt b.\nAnswer: 168888*b*c - 2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-1*-4 - sqrt(68))*-2*-6 - ((5 + (sqrt(68) - (sqrt(68) + -3)))*-5 + -1))**2.\nAnswer: 5904*sqrt(17) + 89809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 + 6*z**2 + 0*z**2. Let q(p) = -3*p - 34. Let y(k) = 2*k - 7. Let n(a) = -q(a) + 5*y(a). Calculate w(n(x)).\nAnswer: 338*x**2 - 52*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 86279\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9963\/2 or -423?\nAnswer: -9963\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9525?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 15. Let y = 68 - 72. What is the remainder when 44 - (2 - (y - -9)) is divided by i(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106934470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 195. Let g = 149 - u. What is the remainder when 4 is divided by ((-2)\/g)\/((-10)\/40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -14. Solve 7 - m = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 8*n**2 - 8*n**2 + (0*n**2 - n**2 - 15*n**2)*(2 - 2 + 3*n).\nAnswer: -45*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + t = -3, 2*p = -t + 5 + 13. Suppose p - 1 = x. Let r(o) = -o**2 + 7*o + 2. What is r(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -542*y**2 + y - 2. Let a be g(-3). Let n = -3238 - a. Suppose 1621 = 4*r + 2*b + 305, -5*r + n = -2*b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9347.9 + 9348. Which is the closest to k? (a) 0.13 (b) 0.1 (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:54 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, g: 1, n: 5}. Give prob of sequence ngx.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(5*sqrt(6)\/sqrt(2)))\/(sqrt(4) + sqrt(28)\/(sqrt(63) + sqrt(7) - sqrt(7) - sqrt(7)) - ((sqrt(144) + -2*sqrt(144) - sqrt(144)) + sqrt(144))).\nAnswer: 2*sqrt(11)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190812 and 40236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 11*f**2 - 22*f + 12. Give d(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 33*j**5\/5 - 4*j**3\/3 + j**2\/2 + 2*j - 12. Find the second derivative of h(x) wrt x.\nAnswer: 792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*o**2\/7 + 192*o\/7 - 1024\/7 = 0. What is o?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4464)\/(-7812)*(-7)\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuauuuuaatt. Give prob of sequence utt.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 16 = 3*a, -2*a + p + 14 = a. Suppose -48 = -3*s - a*c + 2*c, 5*s - 4*c = 80. What is the highest common divisor of s and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 377 + 73. Do 90 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by -1.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.38 - -0.38. Let a = g + -0.1. What is the biggest value in 0.3, -18, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*k + 10 = 0, 5*k = p + k + 4. Suppose p*s + 5*t - 21 = 0, 3*s = t + 2*t + 9. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 3*p**3 + 10*p**2 - 33*p - 16*p**2 + 6*p**2.\nAnswer: 3*p**3 - 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 4*k**2 + k - 4. Suppose -29 = -3*v + 4. Suppose -5*x - v = s, -2*x = 2*s - 3*x - 11. Let n be h(s). Solve n = -0*y - 3*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1163 - 1159. Put -44, m, -0.3, 7 in descending order.\nAnswer: 7, m, -0.3, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1510226 = 78*z - 32*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**3 + 372*l**2 - 223*l + 400. Determine s(-75).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12223 - 152.1819.\nAnswer: 12070.8181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(7\/2))**(3\/13)*(d**(-1\/50)\/d)\/d**(8\/13))**(-1\/13) assuming d is positive.\nAnswer: d**(269\/4225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128388458.\nAnswer: 2, 11, 73, 79943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*r + 0*r**2 - 7*r**3 + 0*r**2 - 18*r wrt r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187996137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1084, -1069, -1028, -949, -820?\n\"Answer: 2*g**3 + g**2 - 2*g - 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/3 or 69?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 230513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9181122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 2.90069.\nAnswer: 2.90069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsggsssgsssssg. Give prob of picking 1 g and 2 s.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -280 + 280.0000024. Round y to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12081*b + 9858088. Calculate h(816).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/8 and -13\/534672?\nAnswer: 534672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*q + 1 + 0 + 0 + 2 wrt q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -453 - -443. Which is smaller: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 493 - 4*g**3 - 493 + 2*g**2 + 3*g to the form f*g + p + u*g**2 + m*g**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 + 69*l**2 - 235*l - 1266. Calculate p(17).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -21. Let d be (-26)\/m - (-2)\/8. Let b be 2 - d*(-2)\/(-3). Let p(l) = 3*l - 6. Give p(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 s when four letters picked without replacement from smfebsfssbfbmmesbs.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -16. Suppose -4*z + a*z - 25 = 0. Suppose 17 = -z*b + 157. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 212488834 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1668*b**2 - 832*b**2 - 835*b**2. Let s(m) = 2*m**2 - 348. What is s(q(l))?\nAnswer: 2*l**4 - 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.19, -2\/41, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -2\/15, -0.04, 1\/39.\nAnswer: -0.9, -2\/15, -0.04, 1\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -72\/2765?\nAnswer: -72\/2765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 3*g**3 - 2*g**2 + 5*g**3 - 2*g**3 - 4*g**3 + (0*g - 3*g + 5*g)*(-4*g**2 + 0*g**2 + 5*g**2).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 82 = n + 83, -2*n + 2 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3103 + -7062?\nAnswer: -3757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 14.06. Let p = f - 0.12. What is the smallest value in p, 0, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 526, 18, -50\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, z: 3, h: 3, y: 2}. What is prob of sequence zyyg?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 13. Let x be h(0). Let l = x - -15. Let c(b) = -b**3 - 9*b**2 - b - 7. Let z be c(-9). Solve 0 = 2*d + z*t - 10, -4*d + 0*d - l*t = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose 2*z + j + 3 = 0. Let d be (16\/6)\/2*z. What is the closest to -0.1 in -0.1, d, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 17*y**2 + 3*y + 61. Let c be (8 - (-35)\/(-5))*-17. Let r be n(c). Solve 16 = 2*f + r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201.59 and -44.\nAnswer: 8869.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97470 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171474728.\nAnswer: 2, 21434341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1248685933 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 8. Suppose 0*b + i = c - 2*b, 4*c = 2*b + 52. Let l = -7 + c. Calculate the highest common factor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 4*t**4 - 2*t**4 - 2*t**4 + t**4 - t**4 + (t**3 + 0*t + 0*t)*(103*t - 183 + 183).\nAnswer: 97*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9926.274 litres in millilitres?\nAnswer: 9926274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 18*c**3 - 20*c**2 - 21*c + 23. Let y(w) = 11*w**3 - 9*w**2 - 11*w + 11. Let l(v) = 5*y(v) - 3*z(v). Let q be 42\/9*(-3 - 0). Is l(q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -768 (c) 0.3 (d) 0.2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384672 - l - 2*l + 0*l + 4*l.\nAnswer: l + 384672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/9 in 1, -43, -1\/3, 2.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7701 - -7708. Let i(u) = 12*u - 27. Give i(k).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = 31. Let t = v + 28. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -32 (b) 4 (c) -8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -12. Suppose r*b - 8 = 6. What is the lowest common multiple of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891, 3725, 8447, 15057, 23555?\nAnswer: 33941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3161 - 75 = -4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -6*u + 133. Let p be (-12)\/42 + u\/14. Suppose 0 = p*k + 3*y - 422, 3*y - 4*y - 211 = -k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379824373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 107684322?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {j: 4, v: 1, g: 6, e: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 35 = 5*v, 3*u + 19 = -2*u + 3*v. What is the biggest value in -0.4, -2\/3, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 14*z**2 + 8*z - 13. Give m(-13).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 132448 (base 9) to base 2\nAnswer: 10011101010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35 + 2 - 1)*(-20)\/40. Calculate the highest common divisor of d and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2890644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (4 - (5 + -4)). Suppose c*i - 5*r = 247, -5*i - 4*r + r = -633. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 + 186 - 59 - 4512*c - 66 as z + o*c and give o.\nAnswer: -4512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 c when three letters picked without replacement from {w: 4, k: 1, c: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 24*b + 11*b + 47*b)*(7*b - 4*b + 4*b) in the form v + u*b + d*b**2 and give d.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + 1. Let k be t(1). Let q be (-108)\/231 - (-2)\/k. Which is the nearest to 0.1? (a) q (b) -4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-297)\/(-144)*(1 + 7\/(-9)) and -1\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 258 (c) -1 (d) 1 (e) 89\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2*b**3\/3 + 19*b**2\/2 + 34*b + 28. What is the remainder when 37 is divided by i(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2952 = -18*v + 30*v. What are the prime factors of v?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 27*o. Let n(m) = -3*m. Let r(f) = -10*f. Let l(q) = 3*n(q) - r(q). Give p(l(b)).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 0*q + 6*q to b*q + r and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -740216 or -740223?\nAnswer: -740216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 37 - 36 - (0 + -26 + -7).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 12*t**2 + t - 6. Let g be s(12). Let d(x) = 4*x + 7. What is the units digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, -0.7, -3\/7, 26552.7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from cscststysttct?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 647136 and 12?\nAnswer: 647136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23392.936916 - -23393. Round q to 3 decimal places.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 290196 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) + (sqrt(119) + sqrt(119)*1 - sqrt(119)))*-1 - (5*sqrt(119)*-2 + sqrt(119)))\/(sqrt(700)*-2*6))**2.\nAnswer: 833\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1078*k + 2. Let q(h) = h. Let v(w) = b(w) - 5*q(w). Let d be v(-6). What is d rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-6))\/((-2)\/1972). What are the prime factors of h\/34 + (-2)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.192+-3419\nAnswer: -3418.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) -0.4 (b) -4 (c) -3 (d) 76 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*g + 6*g - 238. Put 5, 4, g, -1 in decreasing order.\nAnswer: g, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (-168)\/(-18))*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 6208.\nAnswer: 18624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 2906*a**2 + 5804*a.\nAnswer: 2*a*(a + 2)*(a + 1451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3002750.9999936 + -3002759. Let p = 8 + z. What is p rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2\/4 - 31797407*q\/4 + 7949352 = 0?\nAnswer: -31797408, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 19661 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-10))\/(506\/(-2024)))\/(102\/240).\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8010197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-39))\/((-3)\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -600*o - 12*o**3 + 59*o**5 - 386199*o**4 + 386199*o**4 wrt o?\nAnswer: 1180*o**3 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 + 2*r. What is h(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 147*s + 3*s**3 + 1 - 147*s + (-1 + 3*s + 1)*(3*s**2 + 11*s**2 + 2*s**2).\nAnswer: 51*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 + -29156)\/((-99)\/33))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose -3*x + 1 + 14 = g. Put -4, x, -5 in descending order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6*q - 240. Suppose 7*g - q = 3*g. Suppose -5*d + 3*d - 3*z = -g, -d = 3*z - 9. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 15 = -q - c, -4*c + 67 = 5*q. Let y = 0 - -4. Suppose -2*d + 5*o - 14 = -3*d, 3*d - y*o - 99 = 0. What is the remainder when d is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) -0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.626751 years in centuries?\nAnswer: 0.00626751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-85) - (-1 + 1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*m**2 - 35*m**2 - 35*m**2)*(-39*m**2 - 39*m**2 + 6*m**2).\nAnswer: 144*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**5 + 1270*v**4 + 66635*v**3 - 509010*v**2 + 1195380*v - 908280 = 0.\nAnswer: -174, -87, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -6 (c) -5\/2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -323212230222?\nAnswer: -323212230213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 31385843?\nAnswer: -18\/31385843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2059 is divided by 295?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 3*z - 4*z. Let h be (-6 - z\/(-10))\/(2\/(-2)). Which is the closest to -2\/13? (a) -1\/2 (b) h (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u + 1. Let c(w) be the second derivative of -7\/2*w**2 + 1\/2*w**4 + 12*w + 0 - 2\/3*w**3. Give -5*b(z) - c(z).\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215\/15 + -11 - 2\/1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15*4*3\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/68 and -19\/32.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1700) + -2.\nAnswer: -5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 105 times 35.18\nAnswer: 3693.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qajaa. What is prob of sequence qaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n = 4*h - 12, 36 = -4*n + 5*h. Let k = -528\/1345 - 2\/269. Which is the nearest to -6? (a) k (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 14. Suppose d*y - 115 = 59. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**1)**(-1\/4)\/(m\/m**(-1\/12)*m*m**(-4)))**(-5) assuming m is positive.\nAnswer: m**(-85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 7*l. Let o be a(-7). Suppose -8*r + 64 = -o*r. Suppose -r*n + 655 - 55 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(96)\/sqrt(3) + sqrt(10)\/(sqrt(5)*-2))**2.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.7 (b) 0.3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.623 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5705 + 6151. List the prime factors of o.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44585673073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818469 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 l, and 1 y when four letters picked without replacement from tywwllyt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*u**3 + 66*u**3 - 3 + 3.\nAnswer: 164*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -81, 2 in descending order.\nAnswer: 2, -10, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -100011101011111001111111?\nAnswer: 100011101011111001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-56)\/66))\/(((-52)\/28)\/13).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/223848 and -139\/335772.\nAnswer: 671544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:26 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p - 10. What is o(9)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-4)\/(4*4\/32). Suppose b - 2*m = -0 + 1, 0 = 2*b + 2*m - a. Solve 3*u - b*t = 8, -2*u - 4*t = 5 + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/3 - 49*g**2 - 1776*g + 5476\/3 = 0.\nAnswer: -74, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36183?\nAnswer: 3, 7, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 13. Suppose 0 = 88*z - 93*z + 759980. Suppose g + 3*m = -4*g - 190003, -r*g + 4*m = z. What is g rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q - 2*q + q**3 - 517*q**4 + 261*q**4 + 255*q**4 + q**2 - 1 as a*q**4 + t*q**2 + f*q**3 + h*q + v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -645753*f**3 + 102*f**2 + 607931623*f wrt f?\nAnswer: -3874518*f + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 442*y + 3213. Determine g(-7).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 0.07, 44?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -20810*q**2. Let d(p) = -6*p. Calculate b(d(v)).\nAnswer: -749160*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011813437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 17 = 23*t. Is t equal to 26\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000111100 + -101000001100?\nAnswer: -10100001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -998 - -938. Which is bigger: g or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/15820 and 25\/9492.\nAnswer: 47460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7360 and 460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 16*l + 543. What is the ten thousands digit of h(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0342 + 0.0532. What is p rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -941, 3, -8807, -3 in ascending order.\nAnswer: -8807, -941, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**2 - 2*b - 1. Let o be y(-1). Suppose 0*v - o = -5*v - w, 0 = 3*v + 2*w - 2. Solve -g = -1 - v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12210*d + 1 - 12355*d + 36557*d - 1 - 12312*d.\nAnswer: -320*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.798 times 0.2\nAnswer: -0.3596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1790, 3545, 5312, 7097, 8906, 10745, 12620?\nAnswer: 14537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 130, -2\/21 in descending order.\nAnswer: 130, -2\/21, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-5))\/((328\/(-410))\/(-21 + -11))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from gaflaalbblllbbfbb?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3000))\/(sqrt(12)\/sqrt(2)*-4).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -915*c. Let j(a) = -14463*a - 49*a**2 + 40*a**2 + 14463*a. Give j(u(h)).\nAnswer: -7535025*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 4*z**2 - z. Let y be c(3). Suppose 5*x - 10 = -n - 2*n, n = 2*x - y. Let v = 15 - x. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -198829.\nAnswer: 4\/198829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 1. Let i(l) = -2*l - 6. Let k(n) = i(n) - 4*p(n). Let x be k(9). What are the prime factors of 1 - (-180)\/(x\/2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*t + 0*t + 3 = 0, -2*n + 1 = -3*t. Let x be (n + 0)\/1 + 4 + -1. Does 8 divide (382\/(-3) - 4)*6\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqxqakn. What is prob of picking 1 k, 1 q, 1 n, and 1 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 218 + u - 302*u**3 + 219 + 375*u**3 + 0*u.\nAnswer: 73*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/12 - 18*a**3 - 1458*a**2 - 113*a. Factor c(y).\nAnswer: -(y + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263899 is divided by 20290.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**5 + 315*n**4 + 2005*n**3 + 2485*n**2 - 2010*n - 2800 = 0. Calculate n.\nAnswer: -56, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 999, 2013, 3051, 4125, 5247, 6429, 7683?\n\"Answer: 2*h**3 + 1000*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 + 262*p**2 - 372*p - 544. Determine s(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.07 (b) -0.4 (c) -6 (d) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/7 + 78608*u\/7 + 235806\/7 = 0 for u.\nAnswer: -39301, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(-2*r - 5*r + 5*r + (-2*r + r + 2*r)*(-1 + 1 + 4)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dee5033 + -8?\nAnswer: dee502a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -1\/6*b**4 + 0*b**5 + 6*b + 0*b**2 - 1\/15*b**6 + 0 + 0*b**3. Find the third derivative of r(g) wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14503 or 14494?\nAnswer: 14494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7636.8 + 7637. Which is the biggest value? (a) 61 (b) 0.3 (c) n (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10914 smaller than -8689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/((-6)\/(-20)). Suppose 0 = -3*q - q + b*g - 20, -5*q - 16 = -4*g. Is q - (-1 - -2 - 107) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25687.77587 to the nearest 10.\nAnswer: 25690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = 2*u, 0 = n - 2*u + 4 + 1. Let v be -1*(1 + 1 - 3). Suppose -c + v = -n. Solve -3 = c*a + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.043 - 43.043. Let f = b + 43.00000034. What is f rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56137*14.\nAnswer: -785918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 8461387.\nAnswer: 8461386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b + 14 + 10*b - 8 - 6.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -7 (b) 4 (c) 4\/7 (d) 1.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3\/2 + 12*u**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.9 + 0.1. Let u = w + -11. Put u, -1, 4 in increasing order.\nAnswer: u, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*r + 17. Suppose -l + 6 = 2. Let a = 46 + -44. Solve l = r*k - a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*n = -1 + 3, -4*p = 5*n - 23. Suppose 3*o = 5*l - 27, 4*l - 4*o - 25 = l. Suppose d = p*d - l. Put -5, 0, d in descending order.\nAnswer: d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcwwaawwwcc. Give prob of picking 2 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -7. What is the lowest common multiple of 4 and (0 + t)*(-4 - 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = -12. Let k(j) be the third derivative of j**6\/120 - j**5\/10 + j**4\/8 - j**3\/6 + 26*j**2. What are the prime factors of k(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438, 3431, 11548, 27351, 53402, 92263, 146496?\nAnswer: 218663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2\/6 - 176384\/(-16536)) + 432\/(-3)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdx when three letters picked without replacement from {l: 1, x: 6, v: 4, d: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2949.\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, -43, -137, -269?\n\"Answer: -19*p**2 + p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -438.944 + 3.144. Round b to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1655658 or -1655674?\nAnswer: -1655658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73671 is divided by 2302.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*q - 142*q = -296*q. Is -93\/109 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 15*x = 32 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 107 = 4*z. Let c = z - 53. Let y = c + 42. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*c = 1, 23*c + 20 = 18*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 5*v + 145 - 80 = -6*f - 0*v, -5*v = -3*f + 61 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + u = 10, -5*s + 7*u = 3*u - 2. Let z(m) = -7 + 2*m**2 + 4*m - m**2 + 8 + m**s. Is 7 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a factor of 2989272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 6:59 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -0.638?\nAnswer: -7.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/23)*b)\/(b\/b**(-7\/3)*b) assuming b is positive.\nAnswer: b**(-233\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1809, 1901, 1995, 2091, 2189, 2289, 2391?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*y - 309661 + 125*y**2 - y**3 + 309663 - 18*y to p*y**3 + m*y**2 + u + k*y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -14 + 3 - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from vovovvvvvvvv.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-462)*7\/7?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 38*b + 195. What is d(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033120 - -1010003?\nAnswer: -23111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12190*c = 12039*c - 1208 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.6354 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 768022 and 22424?\nAnswer: 3072088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o - 6*o - 7*o**2 - 4*o. Let j(b) = 3*b**2 - 4*b**2 + 5*b**2. Determine q(j(f)).\nAnswer: -112*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 - 36*o - 7. Calculate j(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12633500 divided by 22970\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-661)\/(-132) + (-71)\/781 - (-20)\/(-4)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:05 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61106, -122214, -183322?\n\"Answer: -61108*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, n: 11}. What is prob of sequence nnww?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 72473?\nAnswer: 5\/72473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294 and 6167.\nAnswer: 259014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (-1 - 278)*(-6)\/9 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(1\/(4\/(-78)))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1010a2430?\nAnswer: -1010a2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 7 = -3*f - 4*p, 4*f + 3*p - 19 = 0. What is the nearest to f in 0.5, -4, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 7:04 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/13, 181, 14.\nAnswer: 2\/13, 0.5, 14, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 2*m - 550 = 0. Is 6\/2 + m + 12115 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 12*s + 12. Let u be q(-11). Let b be (130\/(-15) + u)*-330. Round b to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**4\/4 + 8*r**3\/3 - 7*r**2\/2 + 9*r + 6. Let b = 1 - -6. Let k be s(b). Solve -f - k = 4*z + 2*f, -5*z - 2*f = 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165 - 161. Let i = 113 - 113.02. What is the third biggest value in v, i, 1\/3, -0.7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6832 + 141*y + 6832)*(2*y**3 + 2*y - 2*y) + (y + 3 - 3)*(y**3 - 2*y**3 + 0*y**3).\nAnswer: 281*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -3*x**5\/10 + 2*x**3\/3 + x. What is the second derivative of q(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3991768*b**3 - 1995891*b**3 - 1995882*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/24*3 - 3. What is the third smallest value in s, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 2)*(3 - 3 + d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3)\/(n\/(n**(-16)\/n)))**16)**9 assuming n is positive.\nAnswer: n**(-2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 85 - 15. Calculate the smallest common multiple of t and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*y - 227902, 425*y - 419*y = 4*v + 455788. List the prime factors of y.\nAnswer: 2, 5, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.02 (b) -0.59642 (c) -5\/3 (d) -3 (e) 1\/6 (f) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 5*v, -2*v - 10 = 3*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -49 (c) -1.3 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 - 9*f**2 - 7*f + 2*f - 3*f**2 - 9 + 22*f. Let y(h) = 6*h**3 - 18*h**2 + 26*h - 14. Let c(j) = 8*k(j) - 5*y(j). Factor c(s).\nAnswer: 2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 319?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1502\/2 - 3*(8 - 9). Let r = -436 + h. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/85 (b) 0.144 (c) -2.727\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76629*z**2 - 158*z + 49239611 wrt z.\nAnswer: 153258*z - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 205 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 14, -4\/3, 5\/13.\nAnswer: -4\/3, 0.3, 5\/13, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 0 + sqrt(63) + 0 + sqrt(63))**2.\nAnswer: -60*sqrt(7) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 3:53 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 + 5*c - 2. Let y be h(5). Let t = 5805\/13 - 447. Let q = t - -31\/39. What is the third biggest value in y, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -958 + 1041*o + 507 + 451 in the form i*o + k and give i.\nAnswer: 1041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75121643173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 5?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -23201?\nAnswer: 23132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ed0e14 (base 15) to base 16.\nAnswer: -ac4f80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + 0*d**3 - d**3 + 2*d**3 - 4 + 4 + (-5*d + 5*d - 3*d**2)*(4*d + 0*d - 3*d) in the form x*d + t + z*d**3 + u*d**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 5*k - 15 = 0. Suppose -186 - 87 = -k*p. What is the greatest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/w**(-9)*w*w*w)*w**(1\/4))\/(w*w\/(w\/(w*w**(1\/2))*w)*w)**(-3\/31) assuming w is positive.\nAnswer: w**(-1675\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:30 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 c when three letters picked without replacement from {c: 2, o: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -10 - 0. Let f be 6*(15\/6 + g). Suppose -f*n - 165 = -8*n. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = -g, -7*g - 15 = -2*g. What is the highest common divisor of 11 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from gxngxxncxgggvv.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 + -16084.\nAnswer: -16154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17443.779 months in years?\nAnswer: 1453.64825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d - 166 = 26. Let g(h) = 7*h**3 + 5*h**2 - 4. Let v(w) = -6*w**3 - 6*w**2 + 5. Determine d*v(a) - 5*g(a).\nAnswer: -11*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1053860 and 327060?\nAnswer: 9484740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**3 - 326*d**2 + 326*d**2.\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13570618 by -2.\nAnswer: 6785309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen quarters of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -41*r - 5. Is i(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 121, 24, -5, -1, -4, -143 in descending order.\nAnswer: 121, 24, 6, -1, -4, -5, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = t + 11, -5*w = -5*t - 15. Suppose 544 = 3*u - 6*j + 7*j, 4*j + 704 = w*u. What is the highest common factor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.21 - -44.21. Let u = 3.98 + -4. Let m = u + 5.02. Put 4, 1, m, r in decreasing order.\nAnswer: m, 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111001111 + 101001011100110?\nAnswer: 110000010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*m**4 - 4*m**2*v - 36*m**2 - 45420*v wrt m?\nAnswer: 100*m**3 - 8*m*v - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - 31*s + 39. Give r(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = 52. Suppose -4*i = 3*p - 77, -5*i + 4*p = -z - 78. Solve 2*n + 3*n = -i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 + -1 - (-1 + -15)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 - 10 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 2*r - 6, 266*n + 16 = 262*n - 4*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o + 36*o + 90 = 0. Suppose 7*s - 85 = -o*s. Solve -4 = s*r - 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4711 - 4712 + 14104 - 453*l**3 - 4681.\nAnswer: -453*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8493*h + 857848. Determine x(101).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, v: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -343844 divided by 108\nAnswer: -85961\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/o**(2\/5))\/o)\/o)**(1\/6)*o**(-3\/4)*o*o**(3\/8))**44 assuming o is positive.\nAnswer: o**(737\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 9. Let c = 482.8 + -32.8. Let j = c - 457. Sort -0.4, 1\/4, j, x.\nAnswer: j, -0.4, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55027.99 and 0.79.\nAnswer: -43472.1121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 4. Let f be b(-3). Let u be (0 + 1\/(-3))\/(f\/(-12)). Suppose -2*x = 3*w - 448, -w + u*x + 66 = -70. List the prime factors of w.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -p + 17. Let z(s) = -3*s - 1. Let x(o) = -o**3 - 5*o**2 - 3*o - 9. Let t be x(-5). Let k(h) = 7*h + 2. Determine p*z(a) + t*k(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -518749 <= -518744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10950.5 + 10951. Which is the biggest value? (a) 5 (b) r (c) 5\/4 (d) 5.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 415, 844, 1279, 1720, 2167?\n\"Answer: 3*w**2 + 420*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -30. Which is the closest to 1? (a) i (b) 2\/5 (c) -14.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2212\/35 - -1)*-5. Let s be 107\/b - 197\/3. Put 0.2, s, -1\/7 in descending order.\nAnswer: 0.2, -1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 11*n**2 + 21*n + 99. What is the remainder when a(-7) is divided by 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 + 16*j**4 - 5*j**4 + 0*j - 3*j**4 + 0*j - 18 + 18*j**4 + 18 + (-2*j + 2*j**2 + 2*j)*(2*j**2 - j**2 - 2*j**2).\nAnswer: 28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 - q. Let i(h) = 5*h**3 + 3*h**2 + 3*h. Calculate -5*i(d) - 15*j(d).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -115.\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*t - 4*j - 666, 2*t = -3*j + 464. Factor 4*o**3 - t*o + 226*o - 4*o**2.\nAnswer: 4*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 148*s**2 + 6 + 9 to d + g*s + k*s**2 and give k.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 13, -0.3, -41545 in increasing order.\nAnswer: -41545, -0.3, 4\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**7\/105 - x**3\/2 + 2*x**2. Find the first derivative of c(v) wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o + 1737. Let k(p) = -2*p + 285. Determine -2*g(y) + 13*k(y).\nAnswer: -2*y + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (6\/(-4))\/(0 - 3\/12) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 35.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8351\/5 - 1678. Let j = 1331779\/75 - 17757. Find the common denominator of k and j.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212 - -212. What is the closest to -1\/3 in 2\/5, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 46. Let i(z) = -4*z**3 - 74*z**2 + 42*z + 80. Let n be i(-19). Solve 23*k = s*k + n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a + 9*a - 168. Solve 2*p + 11 = -5*i - p, i - 4*p - a = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-3*o - 41 + 41)*(2 + 2 - 2)*(2 + 9 - 5).\nAnswer: -108*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32505)\/(-788)*(-2 + 14\/5).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 455.3866 litres?\nAnswer: 455386.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-125))\/(24\/20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 275.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31045 is divided by 29615.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8019496.\nAnswer: 2, 643, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2 - 0. Suppose -2 = -3*g + w. Is 20*1 + (-1)\/g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/237 in 0.5, 1\/6, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 1142*s**2 + 6*s - 12. Let l(d) = 3*d**3 - 2285*d**2 - 10*d + 20. Give 3*l(c) + 5*u(c).\nAnswer: -c**3 - 1145*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -6, 9, -3\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2508*z + 133. Let j(p) = p**2 + 136*p + 4585. Let f be j(-74). Let w(q) = -57*q + 3. Calculate f*l(o) + 133*w(o).\nAnswer: -57*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20269649*v**4 - 2*v**2*y**3 + 68715*y**3 - y - 5 wrt v.\nAnswer: 81078596*v**3 - 4*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.693 in 2\/7, -4, -2, -208?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2876*r - 1448*r - 1437*r. Let u(c) = 63*c. What is 36*f(b) + 5*u(b)?\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s - 13. Let a(w) = -32*w**2 - 7*w + 28. Let z(k) = -9*k**2 - 2*k + 8. Let u(l) = 6*a(l) - 21*z(l). Determine u(c(y)).\nAnswer: -192*y**2 - 624*y - 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + -98. Suppose -4*b = 5*m - 279 - 411, c*b - 546 = -4*m. Calculate the remainder when m is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -53*i - 22. Let m(h) = -52*h - 19. Give -7*m(j) + 6*r(j).\nAnswer: 46*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 x when four letters picked without replacement from {e: 4, g: 4, x: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.3 and -5.48?\nAnswer: 100.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 2*s + 35. What is d(7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 6*i - 310. Let s(c) = c**3 - 11*c**2 + 19*c - 9. Let k be s(i). Solve k = -h - 2*h + 2*a - 1, 8 = -2*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -462, -941, -1436, -1953, -2498, -3077, -3696?\n\"Answer: -c**3 - 2*c**2 - 466*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107448797?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*x - 405*x + 81*x + 73*x + 83*x + 85*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -444557 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from bvbvb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2998*j - 3026*j = -3692164. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) 6\/29 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4 + 70*p**3 - 8443*p**2 - 8512*p = 0.\nAnswer: -133, -1, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 367254434 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**4 + 8*z**4 + 0*z**4 + (z**2 + 5*z - 5*z)*(-7*z + 24*z**2 + 2*z - 26*z**2).\nAnswer: z**4 - 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:12 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 297.2 + -297. What is the closest to -2.1 in l, 1, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187318684*d**6 + 467279217*d**2?\nAnswer: -22478242080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1081.9 + 1160.9. Which is the third biggest value? (a) -2 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2461768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 7. Suppose 4*z - j = 9. Suppose z*o - 7 = 25. Is o greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -159\/2*j**2 + 268 + 12*j. Find the first derivative of n(r) wrt r.\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 less than or equal to -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.329 + 0.671. Sort o, -2, -335 in descending order.\nAnswer: o, -2, -335","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 68*h + 140*h - 74*h.\nAnswer: -2*h - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 36. Let m be (0 - w\/3)\/(1\/9). Let t be (-12)\/(-9) + (-2)\/m. Solve -2*f = -f + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) + 1*sqrt(2736) + 3 - -6*2*sqrt(2736) - (sqrt(2736) + 0 + -5 - 4*(sqrt(2736) + sqrt(2736) + 1)))*-4 + -3)*3)**2.\nAnswer: 925344*sqrt(19) + 173770353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -162866482, -162866480, -162866478, -162866476, -162866474, -162866472?\n\"Answer: 2*h - 162866484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/6 + (1 - (-6)\/(-4)). Let b(k) = k**3 + 5*k**2 - 8. Let v be b(-4). Suppose -v*q = -4*q - 8. Put q, g, -5 in increasing order.\nAnswer: g, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*a**2 - 160*a**2 - 31 + 44 - 13.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q + q)*(-q**2 - q**3 + q**2 + (0 - 2*q + 0)*(-2*q**2 + 3*q**2 + 0*q**2)) + 20559 - 10285 - 10277 - q**2 + 418*q**4.\nAnswer: 421*q**4 - q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*1*6*sqrt(99)*1 + 2))**2.\nAnswer: -3456*sqrt(11) + 513280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1251, 1976, 2695, 3408?\n\"Answer: -3*z**2 + 734*z + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 5*p**7\/3 - 53*p**4\/3 + 110*p. Find the third derivative of l(g) wrt g.\nAnswer: 4200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -372 + 371.8. Which is the closest to -1\/3? (a) 0.22 (b) 0.3 (c) 0 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343\/2 + -2749\/16. Find the common denominator of (-11 - 1284\/(-120))*105\/18 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 45\/22?\nAnswer: 45\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -31. Let k = -18 + h. Let j be (-4)\/(-8)*-2*162\/(-54). Solve k - j = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 2\/7, -174, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = d + 4*i - 1, 5*d + 2*i = 78. What is the remainder when 122\/4 + (-24)\/16 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/15 - 99676*p**3\/15 + 398768*p**2\/5 - 4785472*p\/15 + 1276160\/3.\nAnswer: -2*(p - 4)**3*(p + 49850)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 587589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**4 + 23*j**4 + 4*j**4 + (0*j + 2*j**3 + 0*j)*(2 - 2 + 4*j).\nAnswer: 40*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w, -v + w = -2*w + 12. Let n be 147\/v + (-11)\/4 + 3. Let y be (-4 + 2)\/(3\/n). Solve 2 = 2*j + y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 681 - 704.9. Is r < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5083, 4, 3?\nAnswer: 2\/5083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -17, -1, 31, 85?\n\"Answer: u**3 - u**2 + 2*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 814 and 2678802218?\nAnswer: 2678801404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/9 and 1\/12765.\nAnswer: 38295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-5 - -11 - (-4 + -3 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48862 - 1465723\/30. Suppose -4*i - 35 = 29. What is the common denominator of c and (-4 - 43\/i) + 1?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -103 (b) 2\/109 (c) 2\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 0. Suppose 5*p + n*p - 10 = 0. Suppose 3*z + p*u - 6 = 6*u, -4*u - 2 = -5*z. Is -8\/5 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/3 + b**2\/3 - 2*b\/3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 2*b + b + 0*b - 5*b + 7*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 27 - 17 - 10. Let d = -1 - 0. Let m(p) = -p - 1. Let w(q) = d*n(q) - 2*m(q). What is the first derivative of w(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -98, -7, 714, 4, 3 in decreasing order.\nAnswer: 714, 5, 4, 3, -7, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*k - 38136 = -194*k. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 - 1)*6\/12. Let c be 1\/3*-1*a. Let f = -77\/38 + 10\/19. What is the fourth smallest value in c, f, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 8.58359 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kom when three letters picked without replacement from mok.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 240 + -117. Let p be (-328)\/246*(3\/(-2) - 0). Suppose a = p*f - f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 4*o - 51, -4*o + 32692*m = 32694*m - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*12\/(-396))\/((-32)\/(-440)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5783.4748 - -56372520.5252. Let i = r - 56378260.000023. Let p = i + -44. What is p rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 6:53 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2111 - -2109. Put i, -1.7, 3, 5, -0.1 in descending order.\nAnswer: 5, 3, -0.1, -1.7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/9 - 68115*v - 1226074\/9.\nAnswer: (v - 613037)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3*l + l)*(-2*l**4 + l**4 + 2*l**4) + (1 - 6 + 4)*(-l - 30*l - 10*l + l**5).\nAnswer: -2*l**5 + 41*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 o when four letters picked without replacement from {f: 9, o: 2, n: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 8*a + 4*h + 10, 0 = 2*h + 10. Let v(d) = 3*d**a - 7*d**3 + d - 4*d**3 + 0*d + 10*d**3. Calculate v(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 50. Let s be ((-1040)\/273)\/(-5 - 124\/(-24)). Is s > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 2 + 2*s**2 - 3*s**2 + 7*s. Let d = -26 + 31. Let x be g(d). Solve 2 = -x*c + c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 13443, 5 in descending order.\nAnswer: 13443, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229 - -280. What is the second derivative of y*r**2 + 2 + 13*r**2 + 6 + 6 + r wrt r?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6286.3 - 6880. What is u rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from sbvsbwwbtbxsb?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2172 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1936 and 2908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -337098784 divided by 176?\nAnswer: -1915334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335 + 10*g + 13*g + 4*g**2 - 20*g.\nAnswer: 4*g**2 + 3*g + 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let z(g) be the first derivative of 0*g + 7\/3*g**3 + 0*g**2 - 7. Determine j(z(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -826, 30, -9, 0 in descending order.\nAnswer: 30, 0, -9, -826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 114874975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149070661*x**3 - 149964771*x**2?\nAnswer: 894423966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -53186 * -3\nAnswer: 159558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -30*g - 2622. What is the remainder when 1860 is divided by f(-89)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -18*x + 4574. Determine g(255).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -3 - (0 - -8). Let d be z*4\/(-3) - 2. Suppose u + 3*g + d + 3 = 0, -3*g = -5*u + 27. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7702 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(13*4\/260)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 37 and 37 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 8*w**2 - 20*w**2 - 5*w**2 - 10*w**2 + 55*w**2 to the form s*w + f + d*w**2 and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4170 to the nearest 100.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23581339, 23581332, 23581321, 23581306, 23581287, 23581264?\nAnswer: 23581237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + j + 0*j)*(-11*j - 23*j + 5*j)*(5*j + 0*j - 3*j) as l*j + h + b*j**2 + s*j**3 and give s.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b**3 + 30*b**3 - 59*b**3 + 295*b - 295*b + 25*b**3.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -658 + 648. Put 0, 4, k, 8 in decreasing order.\nAnswer: 8, 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -46*y**2 + 1104*y - 2949. What is o(21)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552596042 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -h + 8. Let y(v) = -3 + h - 3 + v. What are the prime factors of y(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 14*y**2 - 16*y + 10. Calculate the remainder when q(-13) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17113642*m**3 - 918835*m**2 wrt m.\nAnswer: 102681852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-14\/3)*j*j)\/j)**(7\/5) assuming j is positive.\nAnswer: j**(161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 3 = 4*z + 29*r, 0 = 5*z - 4*r + 30 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -145260416 and 0?\nAnswer: 145260416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 46*f - 41*f. Suppose -f = 31*i - 26*i. Let r(q) = 4*q - 3. Let z(b) = -1. Let k(j) = i*z(j) - r(j). Calculate k(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**4 - 568*l**3 - 10748*l**2 - 10176*l = 0.\nAnswer: -16, -1, 0, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 208*f + 2413. Calculate a(18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 - 3*j**3 - 11*j**2 + 12*j**2 in the form h + z*j + k*j**2 + w*j**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/27873 and 49\/342.\nAnswer: 55746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r = -2*c + 47*r, -4*c - 4*r = -40 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2695 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 1084 - 194. Solve -c - w = -91 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189196009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -591 and 5.\nAnswer: -2955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -10.5. Which is the closest to 2? (a) m (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 75 + -54 + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - 144)*((-9)\/2 - -4) is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h*q**4 - 20*h*q**3 + 2*h*q**2 + 2*h*q + h + 3*q**4 - 2*q**3 + 247*q wrt q?\nAnswer: 72*h*q - 120*h + 72*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -4*t - 5, 3*t = x - 3. Suppose -u + 15 = -4*n, 6 = -2*n + 3*u - 9. Let i = 3 + n. Is i >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhwtphhwzhkppthh. Give prob of sequence zpwt.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - -2994 - (-37 - 11)\/6?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/(-686)*(-28)\/(-10)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (8 + 6) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4\/4 - 65*c**3\/2 + 965*c**2\/4 - 390*c + 180 = 0. Calculate c.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4402287 and -67\/6?\nAnswer: 8804574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + (2 - 2))\/1. Suppose -t = -p + h, -4*h = -4*p - 3*h + 11. Let z = p + 41. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:56 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 + 81666*o**2 - 1061791*o + 2940444 = 0. What is o?\nAnswer: -81679, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 + 171*r**4 - 9*r**2 + 24.\nAnswer: -360*r**3 + 4104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10) - 70\/140) + (-1)\/((-20)\/668)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 846, 1280, 1712, 2148, 2594?\nAnswer: 3056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:46 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-2 + sqrt(108))) + sqrt(3))**2 + (((-2*sqrt(3))**2 - sqrt(3)) + sqrt(3))*-3.\nAnswer: -16*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3412 and 1.03.\nAnswer: 3514.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -9, 1\/9, -12, 2\/21, -8?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13236099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 971 + -14.\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.0475 (b) 0.4 (c) -5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -444456633725 and -0.4?\nAnswer: 444456633724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 1, g: 2, h: 2, f: 1, e: 1}. Give prob of sequence fh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, 0, 24, 70, 144, 252?\n\"Answer: r**3 + 2*r**2 - 5*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2772 and 49\/3960.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3308605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 5680371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3919 + 46933\/12. Are i and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/60 + c**3\/6 - c**2. Let y be a(5). Suppose 5*q = 3*h + 80, 4*q - y - 51 = 5*h. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(475) + 1 + 1.\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - 2*s**5 + 4*s**5 + (-5 + 2 - 1)*(2*s**5 - 5*s + 5*s) - 2*s**5 + 0*s**5 + 0*s**5 - s**3 + 2*s**5 + s**3.\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l - t + 88, 0 = l + 4*t - 76. What is the remainder when l is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 24*m**2 + 22*m - 52. Determine d(-23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1813, -1872, -1971, -2110?\n\"Answer: -20*k**2 + k - 1794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(95)*2 + sqrt(95) + sqrt(95) - sqrt(95)))\/(2*sqrt(5)*6).\nAnswer: 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*u - 117, u = -4*u + 5. Let c = d - -23. Suppose y + y - 410 = c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -861318 by 430659.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*1)\/((-4)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.67 - -51.57. Suppose 2*b + 8 = 0, v - 1 = b + 4. Let x = 671.7 - 672. What is the closest to -1 in v, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12823901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1338 times 5?\nAnswer: 0.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 - 734289*t\/2 - 111565720.\nAnswer: -(t + 304)*(t + 733985)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, k: 3, o: 4}. Give prob of sequence oo.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmtmtptzttm. Give prob of picking 2 t.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13369, -13567, -13765, -13963?\nAnswer: -14161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2 - 2 - 3*x + 7 - 7 + 3. Let h be (-4)\/(-14) + 30\/(-7). What is the tens digit of c(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3188*x + 827*x - 7283 = 4522 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/2355655 - 307365901\/28738991. Let v = t + -25\/122. What is the common denominator of v and 10\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1099\/471*(-1)\/(-35).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 236226.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229 + 229. Let w(j) be the first derivative of y*j**4 - j**2 - 1\/5*j**5 + 0*j**3 - 4 + 0*j. What is the second derivative of w(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 2:19 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/55 + 23\/55. Let s = 0.04 + -1.04. Let p = s - -0.9. What is the second biggest value in a, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2*k**2 + 11*k - 275. Determine o(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 + 37*j**2 - 8*j**2 + 41*j**2 + 31*j + 13.\nAnswer: 70*j**2 + 31*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -26*v + 3. Let y(l) = 1247*l + 60 - 179 - 37 + 11. Give -145*o(m) - 3*y(m).\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260519824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (231\/(-9) + -3)*3. Let p = 3 - o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 27*h + 42. Let c be b(7). Let n be (-47)\/(-7) - (-2)\/7. Sort n, c, 4.\nAnswer: c, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6478 + -6432. Solve 0 = 6*b + 17*b - m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75997 is divided by 3793.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10767675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(5\/100). Let o = 22 - f. Let d = o - 5. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*d**2 - 11*d**2 + 4*d + 13*d**3 - 4*d**3 to n*d**3 + z + p*d**2 + x*d and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8, -3 in decreasing order.\nAnswer: 6, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 104*o\/7 - 1352\/7.\nAnswer: -2*(o + 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by 2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = u - 3*u + 314, 0 = 5*h + 20. Is u a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + (-525)\/63. Calculate the common denominator of 29\/8 and ((-14)\/(-28))\/(r\/158).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 - 7*v + 3. Let g(q) be the first derivative of -q**3 + 5*q**2\/2 - 2*q + 3. Let j(a) = -7*g(a) - 5*p(a). Solve j(s) = 0 for s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-164)\/(-10824))\/((3\/(-54))\/((-2)\/6)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -23*l**4\/24 - 55*l**2 + 27. Let m(u) = -2*u + 14. Calculate d(m(i)).\nAnswer: 46*i - 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (285\/(-70))\/3 - ((-54)\/(-4))\/(-9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1721*b - 8871*b - 236*b + 1681*b.\nAnswer: -9147*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75025669 rounded to 2 dps?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + w + 24. Let d be b(5). Calculate the highest common factor of d and 1264.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 268, 272, 222, 100, -112?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15493 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37663 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 19*q**3 + 13 + 37*q**3.\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -17, -34, -59, -92, -133, -182?\n\"Answer: -4*b**2 + 3*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/4, -1, 2, -16\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**2 - 1370*i + 210. Give w(114).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 30*r**2 - 268*r + 435. What is w(8)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49526, 49525, 49524, 49523, 49522, 49521?\nAnswer: 49520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 569*g + 5. Let t(j) = 3128*j + 28. Calculate 28*s(u) - 5*t(u).\nAnswer: 292*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*n + 30, -4*n + 0*n = 5*s + 13. Suppose 7*m = 2*m + 2*i + 17, -3*i - n = -3*m. Which is the third biggest value? (a) 0.5 (b) 1\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let d(j) = -j**2 - 5*j + 5. Let p be d(-7). Let u be m + (-3)\/(p\/(-12)). Are u and -4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 1, h: 1}. What is prob of sequence hnc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -95.28. Round f to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -774, -749, -686, -579, -422, -209, 66?\n\"Answer: j**3 + 13*j**2 - 21*j - 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 14*p**2 + 24*p + 17. Let i be y(-13). Let d be (2 - (-3)\/(-2))*18. Let b be (-2)\/d + (-37)\/i. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -4\/5, 0.01, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 681 = 9*a - 4*a, 4*d - 1317 = a. What is the second derivative of 286*g - d*g - 5 - 197*g**3 + 3 wrt g?\nAnswer: -1182*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - -57) + (-13 - (-20 + 41)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -590744 or -590707?\nAnswer: -590707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1104*b - 18185. Give u(-14).\nAnswer: -2729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k**3 + 10*k**2 - k - 6. Let d(s) = 1. Let a = 6 + -5. Let v(m) = -2*m**3 + 1. Let c be v(a). Let o(h) = c*p(h) - 5*d(h). Factor o(l).\nAnswer: (l - 1)*(2*l - 1)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2454*w**4 - 540*w wrt w.\nAnswer: -29448*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q - 3. Suppose 2*r = -6*j + 2*j + 2, 2*j = 3*r + q. List the prime factors of (1\/(-1))\/j*-13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.058 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f**11))\/f**(-2))\/(f**(-1))**(-5\/11))**(-12) assuming f is positive.\nAnswer: f**(1116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from bbssbbsssbdbzb.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 20478.9733 to the nearest 100.\nAnswer: 20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35891 + -25143. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3817682 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251 - -1199. Suppose 164 = i + 4*o - 135, -5*o = 5*i - u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyw when four letters picked without replacement from vvyvzwzzyzy.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsu when three letters picked without replacement from {u: 2, s: 1, w: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (166 - 3) + (-2 - (-4 - -1)) is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:38 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34915365 and 7.\nAnswer: 244407555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(0\/(-1) - 1). Let y be ((-75)\/(-60))\/((-2)\/(-8)). Suppose 4*o = -j + 2566, -4*o + l*o = y*j - 2574. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, 9, -2, -32, -45.\nAnswer: -45, -32, -2, 9, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 641*w - 605*w + 573*w + (-2 + 0 + 4)*(-2 + 2 - w) - w + w - w to q + f*w and give f.\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -1, -467.\nAnswer: -467, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -540.\nAnswer: -1\/540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-426)\/(-8))\/(6*(-1)\/80). What is u rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5354 - -5357. Solve -5*v = -x + w, x - 10 + 7 = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136930957 - 136930957 + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-7 + 5 + 1). Put -4, 3, y, -1 in decreasing order.\nAnswer: y, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1007 = -5*j - 59, 5*h - 1580 = -4*j. Suppose 9*c = -3*u + 7*c + h, 77 = u - 5*c. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 793000 = -7*s. What is s rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r - 1. Suppose -l = -1, 0 = -5*n - 6*l + 2*l + 24. Let t be 6\/n + r\/6. Solve t*o = -0*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 3)*(-91*s + 190*s - 8 - 95*s + 2*s - 4*s + 3*s + (-s - 3*s + 2*s)*(-2 + 5 - 2) - s - 1 + 1) as i + q*s and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 125*t**2 + 1634*t + 1373. Let g be c(137). Find z such that 12*z + 94\/3*z**2 - 8\/3 + 13\/3*z**4 + 21*z**g = 0.\nAnswer: -2, -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -6. Let m = n - 3.4. Let w = m + -4. What is w rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8\/5)\/(t\/(t**(-2\/7)*t)))**2)**(2\/3) assuming t is positive.\nAnswer: t**(-88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 749917720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989188486?\nAnswer: 2, 3, 37, 4488271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402908 plus -0.2?\nAnswer: 2402907.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 23. Let o = l - -41. Let s = -1 - -19. What is the highest common divisor of o and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226457 equal to 226457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 + 5466?\nAnswer: 5570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -440 + 442. Suppose 0 = 5*p - 25, -u*y + 0*p = 5*p + 14219975. What is y rounded to the nearest one hundred thousand?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-225)\/15)*15\/(-2). Which is the nearest to -1\/3? (a) 0 (b) -0.2 (c) 0.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*c - 16 = 0, p - 2*c + 0*c = 4. Calculate the common denominator of (-2)\/(-24)*42*(-43)\/(-7) and 459\/165 + p\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/5)*f\/((f\/(f*f**(-9))*f)\/f)*(f\/((f\/(f*(f**(-8\/5)\/f)\/f)*f)\/f))\/((f*f*f**(-1\/3)*f)\/f) assuming f is positive.\nAnswer: f**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7.4*0.3\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -73*i - 119. Let g be r(-2). Sort -0.4, g, 0, 53 in descending order.\nAnswer: 53, g, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164*y**2 - y**3 + 69*y**2 + 636*y**2 + 3*y**3.\nAnswer: 2*y**3 + 1869*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/3 + 3046*l**4\/3 - 1295710*l**3\/3 + 3868834*l**2\/3 - 3862732*l\/3 + 1286560\/3 = 0.\nAnswer: -1870, 1, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 17 + 2)*(-15*u**3 - 48*u + 48*u) in the form f*u**3 + t*u**2 + q*u + h and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*i - 96*i + 45*i = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 3:33 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/42901677 and 69\/119470.\nAnswer: 429016770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -56*i**3 - i - 1. Let k = -6 - -5. Let j be v(k). Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 24 = -5*v. Let u = v + 10. Suppose 842 + 118 = u*y. Round y to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 26*p**2 + 14*p**2 to m + x*p + j*p**2 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -8\/5 (c) -21\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(x - 2*x**2 - x) - 6*x**2 + 0*x + 0*x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 0 - (-6 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 16. Let f = 9.8 - h. Let n = 0.3 - -0.2. Which is the second biggest value? (a) -1 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289182?\nAnswer: 2, 3, 48197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301\/533 - -20\/41. What is the closest to k in 0.3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/272 and -137\/143472?\nAnswer: 2439024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 14\/9, 7, -1\/10, -0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from mmnmo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.22 - -470.22. Let d = r + -461.99. Let t = d - 0.01. Which is greater: t or 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:13 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143 - 62. Let x = 79 - r. Which is smaller: x or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14967056*x**2 + 14635591*x wrt x.\nAnswer: 29934112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = 12*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iif when three letters picked without replacement from tftfiftfitmtmtittmm.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214828, -859233, -1933242, -3436855, -5370072?\nAnswer: -7732893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 0*a + 0 - 1\/3*a**2 + 1\/3*a**3 + 2\/3*a**4 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 12 = 3*p, 116*p = -r + 119*p + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/(-20) - -11)\/(96\/240)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800449743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -137*u**2 + 10*u - 15. Let p(i) = 2398*i**2 - 176*i + 264. Let a(h) = -88*l(h) - 5*p(h). Let x(d) = 15*d**2. Calculate a(x(g)).\nAnswer: 14850*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3561668 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (202901 - -16)\/13 - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or -69.52?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*o**2 - 1128*b**2 + b + o**2 - 81*o + 5 wrt b?\nAnswer: 6*b**2*o**2 - 2256*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3.9, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.05, -1\/16, 1\/3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a factor of 18926893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (8 + 0 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142.71 + -142. Let s = 6 - f. Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 87 + (0 - 1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46875936 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 10*c + 15. Let q(f) = -f**2 - 5*f - 7. Let h(x) = -6*i(x) - 14*q(x). Factor h(o).\nAnswer: 2*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let o be r(-5). Let w = 15 - o. What is the least common multiple of w and 2\/(-4) - 46\/(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71278153 is divided by 295?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.136 - 120.864. Let k = p - -121.119. What is k rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211099.\nAnswer: 7, 53, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12119018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64600 (base 12) to base 2.\nAnswer: 100000010001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -19\/6, -5, 1, -2\/11, -0.7, 4, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 8*g + x + 3, g = 5*x + 4. Sort -0.1, -4, g in ascending order.\nAnswer: -4, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/60)\/((-15)\/(-360))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*y + 1704 - 1700 = 0, -5*y = 82*h + 482 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8527614 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -345*s*y*z + 9*s*y + 78*s*z + 8201751*y + 261*z wrt z?\nAnswer: -345*s*y + 78*s + 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14797, 14796, 14795, 14794, 14793?\n\"Answer: -m + 14798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2. Let b(r) = -r**2 + 203103*r + 1. What is b(t(n))?\nAnswer: -n**4 - 203103*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35.1 or 653?\nAnswer: 35.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6752 - 56?\nAnswer: 6685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 3*j + 25 + 94 = 0, 4*j + 18 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 14. Give b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 645257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 + 7.3. Let d = k - 4. Let w = 23\/3 + -8. Which is the third smallest value? (a) w (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*w + 10055294 = 0, 3*q + w + 19067876 + 11098022 = 0. Let v = q + 22055300. What is v rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 103.8. Let r = p + -10. Let s = -131 - -915\/7. Which is the third smallest value? (a) -1\/3 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 175 - 170 - g + 36*g as w + d*g and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 64914, -1, 3 in decreasing order.\nAnswer: 64914, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-14))\/(10\/(-10) + -2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -19. Suppose -5*y - 3*x = -27 - 0, 4*y = x + 25. Let g(q) = -3*q**2 + 7 + y*q**2 - 4*q**2. What is g(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12991070\/36 + -2*(-5)\/(-180) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209.76 + 1561.64. What is b rounded to the nearest ten?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47a (base 16) to base 11.\nAnswer: -952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7363 = -5*g - q + 18463, -5*g + 5*q = -25850. Is 42 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232707521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -18. Let k = -36 + 29. Let u = k - j. Solve 5*c = -u*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(7\/28*-6))\/(((-976)\/(-96))\/(-61))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/103500 and 149\/16920?\nAnswer: 9729000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304759 (base 10) in base 14?\nAnswer: -25d6d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v**2 - 2*v**3 + 5*v - 2*v**4 - 38*v**2 + 14*v**2 + 19*v to f*v + g*v**2 + u + h*v**3 + y*v**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-262)*(-128)\/192*18\/3.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 143*k + 3395. Let w be h(113). Let p(a) = -a**2 - 7*a + 22. Let s be p(-9). Sort w, -25, -3, s in decreasing order.\nAnswer: w, s, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 42 = -11*z. What is the third smallest value in -3.1, z, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. Let o(q) be the first derivative of -4 + 1\/2*q**2 + 3*q. Let x(d) = -d - 2. Calculate g*o(z) + 4*x(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -38 + m**3 + 42 - 6*m**2 - 2*m**3. Let k(s) = -s + 1. Let i be k(7). List the prime factors of h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = -30. Let r = -7 + g. Solve -i = r*k - 10, 0 = -0*k + 2*k + 2*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -291681504 divided by 199236\nAnswer: -1464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, -3\/4, 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 173 - 84\/5*v**5 + 0*v**4 + 0*v**3 + 0*v - 99*v**2. What is the second derivative of l(f) wrt f?\nAnswer: -1008*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 810*h**2 - 668868*h - 20582528.\nAnswer: -(h + 32)*(h + 1604)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 4*j + 24. Suppose 0 = -5*m + 4*m. Calculate the lowest common multiple of 15 and a(m).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1480, -2967, -4456, -5947?\nAnswer: -7440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -16. Let u = -4 - -2. Sort u, -3, v in ascending order.\nAnswer: -3, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)*-2)\/sqrt(4))\/(-1*sqrt(125)))**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108.3 - -107.9. What is the biggest value in -5.8, x, 2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 15 - 9)*(2*n + 0*n - n) in the form i + a*n and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 4*z - 3. Let y(l) = l + 6. Let k be y(-6). Suppose k = -2*q - 0*q + 26. Suppose 5*b - j = -0*j + q, -5*j = -5*b + 5. Give f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43\/3, -5, -1\/3 in ascending order.\nAnswer: -5, -1\/3, 43\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14*z**2 + z + 1. Calculate the remainder when 25 is divided by v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75 + 36 + 36)*(4 - 2 + 0 + (4 + 4 - 6)*(0 + 4 - 2) - 1 + 1 + 1 + 5 + 2 - 4)*(6*k + k - 2*k) as t*k + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 - 781\/3*f**2 + 0 + 260\/3*f = 0. Calculate f.\nAnswer: 0, 1\/3, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0698267717 + -0.069822. What is k rounded to seven decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = 11. Let x = -20 - -18. What is the common denominator of ((-44)\/(-18))\/(x\/(-6)) and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 62, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let h(b) = -2*b + 0*b - 16*b + 6*b. Calculate t(h(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3601 - -3509. What is the highest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(35)\/sqrt(5)*2 - sqrt(14)\/sqrt(2)*-3) - -2*((sqrt(1008)*1 - sqrt(1008)) + 0 + 5))**2.\nAnswer: 70*sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/21650 or 1?\nAnswer: 37\/21650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3683 - 3920. Sort 3\/5, -0.3, v.\nAnswer: v, -0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59914 = 1758*g + 8262 - 1581 + 89867 for g.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 6*x**2 - 28*x - 46. What is the derivative of r(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171253*-2.\nAnswer: -342506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 547\/547*10\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = -2*g - 0, 3*g = 5*k - 3. Solve 2*s - 12 + 8 = k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-1\/5)*o*o)\/o)\/o**(-3\/4))\/(o**(6\/7)\/o*o**4) assuming o is positive.\nAnswer: o**(-43\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1996153 and 2980?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 43, 110, 213, 358, 551, 798?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c = -31*c - 5380. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**5\/30 - i**4\/8 - 2*i**2 - 4. Let p(m) be the second derivative of n(m). What is the second derivative of p(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 26. Let p = 19 - 9. Solve 2*n - 5*k = 1 - p, k = -2*n - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 87949.8 millennia?\nAnswer: 1055397600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 26*r = -6. Let y be 2 + (4\/28 - (-4)\/(-28)). Solve 0 = -4*s - y*o + r, -s + 3*o + 11 = -1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 528358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129203933.\nAnswer: 19, 283, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjqjjojjoojjjjjjj. What is prob of sequence jojo?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 13*b**2 + 15*b - 6. Calculate l(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -2*g**4\/3 - 7*g**2 - 7*g. Let i(v) = -3*v**2 - 5. Let t(y) = 11*i(y) - 4*m(y). Calculate t(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.029 greater than 0.3265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295603 is divided by 58998?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 78, 230, 424, 654, 914, 1198?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29611 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 541 + 35*c**2 + 541 - 29*c**2 - 17*c.\nAnswer: 6*c**2 - 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 1496 + 13056 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -0.18, -2, 4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -4 (c) -1129\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298455023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + ((1 + sqrt(1584) + sqrt(1584))*3 + sqrt(1584) - (sqrt(1584) + 2 + sqrt(1584))*6))*1*2 + -1)**2.\nAnswer: 4320*sqrt(11) + 158724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 270*g + 5175.\nAnswer: -5*(g - 15)*(g + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5922651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 22 = -0*w - 2*w, f + 3713*w + 11757 + 17951 = -4*f + 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.02 - 0.02. Let z = 4 - d. Which is the smallest value? (a) 0 (b) z (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 - -121. Let m be (72\/(-40))\/(3\/30*u). Suppose 44539 = m*v + 2*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317903184 divided by -18264?\nAnswer: 17406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-9)\/5)*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u**(-14\/5)\/u*u)\/u)\/u)\/u**(-5\/2)*u*u\/(u\/u**(-21\/2))*u**(-33))**28 assuming u is positive.\nAnswer: u**(-5992\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-19*78\/(-21489))\/(6\/870)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3019803?\nAnswer: 3, 19, 31, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 245, 330, 429, 536, 645, 750, 845?\n\"Answer: -u**3 + 13*u**2 + 53*u + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*p + 43780 - 43759 = 0, 5*s = 4*p + 27 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 16. Let a be 1 + 1 + (4 - 2). Solve 8 = a*n - 2*o + o, 0 = 3*n + o - v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/19280 and -23\/17352.\nAnswer: 173520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4\/2 + 3*y**3 + 36*y**2.\nAnswer: -3*y**2*(y - 6)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2233547*d**3.\nAnswer: 2233547*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105707 - 105706.92. Let w = 2 + -2.1. Let t = w + 0.6. Which is the second smallest value? (a) -0.5 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -81 and -237932.\nAnswer: -238013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 6*y**2 + 6*y - 3. Suppose 5*m - 12 = -37. Determine g(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/30*3 - (-240)\/100. Let q(b) be the second derivative of -7\/18*b**3 - 1\/3*b**i + 9*b + 7\/60*b**5 + 1\/18*b**4 + 0. Solve q(j) = 0 for j.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-242) + (-20446344)\/659208.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 2)*(-4124*p + 2924*p - 3600*p) in the form m + t*p and give t.\nAnswer: 28800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130234 and 221.\nAnswer: 2213978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 12*g = 3*c + 15, -2*g = 3*c + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j + 0*j + 1 - j - 1 + (-j + 0*j + 3*j)*(-1 - 1 + 4))*(3*j - 3*j + 2*j)*(-61 + 61 + 13*j**2).\nAnswer: 156*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.14318 centimeters to micrometers.\nAnswer: 531431.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9468748 micrograms in milligrams?\nAnswer: 0.0009468748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32232557*m**3 - 33*m + 32232487*m**3 + 33*m.\nAnswer: -70*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 307359 divided by -9\nAnswer: -34151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2. Let k(q) = 241*q + 308*q - 9*q + 59*q + 42*q. Calculate k(b(g)).\nAnswer: -4487*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 40*f + 690. Let j(i) = -2*i**2. Calculate h(j(s)).\nAnswer: -80*s**2 + 690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2399 by 1009.\nAnswer: 2399\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 10 - (-39 + 18 + 63)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**3)\/t**3*(t\/((t*t**2\/t)\/t))**(-3\/14) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*f + 208 = 201, n + 2*f = 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 131, 263, 395, 527, 659, 791?\n\"Answer: 132*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11618 and -0.1.\nAnswer: 1161.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 13*u - m, -8537*u + 5*m + 12 = -8541*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**10*w**(-2\/61)\/w*w)\/(w**2*w\/(w**(-39)*w)*w) assuming w is positive.\nAnswer: w**(-3113\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -2.2, 458, -119?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((2 + sqrt(700) - sqrt(700))*-3 + sqrt(700)) - -2*-5*(sqrt(700)*-2 - sqrt(700)))**2.\nAnswer: 17280*sqrt(7) + 404496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Suppose p = -2*p. Let w = d + p. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -368, 0, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1574, 3224, 4874, 6524, 8174?\nAnswer: 9824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - -2862a?\nAnswer: 28658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3093, 6094, 9105, 12132, 15181, 18258?\nAnswer: 21369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 4*j**2 - 4*j + 7. Let d be r(-5). Let g(v) = 51 + d*v - 3*v - 50 + 38*v**2. Is g(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776 = -2*x - 118*x + 23*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 1\/10*j**2 + 1\/50*j**5 + 2 - 1\/15*j**3 + 2*j - 1\/150*j**6 + 0*j**4. Let h(u) be the first derivative of t(u). Factor h(v).\nAnswer: -(v - 1)**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 13*k - 22. Let p = 705 + -718. What is o(p)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -a - 2*a. What is the lowest common multiple of 8 and 10\/15*(-2)\/((-8)\/a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 1806.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 11 = -o + 474, 3*g + 2425 = 5*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-152*m - 1114 + 1114)*(2*m + m - 5*m)*(-3*m**2 + 0*m**2 + 2*m**2)*(-3 + 8 - 13) as k*m**3 + z*m + q*m**2 + p + o*m**4 and give o.\nAnswer: 2432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -424 - -1175. Let s = d + -759. What is the second biggest value in s, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 5*b**2 + 27. Let v(u) = -u - 2. Let c be v(-2). Let l be r(c). What is s in -36\/5*s**3 + 0*s - 111\/5*s**4 + l*s**5 + 12\/5*s**2 + 0 = 0?\nAnswer: -2\/5, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -12. What is the smallest common multiple of 12\/(-3 - n) + 10 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - n - 38, 5*v = -n + 52. Let p(m) = m**2 - 13*m + 14. Let s be p(12). Let d be (-4)\/(-8)*4\/s. What is the greatest common factor of v and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -42, -90, -156, -240, -342, -462?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 q when four letters picked without replacement from {r: 5, h: 2, q: 2}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 5\/6 (c) 1 (d) 0.9 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.21134 litres to millilitres.\nAnswer: 90211.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(14 + 0) + 63286\/4. Suppose -5*b + 39549 = -4*q, 5*b = 3*b + 3*q + f. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 21. Suppose -b - 2 = -0*b. Let y = 0 - b. What is the least common multiple of w(-12) and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-12)\/(-45))*(-4)\/6. Suppose 5*z + s = 9, -4*z - 2*s = -8*z + c. Let a(p) = -2*p**3 + 3851*p**z + 3*p**3 + 2*p - 4 - 3844*p**2. Calculate a(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*f + 13 + 156, 2*j - 5*f = 65. Calculate the greatest common divisor of 1300 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84803 less than -6.31?\nAnswer: -5.46197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times 0.28?\nAnswer: 0.0588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + s - s + (-s + 4 - 4)*(-1 - 2*s**2 + 1) - 50*s + 50*s - s**3 to the form w + m*s + h*s**3 + v*s**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15215.\nAnswer: 5, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -5 (b) -445 (c) 15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 2, k: 1, u: 7, s: 1, p: 2}. Give prob of picking 1 u and 1 p.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-21)\/(-14) + (-13)\/(-6). Factor -n**3 + m*n**2 + n - 2\/3.\nAnswer: -(n - 1)*(n + 1)*(3*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*i + 16 = -2*w + 241*i, w - 2*i + 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2254 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t = 0. Suppose t*m + 6 = m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 2*p - 3. Let y be h(2). Is 2\/y - (-238)\/6 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 334*q + 41. Give n(-1).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 406309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwrh when four letters picked without replacement from {h: 1, w: 3, r: 1, d: 1, a: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42180000 rounded to the nearest one million?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*w + 17, 5*n - w + 3*w + 13 = 0. What is the closest to 0.2 in -0.4, 0.158, n?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = -2*p - 4, -4*m + 3*p = 22. Let c(h) = -24*h**3 + 0 + 2*h + 23*h**3 + 5*h - 6*h**2 + 8. Give c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 44*l**3 - 4499*l**2 + 1124*l - 238. What is d(102)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 m when three letters picked without replacement from {t: 3, m: 2, y: 1, f: 9, p: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 326132 times 2\nAnswer: 652264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.7 - -7. Let v = -1270 + 1269. Which is the smallest value? (a) g (b) v (c) 1\/2 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7823655 and 8505?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100110000111000 (base 2) to base 11.\nAnswer: -80576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(11\/6)*p*p**30)\/(p**(-1\/3))**(28\/9) assuming p is positive.\nAnswer: p**(1829\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2125 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1336523\/30 + 44546. Find the common denominator of t and 7\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2*(264\/20 - 12). Solve s*n + 4*q = 19, -4*q + 13 + 11 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l\/(l\/(l\/l**(2\/19))))\/l)**21 assuming l is positive.\nAnswer: l**(756\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 r, and 1 a when four letters picked without replacement from aarvaravaaaarara?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 15. Suppose -74 = -3*c + p. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11490878*b*k**5 - b*k**3 - 115574*b*k - 85*b wrt k?\nAnswer: 229817560*b*k**3 - 6*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 + 177*c**2 + 542*c - 321. Give k(-32).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234206939 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 537862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 2*a**2 - 3*a**2)*(4*a**2 - 11*a**2 + 5*a**2 - 22).\nAnswer: 2*a**4 + 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -3)*(5 - 4). Suppose 31 = 2*p - 2*d - k*d, 3*d + 12 = -p. Suppose -t + 9 = 2*o, -p*o = t + 7 - 20. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2221 (base 6) to base 5\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 672613 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 13*m - 87. Let d(p) = 14*p - 91. Give 3*d(n) - 2*i(n).\nAnswer: 16*n - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 38*w**2 + 185*w + 8. Determine t(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 294168784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)\/a)**(25\/4)*((a*a\/a**(2\/3))\/a)**4)\/((a\/a**1)**(-42)*a**1*(a*(a*a**(-4)*a*a)\/a*a)\/a) assuming a is positive.\nAnswer: a**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5184 and 1296.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 530208193 to the nearest integer?\nAnswer: 23026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -5 (c) 1\/613 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 12. Let z(y) be the third derivative of 0 - 1\/30*y**5 + 2*y**2 + 0*y**a + 0*y + 1\/24*y**4. Find the second derivative of z(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 3039*h**2.\nAnswer: 3*h**2*(h - 1013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7016245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43793, -43803, -43813, -43823?\nAnswer: -43833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 7 - 10 + 4 + (29 - 4*n - 29)*(0 - 2 + 5) as o*n + p and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)*f*f)**(8\/3)\/(f**3*(f\/(f**(-1\/6)\/f))\/f))\/((f\/f**(-1\/9)*f)\/f**(-2\/3))**(-2\/19) assuming f is positive.\nAnswer: f**(-413\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 104\/(-18))*27. Let n = -2 - -3. Let g = n - k. Let z(s) = s - 6. Calculate z(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168792 is divided by 2830.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149209*p + 23 = 149186*p. Let h(k) = 2*k. Let o be h(1). Let q(x) = 5*x - o + 1 - 12*x. Determine q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 362 = -2*f + 2*v, 3*f + 3*v - 210 = 0. Let b(g) = -g**3 + 14*g**2 - 25*g + 91. Calculate the remainder when b(12) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22810, -45608, -68406, -91204, -114002?\nAnswer: -136800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -16. Suppose -3*c = -4*c - 2*z - 22, 0 = -s*z - 2. Let n be 62\/80 + c\/50. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 + 8*f + 4. Calculate a(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 54. Let g = 60 + w. Suppose -g*f + 7 + 68 = 0. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/6 and (-90)\/954*(-1)\/(-2).\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250c (base 13) in base 12?\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145629 (base 10) to base 11.\nAnswer: -9a460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.69 times -0.85?\nAnswer: -20.9865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 426261132 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czy when three letters picked without replacement from {x: 1, z: 1, c: 1, m: 1, y: 1, v: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 429176394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 2:31 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1494957 is divided by 1494942?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -44.3. Round a to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13713, 13715, 13719, 13725, 13733?\n\"Answer: o**2 - o + 13713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.203, -4, -0.1.\nAnswer: -4, -1\/2, -0.1, 0.203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 53.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:36 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3130222231033 + -20?\nAnswer: -3130222231113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 675, 1351, 2031, 2715, 3403, 4095?\nAnswer: 4791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8705871 and 3869276?\nAnswer: 34823484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816535 is divided by 1756?\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 84, 128, 172, 216, 260?\n\"Answer: 44*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 2 + sqrt(1331) - sqrt(33)\/(sqrt(18)\/sqrt(6)) - (4 + sqrt(704) + -1 + sqrt(704) + 5 + -1*sqrt(704)))**2.\nAnswer: -156*sqrt(11) + 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*w + 19513, 13*i - 9*i = 4*w + 19516. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 41*k - 30 + 115*k in the form j*k + p and give j.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 152. Is i(38) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873126623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 879794 != 879794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -443.7 and 5.\nAnswer: -2218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13050205 (base 6) to base 4.\nAnswer: -1220013131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104.97 + 109.97. Sort -13\/2, -187, a, -2, -2\/9 in increasing order.\nAnswer: -187, -13\/2, -2, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - -20. Suppose 9 = 3*c + j. Let o be 1\/(-4) - 154\/c. Solve 4*a - o = -u, 3*u = 3*a - 1 - 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687422 at least 687423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9 - 2 - -1)\/(8846\/212304).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (1 - (4 - -2)) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1211403443 (base 5) to base 7\nAnswer: -33102105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309 and 48209459?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 2. Let d(m) = -14 + 9 - 7*m - m**2 + 0. Let b = 0 - 2. Determine b*d(p) - 5*o(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 25*k**2 + 49*k - 16. Calculate d(-23).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1162*j - 16256. Suppose -3*d + 134 = 5*c, 2*c + 0*c = 5*d + 66. What is the least common multiple of c and o(-14)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgbgzzbg. Give prob of picking 1 z and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 - 27*u - 170. Determine k(-8).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -3*d + 12, -m = -2*d + 8. Let g(h) = h**2 - 5*h + 4. Let z be g(d). Let l(a) = -a**2 - a + 7. Is 7 a factor of l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 5:17 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - 3*m)*(2*m - 3*m + 3*m)*(-1 + 1 - 1)*(8 - 15 + 5).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**0*n))**(-40\/9)\/(n**(-5)*n**(-7)\/n) assuming n is positive.\nAnswer: n**(157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3757*x**2 - 2704. Let d(g) = -g. Give o(d(n)).\nAnswer: 3757*n**2 - 2704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -23*w**7\/210 + 11*w**3\/6 - 12*w**2. Find the first derivative of v(q) wrt q.\nAnswer: -92*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 4*m + 0*m)*(-5*m + 0*m + 3*m)*(m + m - 3*m) - 4*m**3 - m**3 + 3*m**3)*(2 - 4 - 1)*(-2*m**2 - 10*m**2 + 3*m**2).\nAnswer: 54*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42)\/14 + 27 + 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -626486.925 to the nearest ten.\nAnswer: -626490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011869914 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5257274 * -0.37.\nAnswer: 0.564519138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -0.509.\nAnswer: -0.00509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 935119 - 757?\nAnswer: 934472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21773 - 21771. Determine w so that -9\/7*w**t + 11\/7*w - 2\/7 = 0.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4190694 and -97\/66822.\nAnswer: 29334858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4\/5 (b) 1\/26 (c) 8 (d) -0.2 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 w, and 1 l when four letters picked without replacement from wzowozowogwwzlo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1237 or 0.01?\nAnswer: 1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692108487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10926 less than 10925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8464 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 2.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = k - 68. Let p(l) be the first derivative of 8\/3*l**3 + 0*l**2 + k*l + 5. What is the first derivative of p(a) wrt a?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 440 - -4?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21571, 43831, 66115, 88423, 110755?\n\"Answer: 12*s**2 + 22224*s - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z + 23 + 35 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188556 divided by -47139.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11135775 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 - -180. Let i = 40 - n. Suppose 0*t + 5*z = -i*t + 838, 3*z = -t + 213. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9d078 (base 15) to base 10.\nAnswer: 499613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156583109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 3601 + 3435 - 2500. What is the smallest common multiple of c and 1?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2932093 is divided by 20504.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 7*a - 4. Let c be m(-8). What is the remainder when 12 is divided by (-2 - -5) + c\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -185, -779, -1779, -3185, -4997, -7215?\n\"Answer: -203*o**2 + 15*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00485603 rounded to five decimal places?\nAnswer: -0.00486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397187130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 219*q + 214. What is the tens digit of w(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0152 * 3\nAnswer: -0.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -469*b**4 + 18*b**3 - 2*b + 38482 wrt b?\nAnswer: -1876*b**3 + 54*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -5, -63110.9, 2\/5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (17 - 7) + 1 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6571 + 6568. What is the third biggest value in 1\/9, 5, -10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 648.335 litres?\nAnswer: 648335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 371\/780 - -55\/52. Let b be (4 - 10\/15) + 2\/(-6). Is r at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -689, -2466, -6605, -14288, -26697, -45014?\nAnswer: -70421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 420, 773, 1268, 1941, 2828?\nAnswer: 3965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 26 - 1. Suppose -f + r*f - 12 = 0. Let j = 908 + -902. Solve 0 = -f*o + 3*z + 7 - 4, 2*z + j = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)*a\/(a**0\/a*a)*a*a*(((a*a**3)\/a)\/a)\/((a*a**(1\/5))\/a*a) assuming a is positive.\nAnswer: a**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1093518 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12*-2)\/(2*(-2)\/(-56))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -200707 or -6422577\/32?\nAnswer: -6422577\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/956? (a) 9 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*(-108 + 10387\/94)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.22 > -6212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 333, 0.8, 493.\nAnswer: -10, 0.8, 333, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 8*y**2 - 8*y - 4. Let q be k(-7). Let p = q + -9. Let f = -3 - p. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 1. Let q be 32\/56 + 10\/7. Let h(g) = 10 - 3*g + 3*g**q - 10 - 6 + g**3. Give h(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**5\/12 + x**2 + 3. Let j(p) be the second derivative of m(p). Let g(y) = -2*y**2 + 5*y**2 - y**2. Calculate g(j(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 869983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000100 (base 4) to base 5.\nAnswer: -32010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 4*b - 25, -m = -2*b + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 8 - 5*g + 3)*(9*g + 3*g + 3*g).\nAnswer: -75*g**2 - 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2622.5*-218.\nAnswer: -571705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 30\/29 (b) 3\/2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 3*y**2\/2 - 18*y + 984. Calculate t(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2. Let p(d) = -515*d**2 - 1. Calculate p(u(l)).\nAnswer: -4635*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 = -5*y - 0*y, -5*y + 3 = -l. Let k(j) = -5 - 3*j + 8*j**l + 0*j**2 - 11*j**2 + 4*j**2. Let c(h) = 3*h**2 - 9*h - 14. What is 3*c(v) - 8*k(v)?\nAnswer: v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-five quarters of a microgram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/15 + 120\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 9*u**2 + 11*u + 10. Let b(x) = 3*x**2 - 2. Let k be b(-2). Let d be n(k). Solve -2*l - d = -q - 3*q, 19 = -4*l + q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2638 is divided by 322?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - 8\/112. What is the second biggest value in 0, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112354 (base 10) to base 4.\nAnswer: 123123202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 80 = 3*m. Let p = m + -6. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 39938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 4628.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4796 + -2365.7. Round z to the nearest 10.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26714 + -26713.953681. What is b rounded to four dps?\nAnswer: 0.0463","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(110)*-2 - sqrt(110)))\/((sqrt(810) - sqrt(810)*1) + sqrt(810)) + (-3*sqrt(396)*3*5)**2.\nAnswer: 4*sqrt(11)\/3 + 801900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 203?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 4*z**2 - 2*z**4)*(-1 + 2 - 1274472*z + 1275418*z).\nAnswer: -1892*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -3141031?\nAnswer: -3141034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*1 - ((-8073)\/1500)\/(405\/675).\nAnswer: -3\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -24689 + 24689 - 7*c. Let l(p) = 6*p + 9. Give n(l(v)).\nAnswer: -42*v - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 bigger than 1844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**7\/280 + x**6\/360 - x**3 + 3. Let s(q) be the third derivative of r(q). What is the third derivative of s(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a century in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581 = 4*h - 203. Suppose -h = -3*d - 64. Calculate the greatest common factor of 396 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:58 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**5*o**2 + 2*l**5 + 77*l**2 + 7477*l*o + 20*o**2 wrt l.\nAnswer: 80*l**3*o**2 + 40*l**3 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 792 and 132?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.058 - -0.058. Let s(y) = -y**2 + 6*y + 38. Let f be s(-8). Let l = f - -77. What is the fourth smallest value in 2\/3, o, 0.15, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64020 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*t + 41*t - 5. Let l(z) be the second derivative of -1\/6*z**3 + 4*z + 1\/40*z**t + 0*z**2 + 1\/24*z**4 + 0. Let l(d) = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 570 - 395. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123390420 divided by 6\nAnswer: -20565070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(-1 + 5 - 2) - 1 + 3 - 4 + 11 - 7 + 6)*(-3 - x**3 + 3 + (0 + 0 + x**2)*(3*x - 5*x + 0*x) + 2 + x**3 - 2).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19356*s - 5069*s - 4516*s - 7046*s)*(2*s - 2 + 2).\nAnswer: 5450*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 66*q + 83. Calculate u(-32).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 - 3032*o**2 + 15236*o - 18312 = 0. What is o?\nAnswer: -763, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -1942, -3964, -6288, -8614, -10642, -12072?\nAnswer: -12604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -22956, 5, -3, -148, 3, -2 in ascending order.\nAnswer: -22956, -148, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208467?\nAnswer: 3, 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7669243 + -7669242.89842533. Let c = y + 1.27842594. Let g = c + -1.38. What is g rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 67.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 18*m**2 + 2*m**3 - m**3 - 5.\nAnswer: m**3 - 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1984 and 45\/392?\nAnswer: 97216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-21))\/(6\/4) + (-114528)\/(-216). What is the highest common divisor of 90 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 793, 1780, 2707, 3544, 4261, 4828, 5215?\nAnswer: 5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -4.6.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v**2 + 36*v**2 - 7*v**2 + 7*v**2 - 4*v**2 in the form r*v + w + h*v**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-6 - -12) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (318\/24 + -14)\/((-18)\/(-96)). Let g(t) be the third derivative of t**5\/60 - t**4\/24 + t**2. Let v(l) = 7*l**2 + 4*l. What is c*g(z) - v(z)?\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6851*p**2 + 648*p**4 + 2*p - 6851*p**2 - 1 - 14*p**3 - 42*p**4 + 4*p**3 to q*p**4 + i*p**3 + f*p**2 + m*p + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z*z*z*z\/(z*z*z**(-7))*z)**(-4\/7)\/((z**(1\/3))**(-2\/117))**(2\/19) assuming z is positive.\nAnswer: z**(-26672\/6669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:10 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(27) - sqrt(19)) + 4 + 1.\nAnswer: -2*sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -4.2. Let l = 213.8 - 211.2. Let k = l + j. What is the closest to 0 in 5, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235788739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -229 (c) 4 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*l - 275*l + 862*l - 286*l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 4, 8 in ascending order.\nAnswer: -1, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 1.3. Let w = 0.3 + a. Sort w, -0.2, -4 in ascending order.\nAnswer: -4, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 2 c when four letters picked without replacement from {m: 1, c: 2, h: 1, n: 2, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 165 = -5*s, 0 = -u + 2*s - 7*s + 51. Calculate the highest common factor of 116 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15)*480\/(-432)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqjby. What is prob of picking 1 q, 1 b, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 141*c**3*x - 29*c**2*x + 10*x + 234 wrt c?\nAnswer: 423*c**2*x - 58*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (33 - (-4 - -9))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + -5542?\nAnswer: -5561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4493579 and 4002?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-9)*z)*z**(7\/5))\/(z**(-8\/9)\/z**(-2\/9)) assuming z is positive.\nAnswer: z**(151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1086*l**2 - 25*l = 0. What is l?\nAnswer: 0, 25\/1086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t + 102 = -39*t. Let a be 6120249\/(-51) - 4\/t. Let u be (-3)\/(-12) - (0 - a\/20). Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*g - h, h + 16 = -2*g - 2*h. Let r be 3\/15 - 14\/g. Suppose -8*i = -6*i - 4. Solve 6*n - 7 = -i*x + r*n, -n = 5*x + 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*g - 435 + 6724 = -6767. Calculate the smallest common multiple of 11 and g.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1 + -4 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - 4) + 0 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -3, 45 in ascending order.\nAnswer: -4, -3, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f + 1. Let b = -18 - -24. Calculate l(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 11, -3 in decreasing order.\nAnswer: 11, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/171 and -119\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.34 - 1.3. Let y = 119 + -120. Sort 2, y, v in descending order.\nAnswer: 2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416830?\nAnswer: 2, 5, 73, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o**2 - 5*o - 3. Let w be n(-1). Suppose 3*b - 5*z = w, -4*b + 16 = -3*z - z. Suppose -144 = b*f - 6*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60779021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2236948 and 1616.\nAnswer: 8947792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*z + 249*z - 1192 = -232. Solve -3*r + 78 = z for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4536 divided by 7?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n*n**(-2\/3))\/n*n))**(22\/9)\/(n**(-1\/2)*n**(-3\/5)\/n) assuming n is positive.\nAnswer: n**(347\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n, 4*n = 2*j - 189 - 3. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 2, z: 1, y: 1, q: 2}. What is prob of picking 1 y and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 8. Let j = 1 + 2. Let t be 4 + 3\/(j\/2). List the prime factors of s(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*i**2 - 12*i**2 - 27*i**2 - 1 - 70*i**2 to t*i + x + w*i**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 27. Let i(c) = c**3 + 6*c**2 - 6*c + 4. Let h be i(-7). Put d, h, 1 in descending order.\nAnswer: 1, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 121262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(20\/3)\/d*(d**(-3\/32)*d*d*d)\/d)\/(d**(1\/39)*d**(-21\/5)) assuming d is positive.\nAnswer: d**(73303\/6240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 5*r + 8. Let s be y(7). Suppose -23 = 5*o + s. Let a = 17 + o. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110880 and 78540?\nAnswer: 1884960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4 - 6*q - q**2 + 5*q + 28. List the prime factors of x(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -170, -291?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - b - 2 = -1, -4*n - 5*b = 7. Suppose 3*a + q - 4 = 23, -n*q + 46 = 5*a. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*j = 6*j - 2024 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*h - 609 = -2315 - 758. Suppose 0 = -0*r - 2*r - 4*q + 12, -15 = r - 5*q. Solve l + 1 = -3*n, 4*l = -5*n - r*l - h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -20 + 8 + -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*l**4 + 2510*l**2 wrt l.\nAnswer: 936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17118979588 minus 227?\nAnswer: -17118979815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2691)\/13)\/(9\/(-12)). What is the highest common factor of 483 and w?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.156 - -0.156. What is the third biggest value in -7, 2, r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*k, 337 - 1722 = -5*m - 3*k. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 13. Let g be 3016\/65 + (-12)\/(-20). Let n = g - x. Is n less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u**5\/5 + 1812*u**4\/5 + 1046*u**3\/5 - 181796*u**2\/5 + 849128*u\/5 - 1009008\/5 = 0. Calculate u.\nAnswer: -99, -13, 2, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1778035 and 1.5.\nAnswer: 1778036.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8)**36*(d*d**(-1\/11)\/d*d*d)**(-15\/2) assuming d is positive.\nAnswer: d**(6021\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10*r**2 + 9. Let b(i) be the third derivative of -i**5\/20 + i**3\/2 - 2*i**2. Let d(y) = -7*b(y) + 2*o(y). Differentiate d(h) with respect to h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*k**2*m**3 - k**2*m + 148*k*m**3 - 10*k - 10*m wrt m?\nAnswer: -72*k**2*m + 888*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -54. Let g be (-8)\/z + (-8)\/28. Suppose 3*f - f + 4*m = 240, g = -5*f + 3*m + 587. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1300, 4644, 10028, 17452, 26916?\n\"Answer: 1020*x**2 + 284*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -567690*x**4 + 2925*x**2 wrt x?\nAnswer: -13624560*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*(sqrt(2304) + sqrt(2304)*-1 + sqrt(2304)))\/(5*(((sqrt(1452) - 2*sqrt(1452)) + sqrt(1452))*5 - sqrt(1452) - sqrt(1452))).\nAnswer: 4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:07 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140352 = 3*n + 2*o, -181*n - 2*o - 140364 = -184*n. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -3\/8, 2, 13375\/3.\nAnswer: -3\/8, 2, 50, 13375\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375\/(-99) + (0 - -3)\/(-27) - 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 12:20 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/25)\/((-1)\/(-10)). Let f(v) = 5*v**2 + 5. Let b(h) = h**3 - 9*h**2 - 36*h - 5. Let r be b(12). Let g(z) = -5*z**2 - 4. Determine a*f(i) + r*g(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efs when three letters picked without replacement from seneeffqneen?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:32 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233320 - -1111?\nAnswer: 301031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 693.0094 litres?\nAnswer: 693009.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45584517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58607669 is divided by 3410.\nAnswer: 3409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:32 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -0.1611356.\nAnswer: -0.1611356, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602065 divided by 3?\nAnswer: 867355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -277*l - 279*l + 557*l - 368 as g + y*l and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/36250485 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 247*5\/(-510) - ((-32)\/(-12) + 385\/(-77))?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -36, -9, -51, 645 in increasing order.\nAnswer: -51, -36, -9, 2, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773 divided by -591?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - 1*sqrt(102)*-3) - sqrt(102))\/(sqrt(216)*-2).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0*7644764\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -20. Let l = t + 14. Let q be (-6)\/(-27) - (-16)\/9. Sort -5, q, l in increasing order.\nAnswer: -5, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let w(a) = -2*a**2 + 27058952. What is z(w(s))?\nAnswer: -2*s**2 + 27058952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -789 - -837. Suppose -w = -27*q + 33. Let i be (-3)\/(-12) - (-15)\/4. Solve -i*g = -2*f + 30, 3 = q*f + 2*g - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**4 - h**4 + 5*h**4)*(7 - 25 - 117) + 3*h**4 + 6*h**3 - 3*h**3 - 25*h**3 to a*h**2 + o*h**4 + r + b*h + g*h**3 and give o.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 25, 3, 0.017, -2\/173, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 740 and 1036?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75811.99 kilograms?\nAnswer: 75811990000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0*v**7 + 0 - 1\/56*v**8 + 0*v**5 + 0*v**3 + 0*v**2 + 0*v**6 - 1\/3*v**4 + 3*v. Find the third derivative of c(p) wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/13)\/(i\/(i**6*i))*(i\/i**(1\/3))**(-1\/34))**(-1\/5) assuming i is positive.\nAnswer: i**(-3863\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 30*l - 5829. Determine c(-47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/20 + h**4\/2 + h**3\/3 - 7*h**2\/2 + 2*h. Let n be w(-5). Let z be ((-6)\/(-8))\/(2\/n). Solve 3*i = 2*i + z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 11*d**2 + 8*d + 52. Let u be l(12). Find the third derivative of -10*c - 2*c**5 + c**4 + 63*c**2 + 10*c + 2*c**u + 24*c**2 wrt c.\nAnswer: -120*c**2 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.013 in -0.5, 0.03, 9, -1\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 + 3*w**2 - 7*w + 1. Suppose -16*b - 3 = 109. Let n be v(b). Solve n*l - 8 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/5, 1\/3, -1\/55, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1734976993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 8) + 12 + -10 - (2 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 3*(-20)\/(-4). Suppose -b = -3*j - 2, -b + 4*b - c = 5*j. Let v(l) = l + 22. Let f be v(-15). Solve f = -3*t - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48547882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -330, -637, -944, -1251, -1558?\n\"Answer: -307*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1736 = 2*f + 7*f - 3556. What is the greatest common factor of f and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 3. Suppose c + 4 = -k, -5*k + 12 = -4*c + c. Let y(i) = -4*i + i + k*i + 5. Give -5*a(s) - 3*y(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 35*l - 6888 = 0. Suppose 2*k = -5*h + 975, 2*k - 2*h - 2*h = l. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -22. Let d = 10 + m. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2729 - -2690 - (0 + -44).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = 4*m + 7, -3*t = 5*m + 20. Let o = m + 23. What is the second derivative of -19*w**4 + o*w**4 + 11*w - 9*w**5 wrt w?\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 14 = 0. Suppose -3*a - l = -5*h + 6, -a - h = -1. Let u = 2 - a. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/13922651 and -17\/5.\nAnswer: 69613255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -287824161 and -6.\nAnswer: 1726944966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 603*w + 9359. Calculate b(283).\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-10)\/(-34)) - (-8 + 3). Suppose 4*m + m = 20, -8 = -3*t + m. Suppose -t*r = -4*a - 36, 0 = 3*a - a + 4*r + 24. Is a < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2517289314 to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 2, -4, -14, -28, -46, -68?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62370 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.509763 minutes in nanoseconds?\nAnswer: 450585780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1016 (b) -0.1 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1358.1243 to the nearest integer.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65 - -3?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 5*h + 2. Let m be o(-3). Factor -m*w**4 + 12*w**4 + 5*w**4 - 3*w**2.\nAnswer: 3*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q\/q**5)\/q)*q**0)\/((q\/q**(-2\/11))\/q**(1\/9)) assuming q is positive.\nAnswer: q**(389\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153 - -13. Let t be (-5)\/2*168\/q. Solve -t = 8*z - 9*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + -72. Suppose -5*t = 72 - 242. Suppose -5*k = -3*k - t. Calculate the greatest common divisor of g and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 8*t - 4. Let p be a(-7). Let s(w) = 4*w - 2. Let y be s(9). Suppose y = p*g + 7. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*i - 47, 144 = -q + 4*i + 155. Solve -3*s - q + 21 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 850, 1708, 2586, 3496, 4450, 5460, 6538, 7696?\nAnswer: 8946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5307338 is divided by 1769026?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10986222 and 488.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(3\/7))*a*a)\/((a\/a**9)\/a) assuming a is positive.\nAnswer: a**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7700 and 46200.\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 4*b - 4. Let v(d) = -d**2 + 5*d - 5. Give 5*c(z) - 4*v(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 499 + -849. Let z = 357 + b. Let g(l) = -2*l + 15. Determine g(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 820268350 to the nearest 1000000.\nAnswer: 820000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.7143 - 143.7192. Let k = 123 + d. Round k to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*a, -2*a - 139*k = -141*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = -r - 35 - 54, 4*r + 61 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 4796.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171) - -3*5*sqrt(171))))) - 5*(sqrt(171) - sqrt(171)*3))\/(-4*1*4*sqrt(729)))**2.\nAnswer: 19\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w**2 + w + 1. Let n(b) = -b**5 + 5*b**4 - 13*b**3 - 9*b**2 + 9*b + 9. Let j(c) = -18*i(c) + 2*n(c). Let j(h) = 0. Calculate h.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18796, -75158, -169086, -300574, -469616, -676206, -920338?\nAnswer: -1202006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4882963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2 + 8 + 3*o**2 - 3*o - 3. Is g(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-13)\/5 + (-4)\/10. Suppose -4*r = -5*j + 39, -h = -2*j - 0*r + 3*r. Let z(k) = 2*k + 13 + j - 46 + 18. Determine z(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k - 1. Suppose 5*h - 4*l - 25 = 0, -5*h = -0*h - 2*l - 15. Let q be f(h). Let z(g) = -2*g - 4. Let b be z(q). Which is smaller: -4\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -112*v**2 + 1. Let t(b) = 533*b**2. What is w(t(o))?\nAnswer: -31817968*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) + 2\/12. Let g(q) be the second derivative of -1\/12*q**4 + q**2 + 1\/6*q**3 - 2*q + 0. Calculate g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 790727788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q**4\/3 - 233*q**3\/3 + 38*q**2\/3 + 932*q\/3 - 88 = 0. Calculate q.\nAnswer: -2, 2\/7, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5345857 and 630421.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 6 - -2*95\/35\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338, -348, -380, -446, -558, -728, -968?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 497\/33 - 46\/3. Which is the third smallest value? (a) -0.5 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let h(l) be the second derivative of -6*l + 0 - 3\/2*l**3 + 0*l**2. Determine h(i(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/78 + 14\/(-126)*3)\/(3\/10).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 + 1310?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 13\/5078?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 180, 0.04, -1, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.5 (c) 864209 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14429291, -14429278, -14429265, -14429252, -14429239, -14429226?\n\"Answer: 13*i - 14429304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4268, -402, -2 in increasing order.\nAnswer: -4268, -402, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 - 1.1. Let i = d - 0.09. What is the closest to -1\/2 in -5, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from qbbbbqqbqqbbx?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {l: 4, p: 6, v: 2, h: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l + 4*l)*(-2*l + 0*l - 6*l).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18778255 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4282116304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27572727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by 6.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/27*(2 - 4\/(-40)). Is z > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 0, 4*g = -4*l + 6*l - 90. Sort 3, 5, g.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 + 29*t**3 - 10*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776169 is divided by 788?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*105\/(-30) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**2 - 5*a + 28. Let k be m(-15). Suppose 21*p - 7094 = k. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8301918?\nAnswer: 2, 3, 1383653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*r + 102 + 58 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 869*x**3 - x**2 + x - 1. Let p be r(1). Suppose -2*h + p = -92. What is h rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:52 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/1573 - 1539\/26741. Let y = -35.4 - -35. What is the third smallest value in 0.5, 5, c, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-27))\/(((-14)\/(-30))\/7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - 1101?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1754\/7 - -33242\/133. Calculate the common denominator of -11\/10 and n.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 + -145. Is n\/(-2)*9\/(-27)*-12494 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s + 189. Give p(-20).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18.01*-552258\nAnswer: 9946166.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3612\/13 + 278. Let k = -67.4 + 67. Which is the second biggest value? (a) -1 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1633804 divided by -67\nAnswer: -1633804\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from cfcwribbcbbrcbbbc?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 1:06 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.15, 0.1, 0.051?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3*(-2)\/3)\/((-10194)\/(-15291)). Let a = 0.4 - 0.9. What is the closest to 0.1 in n, -0.1, a, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2*(-10)\/5) + 3. Let d be (-233)\/(-840) - 2\/7. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42414)\/36 + 2\/(-15). Let p = g - -1180. Suppose -21\/10*x**4 + 49\/10*x**5 - 73\/10*x**3 + 12\/5*x + 2\/5 + p*x**2 = 0. Calculate x.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*l - 25 + 23 = 0, -7 = k + 5*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-616)\/110)\/28)\/(1\/((-6)\/(18\/5))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-12))\/((-31)\/62). Sort 2, p, -0.3, -0.5.\nAnswer: -0.5, p, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -53*j**6\/180 - 85*j**4\/24 + 97*j**3\/6 - 87*j**2. Let d(g) be the first derivative of p(g). Differentiate d(a) wrt a.\nAnswer: -212*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11802\/(-3388) - (-56)\/12*(-15)\/(-20)?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/113, -1, 5, -2\/15?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354*y**2 + 1075*y**2 - 3622*y**6 - 269*y**6 + 1312*y**2 wrt y?\nAnswer: -466920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 e, and 2 l when four letters picked without replacement from mmedllmuqmudedmddlmm.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Let c = -130 + 235. Suppose 4*m - k*z - 145 = 0, 2*m - z = -6*z + c. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000155328 to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221 + 226. Suppose 3*y = 2*s - 2749, 0 = -z*s + 6*y - 3*y + 6859. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*i - 95 = -114*i. Solve 2*m = y - 4*y + i, 5*m + 15 = 5*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**8\/84 - 3*p**4\/4 - 3*p**3\/2 + 17*p**2. Let u(h) be the first derivative of a(h). What is the derivative of u(w) wrt w?\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*w**3 - 5*w - 19 + 10 + 6 + 11*w**3 - 2*w.\nAnswer: -202*w**3 - 7*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5188717 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0) + (885 - 872)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-2533)\/170 - -15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*d - 20, 2*q = -4*d - 8 - 8. Solve q = 2*a + 2 + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 5, 1\/18, 30\/13?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.361 in 5, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -956, -0.5, -3 in descending order.\nAnswer: -0.5, -3, -956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 61. Let z be -5 - o - (-1 - -3). What is the tens digit of z - (4 - (242 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 21*w**2 - 20*w + 99. Let c be o(22). Suppose c*x = 135*x + 7088. List the prime factors of x.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175468661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54709 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sctssttfttctyftvt. What is prob of sequence cy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1584)*2 + (5*(sqrt(1584) + 0))**2)*-5 + -5.\nAnswer: -198005 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2676 by -692.\nAnswer: 669\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjijppyypwjypppiy. What is prob of sequence ppww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 0, -7*q + 5*w = -3*q + 64. Let s be 0*(q\/12 - -1). Suppose -v = 4*a - 388, s*a + 5*v + 118 = a. Calculate the greatest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-24 - 1))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 1:14 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3)*(-15)\/(-50))\/(16\/(-60))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-9))\/(((-4)\/(-2))\/1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4669728 and -236.178.\nAnswer: 4669491.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 = 8. Let o(y) = y**2 - 3*y - 2. Let r be o(t). Suppose m = -m + r. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:34 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/43006675 and -39\/7?\nAnswer: 301046725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35640 and 8316?\nAnswer: 249480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*d + 8, -d + 0 - 2 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00413 - 9.99387. Let n = p - -10. Round n to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 + 2 = 0. What is the third derivative of -281*w + 281*w + 3*w**t - 14*w**2 wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = 14. Suppose -2*z = -6*z + 4. Suppose v*o - 116 + z = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - sqrt(720)*2)*2.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44101.95 micrometers in nanometers?\nAnswer: 44101950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**5\/4 - 7*c**4\/12 + c**3\/6 + 11*c**2\/2 + 86*c. Let n(i) = 3*i**3 - 4*i**2 + i + 6. Give 4*b(z) - 7*n(z).\nAnswer: -z**3 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 5. Let w(b) = -6*b - 15. Let f(k) = 2*w(k) - 7*y(k). Let q(o) = -o - 3. Let m(l) = 2*f(l) + 5*q(l). Calculate m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*m + 2*m. Let q be m - (-1 + -34 + 1). Let l = q + -17. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 2*t + 3. Does 6 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814 = -3*y - 832 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336102.\nAnswer: 2, 3, 13, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(4\/(-56)*-1). What is the third derivative of -9*p**4 - 9*p**2 + i*p**4 - p**2 wrt p?\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 669 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q - z + 200, -2*q + 3*z = -410. Are q and 202 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 604650*g = 604645*g + 85, -9*k - 3*g + 6*g = 51 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 248095340 to the nearest one million.\nAnswer: 248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -340.119 - -0.1.\nAnswer: -340.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2437, 4874, 7313, 9754, 12197, 14642?\nAnswer: 17089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.05, -13, -2, -359, 1, -2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 7908916 + 6065199 = 2087255. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 158 = 115. Calculate the highest common divisor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 2. Let u be b(-2). Let p = u + 0. What is the first derivative of 2*v - 1 - 3 + p wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 9:35 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 3*r - 1 + 2*r)*(4 - 1 - 1)*(-3*r + 0*r - 3*r)*(-5 + 0 + 3)*(-3*r**3 - 2*r**3 + 3*r**3).\nAnswer: 192*r**5 + 48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:24 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from skkskssjjsjsjkjkjjs.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 42 = 2*p. Suppose -p - 385 = -5*w. Does 41 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 349*d**3*m**2 - 4*d**3 + 129392*d**2*m**2 - 247132*d**2 + 6*d - 1 with respect to m.\nAnswer: 698*d**3*m + 258784*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmnoomnnnmm. What is prob of picking 1 j, 1 n, and 1 m?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47906839*s**2 + 10177*s - 11150 wrt s.\nAnswer: -95813678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 331 = 3*g, -g + 337 = -2*d + 6*d. Suppose 6*y = 181 + 83. Calculate the remainder when d is divided by y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**4\/6 - 2*l**3\/3 - 8*l**2 + 3*l. Factor c(g).\nAnswer: 2*(g - 4)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1122\/16)\/(-17) - (-13)\/104.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219255687 to the power of 1\/2, to the nearest integer?\nAnswer: 14807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -762 + 642 - 13*h - 22*h + 26*h in the form i + b*h and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -313424340 + 2?\nAnswer: -313424335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 0*o)*(452*o**2 + 104*o**2 + 4*o**2).\nAnswer: 560*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11631 - -26187. What are the prime factors of u?\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 15 - 0\/(-3). Suppose -c + 80 = 3*x. Suppose 26 = 4*s - 54. Calculate the smallest common multiple of x and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/7 - 454*p**3\/7 - 10670*p**2\/7 - 43986*p\/7 - 4824 = 0. Calculate p.\nAnswer: -201, -21, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 47807 + 69443. Suppose 2*y - v = -713. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 39 = 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-7) - ((-5500)\/(-28) + -2). Let p = -116 - q. What is the remainder when p is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6, -1\/3, -18, -0.09, 0.9.\nAnswer: -18, -1\/3, -0.2, -0.09, 0.9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(34\/((-7344)\/(-9))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 940091 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 2787?\nAnswer: 27870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -210, -1 in ascending order.\nAnswer: -210, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2, 0.08, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*c - 2580 = 0, l + 4*c - 511 = -0*c. Let a = 525 - l. Calculate the highest common divisor of a and 1090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62627 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**3 + 2*b**2 - b. Let n(s) = s**3 + s**2 - s. Suppose -4*h + 12 = 0, h = -2*t - 4*h + 11. What is t*n(l) + f(l)?\nAnswer: 8*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**4 + 94*a**3 + a**2 - 89*a + 10. Let f(n) = -3*n**4 - 48*n**3 + 45*n - 6. Let t(u) = 5*f(u) + 3*s(u). Find w such that t(w) = 0.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2546*o**4 + 1248*o + 27*o**2 - 2544*o**4 - 1247*o + 10*o**3 to v + x*o**4 + n*o**2 + f*o + p*o**3 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21870.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1530.52619\nAnswer: 306.105238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 187, 181, 171, 157, 139, 117?\n\"Answer: -2*l**2 + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26010944*s**2*w**3 + 256*s**2*w**2 - 525*s**2 - s + 2*w + 5 wrt w.\nAnswer: 156065664*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13107270 divided by -4369090?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, 47548, 2.5 in decreasing order.\nAnswer: 47548, 4, 2.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.479 * -6.\nAnswer: 8.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2) - sqrt(8)) + 4)*-2 - ((sqrt(224) + sqrt(224)*2*6)\/sqrt(7))**2.\nAnswer: -5426 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 69, 246, 537, 948, 1485, 2154?\n\"Answer: y**3 + 51*y**2 + 17*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + y - 9 = 4*y, -2*y - 6 = -5*s. Let h(c) = -c - 7. Let v be h(-6). Sort s, v, -4 in descending order.\nAnswer: s, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3360 divided by 6?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 5 + 44)*(4*g - g - g + (-1 + 2 + 0)*(-g + 3*g + 0*g) + 17*g - 20*g - 28*g).\nAnswer: -1755*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 4*l + 6. Let w be b(-3). Let u = 0.03 - 3.03. Let d be 18\/27*(-6)\/10. Sort w, d, u in decreasing order.\nAnswer: w, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1886 and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.3 - -4.2. Let i = v - -0.1. Which is the closest to i? (a) 3 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 17*q - 23*q**2 - 8 + 25*q**2 to a*q + r*q**2 + c and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 156023 and 191?\nAnswer: 155832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82840?\nAnswer: 2, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 283074 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121112464.\nAnswer: 2, 11, 688139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -487, -904, -1309, -1600, -1675?\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526702 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5))**22\/((w**(-10\/9)\/w)\/(w*w*(w*w**(4\/9)*w)\/w*w)) assuming w is positive.\nAnswer: w**(-299\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 458, -35, 2.\nAnswer: -35, 2, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 + 6*g + 4 + 2 - 11*g**3 + 0*g. Let a(k) = k**3 + k**2 - k - 1. Determine -6*a(m) - q(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*h - 4*w, -122*h + 119*h - 2*w + 1 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18))\/((-48)\/3438) + (-36)\/3.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37718744?\nAnswer: 2, 7, 673549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) 2\/7 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*j - 35817 - 233. What is the greatest common divisor of j and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1178241 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssffssssfffsfssss. What is prob of picking 1 s and 1 f?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 133012?\nAnswer: -133011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q = -51*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 21, 2\/21, -2\/7 in increasing order.\nAnswer: -2\/7, 2\/21, 0.3, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 740\/9*h**2 + 124\/9*h**3 + 416\/9*h + 64\/9 + 4*h**5 - 76\/3*h**4 = 0?\nAnswer: -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772 = -9*d - g + 779, 0 = -d - 5*g - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4565 + 4562 = -6*n, 5*n = y + 1 + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:41 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2380 is divided by 57?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38555 divided by 6\nAnswer: 38555\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 32.51 (b) 0.3 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, d: 1, z: 1, u: 2}. What is prob of sequence uxd?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 1. Let u be b(-1). Find the third derivative of 0*p**5 + u*p**5 + p**2 - 3*p**2 wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.7 - 7. Let k = s - 2.7. Let f be 1\/10 - 2\/4. What is the nearest to f in 0.3, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -2)\/(150\/(-20)). Suppose 0 = -4*g - f + 1 - 0, 0 = 4*g + 3*f - 3. What is the third smallest value in -0.4, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 49 + 291 = 18*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/4 - 51*l**2\/4 + 73*l\/2 - 24 = 0.\nAnswer: 1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:41 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 7 + 13. Suppose -h*n - o - 84 = 74, -3*n - 98 = -o. Let d be ((-3)\/4)\/(372\/n). Is d < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11354.1 * 0.4\nAnswer: -4541.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**2\/3 + 944*t\/3 - 624 = 0.\nAnswer: 2, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -24*b + 149. Let y be r(6). Solve 0 = y*s - 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, -82 in increasing order.\nAnswer: -82, -23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-11 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 384*t**2\/5 - 8294*t\/5 + 41776\/5 = 0.\nAnswer: 8, 2611\/192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/((sqrt(120)\/(sqrt(24)\/sqrt(2)) - sqrt(10)) + sqrt(10)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -149*i**2. Let s(k) be the first derivative of k**4\/24 - 28*k**2 + k - 119. Let b(p) be the second derivative of s(p). Calculate b(r(j)).\nAnswer: -149*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 13*s + 4. Let h(j) = -j + 1. Let t(c) = -g(c) + 6*h(c). Let m be t(6). Solve 4*l = -0 - m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/((k**(1\/4)\/k)\/k))*k**3 assuming k is positive.\nAnswer: k**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:55 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 5*k + 186 = 0, 89*h - 78*k = 86*h + 288 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1391043 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -1\/7 (c) -0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**3\/3 - 13. Let x(q) = -6*q. Determine p(x(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/5)\/(1\/5). Let g(r) = 0*r + r - 2 + 7*r**2 - 8*r**2 + 0*r. Let w(a) = -3*a**2 + 4*a - 6. Let t be ((-14)\/(-6))\/((-1)\/3). What is l*w(f) + t*g(f)?\nAnswer: f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8480444 is divided by 1770.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 7*v**2 - 7*v - 7. Let u(q) = q**3 - 4*q**2 + 4*q + 4. Let x = 21 - 10. Let g = x - 7. Calculate g*y(h) + 7*u(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/5357184 and 145\/6048?\nAnswer: 48214656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03242, 0, -4, -0.2?\nAnswer: -0.03242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = -5*x - 1, 12 = -2*x + 5*c. Let q be -12*x\/(-8)*6. Find the common denominator of 73\/4 and (122\/(-12))\/(q\/6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1 (c) 0.1 (d) -0.2 (e) -4 (f) 1.8988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238123, -238116, -238109, -238102, -238095?\nAnswer: -238088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 - -23.07. Let g = -23 + r. Let k = -0.204 - g. Round k to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19749 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(2178\/(-6490))*3 - 27.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - -2.03. Let u = v + -5. Put u, 1, -1\/4 in ascending order.\nAnswer: u, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/5 (b) 0.2 (c) -2\/9 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - h**2 + h**2)*(-1 + 2 - 2)*(2 - 1 - 3).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 61014.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*r - 19 = 3*j, 4*j + 5*r = 136. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 326052008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26751, 106227, 238695, 424155, 662607?\n\"Answer: 26496*p**2 - 12*p + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + sqrt(108) + (sqrt(108) - -6*(-1 + sqrt(108)))) - sqrt(108))*-1 + ((-1 + sqrt(108))*2)**2 + 5)*-1.\nAnswer: -435 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3008 and -81\/10?\nAnswer: 15040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 21*u + 192 = 0. Let m(o) = 16*o. Let c be m(3). What is the highest common divisor of c and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 94?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*a + 1. Suppose -a*u = -8 - 181. Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-7))\/(288\/(-71064)*-47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 7*m**2 + m + 5. Let p be x(7). Calculate the greatest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, 1, 2\/7, 11416.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbbbpllbbblbbllll. Give prob of sequence pl.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:26 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 21*a + 73. Let k be u(23). Suppose 3*o - k = -5*w, 3*o - w + 0*w - 580 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747639?\nAnswer: 19, 59, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10341795 and 786.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + r + 2*r**2 + 4*r - 11*r to the form c*r**2 + y + u*r and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 20808*y + 54121608.\nAnswer: 2*(y - 5202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 2*m**2 - 2*m + 3. Let z be d(2). Is ((-5 - -4)*73)\/z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 d when four letters picked without replacement from dppgpdggpdggg?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, n: 2}. What is prob of picking 4 m?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.6, 458 in decreasing order.\nAnswer: 458, -0.6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -3, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 23*o**2 + 3*o + 1. Let p be v(-1). Let l be ((-39)\/(-2))\/(p\/(-28)). Sort 1, l, -1 in ascending order.\nAnswer: l, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*z - 758*z = 240 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*w + 2*k, -27*k = 4*w - 23*k + 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8199529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -1745*d**7\/42 - 919*d**4\/12 + 19*d - 1. Find the third derivative of k(m) wrt m.\nAnswer: -104700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -2, 0, 3 in decreasing order.\nAnswer: 3, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = 4*b, 39 = -4*q - 2*b - 29. Let t be (-3502807)\/63 - 2\/q. What is t rounded to the nearest one thousand?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148293965*x**2 - 178163397*x wrt x.\nAnswer: -296587930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from llccclyylc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2496 and -4986.6.\nAnswer: 12446553.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.9596*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 131, 237, 323, 353, 291?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1. Let i(j) = 4*j - 4. Let z = -286 - -283. Calculate z*n(m) + i(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/19)\/z*z**(-4)*z*z*z*z**(-6)*z**(-3\/10)*z*(z**(1\/2)\/z**5)\/(z**(3\/8)*z**8) assuming z is positive.\nAnswer: z**(-14653\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 690006 = -q + 4*q, 0 = -5*m - 15. Suppose i + i = -q. What is i rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*p - 3206 = -66*p. Solve 0 = 4*i - 2*r - 24, 0*r - p = -4*i - 3*r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*-361953.\nAnswer: -23164992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137446 + 33674198\/245. Is g < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 7*u**4\/24 - 406*u**2. Let v(k) = -29*k - 11 - 16 + 27. Determine v(r(h)).\nAnswer: -203*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*b - 14*b - 46104 + 29682 = 0 for b.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + h - 14, -3*j - j - 2*h + 62 = 0. Let l = 17 - j. Suppose l = -2*a + 8. Calculate the highest common factor of 12 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312 and 6792344?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32923064 and 41153830?\nAnswer: 164615320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 65 + 23*z)*(-z**4 - z**4 + 0*z**4).\nAnswer: -46*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5587547*x*z + 4324911*x wrt z.\nAnswer: 5587547*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(21\/6)\/7. Let p(c) = -c**2 - c + 10. List the prime factors of p(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -12.4\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 460360.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105.672*-0.021.\nAnswer: -2.219112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucseeeeuccc. Give prob of picking 1 s and 1 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 12) to base 9\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2611.999998585 + 2612. Round g to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 470, 548, 668, 836?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 14*t**2 + 13*t - 743. What is the thousands digit of o(37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + c**2 + c. Let y(f) = -2*f**3 - 4*f**2 - 2*f. Let g(n) = -3*x(n) - y(n). Let t(i) = -2*i**2 + 2*i. Determine g(m) + t(m).\nAnswer: -m**3 - m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 24 - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-3\/37)*u\/(u*(u*u**8\/u*u)\/u*u)*u**4 assuming u is positive.\nAnswer: u**(-179\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**19\/g**(-12\/17) assuming g is positive.\nAnswer: g**(335\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60316 (base 7) to base 4.\nAnswer: 3203212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-2280))\/(3\/(-12)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from cadcaddrddcagd?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9322945*x**4 - 4141*x**2 + 544?\nAnswer: 223750680*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -102, -128, -164, -210, -266, -332?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 39*s - 720 = 0. Let o = 120 - s. Let 0 + 4\/7*b**4 + o*b**2 + 0*b**3 + 0*b = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:22 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**2\/5 + 1358*l\/5 - 908\/5 = 0 for l.\nAnswer: -227, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10780.00009621 + 10780. What is o rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 - 4\/(-14). Suppose g*y + 4*y - 8 = 0. Let k(z) = 2*z - 2*z**y + 3*z**2 - 7 + z. Determine k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 - 7631*z - 1540*z.\nAnswer: -9171*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0 (c) -0.1 (d) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4294353.\nAnswer: 3, 7, 17, 23, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1590 is divided by 207.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/704 and 19\/1012?\nAnswer: 16192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, r: 3, x: 3, b: 2, d: 5}. What is prob of sequence rb?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -178, -333, -532?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 258, 387?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**3 - 26*h**3 + 75*h**3 - 24*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 2 - -2) + 26. Let k be 3*(-4)\/u*-10. Suppose 5*j = 4*y - 129, -k*y - 3*j + 53 = -62. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -35. Let f = d + -25.99999666. Round f to seven dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - j**2 + 3*j - 4. Let s be b(-3). Solve 4*z - 14 = d, 0*z = -s*z - 4*d + 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099 - -0.42?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - -0.5. Let s = -0.05 - m. What is the third smallest value in -6, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -2*a - 4*t, -t = -3*a + 12. Is -1 - (-19 - (a - 2)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22310120 (base 4) to base 5.\nAnswer: 2404222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08921 + 0.18921. What is the second smallest value in -0.5, -5, p, -176\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15262 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 274887629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**5\/10 + 13*b**4\/12 + 5*b**3\/3 - 21*b**2\/2 + 43*b. Let a be k(7). Solve a = 2*j - 4*l + 4, 2*l = 2*j + 3*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 7*r - 1. Let q be j(7). Let b = 5 + q. Suppose b*n - 55 = -n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 s, and 1 i when three letters picked without replacement from {s: 1, i: 2, r: 1, n: 1, y: 1, t: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 18*j**2 - 32*j - 71. Let s be d(19). List the prime factors of (s\/(-6))\/(92\/414).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**2 - 18. Is 18 a factor of h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/(13\/(-78)). Suppose 2*t - 19*t + 68 = 0. Suppose r*y = -t*y. Solve 2*p = -y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p. Let z(a) = a**2 - 18*a + 80. Let g be z(8). Suppose -4*q + g*l + 64 = 2*l, -3*l + 40 = 2*q. Calculate the remainder when q is divided by o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*x - 0*v - 63, -3*x - 5*v = -41. Let m = -102 - -104. Suppose -2*w - 3*r = 3*w - 66, -5*w + 64 = m*r. Does x = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(136) - sqrt(136)) + sqrt(136))\/sqrt(8).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39600925 by 65.\nAnswer: 609245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/72*16\/(-50)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-42) - (-4)\/14. Let r(m) = -m**2. Let c be r(i). Suppose 3*t - 49 - 53 = c. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207 or -126?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 1\/6*l**3 + 3*l + 1\/3*l**4 + 0*l**2 + 0. What is the second derivative of a(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(-1)\/6*-3. Suppose -d + 0*d = 1, v*d = -2*q + 179. Suppose 0 = -5*n + u + q, -n + 3*u = 3 - 13. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 5. Let z(k) = -2 - 9*k + k + 2*k + k. Let o = -7 + 4. Let x(d) = 5*d + 3. Let g(q) = o*z(q) - 4*x(q). Determine 3*g(m) - 4*v(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093*y**2 + 773*y**2 + 786*y**2 + 533*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*l - 243*l = 525*l + 105*l - 73602 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/(-6))\/((-4)\/(-12)). Is (n\/12)\/((-2)\/(-24)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (-1*sqrt(209) - sqrt(209))*4 - (-1*sqrt(209) - sqrt(209))*5)\/(1*(sqrt(11) + -4*sqrt(275)))*2.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.1 - 0.46?\nAnswer: -9.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 333, 762, 1373, 2172, 3165?\n\"Answer: g**3 + 82*g**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, i: 2, y: 2, s: 4, n: 1}. Give prob of sequence ssmm.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -25 + 45 + 2 + 3. Let d be 12 - 3 - 12\/(-4). Let h(w) = 0*w - q - 8*w - d*w. Let r(b) = b + 1. Give h(v) + 25*r(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtntgetnttgeengggt. What is prob of sequence ee?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 3. Let o = -11 - u. Solve -4*t = -2*m - 8, -o*t + 26 = 3*m + 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 - 2*c**2 - c - 42. Let i(j) = 17*j**3 + 7*j**2 + 4*j + 127. Let r(n) = -2*i(n) - 7*w(n). Differentiate r(g) wrt g.\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231669\/65260 + -1\/16315. Calculate the common denominator of y and 3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/63*((-81)\/(-2))\/(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(-30)\/(-20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2322 - 209 = l. Let n = 4536 + -793. Let q = l - n. What is q rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9440*h - 8*h**3 + 9440*h - h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 385280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 10*a**2 + 9*a - 5. Let b be j(-9). Let r = b - -5. List the prime factors of r + 7 - (-3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 10*p**2 + 5*p + 5. What is the tens digit of i(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -1125, -3548, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -573*r**3 + 17*r**2 - 8*r - 21. Let v(l) = -574*l**3 + 16*l**2 - 8*l - 24. Let z(u) = 8*s(u) - 7*v(u). What is the third derivative of z(o) wrt o?\nAnswer: -3396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7305869901 to the power of 1\/3, to the nearest integer?\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-3)\/6)\/((-2)\/4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-1)*7\/273*24\/84?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -2\/7 (c) 0.032 (d) -523 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*a - 25, -3*a = 3*f + 277 - 241 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1737172*c**2. Let p(z) = -42*z. What is p(h(y))?\nAnswer: 72961224*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, -4, 13, -63, 1, 3, -2 in decreasing order.\nAnswer: 90, 13, 3, 1, -2, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v - 22. Let t be k(3). Suppose -3*w + t*l - 7*l = -1160, 0 = -4*w + 3*l + 1595. List the prime factors of w.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/40*78\/(-39)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 70896.6 and 1487047.\nAnswer: 1557943.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469038 is divided by 31269.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:32 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178*p**2 + 14*p**2 + 36*p**2)*(6 - 1 + 0)*(-4 + 2 - 2).\nAnswer: 2560*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 6681935?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 - 1 = 5*v. Let y be v\/54 + (-34)\/(-3). Suppose -1 = -i + y. Calculate the remainder when 23 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 - (39164\/(-48) - -5). Let h = 811 - d. Let s = 0.7 - -0.3. Which is the biggest value? (a) s (b) h (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*d = 158*d - 64 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 555432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 1. Let c be v(1). Suppose 0 = 5*z + c*r + r - 93, 3*r - 72 = -4*z. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*-12034\nAnswer: -48136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 149 + 114 + 16*a**2 - 220*a - 223*a + 445*a - 15*a**2 as t + h*a**2 + l*a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 6*j + 2*j - 5*j**2 + 83 + 77.\nAnswer: -5*j**2 - j + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26583*k - 26585*k - 4 + 4.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -223. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - (-28)\/(-6))\/(35\/(-1502655))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*b**5 - 1754*b**3 + b**2 + 37889*b - 8 wrt b?\nAnswer: 2260*b**3 - 10524*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -205c + -3?\nAnswer: -2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -4\/7*j + 1\/7*j**2 + 2\/21*j**3 + 22. What is a in v(a) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 - 2490*y**4\/7 - 288962*y**3\/7 - 10165936*y**2\/7 + 89734689*y\/7 - 3543122 = 0. What is y?\nAnswer: -121, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 8 (c) -2 (d) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5 - 13. Let i(l) = 4 - 11*l + l**3 + 3*l - 6 - g*l**2. Calculate the least common multiple of 20 and i(10).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 1. Let g(n) = 6*n**2 - 3*n - 11. Let h(j) = g(j) - 6*v(j). Find the second derivative of h(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-9))\/(((-80)\/(-960))\/(1\/(-8))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 3*n - 36*n. Calculate the highest common divisor of 16 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 601946 or 601947?\nAnswer: 601946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 16*v. Let m(r) = r + 5. Let b be m(v). Let k(z) = 14*z - 6 + b*z + 6. Let c(s) = 2*s**2. Give c(k(d)).\nAnswer: 722*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.8 (b) -0.2 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 114, -2\/9, 88, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1686*u**2 - 9552*u.\nAnswer: -3372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((3 - 35) + 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12384542 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m + 36. Calculate k(13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32411?\nAnswer: 32411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 4*k - 4. Let h be p(-2). Solve h = 3*d + 9 - 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - ((-235)\/(-6))\/(-5) and -1*((-80)\/(-14) + -1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + c - 2*c = 4, -20 = -5*m + 3*c. Suppose 4*p - 8 = -2*x, 0 = -2*x - 5*p - 1 + 12. Let b be (2\/(-12))\/(x\/6). Is m <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veaedmv. Give prob of sequence ae.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17622 and 32382.\nAnswer: 31701978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 20 + 8 = 0. Suppose -317*y = -323*y + 354. Suppose -t = 2*z - y, 3*z + 213 = d*t - t. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 4 + (8 - 31).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**3\/3 - 7*l**2 + 49*l - 173. Factor o(z).\nAnswer: (z - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:33 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 4780359?\nAnswer: 4780359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryaaaarrab. Give prob of picking 1 a and 3 r.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*30\/4. What is the remainder when 47 is divided by ((-80)\/4)\/(f - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436490 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24459, -48918, -73375, -97830, -122283, -146734?\n\"Answer: f**2 - 24462*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -60*w**3 + 234*w**2 + 1496*w + 2921. Let g(a) = -7*a**3 + 29*a**2 + 187*a + 365. Let n(j) = -17*g(j) + 2*t(j). Factor n(k).\nAnswer: -(k + 3)*(k + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 5, 6 in descending order.\nAnswer: 7, 6, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132 + 229. Let a = -97.0215 + u. Round a to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16325 = -487*x + 1140*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1143 + -10415524?\nAnswer: -10421111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 8*z + 552. Let f = z + 71. Let d(v) = -6 + v**2 + 7 + 6. Let n(h) = -1. Give f*n(w) - 3*d(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 12*s**2 - 82*s + 93. Let a(x) = -7*x**2 + 41*x - 47. Let h(r) = 7*a(r) + 4*m(r). Differentiate h(p) with respect to p.\nAnswer: -2*p - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071388 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 1. Let x(s) = 3*s**3 - 1 + 13 - 2. Let j(k) = -2*w(k) + x(k). Find the first derivative of j(o) wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puooupou. What is prob of picking 2 o?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*b**6 - 770*b**5 + 11*b**4 - 704711*b**2 - 1 wrt b?\nAnswer: 4200*b**3 - 46200*b**2 + 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3342 is divided by 229.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 - 62*d**2 - 1060*d - 346. Give n(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**3 + s**2 - 2*s + 27 - 84 + 41. Let m = 11 + -6. Is z(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29802*j*r - 13659*r wrt j?\nAnswer: -29802*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29909?\nAnswer: 11, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119460673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 63*c + 10488. Is c a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.64416 rounded to two dps?\nAnswer: 82.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -95466.771 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.028254686\nAnswer: -0.084764058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 846, 1645, 2446?\nAnswer: 3249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-3)*18\/(-4). Suppose 0 = 2*g + 3 - 9. Suppose g*k - 9 = d. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1439 + 1439. Solve -8*o - 18 + 34 = r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3245*j - 365*j - 5468*j + 716422 = 736*j for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 g when three letters picked without replacement from {q: 1, m: 1, r: 1, a: 1, g: 2, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8*b = q - 539, 5*b + q = 673. Suppose 28 = 3*k - b. Let w be k\/42 + 4\/(-14). Solve 3*z = 10 - w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188\/(-99)*12\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -39, -45, -39, -21, 9, 51?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826 = 162*v + 769 + 159 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 4937640?\nAnswer: 39501120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46551 is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2634*t + 31608. What is v(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -85056? (a) 0.3 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -3\/8*d**4 + 1\/6*d**3 + 0 - 6*d**2 + 0*d. Suppose -4*l - 1 = -5. Determine m(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3630 + -2545. Suppose 1092*y = i*y + 7896. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q + 3*s - 57 = 49*q, 0 = -5*q - 2*s - 43 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/6 + 14*y**3\/9 - 2*y**2 - 14. Factor p(w).\nAnswer: -2*w*(w - 6)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17172174?\nAnswer: 2, 3, 373, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3 (b) 0 (c) -2 (d) -1.31235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9335 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5660*y + 3067*y + 2626*y.\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 19*c + 7. Let d be i(-19). Suppose -3 = -h - 3*u, -u - 79 = 2*h - d*h. Suppose 7*k - 2*k + h = 0. What is the nearest to 1 in k, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vya when three letters picked without replacement from alvhylylvlhs.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -27585425.\nAnswer: -27585425.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26 + 2898*k + 2882*k + 68 - 5787*k. Calculate l(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 3\/(-6)*0. Let q(c) = -c**3 + 5*c**2 + 4*c - 4. Calculate q(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -358 + 154. Let k = g + 203.8825. Round k to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.09, -19, -11\/4, 18, 2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d9 (base 16) to base 12.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*s + 35185, 4*s - 21115 = 155*z - 158*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 + 1361. Let t = x - 1202. Let k = 0.3 + -0.5. What is the closest to 0 in t, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.371 * 8.1.\nAnswer: 11.1051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - b27b6a?\nAnswer: -b27b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**37)**(-7))**22)**(5\/2))**(-2\/19) assuming b is positive.\nAnswer: b**(28490\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -0.43904858?\nAnswer: 0.83904858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1303938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.077 - -12.723. Let a = -13 + x. What is the third smallest value in a, -2\/17, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, l: 5}. What is prob of sequence llpp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-4)\/(-88)). Let i(x) = x**3 - 9*x**2 - 17*x - 5. Let w be i(f). Solve -q + w = -11*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 144, 124, 106, 96, 100, 124, 174?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 3*g**2 - 1 + 1 + 7*g. Let n(y) be the third derivative of y**5\/15 - 7*y**4\/24 - 325*y**2. Give -6*a(j) - 5*n(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.7. Let g = w - 0.6. What is the third biggest value in -5, g, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**31)\/(a*a\/a**30) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 17*d**2 + 20*d - 6. Let c be a(-16). Let w be c\/(-6)*(11 - 8). Let v be 4\/10 - (-3 + w\/25). Which is bigger: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffu when three letters picked without replacement from {u: 3, n: 1, l: 4, f: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84795361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29\/136 + 585\/7208. Is h at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37044 - 8?\nAnswer: 37036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8 + 11. Let i(l) = -81*l + 2. Is i(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 10*p - 10. Let i be x(11). Let w(d) be the first derivative of 10*d**3\/3 + d + 32. Calculate w(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 21161632.\nAnswer: 1\/2645204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/21 + 44136*x**4\/7 - 245790*x**3 + 47638000*x**2\/21 + 17644000*x\/7 = 0?\nAnswer: -1, 0, 20, 66165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 19*i**2 - 3*i. What is l(-19)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7969217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(176))*2.\nAnswer: -6 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4520 is divided by 2034.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3483 = 1573*x + 9704 + 4116 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15\/7 + -23\/14. Sort 0, w, 1\/3 in decreasing order.\nAnswer: w, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*x**4 + 174*x**3 - 145*x**4 - 554*x**3 - 3*x**4 - 2*x**4 + x**4 + (1 + 2*x**2 - 1)*(-4*x + x**2 + 4*x))*(2 - 3 - 1)*(-3*x - x + 3*x).\nAnswer: -8*x**5 - 760*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264554592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.67, 3\/4, 21, 3, -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 16. Let z(v) = -v**3 - 20*v**2 + v + 25. Let r be z(-20). Let a = x - r. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7486*i**4 - 8808*i**4 - 125*i**4 + (2*i**2 - 1 + 1)*(-2*i + 2*i - 2*i**2) - 2*i**4 - 2*i**3 + 2*i**3 + 2 - i**4 - 2.\nAnswer: -16426*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*o*p - 136*a**3*p**2 + 133*a*o*p**2 - 2*p**2 wrt o.\nAnswer: a**3*p + 133*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 7*t + 35. Let b be f(6). Suppose b*y + 14 = 64. Suppose y*i - 77 = 9*i. Does 32 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/((-567)\/153)*(-36)\/918.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 18*x**2 - 10*x + 46. What is the units digit of u(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(140)*-2)\/sqrt(10))\/((sqrt(7) + sqrt(21)\/sqrt(3) + sqrt(7) + sqrt(7))*-2) - ((1*sqrt(242))**2 + -1)*-4).\nAnswer: sqrt(2) + 3856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/243*9 - (-350)\/(-3). Let k = 121 + h. Solve -k*s + 2*s - 9 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -703.608 + 704. Let z = 0.392 - r. Put -8, 11, z in descending order.\nAnswer: 11, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 14*y + 9 = 0. Suppose -40 = -5*z + y*z. Suppose 379 = -2*n - t + 2065, 0 = -5*t + z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7432915 + -13862915. What is k rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10383054\/245 + -42380. Calculate the common denominator of b and 18\/55.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -77. Let t = 34 + h. Let f = t - 16. Which is the smallest value? (a) 5 (b) f (c) 2\/11 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - -17.83. Let k = 19.3 - o. Let u = 1.3016 - k. What is u rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1686*g - 317*g**2 + 1677*g + 313*g**2.\nAnswer: -4*g**2 - 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -237547167 divided by -11?\nAnswer: 21595197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -7*y + 11*y. Let h = y - -32. Let g be (0 + (h - -2 - 0))*20. Round g to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -736325 (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159990*s**3*u**5 + 11*s**3*u**2 + 3*s**3*u + 13*s**2*u**2 + 289*s - 10*u**5 wrt u?\nAnswer: 9599400*s**3*u**2 - 600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/((w\/(w*((w**(10\/13)\/w)\/w)\/w)*w)\/w)))\/w)\/w)**(-11) assuming w is positive.\nAnswer: w**(-33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1025 + -0.1864. Let y = f - -0.5129. Round y to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c8a6e4 - -3?\nAnswer: 2c8a6e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12 and -73\/594?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 400\/16793?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m + 6. Let h(y) = -4*y + 3. Let a(r) = 5*h(r) - 2*l(r). What are the prime factors of a(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (-14 + 5 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 2. Let k(g) = -69*g + 33. Let s(u) = -2*k(u) - 33*t(u). Let q(i) = -22*i**2. Calculate s(q(j)).\nAnswer: -132*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000916935 to 7 decimal places.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 2. Let s be v(1). Suppose -s*x = -5*x + 432. Suppose -1473 + x = -3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 147*c**3 + 10*c**2 + 13*c. Calculate g(1).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - (sqrt(160)*-4 - sqrt(160)))\/sqrt(5))**2 + (4*sqrt(800))**2.\nAnswer: 13952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 + 4*d - 2. Let o be n(2). Let y(h) be the third derivative of -h**2 - 1\/12*h**4 + 0*h + 0 - 1\/6*h**3. Calculate y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -2. Let l be 2\/(-6) - 868\/w. Suppose 0 = 5*y - 31 - l. Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**2 - 3*l**2 - l**2)*(0*l + 0*l - 2*l) - 2*l**3 + 2*l**3 + 9*l**3)*(l + l + 0*l) + 2*l**4 + 6 - 6 + (1 - 1 + 2*l**2)*(5*l**2 + l**2 - 4*l**2).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -17*y**2. Let v(p) = 3*p**2. Calculate w(v(k)).\nAnswer: -153*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -5 (b) 2\/11 (c) -4.524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 18. What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 11:28 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2398 and -18.\nAnswer: 43164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3050567778 and 24.9.\nAnswer: -3050567753.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117)*1*6 - (-3 + sqrt(117)*-1 + 2*sqrt(117) + 0)) + 1)**2 + 0.\nAnswer: 264*sqrt(13) + 14173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 872 = -2*v. Let f = v - -111. What is the derivative of t**2 + f*t - 283 + 5*t + 292 wrt t?\nAnswer: 2*t + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 674 - 671. Solve k*z + 4 + 11 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**6\/72 - h**4\/6 - 2*h**3\/3 + 1. Let l(s) be the third derivative of x(s). What is the derivative of l(v) wrt v?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 + 2*z**2 + 6*z. Let t(n) = n**3 - 2*n**2 + n + 2. Let k(f) = -17*f**3 - 2*f**2 - 19*f - 4. Let m(h) = k(h) + 2*t(h). Give -17*g(a) - 6*m(a).\nAnswer: 5*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = -2*f, -g - 4 = g - 2*f. Suppose -g*b = -5*x + 352771, 5*b - 10*b + 282202 = 4*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 301 and 84.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 205*p + 821. Let x be m(-4). Let r(h) = 30*h - 1. What is r(x)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3642, -35754, -89272, -164196?\nAnswer: -260526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 0 - (228 + -221)) + 3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 20*l**2. Let s(m) = -17*m. Calculate j(s(q)).\nAnswer: 5780*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114639 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, -0.1, -3 in descending order.\nAnswer: 186, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.83 - 0.98. Let i = u + -3.85. Let f be (-6)\/4 - (-1)\/2. Which is the closest to 0.1? (a) -1\/9 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let p(f) = f**2 - 9. Let l be 1 - 0 - 45\/15. Let z(r) = 1. Let h(t) = l*p(t) - 18*z(t). Give h(c(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u = -41*u - 5*z + 28, -6*u = -4*z + 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*i + 9. Let j = 0.3121 + -0.3221. What is the third smallest value in 1, i, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 38925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qde when three letters picked without replacement from {d: 3, w: 1, e: 1, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -396\/5. Sort -3, 3, i in descending order.\nAnswer: 3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 133850*l + 22085248. What is z(-165)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*o**4 - b*o**2 - 123*b*o + 23*o**4 wrt o?\nAnswer: -24*b*o**2 - 2*b + 276*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*-451.\nAnswer: -29766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 5}. What is prob of sequence hh?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 6. Let y be n(0). Find the first derivative of 2 - y + 5*a**3 + 1 wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*h + 2888, 5*h + 979 = 4*z - 1901. Solve -5*i - 700 + z = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = o - 959335, 69*o - 73*o - 3*t = -3837501. What is o rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 127316 = -5*g, g + f - 26410 + 954 = 0. Suppose -d + g = -21*d. Round d to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2854.857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3 - 12*i**2 - 216*i = 0. Calculate i.\nAnswer: -6, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 1091*m**3\/3 - 1342*m**2 + 2*m - 276. Differentiate k(a) wrt a.\nAnswer: 2182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/20)\/(t**(5\/8)*t)*(t**35*t*t)\/t**(-12\/13) assuming t is positive.\nAnswer: t**(18849\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 1, q: 2, a: 2, s: 1}. Give prob of sequence tqq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18*(-7)\/(-28)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**7\/210 + 83*c**5\/60 - 119*c**3\/3 - 395*c**2. Differentiate k(b) wrt b.\nAnswer: 4*b**3 + 166*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.2 and -3.4.\nAnswer: 7.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508 - -790. Let k = c + -281. What is the greatest common divisor of 8 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 7*u**2 + 0*u + 0 + 3\/4*u**4 + 13\/6*u**3. Is x(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 452 + 428 = 0. Suppose -4*i + 8 = 3*j, -5*j + 12 = i - 24. What is the greatest common divisor of x and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/5*140\/6. Let f(u) = -u**2 + 7*u + 1. Let k be f(7). Let x be k\/3 + n\/18. Solve 4*t = -5*o, -x*o - 32 + 7 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -4, -24, 1\/60, -3?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/5 less than or equal to -278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekkkkkkkkkkkkkkkkkkk. Give prob of picking 3 k.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898677798 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 comes next: -322, -321, -320, -319, -318, -317?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3031*m - 886. Is r(35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/74 or 2178\/17?\nAnswer: 2178\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mprbmebebebmb. Give prob of sequence reem.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/3 + 38*d**3\/3 - 5890*d**2\/3 + 1950*d = 0.\nAnswer: -65, 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccnnncddccdccnccdcn. What is prob of sequence ddd?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1632*c**2 - 710*c**2 - 832*c**2 - 6.\nAnswer: 90*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 565500 (base 7) in base 16?\nAnswer: 18831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 42.88\nAnswer: -17.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -913*z + 903*z + 60. Solve 3*x = -7*q + 3*q - z, 2*q + 2*x + 2 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuvi when four letters picked without replacement from vyyiyyqyuey.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7\/8)*k*k*k*k)\/(((k**(3\/8)*k)\/k)\/k))\/(k*k*((k*k\/(k\/(k\/k**(1\/15)*k))*k*k*k)\/k*k)\/k*k*k\/(k\/(k**(-11)\/k))) assuming k is positive.\nAnswer: k**(469\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 440*v + 1 + 19*v**4 - 51*v**4 - 440*v + 11 wrt v.\nAnswer: -128*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**7\/14 - 2*a**6\/5 + 3*a**5\/10 + a**4 - 3*a**3\/2 + 4*a. Factor w(j).\nAnswer: 3*j*(j - 3)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*8*45\/(-90). What is the least common multiple of 3 and 68*(-3)\/(-48)*y?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1673775 and -62\/521595.\nAnswer: 112142925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 3668.\nAnswer: -11004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.44 (b) 5 (c) 0.136 (d) 5087\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -293d9 (base 14) to base 3.\nAnswer: -12012100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.623 - -0.023. Let o = -9.2 - h. Let i = -8.03 - -0.03. What is the second smallest value in o, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213132615 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 89 + 9 = 0. Let z(q) = -q**3 + 9*q**2 + 11*q - 4. Let b be z(h). Solve -d - 3*a - b - 4 = 0, 45 = 5*d - 4*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1133312396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.036, 3, 0.8, 0.4, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 197*d + 299972. Determine t(-458).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Suppose -50 = 2*p + 2*s, 2*s - 3 = 2*p + 31. Let g = 29 + p. What is the remainder when g is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3072, 3016, 2916, 2766, 2560, 2292, 1956, 1546?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -67*t**9\/504 + t**5\/30 + 85*t**3\/6 + 5*t**2 - 3*t. What is the third derivative of z(o) wrt o?\nAnswer: -8040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155691 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2475738*q**6 - 13*q**2 + 99947 wrt q.\nAnswer: 297088560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 5 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -22. Let w(v) = v**3 - 4*v**2 - 7*v + 9. Let b be w(g). Let f be (-13)\/(91\/(-14))*(-1)\/13. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.1. Let v = 0.039 + 0.361. Which is the closest to 1\/3? (a) 0.1 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Let h = -1 - m. What is the second biggest value in h, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 14. Suppose 5*l - 185 = -0*l + 5*t, 5*l - 179 = 2*t. What is the remainder when l is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**4\/24 + 5*w**2. Let m be 1 - (0 - -2 - 3). Let f(n) = 3*n + 2*n - m*n. What is f(q(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -362 - -365. What is the second biggest value in -0.13, 0.09, m?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.018, 246, 4, -0.3, -4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/sqrt(3)*5)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 6) to base 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 4*m**2 + 14*m + 1\/6*m**3 - 13. Let r(j) be the first derivative of q(j). What is the first derivative of r(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2224)\/(-60) - (12\/2)\/90?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 13545 = 5*c, 3*c = 8*c - 5*q - 13550. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/97844 and -48\/267467.\nAnswer: 65261948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 - 21*w - 5. Let x be m(-6). Calculate the common denominator of 47\/9 and (-5)\/x*402\/18.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -135 and -0.0305?\nAnswer: 134.9695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5\/129, -21, -16, 4, -4?\nAnswer: 5\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-22) - (7 - (-1461)\/(-231)). What is the closest to 1\/2 in -4, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + (-228 - -233)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117657240 and 2762670.\nAnswer: 2000173080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.30374267 rounded to 3 decimal places?\nAnswer: -2.304","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 19 = r, -r + 4*d + 28 = r. Suppose 0 = 7*p - 5*p + 10, r*w - 5*p = 257. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-300))\/((-4)\/16).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 3. Let r be w(-3). Suppose 2*v - q = 38, -3*v + 44 = -v - 4*q. What is the highest common factor of v and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070623526 rounded to 5 decimal places?\nAnswer: 0.00706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*1 + 3)*-6)**2.\nAnswer: 864*sqrt(17) + 10116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qkqqkzqqaqqkkzqaaqk.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 s when three letters picked without replacement from {s: 4, q: 7, g: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/36 - 5*z**3\/18 - 5*z. Factor c(m).\nAnswer: -m*(m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6*i + 960 = 0. Let m(v) = v**3 - 14*v**2 - 34*v + 288. Let y be m(15). Suppose 0 = a, -i = -5*f - y*a - 2*a. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(4752)*1)\/(sqrt(704) + sqrt(704)*-2) - ((-1*1*sqrt(27))\/((2*sqrt(27))\/sqrt(3)))**2).\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11490041053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000395533 to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 113. Calculate s(-15).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 1 k when three letters picked without replacement from {i: 2, y: 7, s: 1, k: 9}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 1. Let b(v) = -v**2 + 1. Let y(i) = -i**3 + 22*i**2 + 23*i + 3. Let s be y(23). Give s*q(a) - 3*b(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) 4 (b) -0.7 (c) -1\/10 (d) 5 (e) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3245 + 4395. What is the highest common divisor of 650 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42371 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 5066 = 2404. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2382754*j**2 + 1251124*j?\nAnswer: -4765508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h - 55. What is the units digit of d(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**6\/120 - d**5\/180 - d**4\/24 + d**3\/18 - d**2 - 4*d. Let n(g) be the first derivative of j(g). Solve n(s) = 0 for s.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*q**3*r**4 + q**3*r**2 - q**3 + 228*q**2*r - r wrt r?\nAnswer: 324*q**3*r**2 + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 1. Let b be f(1). Let l be 1\/(-2)*(-2 - -2). Suppose b*v = 2*v + 4*y - 114, -3*v - 5*y + 170 = l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59335 - 39362. Let t = 38476 - j. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*2 + -5 - ((sqrt(425) - (sqrt(425)*1 + sqrt(425)) - sqrt(425)) + -2))**2.\nAnswer: -120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -288, -5, 0.\nAnswer: -288, -5, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 4*g**2. Let c be f(-4). Let u(o) be the first derivative of 6\/35*o**5 + c*o - 5\/14*o**4 - 2 + 2\/21*o**3 + 1\/7*o**2. Solve u(y) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4 + 70*t**3 - 2257*t**2 - 41323119*t?\nAnswer: -12*t**2 + 420*t - 4514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -8100*y**4 - 8145*y**3 - 42*y**2 + 3*y = 0.\nAnswer: -1, -1\/45, 0, 1\/60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + d + 38. List the prime factors of a(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/2*(-3434)\/5151.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -38*v**2 + 3752*v - 20275. Give w(93).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 5. Let z = -0.1266 + 0.1366. What is the closest to z in -0.3, v, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1.3116?\nAnswer: 0.13116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117014 at least 116424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - 30. Let b = -96 - h. Let c(a) = 5*a + 4. Let q(z) = -14*z - 11. Calculate b*q(k) - 11*c(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = t + 32, -157 + 33 = 5*t + 2*r. Let z be 1\/((13\/t)\/(2\/(-4))). Let x = 1 - -1. What is the smallest value in z, x, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 7*a**2 - 6*a + 9. Does 26 divide b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5695)\/(-9380))\/(19 - 2)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.395 and -39893.4.\nAnswer: -39893.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 22. Suppose 5*i - 2*i - o = 0. Suppose 97 = 2*t - i*r, 5*r = -4*t + 2*t + 57. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 + 1.1. Let p = o - -1.992. Round p to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/4)\/((-621)\/1656)*48\/(-28)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 50 = 2*h, -38 = -w - 4108*h + 4106*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4970889.6 to the nearest 1000.\nAnswer: 4971000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**1)**39\/((u*u**(1\/2)\/u)\/u)**(-38)*u**9\/(((u*u**(3\/13)\/u*u)\/u)\/u)*(u**(-4)*u*u*u)\/((u\/((u**(-1\/5)*u)\/u))\/u) assuming u is positive.\nAnswer: u**(-678\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 46. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 + 148.09. Let a = -37 - -38.68. Let j = -0.32 - a. Put 0.4, n, -3, j in decreasing order.\nAnswer: 0.4, n, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(3*sqrt(2)*-2))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 370, 486, 710, 1078, 1626?\nAnswer: 2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 6*n + 7*n + 3*n + 4. Let s be u(4). Suppose 5*k - 37 = -5*a + 3, 0 = 4*k - s*a - 32. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.61 + 11.11. What is the closest to 3 in 4, f, -0.3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 93, 101, 109?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 41300335*d**2 - 247802145*d + 371703285.\nAnswer: 5*(d - 3)**2*(d + 8260073)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 - 5052*i + 4*i**3 + 10*i**2 + 5053*i)*(-i + 0 + 0).\nAnswer: i**4 - 10*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 782 + b?\nAnswer: 78d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159 - -164. Solve 0 + n = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((48\/(-8))\/(-42)*-2)\/((567\/98)\/27)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let i(n) be the third derivative of -7*n**5\/120 + n**3\/2 + 4*n**2. Let u(r) be the first derivative of i(r). Give u(k(s)).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:16 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-6))\/(76\/(-171)))\/(18\/(-16))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x + 2. Suppose j = -3*l - 0 + 10, 4*l - 3*j = 35. Let z(f) = -f**3 + 6*f**2 - 4*f - 3. What is the least common multiple of y(1) and z(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 112*h + 1. Is k(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**4 - 1216*a**3 + 157*a**2 - 15*a.\nAnswer: -72*a - 7296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 128558609 to the nearest 1000000.\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14*10\/(-480)*(-112)\/147\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*b**2 - 6 + 1 - 244*b**2 + 5.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*c - 1 + 11 = 0, -2*l - 2*c + 12 = 0. Suppose -l*b + b = 588. Let x = b + 981\/10. What is the common denominator of x and -83\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -349*o**4 + 1052*o**4 - 8*o**3 - 27*o**2 - 349*o**4 - 353*o**4 as k*o**4 + s*o + d*o**2 + y + c*o**3 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxmh when four letters picked without replacement from {h: 4, m: 2, s: 2, n: 3, x: 2}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 28 = -4*m, 56 = 4*m - 8*m + 5*y for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**3 - 447*i + 447*i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 316.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/9)\/(0 - 2). Suppose -5*c = -r - 8, 5 = -5*r + 3*c - 35. Let l be (-4 - -6) + r\/2. What is the closest to 2\/7 in 3\/7, l, n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496.6291mm to meters.\nAnswer: 0.4966291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -158.0672372684 - -0.0672375204. Let s = b + 158. Round s to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724161566 to the power of 1\/3, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - (-4)\/(-6). Suppose -5*a + 241 + 79 = p. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*o + 199*o - 177 = 138*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3099713*q**3 + 573602*q**3 + 20*q - 20*q.\nAnswer: -2526111*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0387 to two dps.\nAnswer: -2.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 3*h**5 + h**3 + (-2*h**3 - 33*h**3 - 30*h**3)*(-h + h - 2*h**2).\nAnswer: 133*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 67*j - 9*j.\nAnswer: 73*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1841826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 1295284224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6593*y + 6585*y = -3*i - 9, 3*y = -2*i + 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + b**4 + 16282*b - 16363*b - 2 + (5*b**2 - 5*b**2 - b**2)*(-4*b**2 - b**2 + 2*b**2).\nAnswer: 4*b**4 - 81*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(((-30)\/55)\/6)\/(56\/(-308)). Let o be 2\/3 - (5 + -4). Sort o, 1\/11, n.\nAnswer: o, 1\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -3*n - 3*p, 301990*p - 301991*p = 56*n - 1509 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -220967 times 0.43?\nAnswer: -95015.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*f**3*j**3 + 127*f**3*j + 925669*f**2*j**3 - 123*f**2 - 321*f*j**2 - f - 2*j**3 + 2*j wrt j.\nAnswer: -90*f**3 + 5554014*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304\/(-24) + 176\/66?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 8*t = -12138. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:32 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 307054 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from hfe.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isvijsiwssivpji. Give prob of picking 1 s and 1 v.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, t: 1, r: 4}. Give prob of picking 1 f and 2 r.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from iuiuzuuiuuuiiizuuuui?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (6\/2 - 0 - (-224)\/(-140))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times 0.78?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 166. Let u(h) = -171. Determine -3*i(r) + 4*u(r).\nAnswer: -3*r - 186","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 15*g**2 - 207*g\/2 - 162.\nAnswer: (g - 36)*(g + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*l = -14, 3*l + 3 = -2*z + 4*l. Suppose 1 = 5*i - 3*s - 21, z = s. Solve i*b + j = 17, 5*b + 0*b - 5*j - 5 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - l - l)*(6*l**3 - 4*l**4 - 6*l**3 + (-3 + 1 + 3)*(-2*l**4 + 0*l**4 + 0*l**4)).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1 - 11 = 4*i, -3*i = 2*w + 4. Let y(z) = 3*z. What is y(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 - g + g + g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133706473.\nAnswer: 67, 79, 25261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 41*y - 36. What is o(13)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 843.8246 - 856.78. What is c rounded to one decimal place?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246 - -550. Let o = -45 + q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 889 - 882 + 1771.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41340)\/(-600) + -15 - ((-2)\/(-6))\/(10\/(-3))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (1 + 25 - (-168 - -177)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) -3\/7 (c) 2301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9256 - -24242. Suppose 14*m - j = 8*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*a - 286*a + 310*a = -12546 for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/100*-7*(-14)\/441*-9.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -50547404*k. Let y(p) = 2*p. Determine v(y(j)).\nAnswer: -101094808*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1841106634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 10. Let a(f) = f**2 - 5*f - 2. Let u be a(j). Let v(l) = -l. Let t(o) be the second derivative of o**3\/3 + o**2\/2 + 23*o. What is u*t(h) - 2*v(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 6*z + 10. Let d be c(-2). Let w be 14 + -4 + d + -11. Solve 0 = -6*s + w*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 38*h**7\/21 - 11*h**3\/2 - 22*h - 2. What is the second derivative of b(x) wrt x?\nAnswer: 1520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one halves of a day?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -299*v + 32. Let c(a) = -100*a + 11. Let l(w) = 8*c(w) - 3*m(w). What is the first derivative of l(r) wrt r?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 41. Calculate the remainder when f is divided by 235\/35 + 2\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5042.711 - 6548064\nAnswer: -6543021.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 3*r - 2. Let t(k) = k**2 + 10*k + 12. Suppose 2*h + 18 = -0*h. Let n be t(h). What is f(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-3)\/((-135)\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 4)*(-14*r**4 + 27*r**4 + 15*r**4) to the form o*r**3 + q*r + p*r**2 + u + n*r**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 10505351?\nAnswer: -10505353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1279*a + 0 - 4 + 4 + 1283*a - 6. Let o(g) = -g + 1. Determine 14*o(p) + 2*t(p).\nAnswer: -6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**3 + 11*j**2 + 2*j + 24. Let w(b) = -9*b**3 - 19*b**2 - 3*b - 49. What is -5*u(c) - 3*w(c)?\nAnswer: 7*c**3 + 2*c**2 - c + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 11 - (-2 - (0 + 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/12 + 11*v**3\/6 - 3*v**2\/2 - 2*v. Is k(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3632 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y + 24 = 0. Let o(j) = -8*j + 3. Let s(q) = 7*q - 4. Let i(x) = 4*o(x) + 5*s(x). Is i(y) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 + 98. Let g = -54 - u. What is the smallest common multiple of g and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -7)*(2 - 1). Suppose -3*y - h*o - 1 = -103, 2*o = 2*y - 68. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*27\/30*(-85)\/34?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**3 + 5*q**2 - 7*q + 13. Let b(o) = -3*o**3 + 3*o**2 - 4*o + 7. Let a(x) = 9*b(x) - 4*h(x). What is the tens digit of a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**2 - 15*z**2 - 21*z**3 + 16*z**2 + 4*z**2 - 2 in the form w + r*z**3 + v*z**2 + j*z and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 39*i**2 + 2050*i + 10197. Calculate c(-47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let m = -147.1 + 151.1. Let u = -1.6 + 2.1. What is the closest to j in m, u, 1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-21 - 11 - -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.58 (b) -6\/11 (c) 1\/3 (d) -0.5 (e) 216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 77778662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**6\/6 + a**3\/3 + a. Find the second derivative of x(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 48*k**2 + 23*k + 395. What is the thousands digit of j(45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1711, 1757, 1801, 1843, 1883, 1921, 1957?\n\"Answer: -f**2 + 49*f + 1663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllltbstsblt. Give prob of picking 1 s and 1 l.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1)*q**16\/q*(q*(q**(4\/11)\/q)\/q)\/(q\/(q\/(q*q*q*q**(-7)*q*q))))**(-38) assuming q is positive.\nAnswer: q**(-6840\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 2*c - 28. Let o(z) = z**2 - z - 1. Let p(x) = o(x) - r(x). Calculate the remainder when p(0) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62100*s**3 + 182971*s?\nAnswer: 372600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**7\/56 + q**6\/180 - q**5\/120 + 5*q**3\/3 - 9. Let t(k) be the third derivative of y(k). Give t(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 8*h**3 + 6*h**3 - 7*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 4*v**3 + 106*v**2 - 180*v.\nAnswer: -2*v*(v - 5)*(v - 2)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let j(x) be the second derivative of x**4\/6 - x**3\/2 + x**2\/2 - 4*x. Let k = -325 + 322. What is k*n(p) + j(p)?\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 212, 406, 600, 794, 988?\n\"Answer: 194*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let i(o) = o**2 + o. Suppose -2*d = -3*d + 4. Let h(n) = n**2 - 4*n. Let t(g) = d*i(g) + h(g). Calculate t(a(s)).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 4) to base 2.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - 2*sqrt(80)) + -5 + (sqrt(80) + (sqrt(80)*-2*1 - sqrt(80)) + sqrt(80))**2.\nAnswer: -4*sqrt(5) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 - 110 = 31*p - 13 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -89 + (-5 - -4) + -40 + 41.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 5, v: 2, q: 1}. Give prob of sequence fq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2\/11 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11 = 9. Suppose 29*i + 3 = 32*i. Let v = i + n. What is the least common multiple of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 60, 158, 308, 516, 788, 1130, 1548?\n\"Answer: j**3 + 17*j**2 - 6*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -2. Suppose 4*y - 8 = -4*s, y - 6*y = -u. Let a be -2 - s - -1 - -632. What is a rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 5)*-2*12\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252918 is divided by 1976?\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2234158 is divided by 642.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-43 + 7 - -3) + 9 - 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(5 + ((-1*sqrt(77))\/sqrt(11))**2 + 5).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -28, -7\/10, 1, -14, -1?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(-1*sqrt(931) + 0))**2*-6.\nAnswer: 357504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(4 + 11*m - 4) - m - 2*m + m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - n - 11057 - 26252, 9352 = x - 3*n. What are the prime factors of x?\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -84336829481?\nAnswer: 84336829481.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -2393.\nAnswer: 4546.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 6 - 135393*v**3 + 135376*v**3 to the form x*v**2 + j*v + r*v**3 + n and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*t + 229 - 949 = 0, 5*i - 719 = -4*t. Let y = 163 - i. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5010*i**2. Let t(v) = 442*v. Determine x(t(n)).\nAnswer: -978773640*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 670\/957 + -14\/33. Let g = -188\/261 + r. Let s = 1 + -5. Sort -1\/7, s, g in ascending order.\nAnswer: s, g, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let x(m) = -5*m - 10. Let y(f) = -4*h(f) + x(f). Differentiate y(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2. Let u(t) = -t + 6. Let i(f) = -5 + 0 - 2 - 4 + 2*f. Let g(n) = -6*i(n) - 11*u(n). Determine d(g(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1456*a**2 + 489*a**2 + 480*a**2 + 473*a**2. Let w(k) = -5*k**2. Determine w(v(y)).\nAnswer: -980*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 948 = -1267. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**4 - 198545*q**3 - 1972097485*q**2 - 21672626875*q - 35458452090 = 0.\nAnswer: -19849, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 + -8.2. Put 2, 4, q in decreasing order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.044*13.\nAnswer: -0.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -26*u - 8. Let q be b(-4). Let v = -15 + q. Let p = 65 + -11. What is the greatest common factor of p and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**2 + 10*k - 3. Let b = 115 - 74. Suppose -b*n - 35 = -36*n. Is q(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -a - 18. Let n(o) = o**3 - 11*o**2 - 12*o - 3. Let x be n(12). Sort x, a, 2.\nAnswer: x, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020092?\nAnswer: 2, 255023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70\/34331 + -424090143\/343310. Let o = -1522 + 2759. Let u = h + o. Find the common denominator of u and 61\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, 1 e, and 1 o when four letters picked without replacement from {n: 8, y: 2, o: 5, e: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 291*z**2 - 62*z - 190. Does 60 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+778\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4767 is divided by 159?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/4862 and 25\/10608.\nAnswer: 116688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-5)\/4)*(640\/144)\/(390\/1404).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by -31?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - b = 2*b + 5, -6 = 3*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:38 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 11215574\nAnswer: 3364672.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = b, -4*b - 2*q = 1 - 15. Suppose -3 = z - 2*i + b, 5*i = 20. Suppose -4*m - 155 = -z*j + 77, 0 = 5*j + 5*m - 270. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**3\/2 + 56*w. Let x(t) = 42*t + 1. What is x(s(m))?\nAnswer: 126*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5999, -10892, -15785?\n\"Answer: -4893*i - 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-110)\/130 - (-12)\/3) + 14 + -17. What is the closest to 4 in b, 25, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -75. Suppose -4*v + 3 - s = 0. Put 5, -1, v in increasing order.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 8 = 2*g - p, 5*g - 2*p = 10. Find the first derivative of -4*j**2 + 4*j**2 + 0*j**3 - g - 2*j**3 wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 2, c: 6, d: 6, x: 3, w: 1}. Give prob of picking 3 d.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355 + 5652?\nAnswer: 5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 13 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*j - 52. Let n = j + 51. Let w be (9\/6)\/(6\/4 + n). Solve -5*h = 3*u - 15, -h + w*h = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + -131. Factor -a - 2\/3*m**2 - 8\/3*m.\nAnswer: -2*(m + 1)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1209 and 1612?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d - 9864 + 8412 = -36*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -13, -21, -31, -43, -57, -73?\n\"Answer: -d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-11 - -22 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 5*y + 54 = 0, 764959 = d + 5*y + 764917 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4585572 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 10:41 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003761553 rounded to 4 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-10)*(-27810)\/2163.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/11, -4, 237, 0.6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*u + 1019 = -1693 + 750 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let p(j) = -4*j - j + 2*j**2 + 2*j**2 + j**3 + 2. Let w be p(-5). Let h(b) = -4*b**2 + 2*b**w + b**2. What is h(d(a))?\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.089 (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244 and 25934333.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 3*v + 12*v - 9*v - 9.\nAnswer: 3*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -634 divided by -5\nAnswer: 634\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.667 - 3.\nAnswer: 23.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-51 + (-4482)\/(-90))*(-3)\/(-9)*100.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**3 + 24*w**2 - 7*w. Let j(o) = -7*o**2 - 3. Let b(s) = 11*s**2 + 5. Let a(x) = -5*b(x) - 8*j(x). Determine 2*a(z) - i(z).\nAnswer: 2*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/2552 + -84211\/12760. Calculate the common denominator of m and -30\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 8298.\nAnswer: 8298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294242 and 190918?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.79 - 0.764. What is g rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g. Let m(r) be the second derivative of -r**4\/12 + 4*r. Determine d(m(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/63 and -65\/195606.\nAnswer: 1369242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 >= -1715.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -239684.\nAnswer: 23968.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.26 (b) -2\/3 (c) 0.1 (d) -4\/3 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 6*v = -45, -c - 29*v + 28*v = 25 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-4 - 1) + 352 + -361?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 8*r**2 + 8*r - 5. Let i be d(7). Let q = 7 - i. Let o(n) = -47*n + 1010. Let k be o(21). Solve -5*y + k = -2*h, -q*y + 25 = 2*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.9433242 rounded to 1 decimal place?\nAnswer: 114.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.741844 + -4.0913483.\nAnswer: -4.8331923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 4:58 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 313*h**3*t - 10085969*h**3 - 114*h*t + 11*t with respect to t.\nAnswer: 313*h**3 - 114*h + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2*r**3\/33 - 2*r**2\/11 - 48*r\/11 + 493. Let w(q) = 0. What is q?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 280?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 10*d**2 - 11*d - 4. Let s be q(6). Suppose 3*r - s = 4. Solve -1\/8*j**r + 1\/8*j**3 + 1\/4*j**4 + 0 + 0*j = 0 for j.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m + 6. Let p(s) = 4*s - 5. Let z = 155 - 150. Let t(n) = z*q(n) + 6*p(n). Let k(r) = r**2. Give k(t(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1249 - -28713\/8743. What is the common denominator of g and (14\/(-12))\/(108\/234)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.0410925482471.\nAnswer: -2.9589074517529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1674 or -1673?\nAnswer: -1674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-36)*-16)\/(7 + (-305)\/45)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11043031 (base 5) to base 13\nAnswer: -34cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q. Let v = 0 - -5. Suppose -13 = -2*r - v. Let u be k(r). Solve -g = 3*g + u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 1\/105*r**7 + 0 - 1\/60*r**4 + 0*r**3 - 3*r**2 + 0*r + 1\/100*r**6 - 1\/150*r**5 + 1\/420*r**8. Factor o(k).\nAnswer: 2*k*(k + 1)**3*(2*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omyoofoumo. Give prob of sequence yo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 176, 260, 3 in descending order.\nAnswer: 260, 176, 112, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from bbbzbzzbbzlzbbbbzb.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -272, -622, -1112?\nAnswer: -1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t**2 + 130*t - 1. Let z(m) = -388*m. Give j(z(s)).\nAnswer: 1354896*s**2 - 50440*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736802955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1)*(-8)\/2. Let x = -8 - -10. Solve -4*m - 8 = 0, 2*s = s + x*m + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 = -5*g + 14, g - 13 = -4*l. Solve 0 = -v + 2*y - 3*y + 3, 4*v = l*y + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from kaydkkkkkayklyklk.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -17*s**2 - 33*s - 7. Let h = 14 - 6. Let v(b) = -8*b**2 - h - 16*b + 13 - 9. Let o(j) = -4*k(j) + 9*v(j). Let o(m) = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 6*s - 2*s + (-2*s - 6*s + 2*s)*(-3 + 0 + 5) - 3*s - 4*s + 3*s - 5*s - s + 5*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/4, -1\/20, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 687189417 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17008095 (base 10) in base 6?\nAnswer: 1404313103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 + (6 - (-101235)\/(-4050)). Let y(o) be the second derivative of 17\/54*o**3 + 1\/3*o**2 - 11*o + 0 - s*o**6 + 5\/36*o**4 + 1\/60*o**5. Factor y(r).\nAnswer: -(r - 6)*(r + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198366 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 203751815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-180\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*l - 8*l - 131 + 195*l**2 - 48*l wrt l.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -654, -6, 5, 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -322 - -345. Determine d, given that -4*d - 31*d**2 - 26*d**2 - k*d**2 + 76*d**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 8. Let l(m) = -m**3 - 7*m**2 - 2*m - 4. Let a be l(f). What is the highest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - z**3 + 0*z**3 + z**3 - z**3 + z**3 + (z**2 + 0*z**2 + z**2)*(-z + 2*z - 2*z) - 2 - 4*z**3 + 6*z**3 - z**3 + 2*z.\nAnswer: -z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/50*((-2)\/3)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {k: 3, o: 3, z: 4, h: 3, v: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8669866*o**4 + 8669866*o**4 + 2*o**5 - o**5 + 3983*o**2 + 1515*o**6 wrt o.\nAnswer: 181800*o**3 + 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190*r**4 + 158 wrt r.\nAnswer: 760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 2488 = 7*d + 3*k, -3*d = -5*k - 3733. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from hhhghhhshjhhscjghkg?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -86520 divided by -3164?\nAnswer: 3090\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93543 is divided by 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Let y = -3805 - -3804. Let s(a) = -2*a**2 + a + 2. Calculate y*s(f) + 5*v(f).\nAnswer: -3*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -256 - -665?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45126599 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(432)*2)**2.\nAnswer: -144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.25847ms to seconds.\nAnswer: 0.07125847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3074 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2724*y + 1 - 3109*y - 1 to u + f*y and give f.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14484 divided by -2?\nAnswer: -7242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6400)\/(-24))\/(-3*4\/45450). What is o rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/12*32\/28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(4\/16*-2). Let a = w + 44. Let c(d) = -13*d**3 + d. Let b be c(-1). Solve 4*g + 4*l + b = a, 5*g - l + 40 = 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(14)\/sqrt(7)) + 5 - (sqrt(162) - (sqrt(162) + -3))) + -1 - (-2*2*(sqrt(180)*1)\/sqrt(10))**2.\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459705553?\nAnswer: 541, 849733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b = -4*p + 14257 - 14204, -3*p - 25 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 5*d - 4 + 25, -31 = -3*g + 5*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97469834 is divided by 2904.\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**7\/7 - 19*f**5\/5 - 371*f**3\/6 + 163*f. What is the second derivative of j(z) wrt z?\nAnswer: 120*z**3 - 456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 118. Let u = -16 - q. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000504 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*m - 37, -4*s - m = 1 + 66. Let y be s\/(-40)*639\/225. Let k = y - -9\/500. Find the common denominator of 43\/8 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002977 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -5191 (c) 2 (d) -0.4 (e) -5\/3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**3\/6 + t**2\/2 - 2*t. Let c be r(5). Let i(u) = -u**3 - 5*u**2 - 5*u + 2. Determine i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-102)\/27 - 4\/18. Let t(f) = f**3 - 4*f**2 - 3*f + 5. Let w be t(r). Let b = w - -226. Calculate the remainder when b is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 > -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eemyyyy. What is prob of picking 2 y and 1 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-3572.04194\nAnswer: -1071.612582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l - 79*l - 46 = -2*g, l + 27*g = 4*l + 57 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 bigger than 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 1. Let u be n(-3). Suppose -11 + 3 = o + 5*x, u*o = 3*x + 37. Suppose -2 = o*f - 8*f. Solve 2*g = -f*b + 4, 4*b - b + 29 = 4*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 3, -3, -39, -123?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.174 - 8.164. Are o and -1462 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 1, -2 in increasing order.\nAnswer: -3, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnfnfngnffffngnnn. What is prob of picking 1 f and 2 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 0.01 (c) 2\/3 (d) 15\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 28 - 4 = 0. Let v(q) = -q**3 + 5*q**2 + 9*q + 7. What is the remainder when v(o) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 21083\nAnswer: -6\/21083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 2*k**2 - 3*k. What is v(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 13. Let w = -0.3 + 0.4. What is the nearest to w in 5, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 45 = -5*k, -7*k + 3*p = -2*k - 55. Find the third derivative of -39 + k*w**3 + 73 - 34 - 163*w**2 wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 22*o = 19*o - 2114, 0 = -5*h + 5*o + 5280. Let j = -5316\/5 + h. Is -9 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -7. Let r = 10 + v. Let t = -327\/44 + 315\/44. What is the closest to 1\/2 in -2\/5, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-230)\/(-15))\/((-3)\/(-9)). Suppose u - 188 = -y. Let s = u + -68. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -260234*h + 9108188. What is o(35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cb152 (base 15) to base 2.\nAnswer: -10011101011100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 319\/26695?\nAnswer: 319\/26695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -20*s**3 + 6*s - 7. Give j(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93946 and 154528?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -997 divided by -1?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = -78. Suppose 3*a = 4*t - 31, 0*a + 4*a - 3*t = -c. Let o = a + 13. Calculate the greatest common factor of 32 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = -5*q. Let w be q\/(-7) - (-34)\/(-119). Suppose 2*u - n - 3*n + 14 = w, -22 = 5*u + 3*n. Sort u, 3, 6.\nAnswer: u, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125054 (base 6) to base 15\nAnswer: 3607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 3*y + 16 = -12*q - q + 6*y - 5*y, -3*y = 4*q + 3 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 64 (b) 3\/2 (c) 232\/5 (d) -0.014 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 756209.6g in tonnes?\nAnswer: 0.7562096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5331561858 to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 11*v**2 - 10*v - 2. Let d be t(10). Find the common denominator of -115\/6 and d\/11 - (-2766)\/693.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1713542472 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -213582+0.087098\nAnswer: -213581.912902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.048 + -0.04. Let x = g - -2.992. Let s = -32 + 33. What is the closest to 0 in s, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8647341 minus -8?\nAnswer: 8647349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -2995.\nAnswer: -1797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -29*t**3\/2 + 350*t**2 + 2*t - 1445. Give c(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, b: 3, j: 4, f: 3, x: 3, c: 3}. Give prob of picking 2 x and 2 j.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - -45 - (-10 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:47 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/26))**(-2\/85)*o**(-19)\/(o\/o**33) assuming o is positive.\nAnswer: o**(14366\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 0. Suppose x*q + 44 = 5*c + q, -5*c = -3*q - 28. Suppose c = 2*g - 0. Solve 2*o - o + g = z, 5*z - 29 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a + 15. Let s be n(3). Which is bigger: s or -16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -d - 600. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/72 and 53\/32105?\nAnswer: 2311560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 4*j**3 + 3*j**3)*(-4 + 0 - 7)*(-14 - 7 + 2).\nAnswer: 418*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3476*a**2 + 15 + 5 - 18 + 3241*a**2.\nAnswer: 6717*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 46*a - 41*a - 33 = 0, -7 = -3*l + a - 3*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 divided by -10?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:10 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/(-372))\/((-63)\/(-216))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 i when four letters picked without replacement from {g: 3, k: 2, i: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 + v**3 + 3*v**3)*(5*v + 3*v - v) + v**2 - v**2 - 2*v**4 in the form s*v + p + l*v**2 + r*v**4 + z*v**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 8*n - 1 - 10*n**2 + 6*n**2 - 5*n. Determine d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 28532*a**3 - a**2 + 6467*a**3.\nAnswer: 34999*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4926 and 49\/33.\nAnswer: 54186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -0.222099.\nAnswer: 0.122099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8474 + 24202*y**2 + 8474.\nAnswer: 24202*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3153*0.3\nAnswer: 945.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 10. Let k be d(-10). Suppose -k = -5*i - 0*i. Solve p + i = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 10. Suppose 0 = -4*u + 131 - 55. Suppose -3*k = 10 - u. Solve i - h = k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(80))**2 + 3 + -2*sqrt(5) + 1*sqrt(5)*6.\nAnswer: 4*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f - f**2)*(f - 4*f - 768 + 740) in the form l*f**2 + c*f + b + y*f**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 12?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4\/2 + 154903*u**3\/2 + 309803*u**2\/2 + 154901*u\/2 = 0.\nAnswer: -154901, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977299?\nAnswer: 977299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50635643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0.6, -4\/619, 1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.578*0.58.\nAnswer: 0.33524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2100 - 22?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 18. Suppose 3*p - 2*p = a. Suppose 3*t - 5*y = 101, p = -2*t - 2*y - 0*y + 94. What is the greatest common factor of t and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 9, 3*y = 4*z - 3. Let g be (5 + -1)\/(z - 1). Suppose g*f - 39 = -f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-2 + -6 - -3 - (-41 - -30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/1*2\/4. Let i(m) = 13*m + 2. Let c be i(b). Let f = c - 14. Calculate the highest common divisor of f and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.37, -0.3, -8\/31, -5\/6?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(572)\/(sqrt(55)\/sqrt(5)) + sqrt(832) + 4) + -3)**2.\nAnswer: 1700*sqrt(13) + 32789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 12 = 2*t, u = -t - 3 + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*v - 5, 0 = 253*p - 249*p + v + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1488337 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 781217551 to the power of 1\/2, to the nearest integer?\nAnswer: 27950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 + 369 = -13*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 66\/99*-9*3\/(-9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 80 = -12*a. Solve o - 18 = -5*r, -2*o + 3*r - a = -0*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*w + 6 = -9, -w - 5 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let i(m) = -10*m. Determine i(h(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19072494 to the nearest integer?\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -17*b + 2. Let v(q) = 9*q - 1. Determine 5*v(i) + 3*z(i).\nAnswer: -6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) 2 (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55520 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 47 = 7*p, 0*p - 5*p + q + 29 = 0. Solve -5*l + 23 = 4*a, 0 = 5*a - p*l - 0 + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7953 - -4896. Round y to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5\/(t*t**13)*t**0*t**(9\/4) assuming t is positive.\nAnswer: t**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) 2\/25 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 182 = 6*m. Sort 2\/11, m, -226 in descending order.\nAnswer: 2\/11, m, -226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = 4*z, 4*o + 3 + 9 = 0. Let i(m) = -m + 38. Let c be i(38). Suppose c = -3*q - z*q + 880. Calculate the highest common divisor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + (-10 - 0) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*2*4 + (sqrt(121) - (sqrt(121) - -4*(sqrt(121)*1 - sqrt(121)))))\/(sqrt(44)\/(sqrt(36) - sqrt(4)) + -1*sqrt(396)))**2.\nAnswer: 256\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, q: 3, w: 5}. What is prob of sequence qfq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1600 divided by -40\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 169431.3 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*i - 21139 + 21139 + 1 + 2*i - 1 + (0*i + 0*i - 2*i)*(2 - 2 + 4) + 3*i - 5*i + i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/(-2)*(-88)\/(-66). Are q and -211\/16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-616 + 616 + f**2)*(0 + 3 - 2)*(4*f - 3*f - 2*f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195.8 - -224. Let g = j - 28.5. Which is the second biggest value? (a) g (b) 1 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {o: 9, h: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 11 = 3*n, -4*y + 18 = -2*n for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 23 = 5*n, -4*n + 5*h - 4 = 4. Suppose -5*j + 1 = 11. Let m = 2 - j. Solve 4*t + 3*q + 7 = 0, 1 + n = -m*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(-41)*(g*g**1)**(-27) assuming g is positive.\nAnswer: g**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6509.989us to milliseconds.\nAnswer: 6.509989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44177 and 6311?\nAnswer: 44177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x - 11. Suppose 4*y = -7*t + 4*t + 7, 5*y + 3*t - 5 = 0. Does 2 divide z(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30141.9 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -41*s**4 - 101*s**3\/6 + 813*s. What is the second derivative of w(x) wrt x?\nAnswer: -984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 54. Let j = 38 + d. Let x = 0 - -0.1. Put j, -1\/4, x in increasing order.\nAnswer: -1\/4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123883574 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 34*k + 278. What is p(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82 - -94) + -6 + 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 5. Let o(b) = a - 3*b - b**2 + 2*b + 0 - 3. Suppose -20*n + 24*n + 12 = 0. Calculate o(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -329 + 353. Let u be (3\/2)\/(1\/2). Suppose -u*s - s = -c. What is the smallest common multiple of 8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2 - 2. Let f(s) = -s**2 - 7*s - 9. Let n be f(-6). Let c be 2\/((-10)\/(-4)*4). What is the nearest to u in c, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 + 1292?\nAnswer: 1293.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/10*(4255\/(-5106))\/((-1)\/(-2)).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15571329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0825 - 96?\nAnswer: -96.0825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 10449565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*r - 5*o, -5*o - 10 = -35. Let n be 4\/r - (5 + -3) - -5. Solve 9 = 4*u + n*b - 1, u + 2*b + 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(9272\/(-128))\/61?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208451880 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 8*a - 7. Let p be y(-10). Let z(l) = -7*l - 2*l**2 + 3*l**2 + p - 5. What is the tens digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -1 + 5 + -4. Is -1 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + 0. Let p(d) = d + 2. Let i be p(-5). What is the third smallest value in 4, i, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y - 7*y + 67 = 639 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6138 + 23*w**2 - 6138.\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25371454 and 62?\nAnswer: 25371454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(112) + (sqrt(7) - sqrt(14)\/sqrt(2))*-2.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.22 + 20.22. Let s = u - 20.7. Let f = 3.7 + s. Which is the biggest value? (a) -0.1 (b) f (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -3\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72477788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97280, -97283, -97286, -97289?\n\"Answer: -3*w - 97277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -m + 16, 5*m + 3*k = 7*k + 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f + 12 = 0. Solve k = -f*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Let b be -16*(-1 - v\/(-12)). Suppose -3*r = -r - b. What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**3\/3 + 7*g**2\/2 - 3*g. Let n be p(-6). Let h be 2\/n + (-44)\/(-60). What is the third biggest value in -3\/4, h, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84.061 - 84. Let h = 4.939 + g. Which is the smallest value? (a) h (b) 0.8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -265, -521, -939, -1567?\nAnswer: -2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p. Let v = -1 - p. What is the remainder when 8 is divided by (2 + (1 - 8))\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1992)\/144)\/(2\/(-12)). Suppose 5*k - 5*s = -s - 12, 2*k = 2*s - 6. Suppose f - n = -k*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**4\/12 + 128*x**2 + 20. Let m(z) = -3649*z**2 + z. Calculate q(m(a)).\nAnswer: -7298*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k + k**4 - 304 + 3*k**2 + 305 + 5*k**3 - 6*k**3 in the form m*k**2 + g*k**3 + t*k**4 + r + w*k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 20 = 5*t, -600*c + 597*c - 5*t + 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26752.75 + 26753. Do 154 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526765 is divided by 105353.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4190 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108\/9*1\/4. Let p(o) = o**3 + 2*o**2 - 2*o + 6. Let w be p(j). Suppose 2*z = -3*z + w. Calculate the remainder when 35 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 306\/(-34) - (2 - 12). What is the nearest to v in 4, -1, -11\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, 3, 12 in ascending order.\nAnswer: -2, 1, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 - 4. Suppose -6*j = -2*j. Give i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -246\/5 - -1481\/30. Let c be 0 - (-14)\/5 - (-4)\/20. What is the closest to c in 1\/3, 1\/2, 5\/6, k?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7224)\/2660*(-1)\/4 - 3754\/37540\nAnswer: 11\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10391, 20789, 31187, 41585?\nAnswer: 51983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*r**4 - 4 + 45222*r + 3*r**2 + r**3 - 45222*r wrt r?\nAnswer: 3912*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36370 + 736?\nAnswer: -35432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 9:56 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -554\/7. Which is smaller: 62\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = -28*d + 6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8579, -8471, -8365, -8261, -8159, -8059, -7961?\n\"Answer: -g**2 + 111*g - 8689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeoeeoo. What is prob of picking 4 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 10770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2164, -8, -2\/7, 0.5, -0.2, 2 in increasing order.\nAnswer: -8, -2\/7, -0.2, 0.5, 2, 2164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/12 - g**3\/2 - 2*g**2 - g. Let y be (9\/(-6) + 2)*-6. Give m(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - s - 15 = 0, 0*r = r + 4*s + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -576719\/30 - -19230. Let j = -57785\/9936 + 2\/621. Calculate the common denominator of j and a.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24427948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8652*v**2 - 11004*v**2 - 4714*v**2 as k*v**2 + h*v + b and give k.\nAnswer: -24370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18626 - 18622. Do q and 0.959 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h - 2600 = 47*h + 82*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (29 + 20 + -47).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -50*p**2 + 1595*p - 74. What is j(32)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13634, 26893, 40152?\n\"Answer: 13259*y + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6461869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7648582 to the power of 1\/2, to the nearest integer?\nAnswer: 2766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 3*t**2 + 6*t**2 - 2*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + j = 117, 26*j - 170 = -4*i + 27*j. Let s(w) = w**2 - 27*w - 579. Calculate s(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 + -186. Which is the third smallest value? (a) n (b) -0.3 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/55)\/((-4)\/(-310)). Are a and 0.13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7217576635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 6) to base 12.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6315 * 294.\nAnswer: 479.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 - 18\/45. Suppose 20 = s - b*s + 5*r, -5*s - 2*r = -169. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbhxynsy. What is prob of picking 1 x, 1 b, and 2 y?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/(-4))\/(4\/496)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010110 (base 2) in base 3?\nAnswer: -1112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:43 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -9 + -2 + 1 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949530118?\nAnswer: 2, 2281, 208139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 290*l**2 - 1. Let c(x) = 1982*x - 1. Give c(q(z)).\nAnswer: 574780*z**2 - 1983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1909, 26, -31, 3 in decreasing order.\nAnswer: 1909, 26, 3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/4 (b) 0.9 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 35, 36, 37?\n\"Answer: h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -75*t**2 + 62*t. Let u(a) = 148*a**2 - 123*a. Let c(y) = -5*s(y) - 3*u(y). What is the second derivative of c(r) wrt r?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 5*z + 1\/3*z**4 + 1\/3*z**3 + 0 + 0*z**2. Let m(d) = 91*d - 31*d - 30*d - 32*d. Give w(m(b)).\nAnswer: 16*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 184234 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 337218 and 372.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 11*h + 24. Let d(y) = y**3 + 5*y**2 + 7*y + 5. What is the units digit of d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -53, -288, -681, -1232, -1941?\n\"Answer: -79*a**2 + 2*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8786 - -8798. Suppose y = 2*w - 3*y - 4, w = -2*y + 10. What is the lowest common multiple of (12\/10)\/(w\/80) and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52579568 to the nearest integer?\nAnswer: 7251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l + l. Suppose 17 = -3*y - 3*j + 2, -4*j - 4 = 0. Let u = l + y. What is the nearest to 0.1 in u, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 45 = 21*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 + (-16)\/6. Let p(q) = -q. Let o be p(u). Let b be 299\/(-104) - (1 - 4). What is the closest to -2 in b, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*a + 46 + 3997 - 104 = 0. Calculate the greatest common factor of a and 15704.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*a = 25 - 1, -3*a + 8 = -c. Suppose -c*w - 2398 = -2*b, 0*b - 5*w = b - 1213. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -393 (base 12) to base 11.\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 + 11*p + 145*p.\nAnswer: 156*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8289, 16582, 24875, 33168, 41461?\n\"Answer: 8293*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -194, -1901, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/3, -1\/2, 5, 711 in decreasing order.\nAnswer: 711, 5, 1, 2\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-108 - -5) + (-269 - -220) + (24 - 1)\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283.04499 milliseconds to minutes.\nAnswer: 0.0047174165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 54 = -5*z, 0*m - 4*m + 26 = 3*z. Suppose -3*l + 3*g = -18, -2*g + 4*g = -z. List the prime factors of (0 - (2 - l)) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26455 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2)\/12*-9. Suppose -2*m + k + 40 = 3*m, -s*m - 5*k - 4 = 0. What is the second derivative of 13*c + 2*c**2 + m*c**2 - 7*c**2 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 741095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-8))\/(9\/(-30)))\/((-41)\/(-82))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 816822 and 1173.\nAnswer: 13885974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73*l - 107 + 104*l + 161*l wrt l?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 36421358*i\/15 - 28327712\/5.\nAnswer: -2*(i + 6070224)*(3*i + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/2)*w)**(-3\/4) assuming w is positive.\nAnswer: w**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38338?\nAnswer: 2, 29, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2557 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -104110155 (base 6) to base 4\nAnswer: -13021312313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3560.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180098?\nAnswer: 2, 19, 103, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m + 10492 = -25*m + 27*m. What is the remainder when 1721 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4211028\/27702 + (-296)\/25308?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Solve -p + 5 = 4*y - 10, p + y - l = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -779 from 0.9.\nAnswer: 779.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 11:32 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 + 155*u - 19. Give o(26).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, and 1 b when three letters picked without replacement from {b: 3, t: 4, e: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 1. Let d be ((-3)\/(-2) - 1)*8. Suppose 2*m + 4 = 3*b - 7, 20 = d*b. Let g be m*1*(-2)\/(-4). Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705837 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-10) - 2105\/10. Let p = g + 409. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227239 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 -4*b = 5*r - 37, -5*r + 5*b = -0*r - 10. Suppose -4*p + o - 18 = -o, 2*p + r*o = -39. Let c(t) = -8*t - 7. Is c(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(32) + sqrt(2) + -4) + -4 - (sqrt(128) - (sqrt(128)*1)**2 - (4 + 1*sqrt(2))**2 - 2*sqrt(6)\/(sqrt(6)\/sqrt(2))).\nAnswer: 12*sqrt(2) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -49.46. Let v = 7.46 - g. Let h = v + -7.000026. What is h rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/7 - (186\/3)\/(-2). Solve -3*v - q + 4*q - 24 = 0, w = -4*v + 3*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 13. Let f = h - -18. Which is the third biggest value? (a) -0.1 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4427957476?\nAnswer: 2, 1709, 647741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 134663209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 119218933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2.7, 2, 7, -0.4 in ascending order.\nAnswer: -5, -2.7, -0.4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/(-15))\/((-13051)\/261020).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27467*v**2 + 7 + 13736*v**2 + 13742*v**2 - 35*v**3)*(v**2 + v - v)*(-2 - 3 + 3)*(-3 + 2 + 2).\nAnswer: 70*v**5 - 22*v**4 - 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441791 is divided by 205825.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n**3 - 29*n**2 + 19*n + 19. Let s(g) = 3*g**3 + 7*g**2 - 5*g - 5. Let u(l) = -2*i(l) - 9*s(l). Suppose 2*y = 6*y + 24. Give u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 1\/3, 25, 13\/19 in descending order.\nAnswer: 25, 13\/19, 1\/3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5861636.\nAnswer: 2, 11, 101, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70226434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.7072kg in micrograms?\nAnswer: 51707200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-21))\/(((-58)\/28)\/(-29)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5)**15*(((z**(3\/2)\/z)\/z)\/z)\/z**(2\/19) assuming z is positive.\nAnswer: z**(2789\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 6:57 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 64*x**2 + 0*x**3 - 226 - 41\/2*x**4 + 0*x. What is the second derivative of z(k) wrt k?\nAnswer: -492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Suppose -4*a = -4*f - 8, -25*f + 24*f = 3*a - 22. What is x(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - i**3 + 2*i**3 + (-3*i + 6*i - 2*i)*(-i**2 - 3*i**2 + 2*i**2) + 12*i**3 - 37*i**3 + 5*i**3 to n*i**3 + g + z*i + o*i**2 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20100 (base 3) to base 14.\nAnswer: -c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, 20, 1 in decreasing order.\nAnswer: 20, 1, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from vbbbtbjyjbyjbjvvbj.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 6:18 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35819226 and 2214?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6102096 and 69850?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-10))\/((-4)\/(-10)). Let j = p - 2. Let c(o) = -1 + j - 1 - o. Let b(i) = -2*i - 4. Give b(n) - 3*c(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20002020 (base 3) in base 12?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15*9\/(108\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1483 divide 51813518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 7:05 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1264244 months to millennia.\nAnswer: 0.0000938687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 501810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 8:52 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 882878 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*l + 56*l + 111*l + 3*l + l - 2*l + (6 - 6 - 5*l)*(2 + 1 - 4).\nAnswer: 152*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 - 280*s**2 + 2425*s - 5750 = 0.\nAnswer: 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-15)*-2)\/3.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-10))\/((-2)\/15). Suppose -13*o = -133 + 16. Let w be 444\/o + r\/18. Calculate the highest common divisor of w and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.6. Sort -4, -0.4, x in increasing order.\nAnswer: -4, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/15 - 140726*o\/15 - 2252128\/15.\nAnswer: 2*(o - 70379)*(o + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 5. Let s be m(-6). Let r(v) = 67*v**3 - v**2. Is r(s) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/(-4) - -6 - (-17)\/(-36). Let r = 4.8 - 0.8. Let t(i) = i. Let z be t(-4). Which is the second smallest value? (a) j (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59383.\nAnswer: 43, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499)*-2)\/(sqrt(24)\/(sqrt(8) + sqrt(24)\/sqrt(3))).\nAnswer: -28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**3\/6 + 23*b**2\/2 + 10*b. Calculate the remainder when 20 is divided by h(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 65, 3\/4?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2220)\/37*3\/(-2). Let n = 1 - -9. Calculate the greatest common divisor of x and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 116 = 10*a. Let v = a + 17. Let o be (-4)\/1*3\/v. Is -1 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 871, 872, 873, 874?\n\"Answer: u + 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -6, 5, 1, 548, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3504919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -77704?\nAnswer: -77716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**24*n)\/n**(1\/11))**(2\/103) assuming n is positive.\nAnswer: n**(570\/1133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*sqrt(65)*-1 - sqrt(65)))\/((sqrt(35) - (sqrt(560) + -3*sqrt(560) - sqrt(560)) - sqrt(35))\/sqrt(7))*2.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 70 + 11*l + 19 + 25.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2*1\/((-3)\/(-102))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzhhhzzzzzh. Give prob of sequence hh.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - (-14 + (-246 - 1)). Solve i = 4*m + 290 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkbkbkkkkbbbbkbkkbbk?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1656305.\nAnswer: 5, 7, 37, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 303 + -145. Let l = -37 + 102. Let p = c + l. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.088 + -0.288. Let h = 0.2032 + 4.7968. Which is the biggest value? (a) 1.5 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 - 152. Suppose f*w - 55 + 1 = 0. Calculate the greatest common factor of w and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 3, r: 1}. Give prob of picking 1 u and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s - 3*w - 270 = 0, -w - 5 = 0. Let d = 456 + s. Does 27 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + 20. Let v be (-2 - -2)\/(3 + -5). Suppose v = -c - r*c + 100. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)\/t*t)**(-37)\/(t*t*t**(-2)*t**(-4\/3)*t) assuming t is positive.\nAnswer: t**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*b - 30, -3*a - 5*b + 4 = 5. What is the remainder when 15 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (668 - -5 - 7)\/((-2)\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4 + -3 - (-687 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/36 and -38\/243?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -326*o + 2086. Let b be r(6). Which is greater: b or 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbbbbbh. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 + 331. Is 38 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -31*f - 20. Let t(c) = 204*c**2 + 39*c. What is t(x(m))?\nAnswer: 196044*m**2 + 251751*m + 80820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*z - z = -56, 20 = -p + z. Which is smaller: p or -15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**3 - 29*v**2 - 1821*v + 3810103?\nAnswer: 9*v**2 - 58*v - 1821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7876 divided by 716.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/((2\/9)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**2\/2 - 3*a + 454. Let m be -1 - ((-1)\/(-1) - 2). Determine g(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/(3\/660). Suppose -2*q + 4*q = 22. What is the greatest common divisor of q and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -62 + (6 - (-1 + -13 - -19))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17483974 is divided by 5827977.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.026 + -0.026. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59022 and -0.036?\nAnswer: 2124.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + -15.07. Let x = n - -18. What is the nearest to 2\/5 in x, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*d**2 - 6*d**2 + 2*d**2)*(-3*d + 13*d + d)*(-2 + 2 - d) in the form n + t*d**4 + l*d**3 + p*d**2 + v*d and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrprppppprprr. What is prob of picking 1 r and 1 p?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 3032?\nAnswer: -3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 1, g: 1, f: 1, o: 1, a: 2}. What is prob of sequence op?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602 (base 10) in base 16?\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fifzyfzgigfzfyhhf. Give prob of sequence if.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 157*p + p**3 + 310*p - 157*p - 4 to the form u + y*p**3 + s*p + v*p**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 475286.8l?\nAnswer: 475286800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f**2 - 18043*f + 7703*f + 10340*f.\nAnswer: 55*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 930627*j - 3568808 wrt j.\nAnswer: 930627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1612 - -2377. Is j a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/10 - -19\/30. Let v = -9 - -5. Which is the nearest to -0.1? (a) 0.4 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*k = 127*k + 128 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**2 - 5*r**2 - 1914*r - 10*r**2.\nAnswer: 2*r**2 - 1914*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 157901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 212512271?\nAnswer: -212512270.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.65 and 37.\nAnswer: 320.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 3*a - 8 + 8)*(-a + 6*a**2 + a + (-a - a + 9*a)*(-7*a - a + 5*a)*(4 - 4 + 1)).\nAnswer: 30*a**4 - 45*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 16*o - 17. Let h be p(17). Suppose h = d + 5 - 10. Suppose x + 0*x = 1. Solve 11 = d*v + x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 15 - (-8 + 1)) + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 4 + 15 - (-1 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8105418019 - 721\nAnswer: 8105417298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28463994 by -3162666.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -21. Suppose -3*z + 281 = 2*z + l, 5*l = t*z - 134. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 18*r - 5. Let z be k(-18). Let w be (-10229)\/z - (-2 - (-45)\/25). Suppose w = -5*q + 11*q. Calculate the greatest common factor of q and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21194075 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26523860.\nAnswer: 2, 5, 11, 120563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3610 = 184*k + 482 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/5 (b) 24 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2982204 and -2982204 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16062 divided by 2.\nAnswer: 8031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 2ab?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1457, 1420, 1373, 1310, 1225?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101)\/(-2) + (-1328)\/2656.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*j - 3*z, 3*j + 3*z + 3 = -6. Let n = 6486 - 32428\/5. What is the fourth smallest value in -194, j, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -85735486352 and -1.\nAnswer: -85735486353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*v - 344 = 154*v. Does v = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + o + 4 = 0, -24*o = -19*o + 5. Suppose 201 = 2*w - s*u, -2*w + 4*u + 221 = 5*u. What is the remainder when w is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*z**5 + 192087*z**3 - 2662*z + 199 wrt z.\nAnswer: 140*z**3 + 1152522*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3414975?\nAnswer: 3, 5, 45533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.27, 0, -65?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -h - 6*f, 5*f = -5*h + 587 - 557 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -415*y - 9*y**2 - 1070 - 6*y**2 - 2*y**3 + 17*y**2 + 418*y to the form h*y + d*y**2 + z + j*y**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4264 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3215025 is divided by 408?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 41037, 94?\nAnswer: 41037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17210 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)*k*k\/k**(-4\/3)*(k**5\/k)\/(k*k*k\/(k\/(k\/k**1*k))) assuming k is positive.\nAnswer: k**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33447231 and 1.\nAnswer: 33447232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - 0 - (-363)\/(-18) and 268\/(-40) - (3 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30996 + 663 = -880*h + 7399 + 38828 for h.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(396) - 5*sqrt(396)*-1))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5827412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 5, 1381.78, -3, -2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(6\/7)\/l**(3\/11) assuming l is positive.\nAnswer: l**(45\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2890124 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112079.411 + 110053.39362. Let s = w + 2026. Round s to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/176 - (-3 + (-5 - -3))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -43*y. Let b(c) be the second derivative of -c**6\/180 + 43*c**3\/6 + 23*c. Let k(s) be the second derivative of b(s). Calculate k(x(i)).\nAnswer: -3698*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/12 - (-852)\/72.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1370*w**3 - 2164. Let u(m) = -2*m**3 - 1. Let c(k) = j(k) + 3*u(k). What is the derivative of c(n) wrt n?\nAnswer: 4092*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**4 + f**4 + 0*f**4)*(-134 + 4 + 6) + 24*f**4 + 34*f**4 - 38*f**4 to the form o*f**3 + y + i*f**4 + t*f + r*f**2 and give i.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2438886074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**4 + 0*i**4 + 41*i**4)*((2 - 1 + 1)*(-1 + 1 - 1) + 5 - 2 + 5) to the form n*i**3 + q*i**2 + d*i + h + k*i**4 and give k.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3239646*m**3 + 1201479 wrt m?\nAnswer: -9718938*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/((-12)\/(-30)) - -8 - -123. What is the highest common factor of v and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 68*q + 5. Let s be u(0). Find the third derivative of -40*t**5 + 38*t**s + 17*t**2 - 5 + 149*t**3 - 39*t**3 wrt t.\nAnswer: -120*t**2 + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255 + 259)\/((-5)\/(-105)*-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 9 + 4 + -3 + -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 301*i + 168*i + 14 - 255*i)*(0 - 2 + 1) to the form d + q*i and give q.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdoolkkollokllkkd. What is prob of picking 2 d and 1 o?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.799352 litres in millilitres?\nAnswer: 3799.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84712.590068 - 84713. Let p = -0.449 + 0.039. Let o = p - i. What is o rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/13382586 and -37\/500709?\nAnswer: 147208446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*(i**(-11)\/i)\/i*i)\/(i\/(i**(1\/10)*i)) assuming i is positive.\nAnswer: i**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/75, -0.113267, 4?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.997659kg to milligrams.\nAnswer: 7997659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1407*z + 7877. Calculate w(6).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3355)\/(-495) + (-4)\/(-18)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -620 - -732. Calculate the least common multiple of i and 9.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40823893, -40823891, -40823889?\n\"Answer: 2*y - 40823895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 264034187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 284 + -812. Let i = 2227 + h. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 31*m + 9. Let o = 72 + -87. Let k be b(o). Calculate the greatest common divisor of 48 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 3) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, e: 3, a: 1, x: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(2*z**4 - 4*z**4 + z**4) + 47*z**4 + 2*z**2 - 10960*z**3 + 10960*z**3.\nAnswer: 48*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 11:53 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 104, 309, 586, 929, 1332?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - u**2 + u + 1. Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.67404 + 46565.32596. Let r = h + -46533.931. Let s = r + -32. Round s to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.11 minus -0.1?\nAnswer: 13.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/10)*v*v*v\/(v\/v**(-4))*v)**(-15) assuming v is positive.\nAnswer: v**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 1430048*n - 255629660288.\nAnswer: -2*(n + 357512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 16 = 8 + 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21018 - 21043. Which is the closest to -3? (a) f (b) -0.15 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2216734 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 5. Let q be x(4). Let p(o) = o**2 + 5*o + 3. Let u be p(-3). Let t = u + q. Solve 6*i - 3*i - 12 = t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6194 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.7? (a) 2\/19 (b) 0.64 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 62 = f, 3*f - o - 82 = 104. Let q(a) = a**2 - 2*a - 10. Calculate the remainder when f is divided by q(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 21 = -3*s, -3*r = -r. Suppose -s*y = i - 3*y - 7, 4*i = 4*y + 108. Suppose -4*x = -106 - 74. Calculate the remainder when x is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5597\/4191 - -3\/1397. What is the closest to -0.1 in -138, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 552*x**5 + 391*x**4 - 2*x**3 - 26418*x**2 - 123*x?\nAnswer: 33120*x**2 + 9384*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 = 3*b - 0*b, -2*q - 10 = 2*b. Suppose 3*t - 108 = m - 865, 1516 = 2*m - 5*t. Let c = m + -761. Sort b, 1, 3, c in descending order.\nAnswer: 3, c, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a + 126 = 0. Let h = a - -125. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 130 = f, -f + 4 = f. Suppose -15*p - n = 42. Let q be (0 + 1)\/(p\/(-15)). Sort 5, -4, q.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -12 - 2*g**2 - 3*g + 2 - 9*g + 0*g**2. Let s be a(-4). Solve 0 = d - b - 3, d + 1 = s*b - b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-32237*m + 5*m**4 + 32239*m - 7*m**4 + 458*m**5).\nAnswer: 458*m**5 - 2*m**4 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {n: 3, b: 3, h: 7, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 1 + 1 + 1 - 1 - 3*t + (0*t - t + 3*t)*(-4 + 6 + 0) + 6*t - 10 + 10.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 1.53. Let i = l + 0.03. Which is the nearest to i? (a) 4 (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220221200 + -1211?\nAnswer: -221000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -30. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y = 315. Let b = 45 - 68. Let c = -8 - b. Calculate the highest common factor of y and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = o + 2*o. Suppose -g - o*g = 13*g. Suppose 6*x = 10 + 8. Solve 0*r = 4*r, g = -x*l + 2*r + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5957*i + 3*m + 19 + 17 = 5954*i, -4*i - 17*m - 48 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.086 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64, 103, 156, 223, 304, 399?\n\"Answer: 7*a**2 + 18*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3. Let h(s) = -4*s**3. Let v = 3 - 8. Calculate v*u(o) + 4*h(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -31. What is the smallest common multiple of w and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*v**3 + 34*v - v**3 - 40*v to l + f*v + k*v**3 + r*v**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 48. Which is the biggest value? (a) -0.15 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -468, -1067, -1906, -2985, -4304, -5863?\nAnswer: -7662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81841\/19256 + 366\/83. Let j = y - 1\/29. Which is the third biggest value? (a) 3 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3149226, 3149194, 3149154, 3149112, 3149074, 3149046, 3149034?\nAnswer: 3149044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 83 = -1. Let v be 16\/(-6)*g\/14. Solve -20 = -0*y - v*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 + 6*a**2 - a**2 - 2*a**2 + 0*a**2 + 4*a**2 - a + a + a**2 + (-3*a**2 + 4*a**2 + 0*a**2)*(-4 + 4 + 3) + 85*a**2 + 57*a**2 + 110*a**2.\nAnswer: 259*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.018 - -13. Let x = k - 22.982. Let z = -22.6 - x. Put z, 5, -4 in ascending order.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 9 + -37 + 24 + -58.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*q**2 + 5*q**3 - 204*q**2 - 60*q**3.\nAnswer: -55*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10841070 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58412*d*w**3 + 88*d*w - 31817130*d wrt w?\nAnswer: -175236*d*w**2 + 88*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 19*o**2. Let q(g) = 6*g. What is b(q(w))?\nAnswer: 684*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/7 (b) -2\/3 (c) 6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105796 divided by 26449.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwcqwqwwcwewjc?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*o + 12 = 2*o, -10 = -2*f - 4*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 43*l**2 + 6*l + 10. Let g(d) = -29*d**2 - 4*d - 7. Let k be ((-8)\/(10 - -6))\/((-4)\/(-40) + 0). Calculate k*a(u) - 7*g(u).\nAnswer: -12*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 17*a**3 + 2*a**2 + a. Is p(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -3.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-18 - -9 - (-5 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 + 2*m**3)*(8*m - 75*m + 138*m) - 5*m + m**4 + 5*m + (-3*m + 2*m**3 + 3*m)*(5*m + m - 4*m).\nAnswer: 147*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59618.02m to centimeters.\nAnswer: 5961802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0727 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 415*z. Let f(x) = -2*x**2. Determine f(q(a)).\nAnswer: -344450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64747*u**6 + 31489*u**2 wrt u.\nAnswer: 7769640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -468 from -120457.29.\nAnswer: -119989.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4\/4 - 90*p**3 - 6534*p**2 + 554040*p + 28422252 = 0.\nAnswer: -54, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 436115346 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 - 9*i**2 + 13*i. Let t be p(2). Let m be (-2)\/(1\/(3\/(-2))). Let a be (-1 - -2 - -10)*m. What is the highest common factor of a and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00178639034 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*s + 605. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37606207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -164, -575, -1230, -2129, -3272, -4659, -6290?\n\"Answer: -122*x**2 - 45*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 124066*a**2 - 32*a + 3. Is m(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -412*h**3*o - 2*h**3 + 3*h**2*o - 2*h**2 + 5693 wrt o.\nAnswer: -412*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 30*x**2 - 42*x + 314. What is t(31)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*x + 16, 21*w - 5*x = 17*w + 23 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-10 - -16) + -3 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*w - 4*h - 3, 0 = 4*w - 2*h - 10. Suppose -3*t + w + 4 = 0. Suppose d - 21 = t. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, 2.4, -4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1\/6 (c) 1.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let v = s + 3. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 15*m + 8. What is o(-11)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -4\/7, -2\/7 in ascending order.\nAnswer: -4\/7, -0.5, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -4\/3, -17, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Let q = 28234 - 310576\/11. What is the smallest value in -1, q, p, -1\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*c - 15 = 0, -9*g + 5*g = -3*c + 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z + 2. Let m be p(-7). Let k be (192\/72)\/(4\/(-6)). Suppose 2*h - 4*h + 4 = -2*f, 10 = -5*f - 5*h. Sort f, k, m in ascending order.\nAnswer: k, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 37*i + 67 = 41*i, -2*i + 241 = 3*s. What is the remainder when 309 is divided by s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*t - 258147*c - 33369991*t + 135 wrt t?\nAnswer: -c - 33369991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/1)\/2 - -2. Let t = -14 - -8. Let j be 1 - (t - (-6)\/l). Solve 6*i - i - 15 = 0, j = 4*f - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/92 or 0?\nAnswer: 9\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 62*b**2 - 22*b + 13. What is g(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7747950 a multiple of 471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*b**3 - 2*b**3 + 22*b + 23 + 2*b**2 + 13*b + 9 in the form p*b**2 + h*b**3 + t + d*b and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258, -11, 76420 in ascending order.\nAnswer: -258, -11, 76420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365*i - 23*i**3 + 365*i - 149*i**2 - 1538 + 157*i**2 wrt i.\nAnswer: -69*i**2 + 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 100 = -5*r. Let c be 17*r\/14 - (-6)\/(-21). Does 14 divide (c\/(-8))\/((-3)\/140 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**3\/18 + 5*l**2\/3 - 22*l\/3 - 83. Factor v(s).\nAnswer: (s - 2)*(s + 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 285 + -549\/2. Suppose -22*f + 44 = -18*f. Which is greater: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5)*-4)\/(24\/(-60)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7*x*x**10*x assuming x is positive.\nAnswer: x**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242797 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -42, -123, -244, -405, -606?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/(-3)*(-744)\/93?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-322)\/(-1127))\/(3\/(63\/(-75)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((7*12)\/(230\/138))\/((-2)\/(-90)). Solve 2272*a - 8 = t*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10167, -20197, -29949, -39285, -48067, -56157?\n\"Answer: 23*r**3 + r**2 - 10194*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4 - 19449*n + 2 + 19450*n. Suppose 12 = 5*j - 3. Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a + 22*a + 2*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*n = -8 - 4, 0 = -3*l + 5*n + 20. Let c be 0 + (11 - 4) + -3. Let a be c\/6*(-6)\/(-94). Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from dddididhc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 353291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = 4*y. Suppose -3*h + 2*k = -h - 24, y*h = -k + 9. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*z**4 + 8*z**4 - 4 + 3 + 7*z**4 wrt z.\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkzwkzzkzkazwzzzzkkz. What is prob of sequence za?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55673.09 millennia in months?\nAnswer: 668077080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 - 44\/(-3). Suppose p = w - 52. Let t(h) = h**3 + 67*h**2 - 143*h - 180. Let k be t(-69). What is the highest common factor of w and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:28 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -85*c**2 - c. Let t(y) = 13*y**2. What is b(t(u))?\nAnswer: -14365*u**4 - 13*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -158, -175, -192?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.1 (b) -2\/891 (c) -2\/3 (d) -4 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3098*f**3*n**2 - 2*f**3*n*u + 978*f*n**2*u - 2*f*n**2 wrt u.\nAnswer: -2*f**3*n + 978*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*g - 10 = 0, -3*g - 2 + 5 = 0. Suppose 0 = -2*o + 2, 3 = w*c - o - 0*o. Suppose -z = c - 4. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990326981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**2 + 8*i. Let d = -84 + 118. Let q(h) = 20*h + 21*h - 6*h**2 - d*h. Let v(t) = -3*a(t) + 2*q(t). Find the second derivative of v(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/11)\/(r**(-2)*r*r))\/((r**(-7)*r)\/r*r**(-2\/9)*r) assuming r is positive.\nAnswer: r**(670\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let v = 109670 + -109670. Which is the second biggest value? (a) g (b) -0.09 (c) -4\/3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*h - 10, 3*h = p + 9 - 3. Suppose -3*t = 3*w - 198, -2*t + 0*w - 5*w + 135 = p. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 831 + 0*h - h + 0*h - 831.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y - 5*i = -53*y - 19127, -23950 = 5*y + 2*i. Are -4784 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - -1 - (17 - 29985).\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 24*z - 493 + 0*z**2 - 8*z - 2*z**2.\nAnswer: -2*z**2 + 16*z - 580","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.761876 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 225*c + 2445. Determine m(-11).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/108 and -59\/5652.\nAnswer: 16956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 1, m: 1, a: 1, n: 1}. What is prob of picking 2 a and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00088803 rounded to five decimal places?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*j - 1829*j + 1457*j.\nAnswer: -68*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*q**2 - 2*q - 24.\nAnswer: 2*(q + 1)*(11*q - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*o**10 assuming o is positive.\nAnswer: o**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112346860 and 105?\nAnswer: 2359284060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -1, -8541\/14, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 7, r: 2}. What is prob of sequence uur?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 575841\/37 or -2?\nAnswer: 575841\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 7. Let w be n(-3). Sort 2, 6, w in decreasing order.\nAnswer: 6, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 598 - 597. Let s = -4.95 - 0.05. Is j bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 1 - 383*t**3 + 163*t**3 + 197*t**3 - t**2.\nAnswer: -23*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let t be (v\/2 + 1)*-6. Suppose 0 = 7*m + m + 8. Which is the nearest to m? (a) 0 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.685307 to 0 dps.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9474751, -9474753, -9474755, -9474757, -9474759, -9474761?\nAnswer: -9474763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 1:28 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*n**4 - 165*n**3 + n**2 + 3183*n - 1?\nAnswer: 144*n - 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1928863, -1928911, -1928959, -1929007, -1929055, -1929103?\n\"Answer: -48*b - 1928815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*b - 19 = 5*h - 63*b, 0 = -4*b + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56700543?\nAnswer: 3, 23, 821747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87*4\/48 + -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 19. Calculate the greatest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 9*i - 9. Let s(k) = -k**2 + 8*k - 8. Let x(v) = -5*b(v) + 6*s(v). What is x(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -14. Let o = u + 6.6. Let m = 1.5 + o. What is the closest to 2 in m, -1, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 63*r - 10*r - 22*r)*(5 - 4 - 2) to the form v*r + p and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-2) - 2\/2*25\/(-50). Solve -4*x + u = -11*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111112202000 (base 3) to base 9.\nAnswer: -1445660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 18\/17217095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = 0. Let r(h) = -2*h + 4. Let k be r(u). Solve 0 = -k*s - 5*p - 0*p - 20, 8 = 4*s - 2*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s + 5*v = 45, -5*v = -4*s - 40. Put 3, s, -4 in descending order.\nAnswer: 3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 102.3681 and -2821.\nAnswer: -2718.6319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-21)*42\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*c + 10, -2*w - 25*c = -29*c - 4. Suppose 0 = 5*u - 27 - 73. Suppose 9*h - 4*h = u. Solve w*n = h*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8333*z**2 - 2*z. Let c be m(6). What is c rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03264 and -2.\nAnswer: -0.06528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-2*(sqrt(204) - 1*sqrt(204)) - sqrt(204)))\/(sqrt(120)\/((sqrt(360) - 1*sqrt(360)) + sqrt(360))))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3837 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 1225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483892397.\nAnswer: 281, 1722037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (56 - 51 - (-2 + (8 - -3)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 975.98 - 976. Which is the smallest value? (a) -1 (b) 2 (c) -3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65379 is divided by 910.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2. Let c(a) = -8*a - 118. Let n be c(-15). Suppose -3*b + n*h = -3, 0*b = -2*b + 2*h + 4. Let t(g) = g. Give b*y(l) + 2*t(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1266220 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74 plus 5253685?\nAnswer: 5253684.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-3360)*25 - (-2)\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) - (sqrt(147) + (sqrt(147) + -1 - sqrt(147)) + sqrt(147)))) + -1 + 1 + -3*(-3 + (sqrt(3)*-1 + -3)**2).\nAnswer: -28 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/12)\/((-2)\/3). Let p = 15 + n. What is the least common multiple of 32 and p?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x - 139*x + 29469 = 258*x + 59*x for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908211337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*n + 311902 = 80*n - 555338. Calculate the greatest common divisor of n and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(-2 - (-1 + 0)). Let x(l) = 123*l + 734. Let y be x(-6). Put k, -0.3, y in decreasing order.\nAnswer: k, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 e when three letters picked without replacement from irlruek.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/30 - (-3)\/(-5). Let m be (30 + -35)*(-24)\/(-10)*x. Suppose 0 = 5*o + 2*f - 19, 3*f - 18 = -5*o - 2. Solve -o*h - m = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2218\/25, -5, 0.4, 948?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1101 - -628. Let o = 473.7 + t. Which is smaller: o or -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 187\/68*(-10 + 0)*-16. What is the highest common divisor of s and 704?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 + 32*o**3 - 15*o**3 - 8*o**3 - 13*o**3.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*x + 22, 932*x = 929*x + 5*t + 36 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.1*-0.10099\nAnswer: -0.212079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 13*k**2 + 35*k + 20. Let b(c) = 16*c**3 + 63*c**2 - 173*c - 100. Let o(n) = -2*b(n) - 11*p(n). Give o(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 + 66*k**2 + 6*k**2 + 35*k**2.\nAnswer: 94*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllqlqqlllllq. What is prob of picking 2 l?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4831 = -5*x + 2*d + 101, 0 = -3*x + d + 2959. Let a = x - 343. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.2 + -1.8. Let f = -26 - l. Let d = -0.2 + -0.8. Is f at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7338865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 37*d**2 + 2*d**3 + 3*d**4 - 39*d**2 + 86*d**2 as m + q*d**2 + z*d**4 + y*d + u*d**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651553391.\nAnswer: 739, 881669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3026\/9 - 336. Let d = 20\/21 + -9\/7. Which is the nearest to d? (a) 2\/15 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Suppose -x*j - 12 = 2*o, 0 = -j - 3*j - 16. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -870*k**3 + 399*k**3 + 421*k**3 - 17*k**2.\nAnswer: -50*k**3 - 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -1\/11, 4\/7, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**5 - 159*l**4 + 1760*l**3 - 7550*l**2 + 10500*l + 3125 = 0.\nAnswer: -1\/4, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 - ((-18 - -11) + -6). Suppose -o = -r - 23, 4*o = r - 30 + 107. Solve g = d + o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-287)\/49 - -7)*(-1)\/(-2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452517, 453076, 453637, 454200?\nAnswer: 454765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3533 + 14201\/4. Let r be 135\/21 + (-4)\/4. Let c = 859\/28 - r. What is the common denominator of c and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -15*s**2 - s. Let l(u) = 5*u**3 + 60*u**2 - 7*u + 708. Let n(c) = l(c) + 4*p(c). Differentiate n(o) with respect to o.\nAnswer: 15*o**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(27\/12)*(-1)\/(-2). What is the remainder when ((-17)\/(-2))\/(x\/4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 6. Let y be x(-3). List the prime factors of 2191\/17 + y\/51.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25114340 (base 6) to base 12.\nAnswer: -3289b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66.5 + 66. Let a = 4\/161 + -358\/1449. What is the closest to 0 in 2\/3, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*i - 28, 2*i = -q - 3*q. Suppose -2*l + 1866 = -2*p, -585 = -q*l - p + 1266. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a kilometer in meters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40589039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 - 67. Calculate the smallest common multiple of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6 + 2*(-5)\/30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20c114 (base 14) in base 10?\nAnswer: -1108790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1410 and 24246.\nAnswer: 5697810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 5*w + 4*v + 88, 4*w + 4*v = 92. Let j(n) = -2*n + 43. Let k be j(w). Solve -4 = -k*f - f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 139*z + 4348. Let k be i(-31). Solve 36*x + k = 75 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upp when three letters picked without replacement from ppu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyf when three letters picked without replacement from tqfftffihiyftyf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.052, -1, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/720483 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2 - 6*b + 5. Suppose -v = -2*u + 3, 61*v + 30 = 66*v + 5*u. What is x(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 63*p**2 + 120*p - 119. Let r be v(-61). Solve 2*j = 4*a - 36, -2*j = r*a - 5 - 8 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 100*w - 96*w - 2*z + 17, 0 = -5*w + 2*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -112, -174?\n\"Answer: -62*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -277764427*a**5 - a**2 + 354439*a - 84.\nAnswer: -16665865620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/10623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -606 + 640. Calculate the greatest common divisor of 918 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -129?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -19*a**2\/2 + 39*a - 58. Differentiate x(b) wrt b.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17e7 - -122e6?\nAnswer: 13acd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4102594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28396 + -28393. Sort -5, 0.3, -56, -1, s in descending order.\nAnswer: s, 0.3, -1, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -41*a**2 + 4*a - 27 + 4*a + 5*a + 42*a**2. Let n be d(-15). Solve -n*q - 4*h - 5 = 0, 0*q + 5*h + 5 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 less than 3474.813?\nAnswer: 3011.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*d**3*u - 637*d**2*u - 5*d*u + 32*d - u - 3 wrt d?\nAnswer: -288*d*u - 1274*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22088132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 + 12*q**2\/11 - 128*q\/11 - 768\/11.\nAnswer: 2*(q - 8)*(q + 6)*(q + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123574953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 3*g**2 - 4*g**2 + (-2*g + g + 6*g)*(10 + 13*g + 225 - 34) as t + x*g + i*g**2 and give x.\nAnswer: 1005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 51 = -2457*v + 2453*v, -6*v + 2*t + 8 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8760 divided by 292\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppew when four letters picked without replacement from {e: 6, g: 2, w: 1, p: 4}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 249908 + 3 + -11 - (-4 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 2)*(-s - 6*s + 2*s) in the form k + a*s and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38\/21 - -6\/7. Let -o - 2\/3*p**2 - 8\/3*p = 0. Calculate p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, k: 1, b: 2, z: 6, d: 2}. What is prob of sequence skz?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286198012 to the nearest integer?\nAnswer: 16917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:14 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 148257413 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7)\/v*v)\/v*v*v**(-20\/3)*v*v**(12\/7)*v*v*v**(1\/12) assuming v is positive.\nAnswer: v**(-181\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h + 357. Let v be q(59). What is the nearest to 0.2 in 1, -4, 10, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 4, 90, -69, 10, -1 in descending order.\nAnswer: 90, 10, 9, 4, -1, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Let y(k) = k**2 - 5*k + 4. Suppose -5*u + 3*u = -4. Let s(c) = -13*c + 0*c**u + 7*c + 2*c**2 + 5 - c**2. Calculate m*s(l) - 5*y(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5184\/(-7371) - 42\/(-245)*5. Let -n*o**2 + 40\/13*o - 200\/13 = 0. What is o?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061544 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -6*b. Suppose 2*y - 8 = -5*m + 3*y, -6 = -3*m + y. Are m and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**2 - 3*p - 8. Let n(o) = -5*o**2 - 3*o - 9. Let u(c) = 3*b(c) - 4*n(c). Let m be u(-5). What is the greatest common divisor of 376 and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r + 5. Let p(k) = -k**3 + 6*k**2 - k + 6. Is p(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3946282, -7892612, -11838942?\n\"Answer: -3946330*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1602 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 8550. Let q(u) = -334*u**2 + 1. What is t(q(x))?\nAnswer: -111556*x**4 + 668*x**2 + 8549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15294, -57889, -100484?\n\"Answer: -42595*b + 27301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Find the second derivative of 3*u**4 - u**4 + u**x + u - u**4 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u. Let v(y) = -2179*y - 49. What is v(n(w))?\nAnswer: 15253*w - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 8) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -97*k + 55*k. Suppose -q - r = -6, r - 4*r + 30 = 5*q. Suppose 0 = 5*z - 25, 3*v + 3*z - 3 = q*v. Solve -k*n + v = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**(3\/5)\/(o\/o**(-29)*o*o*o*o\/(o*o*o*o\/(o*o\/o**(-14)))) assuming o is positive.\nAnswer: o**(-1144\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2466126 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**5 + 5*r**3\/3 - 294. Factor h(d).\nAnswer: -5*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 3}. Give prob of picking 1 x and 1 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from iwoiiww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1007*k**2 - 477*k - 477. Let a(p) = -2*p**2 - p - 1. Give -1908*a(s) + 4*j(s).\nAnswer: -212*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 60. Let t(x) = -x**3 + 21*x**2 - 32*x + 8. What is the hundreds digit of t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6249 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/20 - 5*o**4\/12 + 7*o**3\/6 + 3*o**2\/2 - 7*o. Suppose -5*m + 119 = 5*w - 31, -33 = -m - 2*w. Let l = 21 - m. Give t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 8.1706?\nAnswer: 73.5354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 13*h**2 + 8202*h - 8200*h + h**2 + 4.\nAnswer: -12*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-9) + (-3)\/9. Let q be (-4 - 0)*b\/(-58). Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 11*s = -40, -10*r + 24*r = 18*r + 4*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1343 + 2351. Let f be n\/(-99) + (-2)\/(-11). Calculate the common denominator of -109\/24 and (-6)\/f - 103\/30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*n + y, n - 5*y = -n + 17. Which is bigger: n or 36\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/2 + c**4 + c**3\/2.\nAnswer: c**3*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136\/5 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/12 + z**3\/6 + 19*z**2\/2 - z. Calculate the remainder when j(0) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**0*a\/a**(-1\/4))\/((a*a**(-1))\/a)**(-43))\/((a\/(a\/((a\/((a\/(a\/(a**(1\/2)\/a))*a*a)\/a))\/a)))**(-1\/9)*(a**0\/a)\/((a**2\/a)\/a)) assuming a is positive.\nAnswer: a**(-1397\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51*-8*5\/(-120). Solve 8*o = s*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/242641612 and -16\/5?\nAnswer: 1213208060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*r + 377, 0 = -5*r + 2*m - m + 623. Let t = -123 + r. Solve t = -5*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -176*l + 526. Determine a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001105219 rounded to six dps?\nAnswer: 0.001105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**6\/120 - a**5\/15 - a**4\/3 + 2*a**3\/3 + 67*a**2\/2 + 84*a. Let k(d) be the first derivative of x(d). Calculate k(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395 - 85 = -62*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2103.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f + 36. Determine y(-9).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/2, -46, -1\/3, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 47088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 1506 = -457. Do 151 and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.7 - -4. Let t = 30.9475 - -0.0525. Let h = 31 - t. Which is the nearest to 2? (a) h (b) -2\/21 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2823011.\nAnswer: 193, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/117951076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 148562 and 1.29.\nAnswer: 191644.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 70*m**2 + 97*m**2 - 29*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -1\/10, -0.2 in increasing order.\nAnswer: -4\/7, -0.2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500342*b + 2184 = 500394*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*sqrt(104) + sqrt(104)))\/sqrt(8) + -5 + sqrt(26)\/sqrt(2) + -1)*-2.\nAnswer: -4*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -117102055 divided by 6\nAnswer: -117102055\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -172, -102, 3 in increasing order.\nAnswer: -172, -102, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 14. Suppose s + 3 = d, -4*s - d + 0 = -o. Find i, given that 0 - 1\/3*i**5 - i**3 - i**4 + 0*i - 1\/3*i**s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*h + 23, -5*h - 5 = -2*b - 46 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 0.3678, -0.3 in descending order.\nAnswer: 2, 0.3678, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 43, -172 in increasing order.\nAnswer: -172, 0.3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**5\/20 + t**4\/12 - t**3\/6 + t**2\/2 - t. Suppose -5*y = y - 12. Give f(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248 + -160. Suppose -x - 78 = -3*t + q, -4*q + 20 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/g**1)\/(g**(-1\/8)\/(g\/g**7)) assuming g is positive.\nAnswer: g**(-401\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 303 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22302576.07 + -20483691.570022. Let x = 1818887 - u. Let p = 2.5 - x. Round p to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.827 rounded to zero dps?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6121?\nAnswer: 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 3)*(4*v**2 - 2*v**2 - 3*v**2)*(3*v - 5*v + 0*v)*(-5*v**2 + 2*v**2 + 2*v**2).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5787 and 44\/1323.\nAnswer: 850689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2\/7*z**3 - 12\/7 + 12\/7*z**2 - 2\/7*z = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {d: 3, s: 4, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywliesw. What is prob of sequence wies?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1937 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:49 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5025596?\nAnswer: 2, 31, 40529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*f - 1462, 2*r + 0*f = -f + 973. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -473 - -472.9. Which is the nearest to o? (a) 0.1 (b) -5 (c) 0.05 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 4:18 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199.44046485 + -3.44057585. Let c = g - 196. What is c rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -3163*x**5\/20 - 14033*x**4\/12 - 5*x - 1159. What is the third derivative of z(g) wrt g?\nAnswer: -18978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3) + (-2530)\/66. Let d = s - -62. What is the remainder when 35 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*n + 105, 0 = -4*f + 643 - 623 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -6, -25\/41?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4, -5*t + 5*m + 815 = -0*t. Suppose -2*q - 2*w = -0*w - 66, w + t = 5*q. What is the greatest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7939100.871 rounded to the nearest one hundred?\nAnswer: -7939100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**2 - 8*l**2 + 2*l + 1 - 3*l. Suppose 3*d = 5*k, d + 5*k + 1 = 21. Suppose 14 - d = 3*g. Give n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-1)\/(5\/(-2)). Let i be 504\/735*42\/(-12)*40\/(-132). Suppose 2\/11*b**o + 8\/11 - i*b = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*m**3 + 30*m**2 + 1 wrt m?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84180483067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p**3 - 18 + 18)*(0 + 0 + 1) - 2*p + 2*p + p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-10))\/(9\/(-15)). Suppose 6*z - 11*z - 5 = 0. Is k less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -16. Let t = l + -5. Let s(z) = 2*z**3 - z. Let u be s(1). Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106391 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -129*b + 21. Let s be d(-4). Suppose -s = -6*t + 21. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68021*u + 68022*u - 198 = -5*s, 3*s - 126 = 3*u for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*h + 12. Suppose -3*b + 2*s + 88 = 0, 5*b - h*b - 5*s - 76 = 0. Suppose 3*p - b = -8. What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m**3 - 237*m**2 - 9*m + 655. Calculate r(-26).\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u, 3*u + 2*u = 3*h + 18. Let f = -1 - h. Suppose 3*w - 36 = f*w. Is -17 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72 + 1074d5?\nAnswer: 107567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -3*n**4\/4 + 37*n**3 - 540*n**2 + 972*n + 30. Factor x(u).\nAnswer: -3*(u - 18)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -751.79 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1444851 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((112\/8036)\/((-4)\/(-14)))\/(-1)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*r**4 - 9 - 9*r**3 + 27*r**4 + 9*r**3 wrt r.\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207396149998 minus 64?\nAnswer: 207396149934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3484 and 3328?\nAnswer: 222976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 79*t**2 + 17 - 7*t + 230*t**2 - 15. Let a be s(4). Suppose -3*q = -3*d + 7383, -q + 3*q - a = -2*d. What is d rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 o when four letters picked without replacement from {j: 7, o: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7297080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2)\/u))\/u**5*u*(u**(1\/2)*u)\/u*u\/(u*u*u\/(u\/u**(-4\/7))*u) assuming u is positive.\nAnswer: u**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/11 (c) -2\/379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(16*33\/(-1056))\/(21\/3).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (262 - 264 - (-1 + 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63909 divided by -6\nAnswer: 21303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 5*k + 28. Let w be j(8). Let z(f) = -f**2 + 20*f - 39. Let r be z(15). Calculate the greatest common factor of w and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4159470 and 2320.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 20*s - 15. Let c be r(19). Suppose -5*i = -c*i + 4, -123 = -o + 5*i. Suppose 7*w - o = 583. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15889450 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 30, 16, -34, -132?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose 4*w + 6*w - 107 = -57. Solve -w*o + x = -7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d + 2 + 11*d - 863*d**2 + 8*d + d**3 + 860*d**2 to the form x*d**3 + f*d**2 + h + v*d and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -2 + 4 + 2. Suppose 2*u + g - 4 = 0, -3*m + 1104 = 3*u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1621315*b**5 + 134680*b + 4?\nAnswer: 32426300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y = -2956 - 2656 + 1355. Suppose -13 = -4*d + 31. Calculate the greatest common factor of y and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-40)*2\/(-3)*-2. Solve 7 = -h*w - k, 2*w - 4*k + 9 = -3*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, 5\/28, 3\/2, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o = 47*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130295\/2 - 66403. Let q = 357 + 927. Let g = q + a. What is the common denominator of 69\/14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*-7*6\/(-224).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/(-44) - -38*64\/(-6688).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - (-21 - -6)) - -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddiddsidsd. Give prob of sequence id.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 - 46*x + 18. Calculate the least common multiple of 48 and m(9).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 10*g**2 + 0)*(33*g - 59*g - 32*g).\nAnswer: -580*g**3 + 116*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -19*a + 0 - 1\/10*a**5 + 0*a**3 + 5\/2*a**2 + 1\/60*a**6 + 1\/6*a**4. Let f(v) be the first derivative of b(v). Factor f(x).\nAnswer: 2*x*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - ((-30)\/(-4))\/((-1)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99687529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2212 = -89*k + 13. Solve 7*q = -k + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-30) + (-44)\/(-10). Suppose 3*t + r = 8*t. Is t at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*x**2 - 36 + 496*x**2 - 277*x**2 to i*x**2 + g + l*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0 - 6. Suppose -41*u + 3*u - 1558 = 0. Let k = r - u. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4734 and 1876242?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430\/(-86)*((-4)\/2)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from gkgqggggvpgvv.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - k + 19, 0 = 7*l - 5*l + k - 9. Suppose 2*a - 7*a = -q + 454, 4*a - 2328 = -l*q. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40566?\nAnswer: 2, 3, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 145*f + 3088. Calculate the remainder when y(24) is divided by 80.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:42 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (-1 + sqrt(11) + 3) - (sqrt(99) + -5)**2.\nAnswer: -126 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 + 1. Let i(o) = -7*o**2 + o - 2. Let p(u) = 5*i(u) + 6*l(u). What are the prime factors of p(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (71\/355)\/(19\/(-3135))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1487\/8 + -190. What is the common denominator of b and (7*(-143)\/(-728)*22)\/((-5)\/(-2))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**9*(m**(4\/3)\/m)\/m)\/(m**(-15)\/(m\/m**3)) assuming m is positive.\nAnswer: m**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (65\/(141440\/256))\/((-2)\/782)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288))**2 + -5.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 273*s**2 - 439*s - 2679. Let p be u(-6). Which is greater: p or 9781?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let c be a(-6). Let w = c + -6. Solve w = -3*g - g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2.62, 58, -5, 0.147, -0.4?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 60 + 11 - 29 + 2*r**2.\nAnswer: 2*r**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 3, s: 2, w: 1, i: 3, p: 1}. Give prob of picking 2 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/22668785 or 1?\nAnswer: 108\/22668785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33935522 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1 + 1987719*y - 1987720*y - 1. Let p(f) = -5*f + 6. Determine 6*h(w) - p(w).\nAnswer: -w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -5*t - 2, -2*p = -5*t - 9 - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 472*y = 471*y + 30, j + 2*y = -6 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 26. Let k(s) = -s**3 - 3*s**2 - 3*s - 2. Determine k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1 + 0*n + 11*n + 0*n + n. Let l be (20\/(-30))\/((-1)\/9). Suppose l*c - 3*c - 3 = 0. Determine o(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401.7 + 402. Is t greater than 41\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -20901*(14\/(-84))\/(4\/(-32)*-4).\nAnswer: 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s + 0*s**4 + 45 + 0*s**2 + 121\/7*s**7 + 19\/3*s**3 + 0*s**5 + 0*s**6. What is the third derivative of m(z) wrt z?\nAnswer: 14520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (-1 + (sqrt(208) - (1 + sqrt(208) + 3 - sqrt(208))))**2).\nAnswer: -1175 + 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 208 + 2*k + 300*k**3 - 209 to b*k**3 + d*k**2 + p*k + r and give b.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1823, 3616, 5409, 7202, 8995?\n\"Answer: 1793*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 2, v: 1, l: 1}. What is prob of picking 2 g and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + 24. Let r = u - 44. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.26814944 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i**2 - 1. Let r(h) be the first derivative of -1\/3*h**3 - 18*h - 14 - 11\/2*h**2. Let d be r(-9). Determine n(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**4 + t**3 - 15*t**4 + 0*t**3 + (1183*t**2 - 711*t**2 - 599*t**2)*(0*t**2 + 3*t**2 - 2*t**2).\nAnswer: -135*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:10 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 99\/(-6)*(-8)\/6. Is ((-77)\/i)\/((-2)\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 8) in base 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(176) + (sqrt(176) + 1 - sqrt(176)))*-3)**2.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -166964632\nAnswer: -5\/166964632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + y**2 - 4*y)*(4*y + 152*y**2 - 4*y - 45*y**2)*(3*y - 18*y + 4*y).\nAnswer: -1177*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c**3 - 9*c**2 - 9*c - 14. Let l(u) = -8*u**3 - 4*u**2 - 4*u - 7. What is 9*l(o) - 4*w(o)?\nAnswer: -4*o**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6b6 (base 16) to base 10\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b + 42. What is l(-8)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 7.9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-7)\/(-1232))\/(10\/(-40)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/6297870 and -53\/5668083.\nAnswer: 56680830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 1. Let b(p) = -p**2 + 8*p - 6. Let i be b(5). Suppose 4*y + i = 1. Let x be -9 + 5 - (1 + y). What is q(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = n, -3*u = 8*n - 4*n - 13. Suppose h + 32 = 4*j - 3*h, u*j - 2*h - 19 = 0. Solve -3*o - 3*s + 4*s = -6, -2*s - 9 = -j*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2) - 15\/6) + 4. Factor -81 - 27*t - 12*t + 21*t - t**l.\nAnswer: -(t + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -855.983 - -855. Let n = z - 0.017. Sort n, -4, 1.\nAnswer: -4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:13 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 216*p - 2 + 12*p - 4 to h*p + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614*w - 3*c + 30 = -612*w, c = 8. Solve 21*h - 16*h = w*b - 17, -2*b + 9 = -h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3 - 5. Let b be 157 - g*6\/4. What is the highest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/11405 and -53\/25091?\nAnswer: 125455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 18. Let o be y(7). Solve -4*k - 8 = -v, -3*k + o = -2*v - v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**5\/2 + 9*o**4\/2 + o**3.\nAnswer: o**3*(o + 1)*(7*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499299 is divided by 234.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37179*q - 1476 = 36953*q - 5318 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -1974.\nAnswer: 17\/987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1437861?\nAnswer: 1\/1437861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2898, -2867, -2808, -2715, -2582, -2403, -2172?\n\"Answer: g**3 + 8*g**2 - 2907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110100 - 0?\nAnswer: 100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.29205t to grams.\nAnswer: 79292050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 72.38955 millimeters?\nAnswer: 0.07238955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-87)\/(-12))\/(1\/4). Let f = 34 - a. Suppose -5*v + f*w - 2*w + 155 = 0, 3*v + 5*w - 127 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/(-5))\/(33\/660)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 5*w + 10, 15 = -2*o - 5*w + 10*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*d. Solve d*s - 23 = -v + 5*v, -3*v = -s + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 769, 4, 1156, -1 in decreasing order.\nAnswer: 1156, 769, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 16 - 31 = 3*d, f - 3*d - 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 - -1110?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.5 (b) 4 (c) -3343553\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51810493*q**2 - 36467281 with respect to q.\nAnswer: -103620986*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n. Let f(g) = -9*g**2 + 5*g - 2. Let v(u) = -2*b(u) - f(u). Let y be v(3). Calculate the common denominator of (-16)\/56 + (-47)\/y and -47\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/120 + 7*h**5\/60 + h**4\/6 - 4*h**3\/3 + h**2. Let i be f(-6). Solve 24 - 4 = i*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76118, 152881, 230294, 308357, 387070?\n\"Answer: 325*u**2 + 75788*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 6457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65, 68, 71, 74, 77?\n\"Answer: 3*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - l. Let d(k) = 2*k**3 - 3*k**2 - 5*k - 2. Let t be d(-2). Let b be -3 - 2*(t\/8 + 2). Determine p(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85091667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 4*m - 84. Suppose -10*k - 48 = -m*k. Let p = 12 + k. What is the remainder when 94 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312 + -1993\/6. What is the common denominator of -2 - (-1 + 83\/4) and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:31 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22656 and 4096.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:53 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k - 2. Solve 0 = -2*u + k*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25860 minus -0.3?\nAnswer: 25860.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2085 and 137505055?\nAnswer: 412515165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 142\/5*m**4 + 2592\/5*m**2 - 2\/5*m**5 + 0*m - 2448\/5*m**3 = 0. What is m?\nAnswer: -36, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zic when three letters picked without replacement from cctcccycztctcyctiztc?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1095 and 657.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d - d)*(2*d**2 + d**2 - d**2) - 13*d**2 + 2*d**4 - 9*d**2 - 4 + 23*d**2.\nAnswer: 4*d**4 + d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**4\/24 + 4*c**2. Let w be r(2). Suppose -9 = -3*j - 0*j. Solve j*u + w*u - 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 446.6437 kilometers?\nAnswer: 446643700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)*h)\/(h\/(h\/h**(-12\/7))) assuming h is positive.\nAnswer: h**(69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747140331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.04 (c) 2 (d) -0.5 (e) -18\/19 (f) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, 2\/7, -4, 11\/20?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 + 101\/2. Let s = q - 63. Let r(a) = -6*a - 50. Is r(s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 75*a**2 + 16029*a\/4 + 8165\/2.\nAnswer: (a - 230)*(a - 71)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 254*i - 1515. Let k be w(6). Solve -5 - 13 = -k*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v + v**2 + 8*v + 8*v.\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*h + 144 = -273*h. Suppose -40*n**3 + 23*n**3 + 57*n**2 + 20*n**3 + 735 + h*n + 321*n = 0. Calculate n.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37 (b) 3 (c) 2 (d) -0.5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 - 21*y**3 - 146*y**2 - 336*y = 0 for y.\nAnswer: -8, -7, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)*h)\/(((h\/((h**(-3\/7)*h)\/h))\/h)\/h*h))**12*((h**(-1)*h)**(10\/7))**(10\/7) assuming h is positive.\nAnswer: h**(-456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 18 - (-211 + 199)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*m**3 - 3)*(2*m - 3*m - m) - 421*m**2 - 7*m**2 + 335*m**2 + 64*m**4.\nAnswer: 58*m**4 - 93*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9465, 18918, 28373, 37830, 47289?\n\"Answer: k**2 + 9450*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 774*c**3 - 4593*c**2 + 11620*c + 76800.\nAnswer: -(c - 4)*(c + 5)**2*(c + 768)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = m - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 40. Let q be 24*(2 - 7\/2) - a. Let n = q - -36. Solve -r - 1 = -n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 + b - 2. Let z = 114 - 94. Suppose -z*y + 13*y - 21 = 0. Let i(w) = -w**2 - 1. Give y*i(a) + v(a).\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and 462330555.\nAnswer: 462330566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - 3*k**2)*(-77*k - 64*k + 301*k + (2*k + 4*k - 4*k)*(-1 + 3 - 1)).\nAnswer: -486*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 651706956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464283*l - 424826*l + 1519219*l.\nAnswer: 1558676*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Let q = 4 - l. Let r be -1 - (-1)\/(7\/5). What is the second biggest value in r, -2, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3 - 9*g**2 - 43*g + 49*g + 4*g**2 - 2*g**2. Let j(v) = -6*v**2 + 5*v - 3. Calculate -6*j(i) + 5*q(i).\nAnswer: i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - v**2 + v**2 - 4*v**2 - v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0154878 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (63348\/3)\/(12\/6)?\nAnswer: 2, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 610267.\nAnswer: -183080.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -65, -98, -131, -164, -197?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96560\/(-497) - -194)\/((-9)\/(-56)).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*m**4 + 3*m - 97*m**4 + 153*m**4 + (-3 + 0 + 1)*(-3*m**4 - m**4 + 0*m**4).\nAnswer: 146*m**4 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 32 = -13. Suppose -3*z + 0 = r - d, r - 9 = 3*z. Let t(b) = -b**3 + 10*b**2 - b + 3. Is t(r) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (8 - 11 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184646 and 19838?\nAnswer: 2400398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12313 - -133121141?\nAnswer: 133134004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + 280. Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, a: 2, h: 2, v: 1, n: 1}. What is prob of picking 1 v, 2 h, and 1 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:30 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6516 + 6511. Let m(u) = -u**3 - 8*u**2 - 8*u + 2. Give m(b).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2723*b = -2725*b - 4*v - 8, -5*b + 5*v - 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/8, -1, -17, 3\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssj when three letters picked without replacement from yesjphyjyyysj?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 3, -359, 2, 10 in increasing order.\nAnswer: -359, -8, 1, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -764, 10, -3\/2, -3, 1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 6956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*x = 32, -2*d + 3*x + 277 - 273 = 0. Put d, -9, 1, 4, -2 in increasing order.\nAnswer: -9, d, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:43 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 28*d**2 - d - 9. Let r be b(-14). Suppose -4*v - 55 = -9*v + 5*s, 0 = 4*v + s - 64. Solve 15 = f + 2*h, f + 3*h = v + r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 37. Sort 5, -2\/7, q in descending order.\nAnswer: 5, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 3. Let p be u(-6). Let s(h) = -h**3 - 11*h**2 + 44*h + 31. Let c be s(-14). Let y = p + c. Solve -i - i = -y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18064*i**2 - 30978*i\/5 - 412 = 0.\nAnswer: -515\/9032, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (-2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11 + 4 = 0, 0 = -2*r + 4*y + 10. Let d be 2*(16 - 7)\/(-9). Sort 1, 16, r, d.\nAnswer: d, r, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 237 + -262. Let y(d) = -d**3 - 3*d**2 - 5*d - 6. Let q be y(-5). Let c = q + b. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 129209, 258465, 387787, 517175, 646629?\n\"Answer: 33*m**2 + 129157*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 3*j**2 + 2. Let q be k(-3). Let h(v) = 4*v**q - 1 + v**3 - 5*v - 3 + v. Let a be 1\/((-2)\/(-5))*-2. Give h(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/20925 and -68\/330615.\nAnswer: 1653075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-41)\/615*27\/3?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284799 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 5*o - 4*o)*(0 - 3 + 1) + 0*o - 3*o + o + 7*o - 29*o - 14*o.\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 11*q + 3*q**2 + 7 - q**2. Let l(m) be the second derivative of m**4\/6 - 5*m**3\/6 + 3*m**2\/2 + 93*m + 1. Determine 3*h(u) - 7*l(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 397*n + 18 = -395*n, 2*g + n - 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m - 40*m = -31153 + 33199 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/((-33390)\/(-900))*(-7)\/125.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 8 = -2*r, 3*r - 291 + 293 = o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 2 (b) -1.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j*j*j*j**1*j*j)**(44\/3)\/(j**(4\/9)*(j\/(j*j\/(j\/(j*j**1))))\/j*(j**(-1)\/j)\/j**(3\/2)) assuming j is positive.\nAnswer: j**(373\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59 and -8*(5\/5 + -2)?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1014*g - 2353. What is the least common multiple of n(-3) and 364?\nAnswer: 19292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1507 or 1511?\nAnswer: 1507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from {o: 3, a: 9}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 h when four letters picked without replacement from {d: 3, h: 3, w: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 416852*p**2 - 3751587*p.\nAnswer: -p*(p + 9)*(p + 416843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/1737775 and -16\/25.\nAnswer: 1737775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 2\/11 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 11*z**2 + 6*z - 11. Let i be q(12). Let n = -251\/3 - i. Which is the smallest value? (a) 0 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -73 (c) 47 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31*(-2)\/(-4)*4. Suppose 2*a + 85 = 3*r, 3*r + a = -r + 128. What is the greatest common factor of r and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 1.7 (c) 159713\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 38 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/2*6570\/3066?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -18*b**3 + 9*b**2 + 65*b + 93. Give r(-2).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 6*n - 2. Let i be p(4). Suppose -16 = g - i. Calculate the remainder when g is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 - 339*b - 342 = 0.\nAnswer: -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10348925557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/20 and -13\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -154*f + 3710. Give h(20).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 1, z: 8, n: 4, j: 4}. What is prob of picking 4 j?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - 138. What is the third smallest value in 2\/3, 0.01, n, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226704?\nAnswer: 2, 3, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -65080807342354\nAnswer: -65080807342354.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a century in years?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 5*s**2 + 2*s - 1. Let v be r(-4). Solve 0 = 5*x + 5*n + 25, -4*n - 8 - v = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(57)\/sqrt(3) + -3.\nAnswer: -7 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60939 by -5.\nAnswer: 60939\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-8))\/((-4)\/16). Suppose -4*w - 62 = -5*j, 3*j - 6*j - b*w + 48 = 0. Suppose -7*n = -5*n - j. What is the greatest common divisor of 21 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y - 3*k + 1025, k = -y - 197. Let a = -168 - y. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6c15a (base 16) to base 9\nAnswer: 744254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/74 in 0, 12, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -242.9 - -241.56. Which is the fourth biggest value? (a) 0 (b) 7 (c) o (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6676 - -19?\nAnswer: -665d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8565 and 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*y - 7036 = 0, -74*r + 71*r + 4*y = -5287. What are the prime factors of r?\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 20*x**2 + 24*x - 45. What is the remainder when a(21) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -0.5 (c) 11 (d) 3 (e) 152.889\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 400, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-3)\/18)\/(36407\/10402).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-61)\/(-3) + (-8)\/(-12). Let m = 5 - g. Let k be (m\/12 + 1)*-12. Solve k - 2 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -51. Suppose 2*i + 6*n - n = 19, 3*i = k*n. Solve i*l + 0*l = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 16 - 1, -4*y + 13*g = -0*y - 722 + 701 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*q = 83, q + 53 = -22*v + 24*v. Suppose -5*a = -2*g + 10, -3*g - 5*a - 6 = -2*a. Solve 2*z - 4*d + 6 = 2, -3*z - 5*d + v = g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/8 - 751*r**2\/8.\nAnswer: r**2*(r - 751)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -33. Suppose 2*c + 3*u - 49 - a = 0, 5*c - 220 = 5*u. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1064)\/494 - 8\/(-52). What is the nearest to 0.2 in l, -2\/3, 3, 1.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -1. Let t = 3.5 + -3.1. Sort t, r, -3 in decreasing order.\nAnswer: t, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24628.\nAnswer: 2, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100 - -2000210?\nAnswer: 1211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1544450 (base 13) to base 10.\nAnswer: -6807047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.095 (b) 23 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4*a + 12 - 40, 2*f = -a - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2, 0.5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/10*485\/194. Solve -6*u - b = -0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 43839878.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 276233 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -4 (c) 104 (d) 4\/5 (e) 16 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b - 27*b + 2*b**2 + b**2 + 15*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 18. Let a be 2*2 - z\/(-5). Solve -2 = -a*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 564 and 17202?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**5 - 101386*i**3 + 527187*i**2 wrt i.\nAnswer: -300*i**2 - 608316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 5 - (3 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72*f + 210.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.44 - -150.56. Let m = q + -269. Let x = m - -117.000061. Round x to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + -1.56. Let i = -1 - k. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 134217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5321 (base 14) to base 11.\nAnswer: a854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 9 - 173 = 242 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 + 19*w**3\/6 - 2*w**2. Let k(d) = 14*d + 45. Let z be k(-3). Suppose -z*r + 5*y = 38 - 28, 0 = -y + 2. Give q(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6191498 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.871 - -0.871. Which is the second biggest value? (a) h (b) 6 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccttcpcpptptpp. What is prob of picking 3 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4\/7 (b) -0.2 (c) 0.1 (d) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/(-5) - (-3)\/15. Suppose 3*v + 3 = 5*f, -v = -0*f - 3*f + 1. Suppose f = z*r - r. Solve r = -5*i + 4*d - 3 + 1, d = -2*i + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 16*r**2 - 36*r + 4. Give f(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334148082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxn when three letters picked without replacement from xxnxnxxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*f - 621*f - 3737*f + 4*f.\nAnswer: -4949*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x. Let n(z) = z + 1. Calculate n(v(u)).\nAnswer: 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqquzqzzzzqqqzquqq. Give prob of sequence uzq.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/116? (a) 4\/7 (b) -32.6 (c) -127\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*a**3 - a**2 - 115*a - 12248?\nAnswer: -195*a**2 - 2*a - 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -67020 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83796 (base 16) in base 3?\nAnswer: 1000100201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 12232, 2\/23 in increasing order.\nAnswer: 2\/23, 1\/2, 12232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.089 times 0.3?\nAnswer: -1.2267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 4*s + 2 + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -6*i + 32. Calculate the lowest common multiple of 110 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v + 32*v - 14*v + 4*v + 4*v + 48 to the form a*v + g and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117269290 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = -4. Suppose u + 24 = 5*o, -y*o - o + 23 = 3*u. Suppose 0 = -11*g - 11*g + 132. Calculate the least common multiple of o and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20265067?\nAnswer: 20265067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115057906.\nAnswer: 2, 29, 59, 33623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*f - 2*f**2 + 308*f - 156*f)*(2*f**3 - 2*f**3 - f**3) + (-f**3 + 2*f**2 - 2*f**2)*(3*f**2 + f**2 - 3*f**2) + (-2 + 2 - f)*(-f**4 - 5*f**4 + 3*f**4).\nAnswer: 4*f**5 + 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*w - 232 - 623, 3*w - 4*x - 852 = 0. Let i = -10 + 42. Calculate the greatest common divisor of w and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 757 - 759. Suppose 83 = 5*f + 8. Sort -5, 1, f, g in increasing order.\nAnswer: -5, g, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - o = -0*l - 7, 4*o - 8 = -2*l. Suppose 0 = 5*j + 3*h + 2*h - l, -j + 2 = -4*h. Solve -3*k + 2*k - 12 = -4*v, -j*v - 12 = -5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*k = 846, -4*j - 2*k = -4*k + 3344. Let i = j - -1652. What is the units digit of i\/14 + 18\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsk when three letters picked without replacement from szppdfk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5 + (-3 + 2 + 3)*(-1 - 2 + 1))*(a - a - 3*a) - 3*a + a + 3*a + (-1 + 5 - 5)*(-2*a + 2*a - a).\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32614 divided by 709\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 69, 114, 163, 216, 273, 334?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2804139 and 1755?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 22 - 3\/4*x**4 + x**3 - 36*x + 12*x**2. Factor h(q).\nAnswer: -3*(q - 2)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11237372 + 1?\nAnswer: 11237373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -208\/7, -0.4, 1.5, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 - 253389*f**2\/2.\nAnswer: -f**2*(f + 253389)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/10)*m*m*m**21)\/((m*m**(-22))\/m**7) assuming m is positive.\nAnswer: m**(519\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7403196ml to litres.\nAnswer: 0.0007403196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1121211012?\nAnswer: 1121211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/(-2))\/(-23)*8\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**3 + n**2 - n. Let b be (-2 - -10) + -4 + -3. Let w be k(b). Suppose -w*j + 36 = -4. Solve -5*z - j = -z, p - 4*z - 21 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117026107*z**5 - 388287399*z wrt z?\nAnswer: -2340522140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277cc5 (base 15) to base 13.\nAnswer: -51685a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 135807\/12 + ((-10879)\/(-92))\/43. Which is greater: 11322 or l?\nAnswer: 11322","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286320, 572642, 858964?\nAnswer: 1145286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 3\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -322, -1401, -3630, -7393, -13074?\nAnswer: -21057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5620 + 0.03\nAnswer: -5619.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1127 divided by -49.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18746035 divided by 9?\nAnswer: -18746035\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92139, 184319, 276497, 368673, 460847?\nAnswer: 553019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 70 = -2*x. Let a(y) = 3*y**3 - 5*y**2 - 3*y - 10. Let r be a(3). Suppose r = g + x. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**28)\/b*b*b**(-2\/3) assuming b is positive.\nAnswer: b**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 409955 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-5 + 62\/8 + -4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 26519?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1325*y**5 + 22*y**4 - 4209*y - 9 wrt y.\nAnswer: 26500*y**3 + 264*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5178 - 5174. Let q = -2 + 0. Let h = -1 - q. Which is the second biggest value? (a) 2 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7413.7 weeks to seconds.\nAnswer: 4483805760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - d + 56, -45 = 4*o - 2*d + d. Let x = o - -17. List the prime factors of ((-12)\/(-5))\/(x\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795 and 2913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/12 - 11*b**3\/3 - 5*b**2\/2 - 6*b. Is f(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r. Let d be (-78)\/(-21) + 2\/7. Suppose -11 - 17 = -d*u. Calculate the lowest common multiple of u and j(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apn when three letters picked without replacement from knxxxpxnxxxxxpxaxn?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 a when four letters picked without replacement from {w: 1, a: 5, x: 1, n: 3, z: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*r + 261*y + 272*y - 19 = 531*y, -4*y + 20 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*m - 4*q - 8, -2*q = 0. Let s = -511 + 5609\/11. Let y = s + 95\/77. Which is the third biggest value? (a) y (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 21334936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 916772 - -0.08.\nAnswer: 916772.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 505*q - 2025. Let x be w(4). Sort -6, x, -3, -2, -8 in ascending order.\nAnswer: -8, -6, x, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 2000?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2\/11 (c) -0.3 (d) -340\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 3:02 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144151 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 - 217\/(-252).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687088151.\nAnswer: 97, 7083383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/10 - c**4\/6 - 5*c**3\/6 - 109*c. Let j(x) = -3*x**3 - 3*x**2 - 6*x. What is -4*j(n) + 5*r(n)?\nAnswer: 2*n**3 + 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t**2 + 4. Let z(a) = -a**2 + a + 2. Let d(o) = -7*o**2 + 2 + o**3 + 2*o + 2*o + 2*o. Let w be d(6). Let q be z(w). What is r(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -5. Let s(l) = l**2 - 7*l + 7. Is s(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**4 - 521931*p**3 + 10075*p - 64.\nAnswer: -24*p**2 - 3131586*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 2144 = -494. What is the greatest common divisor of 775 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5819*j + 10 = 5824*j, -63 = -5*x - 14*j for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.098 greater than or equal to 4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-46 - 1))\/((-70)\/4130) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 825.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094425 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*w + 78, -a = -2*w + 16 + 29. What is the least common multiple of 5\/((-10)\/(-1)) - 17\/(-2) and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 92623, 92600, 92577?\n\"Answer: -23*y + 92646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-12) + 3\/9. Suppose j*n + 4*r + 10 = -0*r, 0 = 3*n - 3*r - 18. What are the prime factors of 26\/n*(0 + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514534, 514532, 514530, 514528?\nAnswer: 514526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1337*a + 2299*a + 5371*a in the form t*a + q and give t.\nAnswer: 6333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w - 8*w + 25*w - 1039*w**3.\nAnswer: -1039*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(-6) + 445\/(-534)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 43 = -3*h + 10*s, 2*h = -3*s + 40. Suppose 0 = -q + x + h, x + 3 = 4*x. What is the remainder when 30 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**7\/420 - j**6\/360 + j**5\/60 + j**4\/24 - j**3\/3 + 7*j. Let n(q) be the second derivative of o(q). Factor n(d).\nAnswer: -(d - 1)*(d + 1)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4*(1\/2 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.897856 take away -5?\nAnswer: 6.897856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4839*d**3 + 4845*d**3 + 2*d - 2*d.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*y + 15 = -g, -y - 9 = 4*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, 2\/5, 0.03, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 82. Let q be 2*(a\/10 + 0). Let j be (-2*3\/q)\/((-6)\/30). Solve -3*f - 4*x = 4, -3*x - 6 = 5*f - j*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 530, 21 in increasing order.\nAnswer: 21, 24, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 352 - 2696 = 0. Is -255 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from rrogcgvc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25d + -163740?\nAnswer: -16399d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 22*k**2 + 90*k - 7. Calculate w(-5).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -4 (c) 0.4 (d) 69546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1654, -1605, -1556, -1507, -1458?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4902 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16703349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 6464205.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 1, -44.4, -1, -996 in ascending order.\nAnswer: -996, -44.4, -1, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 853*f - 164648. Calculate n(193).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(3 + -2) - -6. Let d(f) = -744*f + 59. Let c be d(-12). Suppose 0*o + 9003 = 3*o - u*h, -3*o + c = 5*h. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2135651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + y)*(6 - 7 + 18) + 2 - 2 + 2*y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 33\/9)*56\/((-2016)\/90). Factor 25\/3 - v*o + 5\/6*o**2.\nAnswer: 5*(o - 10)*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84376\/2388 - (-9)\/1)\/(14\/6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**3 - 16*o**2 - o + 7. Let v(h) = -h**3 + h**2. Let w(s) = -11*v(s) - x(s). Give w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -62*k**2 - 2*k + 2. Suppose 5*x + 7 = 2*u, -27*x - 5*u = -26*x - 31. Determine i(x).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/3*(-30)\/12. Put 1, k, 2 in descending order.\nAnswer: k, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 16*y - 29. What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 189171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 5*j**2 - j + 11. Let k be c(3). Suppose -d + k = -18. Solve 3*q + d = 26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(4\/7)\/d**2*(d**7\/d)\/((d\/(d**(2\/47)*d))\/d) assuming d is positive.\nAnswer: d**(1847\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - b**3 + b + b**3 + 2*b**3 - b**2 to the form t*b**3 + g*b + l*b**2 + x and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04669048 rounded to 5 decimal places?\nAnswer: -0.04669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 45*z + 4. Suppose 4*j + 3 = w, -2*j + 18 = 2*w + 2*j. Is n(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1186 and -0.5.\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from fbgbbbgciftfb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 25.06 (c) 2 (d) -0.048 (e) -2 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (89\/(-2))\/(3\/(-6)). Suppose -7*q - 128 = 4*d - 3*q, 5*d - 2*q = -153. Let x = t + d. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(0 - (-3)\/(-15)). Let g = l - -8. Solve -g*z + 5 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 1 - 4)*(1 + 3 - 3) - 407 - 900 - 694)*(-2 + 1 + 2)*(0*w**4 + 2*w**4 + 0*w**4) as k*w**3 + u*w + d + m*w**2 + l*w**4 and give l.\nAnswer: -4006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5949*y**2 + 36*y - 65. List the prime factors of k(2).\nAnswer: 13, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*y - 55*y - 179*y + 216*y.\nAnswer: -187*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8736128?\nAnswer: 2, 131, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -10. What is the units digit of (u\/7)\/((-1)\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*m - 6*m - 4789*m**2 + 2 - 17*m + 8*m in the form z + w*m + l*m**2 and give l.\nAnswer: -4789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0308074 * 0.1\nAnswer: -0.00308074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 82 - 52. Let x(n) = 253*n**2 - 18*n + 34. Is x(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -12. Let w(x) = -15*x**3 - x**2 - 5*x + 9. Let i(f) = 13*f**3 + 5*f - 8. Let u(t) = -7*i(t) - 6*w(t). Calculate u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372788.9200575 + -372736.62. Let d = i + -52.3. What is d rounded to 6 decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-2) - 1 - 2. Let q = 149 - 145. Solve 0 = -4*n - r*y + 10, 3*n + n = q*y - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*b*z**4 - 209*b*z**2 + 100*b - 474*z**2 - 2040209 with respect to z.\nAnswer: -568*b*z**3 - 418*b*z - 948*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 133, -0.2, -2\/9, -6\/7, 1\/3, 0, 12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from mdimiidddddmgdddrb?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1321 - -0.6509. Round n to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 1. Let q be o(-1). Let c(g) = -3*g - 6. Calculate c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2) - ((-28)\/(-4) - 11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 827 divide 1691273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27790837363 + -27790838861.0001021. Let q = 1498 + u. What is q rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 + -6 + 1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 29*p + 1. Let i be r(-1). Let t be 1\/(-1) - i\/4. Suppose -2*y - 3*o + 73 = 0, 0 = -5*o - 1 + t. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 6, -22*k + 20*k = -y + 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 10*o**2 - 75*o + 62. Calculate l(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*f - 2\/9*f**2 - 40\/9.\nAnswer: -2*(f - 10)*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/42))**(-2\/73)*(p*(((((p\/(p*p\/(p**(4\/19)\/p)))\/p)\/p)\/p*p)\/p)\/p)\/(p\/(p*((p\/p**(-22))\/p)\/p)))**(-2\/61) assuming p is positive.\nAnswer: p**(-15454\/29127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 561\/(-5) + 1\/5. Let g = -398 - l. Let b = -162 - g. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/4 - 293*z**3\/2 + 589*z**2 - 590*z.\nAnswer: -z*(z - 2)**2*(z + 590)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5849b82 - 2?\nAnswer: -5849b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 3*m + 3. Let o(z) = 4*z**2 + 11*z - 11. Suppose 241 = -13*n - 1215. Let r = n + 90. Give r*i(p) - 6*o(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001229728085 to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njusjn. What is prob of sequence un?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/4 - 19*o**3\/4 - 9*o**2\/2 = 0.\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49549628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.4 (c) 7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-462)*(-6 + 3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -391\/3064 + 1\/383. Sort -5, -10, m, -2\/3.\nAnswer: -10, -5, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.74 + -0.74. Let h = 37 + -7. Let g = -31 + h. Which is the closest to g? (a) d (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.5 (b) 4 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*w - 59*w + 43*w)*(-27 + 154 + 61).\nAnswer: -17296*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 + 15*l**4 + 40*l**3 - 60*l**2 - 80*l = 0. Calculate l.\nAnswer: -2, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*o - 9*o - 202, 0 = -4*s + 4*o + 748. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*g + 10101 = -56*g - 58*g + 189*g for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223\/5 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(153) - -2*sqrt(153) - sqrt(153))**2*-3*2 + (-1*-3*sqrt(68))\/(sqrt(484) + -2*sqrt(484)).\nAnswer: -3*sqrt(17)\/11 + 11016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 80\/13 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 727954 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62375325 and 55275.\nAnswer: 5025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 430\/(-50) + 79779\/11165\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 1) + (-238)\/14 + 17. Sort h, -2, 3, -7, 2 in descending order.\nAnswer: 3, 2, -2, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544291*b - 310 = 544301*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3773332, 3773333, 3773334, 3773335?\nAnswer: 3773336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 2*l**2 - 17. Let y be r(4). Let i be 2 + (35\/y - 4). Let q = 13 - 13. Which is the nearest to i? (a) q (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from bbbbxibbblbila.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32930504 - -318.46.\nAnswer: -32930185.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 + -113202332?\nAnswer: -113202123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -4 - 0) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9462 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511814.\nAnswer: 2, 255907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 102. Suppose 9*r - 39 - g = 0. Solve -l + 2*l = -r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224352701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -11. Let b be x*(4 + 1\/(-1)). Differentiate 0*v**b + 5*v**3 + v**3 + 0*v**3 + 4 wrt v.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11944?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3. Let b(l) = -l + 9. Let g be b(7). Let u be d(g). Let j(y) = -y**2 - y + 75. Let w be j(-9). Calculate the greatest common factor of u and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -207 - 61*s**5 + 207 + 0*s**2 + s**5 + 0*s**2 + (0*s**4 + 2*s**5 + 0*s**4)*(3 + 0 - 5) + 24*s**5 - s**5 + 56*s**5.\nAnswer: 15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = 5*m + 12, -4 = 2*m. Calculate the least common multiple of 569 and j.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/444 and 43\/5559398.\nAnswer: 33356388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/3 - (-8)\/12. Suppose 3*s + 5 = g - 3, 0 = -3*s - 3*g - x. List the prime factors of 6 + (-1 - s)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 1. Let y(p) = p - 16. Let g be y(15). Let d = 8955 - 8951. Let v(i) = 2*i - 8. Give d*l(s) + g*v(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 19 - 1)*(4 - 2*b - 4) as q*b + r and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 = -668*t - 12929 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 129589597*h**2*i + 2*h**2 + 3*h*i + 13*h + 31344*i wrt h?\nAnswer: 259179194*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k + 30. Is 21 a factor of f(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 10. Let n(b) = 2*b**2 + 8*b**2 - 8*b**2 - 16*b. Let s be n(7). Calculate the least common multiple of 22 and g(s).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 1537*n**2 + 6136*n - 6132.\nAnswer: (n - 1533)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1648856 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Suppose -2*b + t*b - 4*o = -6, 15 = 3*o. Does 19 divide (-1 - -2)\/(b\/133)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36.83, 0.9, 1\/8, 1?\nAnswer: -36.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -9 + (2 - -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*5*(-22)\/(-66)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 526952729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -487, -962, -1435, -1906?\n\"Answer: d**2 - 478*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -13*c + 2. Calculate the remainder when k(-4) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j\/(j\/j**2)*j)\/j)\/j)\/j*j)\/j*j**1)**(5\/4) assuming j is positive.\nAnswer: j**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5707001\/119034 - 1\/6613. Let o = -496\/9 - j. What is the common denominator of (202\/8)\/(-16 + 17) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2658109 and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpp when three letters picked without replacement from pcszsczpzzppppc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -66068481 divided by -591\nAnswer: 111791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**(-3))*p)*p*(p*p*(p**(-7\/6)*p*p)\/p)\/p)\/(p**14\/((p\/(p\/((p\/(p\/p**(-6)))\/p)*p*p))\/p)))**(4\/3) assuming p is positive.\nAnswer: p**(-230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -610, -2192, -4828, -8518, -13262, -19060?\n\"Answer: -527*r**2 - r - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-17992)\/(-10380))\/((-2)\/10) - (0 - 17). Determine p so that -i*p + 8 + 1\/3*p**2 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:12 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + sqrt(76)*1)*3 + (sqrt(76) - (-2*sqrt(76) + sqrt(76)))*-2 + sqrt(76))*1)\/(1*(sqrt(4) + sqrt(20)\/sqrt(5) - sqrt(4)) + sqrt(16)*2).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(((-84)\/(-8))\/7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 173*l + 175. Determine x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 186 = -150. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i + 16. Let w(f) = f + 8. Let q be w(i). Factor 2*p + 16*p**3 + 6*p**2 + 6*p**3 - q*p**3 - 18*p**2.\nAnswer: 2*p*(3*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000001110 (base 2) to base 10\nAnswer: -2062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3793.\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.27 and -57.\nAnswer: -57.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150929?\nAnswer: 150929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472327 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -78 - 523 + 49. Calculate the greatest common divisor of 2648 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 2. Let n be (0 + (-3)\/9)*0. Suppose 2*y - 4*y = n. Suppose y = -2*w - 5*l + 4, -w - 3*l = -5*l - 2. Determine o(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 6*h + 5. Let f be q(5). Let n be 3*((-56)\/(-12) + -3). Suppose n*m - 3 = 6*m. Put m, f, 3 in ascending order.\nAnswer: m, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2505335.7.\nAnswer: 501067.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 238132051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*o - v + 51, 3*o + 0*o = 100*v - 46*v - 50*v - 81 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3502 = 104*f + 102*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l, -k - l = -4*l - 1070. Suppose 5*n - 2*q = k, -4*q - 642 = n - 4*n. Factor 7*y**2 + 17*y**2 + 36*y + 230 - n + 4*y**3.\nAnswer: 4*(y + 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 34*n**2 - 17*n**2 + 13 + 41*n**3 - n.\nAnswer: 41*n**3 - 58*n**2 - n + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 58, 214, 516, 1012?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 57. Let t be a(0). Let x be ((-19)\/t)\/((-1)\/3). Let g be x*-1*45\/60. What is the nearest to 3 in 0.1, -2\/3, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -605 - -612. What is the biggest value in x, -4, -2\/7, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**5\/5 + 9*u**4\/4 - 7*u**3 + 11*u**2\/2 + 60. Determine y, given that c(y) = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(4 + ((-6*sqrt(108) - sqrt(108)) + -2 + -2)**2) + 5.\nAnswer: -21242 - 1344*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 126*h**4 - 3*h**3 - 498*h**2 - 8*h + 16. Let q(u) = u**4 - u**2 + 2*u - 4. Let p(o) = -k(o) - 4*q(o). What is the third derivative of p(d) wrt d?\nAnswer: -3120*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284.96 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 352 = 593. What is the highest common divisor of 21 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 87*g - 957. Calculate y(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(((-39)\/(-2))\/((-44)\/22)))\/(2\/(-6))?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 129 and 1394.\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1822635 and 4696?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = -5*k, -4*k - 4 = 4. Let s(u) be the first derivative of 1\/4*u**4 + 0*u**2 - w - 3*u**3 + 5*u. What is s(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from txzitzttr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -133*n**2 + 5648*n + 2690427. Let g(y) = 47*y**2 - 1882*y - 896809. Let o(h) = -6*b(h) - 17*g(h). Find q such that o(q) = 0.\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 61*u - 38. Let l be n(30). Does 42 divide 1\/(1\/2) + (l - -302)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -40*a**2 - 19*a + 255. Let p be k(35). Round p to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 4*t**2 - 7*t + 24. Give y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -5, 0, 11, 28, 51?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 21*x. Is -9\/16 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 858 divide 1468896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 15 = -24. Let s(q) = b - 9 + q. Let d(o) = -2*o**2 + 4*o + 1. Give d(j) - 4*s(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - f - 15, -4*o - 3*f - 27 = -o. Let k be ((-5)\/(-15))\/(1\/(-15)). Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**3 - 710 + 276 + 206 + 224.\nAnswer: 20*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 2:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 386, 585, 788?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/52 + 13\/4. Let s(v) = p*v + 4*v - 10*v - 5*v. Let y(i) = 0*i**2 + i**2 + 0*i**2. Calculate y(s(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8096891 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((6\/(-3))\/(-2)). Suppose -j*l - 8 + 8 = 0. Suppose -5*w + 4*u + 151 = l, -8*u = -3*w - 6*u + 91. What is the remainder when 117 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 17373628.\nAnswer: -17373628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.6. Suppose -2*d - 5*h + 29 = 0, -4*d - 33 = 98*h - 101*h. Which is the closest to -0.03? (a) z (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7447 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24194 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12211, 2, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343 (base 5) in base 15?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227899*q + 227880*q = 455800*q - 2142 for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204324 is divided by 361.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9050.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-108)\/(-18))*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2512 by 8039.\nAnswer: -2512\/8039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/(-154) - (-3)\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/(14 + (11 - 23)). Is i < -725\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17114 is divided by 484.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from xxuffxsxfjxq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + b. Let l(u) = -u - 2. Let y be l(-3). Let z be q(y). Suppose 2*x - z = 4. Solve 0 = f + 3*i + 11, 7 = -5*f - x*i + 4*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-78))\/(-1*(-2)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 92*j**2 + 732164*j + 732252.\nAnswer: -4*(j - 417)*(j + 1)*(j + 439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 + (65 - 1) - (1 - 22)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 796796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*v - 15 = 0, -5*v + 0*v + 9 = 3*m. What is the first derivative of -23*j**m + 19*j**3 - 9 - 3*j**2 + 3*j**2 wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/8 + 3*z**3 - 71*z**2. What is the remainder when (15\/25)\/((-3)\/(-165)) is divided by a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 - 14*u. Let d(a) = a. Suppose 0 = 101*g + 70*g + 66*g + 237. Determine g*v(q) - 3*d(q).\nAnswer: -5*q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1018*s - 2022*s + 1253*s - 5664*s - 9042*s to q*s + t and give q.\nAnswer: -16493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -19. Let c be (-2 - (-14)\/4) + 24\/48. Let o(k) = k - 1. Let b(i) = 7*i - 5. Let m(d) = c*b(d) + q*o(d). Let w(n) = -7*n**2. Determine m(w(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-41))\/q**(3\/2) assuming q is positive.\nAnswer: q**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1887 - -5659\/3. Is 7965 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 16 + 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-10) + 2 - 11772\/(-15). Let g be (2 - 3)\/((-1)\/h). Suppose 3*k = 2*k - s + g, k - 5*s = 797. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**2 + 14*x + 9*x - 23*x.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h - 3. Let i(k) = -7*k - 3. Let o(m) = -4*f(m) + 5*i(m). Find the common denominator of o(5) and ((-8106)\/(-72))\/(-7) - (-2)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 6*y**2 - 2*y + 6. Calculate n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Let o(c) = c**2 - c + 6. Let x be o(0). Suppose -s - x = -k*s. Solve 0 = -0*y - 4*y + 2*p - s, 3*p = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89142908 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -463 from 7.3.\nAnswer: 470.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*p + 74*p + 6*p - 3 - 4*p**2 to y + f*p**2 + c*p and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 + 1 = 0. Factor -7*y + 6*y**4 + 19 + 2*y**5 + 2*y**z + 3*y - 6*y**2 - 19.\nAnswer: 2*y*(y - 1)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -2c36?\nAnswer: -2c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -39762 divided by -13254\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*9.51.\nAnswer: 1.2363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -266, -2\/3, 0.1 in ascending order.\nAnswer: -266, -2\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 11.7. Let u = -9\/473 - -4275\/946. Sort c, 1, u.\nAnswer: c, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/7 - 249182*b\/7 + 5979216\/7 = 0 for b.\nAnswer: 24, 124567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-8)\/(-4)*3\/(-48). Let z = 3 + -10. Let y = z + 7.1. What is the closest to y in j, -0.2, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -43 + -42 + 55 + -19 + 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112731 + 20391 = 76*c - 3154*c for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 1\/2*x**2 + 0*x - 17 - 4\/3*x**3. Find the second derivative of a(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252 - 39. What are the prime factors of f?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 45 = -0*z. Let h = z + 25. Suppose 7*f = 4*f - 2*i + 332, 4*i = -f + 114. Calculate the greatest common divisor of h and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*t*y**3 - 4*t*y**2*z + t*y*z**3 - t*y*z**2 - 84*y**4*z + y**3*z**3 - y*z**2 - 67*z**3 wrt y.\nAnswer: 300*t - 2016*y*z + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 90*s = -17*x + 85*s - 47, 5*x - 5*s = 135 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (14\/(-6))\/7*5. Sort -5, -10, 4, k in ascending order.\nAnswer: -10, -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*y + 194*y + 72*y - 73*y in the form r*y + l and give r.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 + 0*w**4 + 3*w**4 + (w - w + 2*w)*(0*w + 0*w - 2*w**3).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**3 + 3*w**2 + 9*w + 1. Calculate d(-3).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Suppose -h*y - 14 = 3*a, y + 14 = 4*a + a. Let t(r) = -r**2 + 3. Let m be t(0). Solve -a*z = m*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -27. Let s = 0 - t. Solve 12 = 5*w + 4*f, 0 = 5*w + 2*f + 3*f - s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1525*s**3 - 178*s**2 + 5*s - 19. Let p(d) = 1523*d**3 + 179*d**2 - 4*d + 16. Let f(h) = 5*p(h) + 4*w(h). Find the third derivative of f(x) wrt x.\nAnswer: 9090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4 - 16. Suppose 0 = -0*h - 2*h - w + 1937, 0 = n*w + 20. Suppose -x = -251 + h. What is x rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-1\/3)*z)))\/z*z**(7\/8)*z**(1\/75)\/(z*((z\/(z**(-2\/63)*z*z))\/z)\/z) assuming z is positive.\nAnswer: z**(31793\/12600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 332*n + 2676. What is z(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0) + (-1 - -4). Let f = -6 + 6. Let z(d) = d**3 + 3*d**2 - 3*d - 1. Let h be z(-4). Sort w, h, f.\nAnswer: h, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 + (8 - 2) - 6) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -176 - -180. Put a, 5, -2, -4 in ascending order.\nAnswer: -4, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**3\/2 - 23*m**2 - 4*m - 3. Calculate the remainder when q(-30) is divided by 1 + (-2)\/(-2)*15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -139*g**4 + 2*g**3 - 118*g**2. Let r(c) = c**4 + c**3 - 2*c**2. Let y(d) = 3*m(d) - 6*r(d). What is the third derivative of y(f) wrt f?\nAnswer: -10152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86623\/4 or 21656?\nAnswer: 86623\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (9 + -15 + 19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 54. Let t(w) = 60*w - 6. Let u be t(j). Let f = 185 + u. List the prime factors of f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, -5, 5, -10.3, -684?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3940 is divided by 177?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = p - 5*s, -p + 7 = -5*p + 5*s. Let w(y) = -5 - p*y**2 - 12*y**3 + 5 + y**2. Calculate w(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10846995*o - 21693981. Calculate t(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-3))\/((-5 - -7)\/(-858)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2612475417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-105)*177 + 144\/(-18)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (625\/15)\/((-2)\/1968). Round f to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (14 + -59)) + -21 - 7\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 1\/60*x**5 + 0 + 5\/6*x**3 - 3*x**2 + 0*x - 1\/4*x**4. Let h be c(6). Solve -15 = h*y - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11226772 divided by -1?\nAnswer: -11226772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4622 and -95\/2.\nAnswer: 4622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 5, z: 1, o: 5, j: 4}. What is prob of picking 1 j and 1 q?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 61909*y.\nAnswer: y*(y - 61909)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 2*u**4\/3 + 24*u**2. Let r(c) = -2*c**2. Calculate r(o(k)).\nAnswer: -512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*n + 66 = -101*n. Do n and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m + 11. Let f(t) = -13*t + 23. Let l(n) = 6*f(n) - 11*h(n). Differentiate l(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = -0*l - 5*f, 2*l = 3*f + 3. Let v = 0 + 0. Let q be l - ((-1 - v) + -1). Solve q*n = -10, 2*b - 3*b + 5*n + 26 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = 21. Suppose -g = -5*i - 4*l, 0*i - 4 = -i - l. Suppose i*z - 44 = -14. Solve -z - 13 = -4*o - t, -5*o + 5 = -5*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1434\/11 or 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44114 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34961, -69926, -104901, -139892, -174905, -209946, -245021?\n\"Answer: -n**3 + n**2 - 34961*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-3 - -3)) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 361321031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 6:03 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*4\/(-6). Let b = 20.7 - 15.7. Is b less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*y + 4*n - 100, -5*y + n = -101. What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 228, 483, 736, 987?\n\"Answer: -h**2 + 258*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2140.578ml to litres.\nAnswer: 2.140578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x, 72 - 83 = -0*r - r - x for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1340*i**3 - i + 1351*i**3 + 2*i.\nAnswer: 2691*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 792601081 a multiple of 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.78473 nanometers to meters.\nAnswer: 0.00000002678473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.05, 0.07, -104, -2\/7, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - a + 12 = h, -3*a + 12 = 0. Suppose -5*s = h*g - 14, -3*s + 3*g - 8 = -4*s. Solve -s*n + 0*n = -2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}